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Do the exercises, then come up with your own exercises. The best exercises are the ones which test your understanding of two different books. (These are the ones you have to come up with.)
–
Qiaochu YuanFeb 20 '11 at 12:31
I definitely agree with the advice of "coming up with your own exercises". It is certainly the best way to learn mathematics. Let me also add the advice of "coming up with your own proofs of results in the text". If you find it difficult to come up with your own exercises, then it is also a good idea to search online or look at many different books to find good exercises.
–
Amitesh DattaJun 25 '11 at 1:35
1
@Quiaochu Yuan: What did you do if you could not solve ''your own exercise''? Normally, I got alot of my own problems when I study a new mathematical theory, and I could not answer them. Then I try to abandon them and come back in a beautiful day :D
–
ArsenalerMar 29 '12 at 2:12
Your question is probably appropriate for the nearly-in-beta-SE area51.stackexchange.com/proposals/64216/…. Check out the proposal and commit to it if you're interested. Then we can get it off the ground and get the site in beta!
–
Xoque55Mar 3 at 4:58
13 Answers
The only way is to put in a lot of time, to not give up, and to keep studying. As Agusti Roig mentions, the importance of doing exercises cannot be downplayed - working things out for yourself is absolutely necessary when trying understand things more deeply.
For me one of the most important things has been asking myself questions. Lots of questions Why does the theorem have theses hypothesis? Why this definition? What was the key idea in the proof? Can I apply this idea, this method of proof to other questions? For what kinds of questions will this method fail, and why does it fail? Is there another proof? Terence Tao has a good blog post about this titled "Ask yourself dumb questions – and answer them.
The more time you spend thinking about a subject, the better you will understand it.
Try to learn a subject you find more difficult by reading more then just your notes from class. You can rent math books from your local libary or even at your school.
In my case I used to watch math videos about several subjects I had problems with and it helped me alot.
A place where you can find a collection of several math video website is:
As last almost all teachers say "practice, practice and practice" and it's true but practice the subjects with a focussed mind. Another extremely helpful website is Wolram Alpha, take some time to learn how to work with this website and it'll be a great help in checking your solved excersises and learning.
Mathematics nowaday is a very rich field and has many applications. Doing the exercises, fighting with your own questions... are very good advices. I just want to mention another interesting activity, that is finding the connections between various fields of maths, like the connections between commutative algebra and representation theory or commutative algebra and combinatorics... It may not have connections in the whole subject, but it may have in some specific theorems. Finding such connections can help us seeing the bigger picture and may be some astonishing proofs...In my case, it motivated me alots.
Spending lots of time doing math is necessary but not sufficient. To do math effectively, there must be an intensity to your study. I wear earplugs while I work, and use the StayFocusd extension to Chrome so that when the going gets tough, I have to actively decide to start dicking around by going through the somewhat involved process of disabling that app.
I also have to keep in mind that Wikipedia is not always my friend. It is rarely inaccurate, but the writing style is horrid and the notation is invariably different than that used in your text. Plus, when your text says something inscrutable, it's best to just battle it rather than pray to God that Wikipedia will have that magical statement that makes it facile. Once you're on Wikipedia, you can get hopelessly diverted for hours. Limit your Wikipedia time per day to (say) 15 minutes via the StayFocusd app.
When doing homework, write it out on paper, then TeX it up for submission to your professor. I cannot tell you how many times I've found huge gaps in my proofs while typing it up. Never TeX before writing a proof out completely on paper.
To add one more idea, which may work for some of you (it works great for me): try invent applications of what have you just learned. Naturally, they can be purely theoretical uses and have nothing to do with applied math.
What corollaries follows from the theorem? Does it allow you to gain any deep insights or to work out some intuition?
With what other lemmas you can combine it? What do you gain?
Can you construct a non-trivial example for it? Is the result meaningful in any way?
Sometimes: can you find a non-trivial example in real world (i.e. formulate the theorem using real-world entities, e.g. for a sphere you could use the globe, for some sequences you could use stock market prices, also there are many real-world posets, and all the probability theory fits into real life just perfect)?
What are the downsides of the theorem (e.g. is it only existential or maybe computationally impossible)? Are there any nice things that are just beyond the scope of the theorem? What would you need to have to close the gap, is it possible?
I have used that approach for quite some time with success in wide range of domains including not only calculus, functional analysis or topology, but also logic, abstract algebra, combinatorics and category theory. This also works in problem solving -- starting with special cases may help you a lot if you are stuck (this is also one of the advices given by Pólya in his famous How to Solve It).
I agree with tim. If ur a right brian learner, u should first get a general idea of what the topic is trying to do. Ex: calc 1 is all about integration and differentiation, after u get the general idea then work in the details
1) Work the proofs. Work them hard. I said work, and not learn, for a specific reason. Many students just think if you are able to recite the proof, it's ok.
What you have to do is (in my opinion) :
Understand which part of the proof is a key idea. Not all statements are equally important.
Understand why there is this condition, and not another one. Aka find counter-examples. It's one of the first exercice you should do. It can be really hard for some theorem, but it is very instructive. As already stated, ask yourself questions !
2) Do exercices. A lot of them. And by a lot, if you are undergrad, I mean a lot.
Never skip a correction even if you have the good results. You should always try to see differences between your answer and the book one.
Learn to be good in mental calculus. Yeah, it's annoying to work, but you have to do it.
Do not work only short exercises. Working problems helps to get the "big picture", especially when you mix tools like analysis and algebra together.
If you are stuck in an exercise after some time, ask help, dont put it away. Not be able to do an exercise on your own is the way to make some progress. Even the best mathematicians ask help to their collaborators.
But the most important point (third one) is to be patient, and to enjoy working. Math is not a quickly rewarding field, but it's worth it.
If "staring" means "I have no thoughts", then you are probably stuck at some tough place. Mathematics was developed for centuries, do not expect of yourself to develop it by your own in minutes. Put in words what you are stuck at, ask people.
I'd found revealing to switch between textbooks on the same subject, as textbooks have different strengths and weaknesses. However, this method has its own disadvantage, because you should integrate knowledge from different books on your own. They may use different notations etc.
I think different books may have different view point and in my case, if I get troubles with chapters, definitions,... I switch to other books. The advantage is that you can see the bigger picture and improves your synthesis ability :)
–
ArsenalerMar 29 '12 at 2:18
A math book usually represents a way of thinking about a topic, a perspective on that topic. Hence, you have to agree with the authors opinion on how to present the topic in order to get a useful learning approach. (Contrary, if you completely disagree with the book's perspective, you may regard it as a challenge.)
In my experience, learning achievements are enhanced if you let the knowledge flow through you own hands. This means you have to put down the content of the book in a way which fits your way of thinking best. The author will probably have a (slightly) different perspective than you have, due to taste and ability.
A good approach towards a book is: "The author is lying." - each line of the book has to be justified. If you can't do so, you do not understand the topic in full.
Furthermore, I have made the experience it is inevitable to spend lots of time with the matter. Difficult and inaccessible proofs may unveil if you read it over and over again (imo, good examples of these are Hörmander's books on linear pde).
I like your question. For me, I prefer to get a big picture first. If books that I have do not work for me in this way, perhaps because of my weak math background, I will search online for a comprehensive overview and mostly be led to Wikipedia. More details will be pursued when needed.
First, besides the book, you need paper and a pen. Second, you must do the exercices of the book. Third, you must do the exercises of the book. Fourth, you must do the exercices of the book. Fifth..., did I mention you must do the exercises of the book? -Do them! | 677.169 | 1 |
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "…a good, solid instructional text on the basic tools of numerical analysis." | 677.169 | 1 |
MathematicsCalc is arbitrary precision C-like arithmetic system that is a calculator, an algorithm prototyper and mathematical research tool. Calc comes with a rich set of builtin mathematical and programmatic functions | 677.169 | 1 |
Synopses & Reviews
Publisher Comments:
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It is true that only schematics versions of 'life problems' lead to general mathematical theory. However: (a) the students bring 'life' into the classroom with them. (b) the process of moving from life to the APPROPRIATE' schematic is part of mathematics (applied mathematics).
Isn't there room for some movement in the class which involves some 'life' (open-ended messy problems of potential complexity) and the theory? Even when I think I have already done this - I have been struck by what happens when students ('good students') try to work back from the theory to a real, physical example. The experience reveals a lot of misunderstanding. The learning which happens then seems essential to a well-rounded course of mathematics. | 677.169 | 1 |
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Wayne State University of Detroit, MI is proud to offer a workshop for high school mathematics teachers. The course builds on algebraic modeling concepts developed in Algebra II, and all of the material presented is developed around real-world contexts that answers the question - When will I ever use this? It is designed for a wide range of student mathematical abilities.
There is no cost for participation in the workshop. Participants will gain access to materials including a full textbook, curriculum, and online support which can be implemented in any school as a fourth year mathematics course.
With more than 50 schools across Michigan, North Carolina, California, Georgia, and New York participating in the curriculum, the analytics course has proven to be popular amongst teachers, administrators, and students alike. As the only curriculum which seeks to answer the question of, "When will I ever use this?", partners have said the following about this opportunity:
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The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able... more... | 677.169 | 1 |
Linear Algebra : Introduction - 2nd edition
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books.google.co.uk - This... and Fundamental Concepts of Mathematics
Foundations and Fundamental Concepts of Mathematics
This as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics. The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.
LibraryThing Review
User Review - LibraryThing
This is an excellent book tracing the history of deductive procedures and key concepts relevant to the foundation of modern mathematics, specific focus on deductive axiomatics and the utility of generality. The book starts with babylonian and egyptian empirical mathematics which were based upon experience and induction, contrast them to deduction, and then moves onto material axiomatics and Euclids elements. Next we encounter non-euclidiean geometry as a shaking up in the foundations of math, and then we encounter generalizations of geometry and hilberts axiomatic treatment of geometry. Following this we get an introduction to algebraic structure with comments on algebra before it was realized that the laws of "normal" algebra could be dropped (eg: commutation) -- called here "the liberation of algebra, analagous to the liberation of geometry (dropping the parallel postulate) -- to give way to new (and useful) structures such as Hamilton's Quaternions, and Caley's Matrices. Fields, and ordered fields are presented. Groups are presented along with their utility to geometry. In the problems you can get introduced to other structures as well, such as rings. Next up we get a full statement of the formal axiomatic method and it's importance to pure mathematics. Pure mathematics is contrasted to applied mathematics which in this view is verifying concrete models or interpretations of a pure systems. Illuminatings examples are given. Finally in the last three chapters you see an overview of how to construct the real numbers based on the smaller axiom set of the naturals following a chain of definitional introductions naturals => integers => rationals => reals => complex numbers and what this means for the foundations of math. Then you get a brief intro to set theory and logic along discussions on some of the philosophic issues. Splendid book. You can read this with no background whatsoever and you will come away having learned many important concepts and notions which will serve you very well if you continue to take the path of exploring the world of mathematics.
Cool little history that starts in the ancient world and works through modern development of formal axiomatics (Gödel noted as crushing formal axiomatics, which everyone noted and then yawned).Read full review
book.store.bg - Foundations and Fundamental Concepts of ... Like the title says, Eves' text is a historical analysis and introduction to the foundations and fundamental concepts of mathematics. If you are interested ... import.book.store.bg/ product/ id-048669609X/ foundations-and-fundamental-concepts-of-mathematics.html?printthispage=1 | 677.169 | 1 |
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Advanced math students benefit from placement in our comprehensive Algebra 1 course. Our Lesson Manual contains detailed instructions and easy-to-follow examples. Although parents remain involved, the Lesson Manual is written to the student. Our solutions manual provides step-by-step answers to textbook problems. Also included are lessons to teach the use of graphing calculators and a download for an easy-to-use computer program that replaces expensive graphing calculators. | 677.169 | 1 |
TAUGHT BY
Mohammed Kaabar is interested in several programming languages such as Scala, C++, C, JavaScript, Python, HTML 5 and MATLAB Programming.
He became IEEE Student Member, IEEE Computer Society Member, IEEE Electron Devices Society Member, IEEE Women in Engineering Society Member and IEEE Communications Society Member, in 2011 and 2012, respectively. In 2011 & 2012, he participated in several competitions, conferences, research papers and projects. In 2011, he attended also a three-month course in numerical approximation techniques including error analysis, root finding, interpolation, function approximation, numerical differentiation, numerical integration and numerical solutions of initial value problems. Ultimately, he worked on several projects such as "PCA Implementation and Classification of Data in Recognition of Arabic Sign Language Alphabet using Polynomial Classifiers" and "Modeling a GaAs MESFET Device Structure using Silvaco Software:Athena and Atlas". For more information about him, please visit his personal website:
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Advanced Numerical Analysis
In this course, you will be Introduced to several numerical approximation methods such as interpolation: divided difference, polynomial approximations, iterative methods for
solving linear systems, numerical differentiation and numerical integration.
During five weeks of the course, you will be learning these methods and compare them as well.
The course is divided into five weeks where each week you will
find a set of video lectures posted with a PDF version of lecture notes
as well.
You are welcome to take this course if you want to learn and study the advanced numerical analysis methods.
Use the divided difference to interpolate and approximate functions by polynomials.
Use the iterative methods with algorithms to implement several numerical methods.
Apply the midpoint rule for finding numerical integration.
Apply the trapezoidal rule for finding numerical integration.
Use the divided difference formula to proof the approximation part and error part in the basic quadrature rules.
The ability to use computer software such as Maple to apply several numerical methods and approximations.
What is the target audience?
Anyone who wants to learn advanced methods in numerical analysis.
Students who had a background in the bascis of numerical analysis.
Students who had a background in the linear algebra.
CURRICULUM
SECTION 1:
Week 1: Solutions of Equations in One Variable
1
Newton's Method for Systems
In this lecture, you will be introduced to newton's method for system using inverse jacobian with partial derivatives and vectors. At the end of this lecture, you will given an example of how to use newton's method for system in order to solve system of linear equations.
30:40
2
Müller's Method
In this
lecture, you will be introduced to muller's method and how to use it to approximate a function in the neighborhood of the root by quadratic poloynomial. At the end of
this lecture, you will given an example of how to use muller's method
for solving system of linear equations.
30:08
SECTION 2:
Week 2: Interpolation and Polynomial Approximation
3
Divided Difference (Part I)
In this
lecture, you will be introduced to interpolation: divided difference method and how to use it to construct polynomial of order (n) . At the end of
this lecture, you will given an example of how to use divided difference method in order to construct polynomial of order (n).
39:18
4
Divided Difference (Part II)
In
this
lecture, you will be introduced to interpolation: divided difference
method and how to use it to find the distance between two points using both delta notation and del notation . At the
end of
this lecture, you will given an example of how to find the squared and cubic distance between two points using both delta notation and del notation.
23:24
5
Evenly-Spaced Data
In
this
lecture, you will be introduced to the concept of evenly-spaced data and. In addition, you will given several examples about evenly-spaced data.
23:22
6
Newton's Forward Divided Difference
In
this
lecture, you will be introduced to newton's forward divided difference using binomial coefficient notation. In addition, you will given an example of how to use newton's forward divided difference to approximate a polynomial at a point not in the table of data.
32:51
7
Newton's Backward Divided Difference
In
this
lecture, you will be introduced to newton's backward divided difference using binomial coefficient notation.
18:08
SECTION 3:
Week 3: Spline Interpolation
8
Linear Spline Interpolation
In this lecture, you will be introduced to spline interpolation in
general and linear splines in particular. Then, you will given an
example about linear spline interpolation, and how to use Maple 11 to
solve it.
28:59
9
Quadratic Spline Interpolation
In this lecture, you will be introduced to quadratic splines.
Then, you will given an example about quadratic spline interpolation,
and how to use Maple 11 to solve it.
29:46
10
Cubic Spline Interpolation
In this lecture, you will be introduced to cubic splines. Then,
you will given an example about cubic spline interpolation, and how to
use Maple 11 to solve it.
18:48
11
Problem Set
This problem set is a review for the material of week 3.
I highly recommend you to solve this problem set before looking at problem set solutions.
GOOD LUCK!
3 pages
12
Problem Set Solutions
After you are done with solving the problem set, please review your
answers with the given solutions in order to learn from your mistakes.
GOOD LUCK!
4 pages
SECTION 4:
Week 4: Iterative Methods for Solving Linear Systems
13
Jacobi Method
In
this
lecture, you will be introduced to jacobi method which is one of the iterative methods for solving linear systems. In addition, you will given an
example of how to use jacobi method to solve a system of linear equations.
17:16
14
Gauss-Siedel Method (Part I)
In
this
lecture, you will be introduced to gauss-siedel method which is one of the iterative methods for solving linear systems.
17:01
15
Gauss-Siedel Method (Part II)
In this lecture, you will be introduced to whether matrix is diagonally dominant or not in order to use it for applying gauss-siedel method. Moreover, several examples about that were given.
10:43
16
Successive Over Relaxation (SOR) Method (Part I54
17
Successive Over Relaxation (SOR) Method (Part II14:10
18
Successive Over Relaxation (SOR) Method (Part III48
SECTION 5:
Week 5: Numerical Integration and Differentiation
19
Basic Quadrature Rules (Midpoint Rule)
In this lecture, you will be introduced to the midpoint rule which is one of the basic quadrature rules. Moreover, you will be introduced the proofs of both approximation part and error of midpoint rule.
18:09
20
Basic Quadrature Rules (Trapezoidal Rule)
In this lecture, you will be introduced to the trapezoidal rule which is one of the basic quadrature rules. Moreover, you will be introduced the proofs of both approximation part and error of trapezoidal rule.
20:40
SECTION 6:
Week 6: Wrapping Up
21
Course Conclusion
In this lecture, you will given a summary of all topics discussed in the Advanced numerical analysis course.
01:32
SECTION 7:
Week 7: Optional Final Exam
22
Advanced Numerical Analysis Final Exam
20 questions
REVIEWS
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0
AVERAGE RATING
NUMBER OF RATINGS
Amazing Advanced Course
This is a great course to learn about advanced topics in numerical analysis in very easy way because the instructor of this course makes everything easy to follow and gives an excellent coverage of the topics in his lectures. He also has a great knowledge of all topics of the course with all their applications because he teaches these topics using all modern education tools in order to make his students understand everything in the course and love the course in general and all courses related to numerical analysis.
Thanks Mohammed Kaabar for teaching this advanced version of your introductory course "Introduction to Numerical Analysis".
I really enjoyed this course and I found it very helpful for understanding advanced numerical approximation techniques that can be used in several real life applications. In addition, the instructor makes the course topics very interesting because he teaches the course material in an excellent way by explaining first the concept, giving many examples about that concept, and then comparing between this concept and other discussed concepts.
Great Course
The Advanced Numerical Analysis course is a great course and very helpful in our life as well as it includes amazing topics in advanced numerical analysis such as newton's method, Muller's method, Divided difference, iterative methods and numerical integration & differentiation. In addition, the instructor is excellent because he taught the material of this course in an excellent way that makes everyone understands the course material easily without any difficulty.
Amazing Advanced Course in Numerical Analysis
This is an amazing course for anyone interested in mathematics, statistics, advanced numerical analysis and engineering because it can benefit them to solve complex mathematical, physical and engineering problems. I highly recommend everyone to register this advanced version of "Introduction to Numerical Analysis" course if you want to learn advanced topics in numerical analysis.
Thank you for offering Advanced Numerical Analysis
Thanks for offering this excellent course. I really liked this course so much because you made a huge effort in order to offer for us a free online course in advanced numerical analysis, and I learned several topics in advanced numerical analysis such as muller's method, newton's method using vector and inverse jacobian, divided differences, jacobi method, gauss-siedel method, SOR method and numerical integration and differentiation. | 677.169 | 1 |
...I Algebra 1 covers many different topics that are just built upon in Geometry, Algebra 1, pre-calculus, and beyond | 677.169 | 1 |
Andrew Baines, J. M. Bond
Publication Year:
28/06/2007
Subject:
School Textbooks & Study Guides
Format:
Pamphlet
Subject 2:
School Textbooks & Study Guides: Maths, Science & Technical
Language:
English
ISBN:
9780748781133
EAN:
9780748781133
Detailed item information
Description
Bond Assessment is the only series of graded practice papers for age 6 to 11+ in all four subjects commonly assessed in entrance examinations. Providing thorough and continuous practice of key Maths skills, these essential study guides really can help children succeed.
Key Features
Author(s)
Andrew Baines, J. M. Bond
Publisher
Nelson Thornes Ltd
Date of Publication
28/06/2007
Language(s)
English
Format
Pamphlet
ISBN-10
0748781137
ISBN-13
9780748781133
Genre
School Textbooks & Study Guides: Maths, Science & Technical
Publication Data
Place of Publication
Cheltenham
Country of Publication
United Kingdom
Imprint
Nelson Thornes Ltd
Out-of-print date
17/05/2012
Content Note
Illustrations
Dimensions
Weight
148 g
Width
190 mm
Height
248 mm
Spine
6 mm
Pagination
76 | 677.169 | 1 |
Getting Started with MATLAB 7 : A Quick Introduction for Scientists and EngineersRG Familiarizes users with MATLAB in just a few hours though self-guided lessons RG Discusses new features and applications in MATLAB 7 RG Covers elementary, advanced, and special functions RG Includes numerous new examples and problems RG Supplements any course that uses MATLAB RG Works as a stand-alone tutorial and reference MATLAB, a software package for high-performance numerical computation and visualization, is one of the most widely used tools in engineering field today. Its broad appeal lies in its interactive environment with hundreds of built-in functions for technical computation, graphics, and animation. In addition, it provides easy extensibility with its own high-level programming language. Enhanced by fun and appealing illustrations,Getting Started with MATLAB 7: A Quick Introduction for Scientists and Engineers employs a casual, accessible writing style that shows users how to enjoy using MATLAB.
Rudra Pratap is Professor of Mechanical Engineering at the Indian Institute of Science in Bangalore. | 677.169 | 1 |
Book Information
What's the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching--supported by Rogawski's "Calculus Second Edition"--the most successful new calculus text in 25 years Widely adopted in its first edition, Rogawski's "Calculus" worked for instructors and students by balancing formal precision with a guiding conceptual "Calculus" success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.
Book description
What's the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski's Calculus Second Edition—the most successful new calculus text in 25 years!
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Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus.
Now Rogawski's Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning | 677.169 | 1 |
Summary: Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on how to solve challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next, through numerous problem solving techniques. A large col...show morelection of problems, varying in level of difficulty, are integrated throughout the text, and suggested hints for the more challenging problems appear in the instructor's solutions manual for use at instructor's discretion. ...show less
4-1 Ratio, Proportion and Similar Polygons 4-2 Further Applications of the Side Splitting Theorem and Similarity 4-3 Areas of Similar Figures 4-4 The Golden Ratio and the Construction of a Regular Pentagon 4-5 Circumference and Area of a Circle 4-6 Other Recursive Formulas for Evaluating p 4-7 Trigonometric Functions
New Book. Shipped from UK within 4 to 14 business days. Established seller since 2000.
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Find a Munster CalculusSome of these concepts include: linear equations, inequalities, graphing, quadratic functions, exponents, logarithmic and exponential equations, and factoring. Algebra 2, also known as Intermediate Algebra, is the next step in the mathematical maturity of a student. Many of the skills learned in Algebra 1 are reviewed during the early stages. | 677.169 | 1 |
intellectually stimulating set of non-routine algebra problems.
The non-routine algebra problems in this text provide a stimulating intellectual workout. By non-routine, I mean that the problems require insight and, in some cases, ingenuity to solve. Rather than teaching you a skill and asking you to practice it, the authors assume that you have already developed those skills and ask you to apply them to unfamiliar and difficult problems. The problems draw upon topics taught in elementary, intermediate, and advanced algebra classes. Those topics include equations and inequalities; systems of linear equations; arithmetic, geometric, and harmonic means; relations and functions; maxima and minima; the relationship between algebra and geometry; sequences and series; combinatorics and probability; number theory; and Diophantine equations.
Answers to all the problems in which a numerical answer or an algebraic expression is sought are given in an answer key, which gives you a chance to check your answer before reading the authors' solutions. However, not all those answers are correct.
Solutions to all of the principal problems are given in a solution key, which is more reliable than the answer key. However, no solution is given to some of the problems that are variations on or extensions to the principal problems. While the authors label these variations and extensions "Challenges," they are generally no more challenging than the principal problems. The solution key is worth reading even if you have solved a problem correctly. The authors often solve not only the problem at hand but show you solve an entire class of related problems. Reading the solutions is also useful since the techniques developed there can sometimes be applied to subsequent problems in the text.
Reading the appendices before commencing work on the problems is advisable since the relationships and techniques discussed in the appendices are useful in solving the problems. The appendices address terminating digits; the remainder and factor theorems; maximum product, minimum sum problems; arithmetic, geometric, and harmonic means; divisibility tests; the binomial theorem; some useful algebraic relationships; and how to write a proof by mathematical induction.
Working through this text will enhance your problem-solving skills and extend your knowledge of algebra. The level of difficulty of the problems is similar to those in the American Mathematics Competition (AMC), which is not surprising since Charles T. Salkind was the editor of the American High School Mathematics Examination (AHSME), as the AMC was then known, from its inception in 1950 until his death in 1968. Unlike those problems, these problems are not multiple choice. While in many problems a numerical answer or an algebraic expression is sought, these problems also include proofs and investigations of algebraic relationships. While some editing errors detract from the quality of this text, the quality of the problems makes working through it worthwhile.
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Appendix B. Linear algebra - Pg. 335
appendix B: Linear algebra To understand advanced machine learning topics, you need to know some linear algebra. If you want to take an algorithm from an academic paper and implement it in code or investigate algorithms outside of this book, you'll probably need a basic understanding of linear algebra. This appendix should serve as a light refresher or introduction if you've had this material before but it's been a while and you need a reminder. If you've never had this material before, I recommend that you take a course at a university, work through a self-study book, or watch a video. Free tuto- rial videos are available on the internet 1 as well as full recordings of semester-long courses. 2 Have you ever heard "Math is not a spectator sport"? It's true. Working through examples on your own is necessary to reinforce what you've watched oth- ers do in a book or video. We'll first discuss the basic building block of linear algebra, the matrix. Then we'll discuss some basic operations on matrices, including taking the matrix inverse. We'll address the vector norm, which often appears in machine learning, | 677.169 | 1 |
This text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.In this First Edition, the authors have also integrated many components into the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.
In the seven years since the publication of his first book, Functional Training for Sports, new understanding of functional anatomy created a shift in strength coaching. With this new material, Coach Boyle presents the continued evolution of functional training as seen by a leader in the strength and conditioning field.
Helping graphic designers expand their 2D skills into the 3D space The trend in graphic design is towards 3D, with the demand for motion graphics, animation, photorealism, and interactivity rapidly increasing. And with the meteoric rise of iPads, smartphones, and other interactive devices, the design landscape is changing faster than ever.2D digital artists who need a quick and efficient way to join this brave new world will want 3D for Graphic DesignersIf you're familiar with HTML, using the information in Learning PHP, MySQL, javascript and CSS, you will quickly learn how to build interactive, data-driven websites with the powerful combination of PHP, MySQL, javascript and CSS - the top technologies for creating modern sites. This hands-on guide explains each technology separately, shows you how to combine them, and introduces valuable web programming concepts such as objects, XHTML, cookies, and session management.
This book assumes familiarity with threads (in a language such as Ada, C#, or Java) and introduces the entity-life modeling (ELM) design approach for certain kinds of multithreaded software. ELM focuses on "reactive systems," which continuously interact with the problem environment. These "reactive systems" include embedded systems, as well as such interactive systems as cruise controllers and automated teller machines.
Written for students who need a refresher on Plane Euclidean Geometry, Essentials of Geometry for College Students, Second Edition, incorporates the American Mathematical Association of Two-Year Colleges (AMATYC) and National Council of Teachers of Mathematics (NCTM) Standards on geometry, modeling, reasoning, communication, technology, and deductive proof. To make learning interactive and enjoyable, this new edition includes exciting new features such as Technology Connections and Hands-on Activities. Knowledge of beginning algebra and a scientific calculator are required for this text. | 677.169 | 1 |
College Prep Algebra 2A Mrs. Manor
Contact Information
Email: [email protected] VoiceMail: 432-6941 x2873
If possible, I prefer to be contacted via email as it is easier to respond in a timely manner.
Expectations Be Ready Be Respectful Be Responsible
Be on time and prepared for class. Expect to work bell to bell.
Math class must be utilized doing math.
Materials
Bring your textbook (covered); notebook, folder, or binder; scientific or graphing calculator; and a pencil
to class EVERY day. NOTE: Other devices cannot be used in lien of an approved graphing calculator.
Homework
Homework will be assigned almost daily and is due at the beginning of the next class period. Homework
will be checked and recorded periodically. To receive full credit, you must make a reasonable attempt to
complete each problem AND you must check to see if your answers are correct. Answers to homework
are either provided or in the back of the textbook. Incomplete, illegible, unchecked, and answers-only
homework will receive no credit.
Homework plays a critical role in understanding the concepts of this course. Each homework builds on
previous homework – so it is important to do your homework daily and not get behind.
If you don't get it – get help – quickly.
You will be assigned sections from the book to read periodically. You should read the other sections
covered as well to better prepare for class and for deeper understanding.
Class Work/GroupWork
You will occasionally work on in-class assignments. They must be turned in by the end of the period for
full credit. You will periodically work in small groups in and out of class. Some projects require
independent thinking by the groups. The entire group must participate to get credit.
Homework/Class Work/Group Work Format
Copy the original problem from the text onto your paper (not necessary if a worksheet). Beneath the
problem – show ALL steps necessary to solve the problem (or provide a detailed written explanation).
Don't say, "I did it in my head." I cannot read your mind. I need to see your thinking process on your paper.
Clearly identify the answer by circling/boxing. Skip a line and go on to the next problem.
All work must be shown AND the work shown must support the answer given. Your final answer should
be circled if possible and checked if answers are available. All work must be neat, organized, readable,
and in pencil. All answers must include labels/units if appropriate.
Name, date, unit, and day are required on all assignments.
Reviews
A review assignment is given prior to most tests for preparation and practice. Answers are provided.
Reviews are not collected. In-class review time must be used to work on the review.
Quizzes and Tests
Quizzes and tests will be given periodically. They must be done in pencil. Non-pencil assessments will
lose one letter grade. There are no retakes. Make-ups are scheduled in accordance with days missed. If
absent one day – you have one day to make up. If absent two days – you have two days to make up. Etc.
You will lose one letter grade off your score for every day late on make-ups. If you are absent on a
review day – you are expected to take the test upon return – so be prepared. All quizzes and tests will be
collected and kept in student folders.
Attendance/Tardiness
Attendance is expected. Reference student handbook for attendance policies.
If absent – YOU are responsible for:
getting all missed notes and work
handing in any work due during your absence
scheduling any make-ups for missed tests, quizzes or competencies
I will not pursue you about your missed work or make-ups.
Unexcused tardiness will not be tolerated. You are allowed one warning for an unexcused tardiness. All
subsequent tardies will result in time AFTER school.
Class Rules and Regulations
Be respectful of self and others. Disrepsect will not be tolerated.
Be responsible for your actions.
Cheating (as defined in the student handbook) will not be tolerated.
Bathroom/locker passes will not be issued while I am teaching unless it is an emergency. Please ask for a
pass before class starts or after the lesson.
Whenever you leave the room for any reason, you must sign out in the log book and have a pass. Upon
returning, sign back into the log book and return the pass.
Passes to the café are not allowed. Please do not ask for one.
Extra Help
Math Lab: The math lab is a resource that can be utilized by all students during lunch and/or study. It is
located next to the Main Office (room 146). There is always a math teacher on duty.
Extra Help: I am available for extra help on a daily basis with the exception of Tuesdays and an
occasional personal appointment. Make sure to let me know what time to expect you.
Peer Tutoring: After school every Tuesday in room 157 by Math Honor Society.
If you don't get it – GET HELP. Your success depends on | 677.169 | 1 |
Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism. Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory. less | 677.169 | 1 |
Find a Vallejo PrecalculusThe following topics from calculus 2 and calculus 3 can also be covered:
Partial differentiation, directional derivatives, total derivative, vector and scalar fields, tangent planes, matrix form of chain rule, line integrals, the gradient, multiple integrals, Green's theorem in the plane, surface | 677.169 | 1 |
prepare students for future Algebra courses and also consolidate the core ideas of previous mathematics courses, so that it will serve students of varied mathematics backgrounds. The contents of this course are many of the fundamental ideas and procedures necessary to be successful in subsequent mathematics courses and many careers.
Explore the world around you with pages of colorful photos, helpful illustrations, exciting Case Studies, and hands on activities using everyday materials. Learn how environmental science concepts are connected to your everyday life.
The U.S. Constitution outlines six fundamental principles that have guided American government for more than 200 years. The Framers of the Constitution established these six principles-popular sovereignty, limited government, separation of powers, checks and balances, judicial review, and federalism-as the basis of our national government.
Larson Pre-Algebra is designed for students who are studying pre-algebra, algebra, geometry, and advanced algebra. It emphasizes critical thinking and reasoning, and helps students to develop strong skills through mathematical modeling and problem solving.
Academic Vocabulary for the Unit Academic vocabulary is the language you use to talk and write about the subjects you are studying, including math, science, social studies, and language arts. Understanding and using academic vocabulary correctly will help you succeed in your classes and on tests.
This edition contains unit lessons on Plot, Conflict, and Setting, Analyzing Character and Point of View, Understanding Theme, Mood, Tone, and Style, Myths, Legends, and Tales, Biography and Autobiography, Information, and Argument, and Persuasion.
The Texas Student Edition includes a special preface that goes over the Texas Skills and a guid to Academic Success that involves understanding the TEKS and Texas Assessment Strategies. This text book was created in consultation with Reading and Literary Specialists, Media Specialists, English Learners Specialists, Curriculum Specialists, Teacher Advisors and Texas Teacher Reviewers.
The Common Core State Standards insist that the responsibility for helping students achieve literacy is not the sole responsibility of the English teacher. The authors describe what today's children need to know and be able to do to thrive in post-secondary education and the workplace | 677.169 | 1 |
Fourier Analysis - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to Fourier analysis, which studies approximations and decompositions of functions using trigonometric
polynomials. Of incalculable value in many applications of analysis, this field has grown to include many specific and powerful results, including convergence criteria, estimates and inequalities, and existence and uniqueness results. Extensions include the theory of singular integrals, Fourier transforms, and the study of the appropriate function spaces. Also approximations by other orthogonal families of functions, including orthogonal polynomials and wavelets. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.
more>>
An Introduction to Wavelets - Amara Graps; Institute of Electrical and Electronics Engineers, Inc.
A paper giving an overview of wavelets: mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. Wavelets have advantages over traditional Fourier methods in analyzing physical situations where the signal contains discontinuities and sharp spikes. This paper include information about signal processing algorithms, Orthogonal Basis Functions, and wavelet applications.
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Wavelet Digest: wavelet.org - Wim Sweldens
A free monthly newsletter with all kinds of information concerning wavelets; announcement of conferences, preprints, software, questions, etc. The latest issue and searchable copies of back issues (beginning in 1992) are available; links to other wavelet sites are provided.
more>>
The Wavelet Tutorial - Robi Polikar
The engineer's ultimate guide to wavelet analysis: a tutorial that explains basics of signal processing with a focus on the technique of wavelet transformations (WT). Basic concepts of importance in understanding wavelet theory; Short Term Fourier Transform (STFT) (used to obtain time-frequency representations of non-stationary signals); continuous wavelet transform (CWT) (how problems inherent to the STFT are solved); discrete wavelet transform (a very effective and fast technique to compute the WT of a signal). Bibliography included.
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All Sites
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found, showing 1 to 50
1ucasvb's lab - Lucas Vieira
Diagrams and animations from a longtime contributor to Wikipedia's math and physics articles. Posts, which date back to February 2013 and feature graphics coded in POV-Ray and PHP, include "Experimenting with sound: the polygonal trigonometric functionsDrums That Sound Alike - Ivars Peterson (MathLand)
Peterson writes that physicists and mathematicians have long recognized that the shape of the boundary enclosing a membrane plays a crucial role in determining the membrane's spectrum of normal-mode vibrations. He outlines the progress made on Mark Kac's
...more>>
The Fast Lifting Wavelet Transform - C. Valens
A tutorial on wavelet filters aimed at engineers. Focusses on "lifting," a technique for creating a general framework to design filters for every possible wavelet transform. May be read online or downloaded in PostScript format.
...more>>
FFTW - Matteo Frigo and Steven G. Johnson
FFTW is a C subroutine library for computing the discrete Fourier transform (DFT) in one or more dimensions, of arbitrary input size, and of both real and complex data. Download FFTW; read about its features; subscribe to its mailing list for announcements.
...more>>
Fourier Synthesis - Manfred Thole
A periodic signal can be described by a Fourier decomposition as a Fourier series, i.e. as a sum of sinusoidal and cosinusoidal oscillations. By reversing this procedure a periodic signal can be generated by superimposing sinusoidal and cosinusoidal waves.
...more>>
Gamelan - The Official Java Directory - EarthWeb, Inc.
Gamelan's primary mission is to serve as a central registry and directory of Java resources. Much like Yahoo!, Gamelan collects links to resources stored on other sites across the Web. However, unlike Yahoo!, Gamelan's mission is specific - Gamelan collects
...more>>
Jeffrey C. Lagarias
A member of the University of Michigan Department of Mathematics. List of publications, with many available for download in PostScript format; Lagarias' research interests include Number Theory, also Computational Complexity Theory, Cryptography, Discrete | 677.169 | 1 |
Geometry Seeing, Doing, Understanding
9780716743613
ISBN:
0716743612
Edition: 3 Pub Date: 2003 Publisher: W H Freeman & Co
Summary: Jacobs innovative discussions, anecdotes, examples, and exercises to capture and hold students' interest. Although predominantly proof-based, more discovery based and informal material has been added to the text to help develop geometric intuition.
Jacobs, Harold R. is the author of Geometry Seeing, Doing, Understanding, published 2003 under ISBN 9780716743613 and 0716743612. One hundred twenty five Geometry... Seeing, Doing, Understanding textbooks are available for sale on ValoreBooks.com, thirteen used from the cheapest price of $76.04, or buy new starting at $207.86.[read more | 677.169 | 1 |
Using Paul Foerster's Algebra and Trigonometry, this course in Algebra II is targeted for high schoolers who have finished Algebra I. We will be focusing on the first 8 chapters of this book. The second half of the book covers Trigonometry and Advanced Algebra, which will be taught the following year. In completing this book, your child will be ready for Calculus. Class time will be spent in answering question from the previous week's materials and then an introduction to the new material. A schedule, with homework for each week, as well as tests for parents to administer at home, will be made available. The tests can be corrected by the instructor if desired. Susi has a B.S. in mathematics and previously taught in high school. She has tutored private schooled and homeschooled students through the years.
Required Materials
We will be using Paul Foerster's Algebra and Trigonometry by Prentice Hall Classics. This book can be ordered from Veritas Press for $56.76. The link to the book is: number=015041 | 677.169 | 1 |
...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered...
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Success your children catch up...
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Richard Elwes is a writer, teacher and researcher in Mathematics, visiting fellow at the University of Leeds, and contributor to numerous popular science magazines. He is a committed and recognized popularizer of mathematics. Of Elwes, Sonder Books 2011 Standouts said, "Dr. Elwes is brilliant at giving the reader the broad perspective...
Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these...
Read more >
THE PRINCETON REVIEW GETS RESULTS. Get all the prep you need to ace the AP Calculus AB & BC Exams with 5 full-length practice tests, thorough topic reviews, and proven techniques to help you score higher. This eBook edition has been optimized for on-screen viewing with cross-linked questions, answers, and explanations. Inside...Read more >
Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these thingsSuccess in math requires children to make connections between the real world and math concepts in order to solve problems. Extra practice can help young problem solvers advance to more complex topics with confidence. The activities in this workbook are designed to help your children catch up, keep up, and get...
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review of the most important test-taking strategies students should need to know to succeed on this exam
Topic review chapters covering all the math students need to know for this test, including: arithmetic, algebra, plane geometry, solid and coordinate geometry, trigonometry, functions and their graphs, probability and statistics, real and imaginary numbers, and logic
Three full-length model tests with complete solutions for every problem
The manual comes with an optional CD-ROM that presents two additional full-length practice tests with answers, explanations, and automatic scoring | 677.169 | 1 |
: A Human Endeavor
For instructors of liberal arts mathematics classes who focus on problem-solving, Harold Jacobs's remarkable textbook has long been the answer, ...Show synopsisFor instructors of liberal arts mathematics classes who focus on problem-solving, Harold Jacobs's remarkable textbook has long been the answer, helping teachers connect with of math-anxious students. Drawing on over thirty years of classroom experience, Jacobs shows students how to make observations, discover relationships, and solve problems in the context of ordinary experience.Hide synopsis
Description:Very Good. 0716704390 Book is lightly used with little or no...Very Good. 0716704390 Book is lightly used with little or no noticeable damage. Unbeatable customer service, and we usually ship the same or next day. Over one million satisfied customers 1350grams, ISBN: 0716704390.
Reviews of Mathematics: A Human Endeavor
Discussions about Mathematics: A Human Endeavor
I love the Jacobs books - I've used Algebra and Geometry with my oldest daughter and had the teachers guide. I'm going to use the 1971 Mathematics book with my younger kids and need to get the answers for this book. Any ideas on where I could get these | 677.169 | 1 |
Algebra 1 Activities
Overview
Welcome to the wonderful world of algebraic computation! This activity book offers puzzles, games, and activities suitable for students who want to have fun while becoming more adept in mathematical skill and ability. Algebra provides many of the core foundations for a large number of career paths. Algebra 1 Activities provides students with a practical, useful, and fun way to learn while preparing for studies in medicine, architecture, computer science, meteorology, media, statistics, accounting, engineering, industry, and parenting. Designed with both the instructor and students in mind, Algebra 1 Activities facilitates meaningful teaching and learning opportunities. It covers various mathematics topics that may be used as follow-up or supplementary activities to guided instruction at the teacher's discretion. Several activities are included for extended practice if required. They are logically arranged for a smooth progression through mastery of mathematics skills and can be adapted to fit the students' needs, abilities, and learning styles. Algebra 1 Activities allows for creativity, flexibility, and the enhancement of learning experiences in mathematics. | 677.169 | 1 |
Offering
9 subjects
including calculus | 677.169 | 1 |
More About
This Book
Math from basic arithmetic to Algebra 2, broken down by subject and then building up from chapter to chapter so readers can group concepts together for easier learning.
A variety of practice exercises with detailed answer explanations for every topic.
A 15-20 question recognition and recall practice set that includes material from the entire chapter (and a few questions that cover material from the previous chapters), to once again reinforce what the reader has learned on a larger scale. Detailed answer explanations follow the practice set.
Meet the Author
Kaplan Publishing is one of the nation's leading publishers of academic and professional development resources. We produce more than 150 new titles annually, on topics such as test preparation, college and graduate school admissions, academic and career development in the legal, medical, education, and general business fields. Kaplan Publishing is the number one provider of test prep materials for a variety of standard tests, including GRE, GMAT, LSAT, PSAT, MCAT, TOEFL | 677.169 | 1 |
Mathematics for Physicists
9780534379971
ISBN:
0534379974
Pub Date: 2003 Publisher: Thomson Learning
Summary: This essential new text by Dr. Susan Lea will help physics undergraduate and graduate student hone their mathematical skills. Ideal for the one-semester course, MATHEMATICS FOR PHYSICISTS has been extensively class-tested at San Francisco State University--and the response has been enthusiastic from students and instructors alike. Because physics students are often uncomfortable using the mathematical tools that they... learned in their undergraduate courses, MATHEMATICS FOR PHYSICISTS provides students with the necessary tools to hone those skills. Lea designed the text specifically for physics students by using physics problems to teach mathematical concepts.
Lea, Susan M. is the author of Mathematics for Physicists, published 2003 under ISBN 9780534379971 and 0534379974. Four hundred fifty eight Mathematics for Physicists textbooks are available for sale on ValoreBooks.com, one hundred ten used from the cheapest price of $41.89, or buy new starting at $44.8834379974 BRAND NEW. PLASTIC WRAPPED. We are a tested and proven company with over 900, 000 satisfied customers since 1997. Choose expedited shipping (if available) for much [more]
0534379974 | 677.169 | 1 |
Description:
"Math Essentials, High School Level" gives high school math teachers
the tools they need to help prepare all types of students (including gifted and learning disabled) for standards based mathematics testing. This dynamic book covers thirty key objectives found ... | 677.169 | 1 |
Homework is a breeze with the Wolfram Pre-Algebra Course Assistant! With the app at your side, you will be able to tackle pre-algebra concepts such as plotting equations on the coordinate plane; graphing inequalities on a number line; and finding the midpoint, slope, and distance between two points.
The app also helps with solving equations and simplifying expressions; converting units of length, area, volume, and weight; and calculating the area, surface area, or volume of a geometric figure.
These are just a few of the examples of how the Wolfram Pre-Algebra Course Assistant App can help you this school year! The app is currently available on the iTunes App Store for $1.99. Click here to learn more about this and our other Wolfram Course Assistant Apps. | 677.169 | 1 |
Elementary Linear Algebra - 7th edition
ISBN13:978-1133110873 ISBN10: 1133110878 This edition has also been released as: ISBN13: 978-1133111351 ISBN10: 1133111351
Summary: The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors' clear, careful, and concise presentation of material--written so that readers can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. Featuring a new design that highlights the relevance of the mathematics and improves readability, the Seventh Edition also incorporates new conceptual Capstone exercises that re...show moreinforce multiple concepts in each section. Data and applications reflect current statistics and examples to engage users and demonstrate the link between theory and practice FAST SHIPPING! Text still in shrink wrap. Order shipped same day if rec'd by 1PM CST. Otherwise next business day. GREAT CUSTOMER SERVICE! Quality textbooks! Upgrade shipping available.
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Facetextbooks Pittsburg, KS
Hardcover 7th Edition text. Hardcover. CLEAN PAGES NO HIGHLIGHTING/ WRITING Used items may have stickers on cover. May have writing/underlining or highlighting, and varying degrees of wear.. Ships fas...show moret | 677.169 | 1 |
TAUGHT BY
Mohammed Kaabar is interested in several programming languages such as Scala, C++, C, JavaScript, Python, HTML 5 and MATLAB Programming.
He became IEEE Student Member, IEEE Computer Society Member, IEEE Electron Devices Society Member, IEEE Women in Engineering Society Member and IEEE Communications Society Member, in 2011 and 2012, respectively. In 2011 & 2012, he participated in several competitions, conferences, research papers and projects. In 2011, he attended also a three-month course in numerical approximation techniques including error analysis, root finding, interpolation, function approximation, numerical differentiation, numerical integration and numerical solutions of initial value problems. Ultimately, he worked on several projects such as "PCA Implementation and Classification of Data in Recognition of Arabic Sign Language Alphabet using Polynomial Classifiers" and "Modeling a GaAs MESFET Device Structure using Silvaco Software:Athena and Atlas". For more information about him, please visit his personal website:
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Introduction to Numerical Analysis
In this course, you will be Introduced to several methods of numerical approximation such as error analysis, root finding, interpolation, polynomial approximation and the direct methods for solving linear equations.
During five weeks of the course, you will be learning these methods and compare them as well.
The course is divided into five weeks where each week you will find a set of video lectures posted with a PDF version of lecture notes as well.
You are welcome to take this course if you want to learn and study the numerical analysis methods.
Understand the error analysis and its applications in computational methods.
Solve a system of linear equations using several methods such as Bisection Method, Fixed-Point Iteration Method and Newton's Method.
Use the interpolation and polynomial approximation to develop numerical methods and algorithms.
Use the direct methods for solving linear equations.
The ability to use computer software such as Maple to apply several numerical methods and approximations.
What is the target audience?
This course is intended for anyone who had a little bit of linear algebra background and the desire to learn
If you do not have linear algebra background, Don't worry because I will give a review for linear algebra
CURRICULUM
SECTION 1:
Week 1: Mathematical Preliminaries and Error Analysis
1
Course Introduction
In this lecture, you will be introduced to the description of the "Introduction to Numerical Analysis" Course including course prerequisite, textbook, supplemental material, course objectives, course schedule, course grading, quizzes, course certificates and contact information.
05:47
2
Mathematical Preliminaries
In this lecture, you will be given an introduction to the definition of numerical analysis, types of solution in mathematics, numerical analysis computer software and overview about number systems.
25:45
3
Floating-Point Arithmetic
In this lecture, you will be given an introduction to the floating-point arithmetic (FPA) definition including several examples and their solutions using number systems.
22:10
4
Error Analysis
In this lecture, you will be introduced to several errors in mathematics such as converting error, overflow error, underflow error and round-off error with the examples of the ways of performing termination for these errors.
19:45
5
Problem Set 1
This problem set 1 is a review for the material of week 1 and quiz 1.
I highly recommend you to solve this problem set 1 before attempting to solve QUIZ 1.
GOOD LUCK!
1 page
6
Problem Set 1 Solutions
After you are done with solving the problem set 1, please review your answers with the given solutions in order to learn from your mistakes. Then, please solve QUIZ 1.
GOOD LUCK!
1 page
7
Mathematical Preliminaries and Error Analysis
10 questions
SECTION 2:
Week 2: Solutions of Equations in One Variable
8
Introduction to Maple 11
In this lecture, you will be introduced to some basics of maple 11 such as how to write a mathematical equation or function using maple 11 in order to find the derivative of it, plot it and solve it to find the roots/zeros.
17:20
9
Solutions of Equations in One Variable (Part I)
In this lecture, you will be introduced to several methods used in solving equations in one variable such as bisection method, secant method and false position method. Several examples, proofs, theorems and comparison of each method in terms of advantages and disadvantages will be given in each method.
55:35
10
Solutions of Equations in One Variable (Part II)
In this lecture, you will be also introduced to two other methods used in solving equations in one variable such as newton method and fixed-point iteration method. Several examples, proofs, theorems and comparison of each method in terms of advantages and disadvantages will be given in each method.
43:42
11
Problem Set 2
This problem set 2 is a review for the material of week 2 and quiz 2.
I highly recommend you to solve this problem set 5 before attempting to solve QUIZ 2.
GOOD LUCK!
2 pages
12
Problem Set 2 Solutions
After you are done with solving the problem set 2, please review your answers with the given solutions in order to learn from your mistakes. Then, please solve QUIZ 2.
GOOD LUCK!
2 pages
13
Solutions of Equations in One Variable
10 questions
SECTION 3:
Week 3: Interpolation and Polynomial Approximation
14
Linear Interpolation
In this lecture, you will be introduced to the definition of linear interpolation and its applications. Then, several steps for using linear interpolation and linear interpolation methods will be given in this lecture.
11:02
15
Solving a System of Equations
In this lecture, you will be given an example about the first linear interpolation method which is called "solving a System of Equations".
17:34
16
Lagrange Polynomials
In this lecture, you will be introduced to the second method used in linear interpolation which is called "Lagrange Polynomials", and how to use it to approximate any value not available in the table of data. In addition, you will be introduced to the Lagrange Polynomials Error Formula with examples.
39:10
17
Problem Set 3
This problem set 3 is a review for the material of week 3 and quiz 3.
I highly recommend you to solve this problem set 3 before attempting to solve QUIZ 3.
GOOD LUCK!
1 page
18
Problem Set 3 Solutions
After you are done with solving the problem set 3, please review your answers with the given solutions in order to learn from your mistakes. Then, please solve QUIZ 3.
GOOD LUCK!
1 page
19
Interpolation and Polynomial Approximation
10 questions
SECTION 4:
Week 4: Spline Interpolation
20
Linear Spline Interpolation
In this lecture, you will be introduced to spline interpolation in general and linear splines in particular. Then, you will given an example about linear spline interpolation, and how to use Maple 11 to solve it.
29:00
21
Quadratic Spline Interpolation
In this lecture, you will be introduced to quadratic splines. Then, you will given an example about quadratic spline interpolation, and how to use Maple 11 to solve it.
29:46
22
Cubic Spline Interpolation
In this lecture, you will be introduced to cubic splines. Then, you will given an example about cubic spline interpolation, and how to use Maple 11 to solve it.
18:48
23
Problem Set 4
This problem set 4 is a review for the material of week 4 and quiz 4.
I highly recommend you to solve this problem set 4 before attempting to solve QUIZ 4.
GOOD LUCK!
3 pages
24
Problem Set 4 Solutions
After you are done with solving the problem set 4, please review your answers with the given solutions in order to learn from your mistakes. Then, please solve QUIZ 4.
GOOD LUCK!
4 pages
25
Spline Interpolation
10 questions
SECTION 5:
Week 5: Direct Methods for Solving Linear Equations
26
Gaussian Elimination Method
In this lecture, you will be introduced to gaussian elimination method with a review to linear algebra and how to use this direct method to solve a system nXm of linear equations.
28:54
27
Cramer's Rule
In this lecture, you will be first given a review about the determinant in linear algebra and how to find it. Then, you will be introduced to cramer's rule and how to use it to solve a system nXm of linear equations.
32:42
28
Pivoting Strategies
In this lecture, you will be introduced to pivoting strategies such as gaussian elimination with partial pivoting and how to use this direct method to solve a system nXm of linear equations.
20:48
29
Problem Set 5
This problem set 5 is a review for the material of week 5 and quiz 5.
I highly recommend you to solve this problem set 5 before attempting to solve QUIZ 5.
GOOD LUCK!
3 pages
30
Problem Set 5 Solutions
After you are done with solving the problem set 5, please review your answers with the given solutions in order to learn from your mistakes. Then, please solve QUIZ 5.
REVIEWS
AVERAGE RATING
NUMBER OF RATINGS
Excellent Course
Thanks for offering this amazing course. I really liked this course so much because you made a huge effort in order to offer for us a free online course in numerical analysis, and I learned several topics in numerical analysis such as error analysis, interpolation and how to solve a system of linear equations using numerical techniques as well as I got introduced to how to use the computer software to implement math functions and splines interpolations.
Great Course
This course is excellent for anyone interested in mathematics, statistics, numerical analysis and engineering because it can benefit them to solve complex mathematical, physical and engineering problems. I highly recommend everyone to register this course if you want to learn amazing topics in numerical analysis.
Excellent Course
Thank you Mohammed so much for this nice course. I enjoyed in all discussed topics in this course because they are amazing. In addition, this course gave me a great introduction to numerical analysis because it was well organized and was taught by excellent instructor.
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Great Course
I really enjoyed this course and I found it very helpful for understanding numerical approximation techniques that can be used in several real life applications. In addition, the instructor makes the course topics very interesting because he teaches the course material in an excellent way by explaining first the concept, giving many examples about that concept, and then comparing between this concept and other discussed concepts. | 677.169 | 1 |
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It is not uncommon for elementary school teachers in a mathematics
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The new Odyssey can seat up to seven passengers in comfort, and has a
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In 2001 I decided that my wife and I were going to need a van, because we were
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Secondary menu
Advanced Geometry
This course represents a compilation of topics that serve to provide a mathematical understanding and computational facility that is needed for architecture and design practices. Topics include polynomial functions; factor and remainder theorems; complex roots; exponential, logarithmic and trigonometric functions; and coordinate geometry. Required for Architecture majors. This class introduces the geometry and mathematics that lead to the generation of complex spatial forms. The course will emphasize the quantitative representation of surfaces and other geometrical objects, and will focus on the mathematical understanding of their structure. Topics will include coordinate geometry and vectors, the generation of surfaces through transformations and deformations of two- and three-dimensional objects, topology, and complex curvature. | 677.169 | 1 |
Survey of Mathematics With Applications
9780321112507
ISBN:
0321112504
Edition: 7 Pub Date: 2004 Publisher: Addison-Wesley
Summary: The sixth edition of this best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical ideas as they relate to varied disciplines. This book provides an appreciation of mathematics, highlighting mathematical history, applications of mathematics to the arts and sciences across cultures, and introduces students to the uses of technology in mathematics. Exercise sets are now organ...ized into Concept/Writing, Practice the Skills, Problem Solving, Challenge Problems/Group Activities, Research Activities. An updated Consumer Math section including updated material on sources of credit and mutual funds. Motivational, chapter-opening material demonstrates connections between math and various other disciplines. KEY MARKET For those who require a general overview of mathematics, especially in the fields of elementary education, the social sciences, business, nursing and allied health fields.
Angel, Allen R. is the author of Survey of Mathematics With Applications, published 2004 under ISBN 9780321112507 and 0321112504. Fifty four Survey of Mathematics With Applications textbooks are available for sale on ValoreBooks.com, fifty two used from the cheapest price of $0.93, or buy new starting at $31.34 | 677.169 | 1 |
Second Step to Mathematical Olympiad Problems
Description: The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placementMore...
The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placement on their country's IMO team | 677.169 | 1 |
Quick Review Math Handbook hot words hot topics
9780078601262
ISBN:
0078601266
Pub Date: 2004 Publisher: McGraw-Hill Higher Education
Summary: "Quick Review Math Handbook: Hot Words, Hot Topics" (available in English and Spanish) provides students and parents with a comprehensive reference of important mathematical terms and concepts to help them build their mathematics literacy. This handbook also includes short-instruction and practice of key standards for Middle School and High School success.
Glencoe McGraw-Hill Staff is the author of Quick Rev...iew Math Handbook hot words hot topics, published 2004 under ISBN 9780078601262 and 0078601266. Four hundred thirty three Quick Review Math Handbook hot words hot topics textbooks are available for sale on ValoreBooks.com, three hundred thirty two used from the cheapest price of $0.01, or buy new starting at $14.99 | 677.169 | 1 |
books.google.com - The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the... Integral Equations | 677.169 | 1 |
0073283479 Acceptable condition book WITH ANSWERS WRITTEN IN BOOK! This book has extensive writing and highlighting through out the pages!! All day low prices, buy from us sell to ...us we do it all!!Understand ... communicate ... decide. Elementary Statistics will help you develop the statistical skills and understanding necessary to consider some of today's important questions. Explore questions that are important to you through many real data sets, Margin Essays describing real uses of statistics, and interviews with professionals who need statistics to perform their jobs. Learn to use statistical software, like STATDISK or MINITAB, or use the power of the graphing calculator to solve problems.
Editorial Reviews
Booknews
New edition of an introduction to elementary statistics for students majoring in any field except mathematics. Examples and exercises are from a wide variety of fields. Only high school algebra is prerequisite | 677.169 | 1 |
More About
This Textbook
Overview
Uncover the mysteries that lie within your calculator
This remarkable book explores the simple internal calculator processes—algorithms and programs—that tell us, for example, that the cosine of 56? is 0.5591929035. Using carefully constructed diagrams and figures, the author effectively demonstrates how calculator keys compute powers, roots, logarithms, and trigonometry functions, while also providing insights into simple programming, the conversion between decimal and binary numeration, and perhaps most importantly, the structure of our numeration systems. Many people believe that the processes that drive calculators demand advanced mathematical concepts; however, this book proves that a minimal understanding of algebra and geometry is all that is needed to follow the step-by-step explanations of how scientific calculators work.
Inside Your Calculator: From Simple Programs to Significant Insights is a complete and multifaceted exercise in critical thinking. This book features:
A detailed explanation of how to use a graphics calculator and program basic functions
A discussion of the history of mathematics when appropriate, which provides a foundation for further learning
A thorough review of the fundamentals of programming, algebra, and geometry needed to gain insight into why the algorithms work and how the results are meaningful in our lives
While the simultaneous use of a calculator is not needed to gain insight into how the algorithms work, those who do have a programmable graphics calculator can experiment with the programs presented in the book. These programs may be used on TI-84 and TI-83 calculators, and additional information for other Texas Instruments calculators as well as the Casio FX series is available on the book's related web site.
As a result of over fifty years of award-winning teaching experience in both high school and college classrooms, Dr. Rising anticipates and answers potential questions from readers, and he successfully brings this subject alive in an illuminating and entertaining way. This book is therefore not only ideal for undergraduate mathematics majors as either a primary or supplemental text, but it also appeals to anyone with an interest in mathematics and its ideas.
Related Subjects
Meet the Author
Gerald R. Rising, PhD, is State University of New York Distinguished Teaching Professor Emeritus at the University at Buffalo. He is also the Founder and Co-Director of the University at Buffalo Gifted Math Program. Dr. Rising has authored six professional books, thirteen mathematics texts, and more than 100 articles on mathematics and teaching | 677.169 | 1 |
Lial Series has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors.
This package consists of the textbook plus an access kit for MyMathLab/MyStatLab.
MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online.
Meet the Author
Marge Lial (late) became interested in math at an early age—it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology; trips to various digs and ruin sites produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed.
When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics educationA native Midwesterner, Terry McGinnis received her Bachelor's of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler | 677.169 | 1 |
School Accessories ED-TXTBK-FOSTERSTATS Textbook: StatisticsFostering Statistical Thinking with CASIO Technology is part of the
Fostering Mathematical Thinking with CASIO Technology – featuring
PRIZM book series. This series is a research-based, university-developed
series of books that provides the classroom teacher with meaningful
investigations using the PRIZM.
The intent of this book is to provide a powerful resource for teachers that
will develop their students' ability to depict, to interpret, and to analyze
data. Problems address both descriptive and inferential statistics and come from
a variety of disciplines and contexts.
These resources are supplemental and are intended to support the teacher's
current mathematics curriculum. These books have also been purposefully aligned
with the study of statistics in grades 9-12, as defined by the Common Core State
Standards for Mathematics. | 677.169 | 1 |
Get connected with like-minded individuals in the movement dedicated to innovative thinking and action to improve and advance STEM education. Sign up below for our updates on STEM events in USA and around the globe.
Students are motivated to learn in the context of highly engaging and authentic "real-world" projects that guide instruction, serve to organize meaningful learning, and promote the excitement and joy of learning.
ACTIVE LEARNING
Students actively engage in science and engineering practices and mathematical reasoning to deepen their understanding of core ideas. Students work together to define problems, conduct investigations, make models, use computational thinking, write explanations, and discuss and present findings.
TECHNOLOGY-ENHANCED LEARNING
Our 21st century technology is designed to support a seamless implementation of our curricula. It includes all hands-on equipment needed for the classroom and top-of-the-line electronic books, probes, and mobile devices.
TOTAL SUPPORT
We are committed to providing comprehensive support services for districts implementing our programs. From face-to-face workshops to our ever-expanding Cyber professional-development resources, we can tailor-fit a complete solution to your needs.
Introduction
Interactive Mathematics Program is an integrated high-school mathematics curriculum designed to challenge students with a four-year sequence of college-preparatory mathematics. The curriculum has demonstrated in schools throughout the country that the successful study of advanced mathematics is an achievable standard for ALL students.
Interactive Mathematics Program is an "exemplary" math curriculum. IMP is one of three comprehensive high-school mathematics curricula identified as "Exemplary" by the U.S. Department of Education for providing convincing evidence of its effectiveness in multiple schools with diverse populations.
Interactive Mathematics Program places a strong emphasis on mathematical reasoning.
In IMP, students rely on mathematical reasoning to solve challenging problems, based on real-world situations as well as meaningful scenarios. With an emphasis on critical thinking, students develop multiple strategies to solve problems.
Interactive Mathematics Program is technology-enhanced.
The IMP curriculum incorporates graphing calculators as an integral part of the development of mathematical ideas. The calculators enable students to see mathematics and problem solving in a different way and allow them to focus on ideas. | 677.169 | 1 |
Precalculus: Real Mathematics, Real People - 6th edition
Summary: Ideal for courses that require the use of a graphing calculator, PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 6th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. Retaining the book's emphasis on student support, selected examples include notations directing students to previous sections where they can review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writin...show moreg and design--including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its new subtitle, this significant revision focuses more than ever on showing readers the relevance of mathematics in their lives and futureBuy with Confidence. Excellent Customer Support. We ship from multiple US locations. No CD, DVD or Access Code Included.
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First blog, for this series of blogs on Edexcel Alevel Mathematics. This blog will contain a small introduction to the course and which modules it consists of. This blog shall also contain the first module (C1),(C2).
Thursday, 5 January 2012
C2 - Introduction
C2 is the second module, of the Alevel Maths which is core. It is in my opinion the hardest module of AS, for Edexcel, it is one of the longer modules of the whole course.The topics are :
Trigonometry - Sine and Cosine Rule, Area of Triangle, Radians, Arc length, area of a sector and segment, Sin,Cos and Tan Graphs, Use of Trig. Identities, Solving simple equations.
Integration - Indefinite Integration, Evaluation of definite integrals, Finding area of a region bounded by a curve and line,. Trapezium Rule.
There is alot of new content, and alot which is expanded from the topics learnt in C1. To Achieve a top grade, you should ensure you can apply everything used in C1, these modules are synoptic, and they can ask you a c1 question in c2, or ask a question which relates to c1 content.
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Mathematics Enrichment Program
The Mathematics Enrichment Program (PDF*107KB) has been offered by the University of Southern Queensland since 2007 and is a structured program designed to improve mathematical problem solving skills in gifted high-school students who display aptitude for mathematics beyond what is offered in the standard high school currirculum. Such students could potentially benefit from exposure to more problem solving techniques not traditionally offered.
Program Aims
Encourage further study in mathematics;
Challenge students;
Help students perform at a high level in mathematics competitions.
Who can attend?
The program is aimed to suit the mathematical ability of Year 9 and 10 students.
Please note that the proposed topics for discussion may not necessarily be offered on the date listed.
Presenters
Presenters will include Linda Galligan, Brad Carter and Ron Addie who are staff from the Department of Agricultural, Computational & Environmenta Sciences at USQ; Ashley Plank past member of the Department of Mathematics & Computing who now works as a consultant in statistics for medical research; Tim Dalby from Open Access College at USQ; and Bob Nelder, previous Head of Mathematics at Mt Lofty State High School and past president of TMTA.
We look forward to creating a lively and fun Mathematics Enrichment program.
*This file is in Portable Document Format (PDF) which requires the use of Adobe Acrobat Reader. A free copy of Acrobat Reader may be obtained from Adobe . Users who are unable to access information in PDF should contact [email protected] obtain this information in an alternative format. | 677.169 | 1 |
More About
This Textbook
Overview
New York Algebra 1 is the first of three books in Glencoe's New York High School Mathematics Series. This series offers complete coverage of New York's Mathematics standards, strands, and performance indicators. As students learn to integrate a comprehensive array of tools and strategies, they become proficient in mastering concepts and skills, solving problems, and communicating mathematically.
This series of books helps your students identify and justify mathematical relationships; acquire and demonstrate mathematical reasoning ability when solving problems; use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes; and succeed on the Regents Examin | 677.169 | 1 |
Summary: This best-selling K to 8 math methods text has the most coverage of NCTMs principles and standards, the strongest coverage of middle school mathematics and the highest student approval of any other text on the market.
Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help students develop a real understanding of the mathematics they will teach. John Van de Walle is one of the foremost experts on how children...show more learn mathematics, and 80 percent of students keep his book for reference when they enter the classroom. The text reflects the NCTM Principles and Standards and the benefits of constructivist, or student-centered, mathematics instruction. Moreover, it is structured for maximum flexibility, offering 24 brief, compartmentalized chapters that may be mixed and matched to fit any course or teaching approach.
Features
Four-color design.
Stronger coverage of middle school mathematics topics than any other book on the market.
The most coverage of the 2000 NCTM's Principles and Standards on the market. This text provides a textual discussion (Ch.1), the actual Content and Teaching standards (App. A, B), and references throughout the text, denoted by a (NEW!) NCTM marginal icon.
The numerous activities found in every content chapter are problem-based tasks that engage students in doing mathematics. The activities help make this book a resource as well as a textbook.
Widely admired pedagogy includes Big Ideas, which provide clear and succinct exploration of the most critical concepts in mathematics; Literature Connections that offer strategies for teaching math through specific children's literature; and Assessment Notes that show how assessment is an integral part of instruction.
TECHNOLOGY ADVANTAGE--Technology Notes in every chapter provide a focused discussion of how computer software can help (or hinder!) mathematics teaching.
New To This Edition
NEW! Content Connections feature in the content chapters includes brief descriptions of other content areas in mathematics that are related to the content of the current chapter. These highlight the connections between content topics.
NEW! NCTM icons appear in nearly every chapter and point explicitly to the alignment of this book with the NCTM Principles and Standards through excerpts and commentary.
NEW! "Investigations in Number, Data, and Space and Connected Mathematics" features spotlight two examples of popular reform curricula for the K-5th and 5th-8th grade markets, respectively. These reform curricula excerpts occur in nearly every chapter in Section 2 and include an actual activity and provide a description to acquaint students with these materials, reflecting the spirit of the NCTM Standards and the constructivist theory in the book.
NEW! "Stop and Reflect" features indicate places throughout the book to pause and become truly engaged with an idea.
NEW! Field Guide for Students features reproducible handout masters, grids, questionnaires, activities, and other resources students can use during their field experiences.
REVISED! The inclusion chapter (Ch. 7) has been thoroughly revised and enhanced to include more in-depth coverage of multicultural issues and ethnomathematics, as well as other issues related to special needs.
REVISED! The technology chapter (Ch. 8) has been enhanced to show the most cutting-edge technology for elementary mathematics teaching, including online tools, such as NCTM's e-standards, and available computer programs and electronics.
REVISED! The geometry chapter (Ch. 20) is completely revised to reflect the four goals of the NCTM Standards--Shapes and Properties, Transformations, Location, and Visualization.
1. Teaching Mathematics in the Context of the Reform Movement. 2. Exploring What It Means to Do Mathematics. 3. Developing Understanding in Mathematics. 4. Teaching Through Problem Solving. 5. Building Assessment into Instruction. 6. Planning in the Problem-Based Classroom. 7. Teaching All Children Mathematics. 8. Technology and School Mathematics.3.99 +$3.99 s/h
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Borgasorus Books, Inc. MO Wentzville, MO
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Once Upon A Time Books AR Tontitown, AR
2003 | 677.169 | 1 |
0470108770Designed for the newest version of the popular MATLAB software program, MATLAB: An Introduction with Applications, 3/e requires no previous knowledge of computer programming. The first chapter describes basic features of the program and shows how to use it in simple arithmetic operations with scalars. The next two chapters focus on the topic of arrays (the basis of MATLAB), while the remaining text covers a wide range of other applications. Computer screens, tutorials, samples, and homework questions in math, science, and engineering, provide the student with the practical hands-on experience needed for total proficiency.
Related Subjects
Meet the Author
Amos Gilat, Ph.D., is a Mechanical Engineering Professor at the Ohio State University. Dr. Gilat's research has been supported by the National Science Foundation, NASA, FAA, Department of Energy, Department of Defense, and various | 677.169 | 1 |
Numerical Methods
Numerical Methods for Scientists and Engineers 2nd edition by R. W. Hamming provides detailed guidelines to use worksheet functions to work with matrix to find roots of equations and solve systems of simultaneous equations and solve ordinary differential equations and partial differential equations
For this book, the author has extensively rearranged, rewritten, and enlarged the material. It is unique in its emphasis on the frequency approach and its use in the solution of problems. It also presents the fundamentals of numerical methods with emphasis on the most essential and widely used methods.
Students enhance their programming skills using the MATLAB environment to implement algorithms. The goals of the book's problems are three-fold: to improve the understanding of numerical methods, to provide the opportunity to improve programming skills, and to use MATLAB as a tool for solving realistic problems in engineering and science.
Designed for the newest version of the popular MATLAB, the brevity makes this textbook the perfect introduction to numerical methods or second- or third-year students. Material is appropriate for 2nd and 3rd year students and professionals unfamiliar with Numerical Methods. Realistic applications from engineering and science motivate students.
Text includes many examples and end-of-chapter problems to help students learn numerical methods. Three levels of homework problems address applying numerical methods techniques with traditional pencil and paper and with MATLAB—see end-of-chapter problem sets. Students use MATLAB's built-in functions as tools for problem-solving and become familiar with a variety of numerical methods useful to practicing engineers.
Advanced Strength and Applied Stress Analysis 2nd Edition, by Richard G. Budynas gives broad coverage of the theoretical, experimental, and numerical methods employed in the field of stress analysis. This book is designed to provide a clear transition from the subjects of elementary to advanced mechanics of materials.
Its broad vary of protection allows instructors to easily select many different subjects to be used in one or more courses. The highly readable writing style and mathematical readability of the first edition are continued in this edition. Major revisions on this book include an expanded protection of three-dimensional stress/strain transformations; further matters from the speculation of elasticity; examples and problems which check the mastery of the prerequisite elementary topics.
This text additionally includes new sections on fracture mechanics and structural stability; a totally rewritten chapter on the finite element method; a brand new chapter on finite element modeling strategies employed in follow when utilizing commercial FEM software; and a big enhance in the variety of finish of chapter train problems a few of which are oriented in direction of computer applications.
Advanced Strength and Applied Stress Analysis 2nd Edition is intended for students beginning the study of mechanical engineering design. The focus is on blending fundamental growth of ideas with sensible specification of components. College students of this text should discover that it inherently directs them into familiarity with each the premise for selections and the requirements of business components. For that reason, as student transition to training engineers, they will find that this text is indispensable as a reference text.
The objectives of the text are to cowl the basics of machine design, together with the design course of, engineering mechanics and materials, failure prevention underneath static and variable loading, and traits of the principal varieties of mechanical elements. It additionally provides a practical approach to the subject via a wide range of real-world purposes and examples
This book encourages readers to hyperlink design, evaluation and fundamental ideas with practical component specification. The presentation of fatigue loading of bolted joints now handles general fluctuating stresses, treating repeated loading as a particular case.
A Guide to Writing as an Engineer 3rd edition by David F. Beer and David A. McMurrey shows engineering students how to write, speak and develop the communication abilities essential to success in their tutorial careers and on the job. The authors focus specifically on what an engineer wants on a day-to-day basis, offering an "engineering method" to technical communication that features practical examples and conditions from at this time's industry.
Based mostly on the engineering concept that something that interferes with efficient communication is "noise," the book shows students how one can make their sign-to-noise ratio as excessive as possible. Things like grammar errors, typos, poor group, and fuzzy thinking are handled as noise that needs to be eradicated from the message, so that communication could be as efficient and environment friendly as the engineering concepts it conveys.
With a mixed experience of 30 years instructing and working within the industry, the authors ship a sensible book devoted to the writing concerns of engineers and those planning to enter the profession. Authors address vital writing ideas which apply to professional engineering communication to take care of the content material, group, format, and magnificence of particular sorts of engineering composition corresponding to reviews, enterprise letters, office memoranda, and e-mail.
This text additionally covers oral presentations and tips on how to find engineering info in traditional methods and on the Internet. It introduces the idea of noise in communication reasonably than focusing on errors and poor writing, as in conventional programs, alleviates detrimental emotions students have about the writing and revision process.
There are numerous examples from real engineering writing give attention to the engineering discipline and particular area of focus that the student is studying and will probably be practicing as a professional. The presentation within the ultimate chapter of two totally different Engineering Codes of Ethics (IEEE and ABET) reveals how engineers or student interns can implement these codes on the job if faced with moral decision.
And the rest of the turbine engine material is up to date and presented aside from reciprocating engines, allowing for the pliability of instructing materials individually or together. New material added to the propeller section offers with composite propellers, dynamic propeller blancing, and auxiliary propeller methods reminiscent of auto-feather, de-synchro-phasing, and de-ice.
The up to date and reorganized material on aircraft systems includes the newest information on control, indicating, and warning systems. All through the text, particular emphasis has been launched on the integration of information regarding how particular person components and systems function together. The topic consists of reciprocating and turbine engines plus details and maintenance needs of powerplant equipment corresponding to ignition, fuel, lubrication, exhaust, propeller, and operational needs.
This text also discusses extreme cylinder head temperatures, increase airspeed, enrich the combination, and/or cut back power. Any of these procedures help in reducing the engine temperature. On airplanes equipped with cowl flaps, use the cowl flap positions to regulate the temperature. Cowl flaps are hinged covers that match over the opening through which the hot air is expelled. If the engine temperature is low, the cowl flaps will be closed, thereby proscribing the flow of expelled scorching air and rising engine temperature.
Doubly Fed Induction Machine: Modeling and Control for Wind Energy Generation by Gonzalo Abad gives sensible information to capturing the potential of DFIM technology. These wind turbines have confirmed to be a cheap, efficient, and reliable method for producing power.
Readers curious about DFIM technology can flip to this text to discover not solely the current state of the expertise and future instructions for research and growth, but in addition be taught the tools they should devise their own innovations and solutions.
This text additionally presents clear mathematical descriptions of primary dynamic DFIM models in addition to a detailed steady-state analysis. The authors present a more subtle mannequin of a DFIM that takes into consideration grid disturbances such as voltage dips and stability disruptions.
The second a part of the book surveys DFIM management strategies. Readers will learn about commonplace options used by wind turbine manufacturers, new developments designed to enhance the behavior of excessive-energy wind generators, as well as hardware-primarily based options that address defective grid scenarios. The book concludes with a forecast of the future of DFIMs.
This book is a perfect, practical reference for engineers, researches, and students focused on fully learning the ability era capabilities of DFIM technology. This book helps readers grasp and apply complicated ideas by utilizing numerous aids all through together with diagrams and graphs with step-by-step calculations, illustrations and photographs of DFIM elements and systems.
The management methods studied, range from commonplace solutions used by wind turbine manufacturers, to the last developments oriented to improve the behavior of high power wind generators, as well as management and hardware based options to deal with different faulty situations of the grid. As well as, the standalone DFIM generation system can be additionally analyzed.
Doubly Fed Induction Machine: Modeling and Control for Wind Energy Generation (IEEE Press Series on Power Engineering) [Hardcover]
Pipe Stress Engineering book, by Liang-Chuan Peng emphasizes three main concepts: using engineering common sense to foresee a potential piping stress problem, performing the stress analysis to confirm the problems of design of piping systems for optimizing the design to solve the problem.
This textbook also provides comprehensive analytical method for evaluating the stresses, reactions and deflections in an irregular piping system in space, unlimited as to the character, location or number of concentrated loadings or restraints. Profusely illustrated and meticulously detailed.
All equations have legends and the book's index includes a seven-page nomenclature reference. An engineering degree is not required to understand the overviews, but familiarity with piping components and piping design is necessary to fully understand the material.
Systematically, Pipe Stress Engineering book proceeds from basic piping flexibility analyses, spring hanger selections, and expansion joint applications, to vibration stress evaluations and general dynamic analyses. Emphasis is placed on the interface with connecting equipment such as vessels, tanks, heaters, turbines, pumps and compressors. Chapters dealing with discontinuity stresses, special thermal problems and cross-country pipelines are also included.
The Pipe Stress Engineering book is ideal for piping engineers, piping designers, plant engineers, and mechanical engineers working in the power, petroleum refining, chemical, food processing, and pharmaceutical industries. It will also serve as a reference for engineers working in building and transportation services. It can be used as an advance text for graduate students in these fields.
Pipe Stress Engineering
Vector Mechanics for Engineers: Statics 10th Edition, by Ferdinand Beer, Jr., E. Russell Johnston and David Mazurek gives conceptually correct and thorough coverage along with a significant refreshment of the exercise sets and online delivery of homework problems to your students.
The Beer/Johnston textbooks launched vital pedagogical improvements into engineering mechanics teaching. The consistent, accurate drawback-solving methodology gives your college students the most effective alternative to learn statics and dynamics. On the same time, the cautious presentation of content material, unmatched ranges of accuracy and a spotlight to element have made these texts the standard for excellence.
The Questions are multiple selection issues that require few, if any, calculations are included. College students are encouraged to resolve these issues utilizing the ideas and techniques mentioned in the text and to make use of these rules to assist develop their intuition.
Vector Mechanics for Engineers: Statics 10th Edition permits college students to see essential key drawback types and with the solution laid out on a single page, organized to offer a potent model for pupil problem solving. Sample Issues serve the twin objective of amplifying the text and demonstrating the type of neat and orderly work that college students ought to cultivate in their own solutions.
This book also presents a clear sort-set presentation and group of problem solutions. As well as, Instructors are provided with assignment grids, designed so that instructors can assign different homework problems each semester for up to six semesters. Additionally included is a description of the material lined in every chapter and hints to assist instructors assign acceptable homework problems.
Design Issues are supplied on the end of every chapter. While the issues are generic they're designed to be easily solved using well-liked computational packages like Matlab®, Mathcad®, and Maple™. The computer issues concentrate on symbolic manipulation and plotting quite than programming.
Flame and Combustion 3rd Edition, by John F. Griffiths and John Allan Barnard offers full introduction for postgraduate and undergraduate students to the chemical principles of flame and combustion phenomena.
The examination of combustion phenomena is multi-disciplinary, embracing chemistry, engineering, arithmetic, and physics. A fundamental understanding of how these subjects interact is necessary to underpin any work in this area. This book has been rigorously ready to maintain the strengths of the earlier editions, while updating the understanding and considerations of combustion scientists and engineers.
Flame and Combustion 3rd Edition focuses on the impact of pressure and high inlet velocity of turbulent premixed flames on the adiabatic flame temperature of a methane-Air Flame. Turbulent premixed flames are extensively spread in technical applications and they are used especially in stationary gas turbines for an excessive-environment friendly and low emission power conversion of gaseous fuels. Authors show the variation of adiabatic flame temperature along the combustion chamber as a function of both the strain and inlet movement velocity.
The revision has been thorough, leading to a considerable modification or enlargement of many areas. Both postgraduate and undergraduate students of chemistry, chemical and mechanical engineering, fuel technology and environmental science will discover this book relevant to their research.
This book should be of curiosity to undergraduate/postgraduate chemists; chemical engineers; undergraduate/postgraduate mechanical engineers and environmental scientists; and industrial combustion technologists.
Flame and Combustion. Third Edition [Hardcover]
Photovoltaic Systems Engineering 3rd Edition book, by Roger A. Messenger presents a complete solution manual in engineering foundation for photovoltaic (PV) system design, so engineers can realize the what, why, and the way connected with the electrical, mechanical, economic, and aesthetic elements of PV technique design. The authors discover the significant development and new concepts within the PV market.
This book contains intellectual tools to help engineers and students to understand new systems and tips in exploring these tips making use of updated track record of power production and intake with mathematical history for knowing energy provide and summary of the photo voltaic spectrum, the way to locate the sunlight, and the best way to optimize the seize of its energy.
Photovoltaic Systems Engineering 3rd Edition educates concerning the design of PV systems to ensure that when engineering judgment is needed, the engineer could make intelligent choices according to a clear comprehension with the parameters concerned. This aim differentiates this textbook in the numerous design and installation manuals that prepare the reader how you can make design decisions, but not why. The authors explain why a PV design is executed a particular way, and just how the design approach is basically applied.
The text is complete of further sensible considerations added towards the theoretical qualifications connected with mechanical and structural design. A modified top-down method organizes the material to promptly cover the constructing blocks from the PV technique. Photovoltaic Systems Engineering 3rd Edition focuses on adjusting the parameters of PV systems to optimize efficiency. The final two chapters discuss about the physical basis of PV cell operation and optimization. | 677.169 | 1 |
Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition)
9780321756664
ISBN:
0321756665
Edition: 11 Pub Date: 2012 Publisher: Addison Wesley
Summary: This is the leading textbook for students learning how to teach mathematics to elementary school students, focusing on problem solving. It remains current with its discussion of standards in teaching today and it teaches students the value of professional development for their future careers. It encourages active learning and provides many exercises, study tools and opportunities for active learning. Students will ga...in valuable insight into how they can apply their mathematics and teaching knowledge in the classroom. We offer many high quality discounted mathematics textbooks to buy or rent by semester.
Rick Billstein is the author of Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition), published 2012 under ISBN 9780321756664 and 0321756665. Six hundred twenty one Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition) textbooks are available for sale on ValoreBooks.com, two hundred four used from the cheapest price of $77.62, or buy new starting at $166.45 text book (same content, just cheaper!!). May not contain access card/supplementary materials. Second day shipping available, ships same 2nd day shipping available, ships same or next business day. Get bombed!!This is the U.S. stud [more]
ALTERNATE EDITION: This is a loose-leaf edition text book (same content, just cheaper!!). 2nd day shipping available, ships same or next business day. Get bombed!!edited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less] | 677.169 | 1 |
Geometry Formulas and Facts
- An excerpt from the 30th Edition of the CRC Standard Mathematical Tables and Formulas, covering the area of Geometry (minus differential geometry), by Silvio Levy.
Glossary of Math Terms
- Explains commonly used words specialized to this field. Includes examples and some graph illustrations.
K-12 math textbook content analysis
- Spreadsheets on the distribution of 1000 common math terms as used in K-12th grade mathematics textbooks over the last 30 years. Analysis in English, Spanish and French.
Math formulas
- A large , free online lists of mathematics formulas. Collection of all basic and advanced formulas related to mathematics.
Mathematics Resources
- Offers a large number of links to mathematical resources, dedicated to various topics.
Mighty Number: A Search Engine for Numbers
- Mighty Number contains information about every integer. Information includes relevance of number, mathematical information such as square root, and decoding of telephone numbers.
NIST Digital Library of Mathematical Functions
- Result of a project to provide a modern revision of Abramowitz and Stegun's "Handbook of Mathematical Functions". The site includes definitions, properties, and graphs of many special functions.
Numerical Prefixes
- Tables for Greek and Latin number values alone and as a part of other words. | 677.169 | 1 |
Reference numbers for each problem so students and parents can see where a problem was first introduced
A digital gradebook that can manage multiple student accounts and be easily edited by a parent
Built in back up and gradebook transfer feature
Compatible with PC (Windows XP or later) and Mac (OS 10.4 or later)
Students watch video lectures on CD-ROM, do problems from the 654-page workbook. When they need help or review, you've got a printed Answer Key plus audiovisual step-by-step solutions to every homework and quiz problem.
Sample Pages
Sample Lectures
TheLecture & Practice CD'scontain 10-15 minute lectures for every lesson in the print textbook. They also feature multimedia step-by-step explanations to the 5 practice problems that accompany each lesson. This set of CDs is ideal for students who prefer listening and watching to reading.
Sample Solutions
TheSolution CD's contain a multimedia step-by-step explanation to every single one of the almost 3,000 homework problems in the textbook. If you're tired of having to help your child do half his homework, or if you simply want to give him access to a library of quality explanations which will undoubtedly supplement and reinforce his understanding, this is the tool you need. | 677.169 | 1 |
Beginning Algebra
9780321784919
ISBN:
032178491X
Edition: 6th Revise Pub Date: 2011 Publisher: Pearson Education
Summary: Written by Elayn Martin-Gay, Beginning Algebra was released in 2011 in this 6th revised format. Complete with plenty of new material compared to earlier versions, you can find out more about getting to grips with algebra and learning how to start in the right way. Published by Pearson Education, this text book is available at the cheapest prices. Buy Beginning Algebra online now and take advantage of the lowest price...s on previously owned text books. Sell back your copy now if you already own it and make the most of a good deal. Try Valore Books for Beginning Algebra deals now.
Martin-Gay, Elayn is the author of Beginning Algebra, published 2011 under ISBN 9780321784919 and 032178491X. Seven hundred ten Beginning Algebra textbooks are available for sale on ValoreBooks.com, two hundred thirty seven used from the cheapest price of $56.91, or buy new starting at $125 shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less] | 677.169 | 1 |
Math
The website presents math as knots, logic, infinity, and imaginary shapes, not just numbers, and for teachers the materials have been made with the assumption that there is little or no experience with the mathematical topics they cover. The project is designed to be approached as a discovery for both student and teacher and offers extensive online help. In addition, teachers can receive the accompanying workbook for free!
This comprehensive directory of links to statistical data sources covers topics from agriculture to education to health to transportation. The site offers some fairly expensive courses on statistical methods, but the use of the site's other resources is free and worth the visit. Users will find free software, discussion groups, booklists for online and print materials, a host of links to interactive statistical calculation pages, and a homework discussion for getting help with statistics problems.
is a great resource for students and teachers alike. Students will find help with homework and study tips, practice lessons that include in-depth explanations and quizzes, interactive games and a host of calculators and tools. Teachers can use this site to supplement the math curriculum and to provide extra practice for their students. Included for teachers are classroom resources, an algebra work sheet generator, and interactive applets that generate printable graphs. Additionally, the site provides a glossary of math terms and experts can answer your math questions. Includes a Shortcut to World of Math's Online Math Reference Tables.
This site is a useful and user-friendly tool for performing statistical computation. It is based at Vassar, and includes various utilities and statistical procedures, including an online and sometimes interactive statistical textbook. | 677.169 | 1 |
To explore and observe the recursive nature and iterative tendencies of Newton's Method through numerical and graphical processes in order to determine zeroes of various functions. Through this process, the students will create recursive formulas that will enable an easier method for getting infinitely close to the actual value of any zeroes on a given curve. Also, drawbacks of Newton's Method will be explored and discussed.
Hooked on Conics!
Peter Kaczmar and Lars Nordfelt
Hooked on Conics! is an activity to help precalculus students discover conic sections and their properties. Most of the activity uses files that require the software application The Geometer's Sketchpad®. Usually students would work as pairs (2 students to each computer) and enter their responses on the computer. Students will investigate the geometric definitions, the rectangular and polar equations, and the effect of parameter changes on the graphs. They will study the ratio (the eccentricity) of distance from any given point to a focus to the distance from the given point to the corresponding directrix and will then be able to define all conics in terms of this ratio.
An introduction to periodic functions using a monochord
James Stallworth and Susan Antonsen
Using common household materials, students will construct a monochord, a one-stringed instrument, which they will then use to investigate the relationship between string length and musical octaves. We will include a video demonstrating the construction of the monochord along with step by step instructions. After the construction and initial exploration, they will discover the relationship between ratios of string length to the notes on Pythagoras' and Ptolemy's musical scales. The students will then use their musical instrument and the calculator based laboratory to see what the sounds look like in terms of period, amplitude, and frequency.
Students explore a recursive SIR model that is based on the differential equations model developed in 1927 by W.O. Kermack (public health physician), and A.G. McKendrick (biochemist) for predicting the behavior of various epidemic diseases. Students engage in several activities that use the SIR model including a spreadsheet simulation. At the conclusion of the activities students are able to determine the smallest percentage of the population that should be immunized in order to prevent the spread of a disease | 677.169 | 1 |
Product Details:
GIK1078: Pythagoras would be proud! The theorems and principles of basic geometry are clearly presented in these workbooks, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact.
Features
"The theories and principles of basic geometry
All concepts are explained in an easy-to-understand fashion
Beginning geometry workbook
Each page introduces a new concept, along with a puzzle or riddle"
Students grasp geometry and form a solid foundation for advanced learning in mathematic | 677.169 | 1 |
Math & Pre-Algebra Workbook For Dummies (Paperback) topic......more topics that probably inspired fear before will seem simple when you realize that you can solve math problems, from basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here!
Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You'll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to:
Complete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra WorkbookFor Dummies will demystify math and help you start solving problems in no time!
Mark Zegarelli is a math tutor and writer, as well as the author of Logic For Dummies. He holds degrees in math and English from Rutgers University.
For anyone who is looking to improve their math skills this product is the one to use. The intructions and methods used to solve the problems are simple and easy to understand. I have only one drawback of this product and that is there is not enough practice problems | 677.169 | 1 |
Pre Algebra- The purpose of this course is to assist students in making the jump from basic mathematics to algebra. We will spend the first third of the year sharpening skills such as ... Algebra I-Saxon's newest edition of Algebra I, the 4th edition ... Algebra II-Saxon's Algebra2 is the ...
With the addition of a third math teacher, class size for math has been reduced in the third grade Saxon ... 4-8 are in an accelerated math program and successfully complete Algebra by ... of TerraNova was used in 2006-2008. The ThirdEdition/2008 of TerraNova was used in ...
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Unit 5: Algebra, Integers and Graphing 57. Unit 6: Growth and Patterns 72. Unit 7: ... As in the first edition, the Louisiana Comprehensive Curriculum, ... The third grid would represent $6.75 or ½ of the $13.50.
... the German edition dates from 1919. ... (2)The Third Temple (3)The First Jewish War (4)Destruction of the Temple (5)The second Diaspora (6)Rabbinic Judaism. C.Societal and Family Relationships. 1.Women's status in earlier times.
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... 2:35. Pre-Algebra. I use the teacher's edition of their textbook. ... Lesson 10 in the Saxon's Algebra 1/2 is divisibility. ... this will be the third time that this situation has occurred. I am truly amazed. Who dresses you in the morning? You won't hire people who want to work here.
Algebra (including representations and relationships) ... the other third of the blocks allow the use of a calculator. ... Saxon Publishing, Inc. Norman, Oklahoma. Norman Webb. Senior Research Scientist.
Glencoe-McCraw Hill Course 3 2012 Edition. Pre-Algebra with Pizazz Worksheets . ... Teachers Helper Saxon Math 7/6. ... and the third pays interest compounded quarterly. Use a spreadsheet to find the amount of money in each account after one year, two years, three years, ten years, and twenty years.
Third Grade. Mrs. Buchanan's ... In Mrs. Burns' English 3 Honors students have concluded their study of the Anglo-Saxon period this month, ... Mrs. Maresca's Honors Algebra2 class analyzed the difference between experimental and theoretical probability by dropping a folded index card and ...
... along with the Director of Curriculum based on Saxon Math that includes Pre-Algebra, Algebra I and II, Geometry, ... This will not happened until the third year the school is operation. ... Editors, ThirdEdition. Cultural Proficiency: A Manual for School Leaders, (CA: Crowin 2009), 2.
The information in this edition of the handbook was cross-referenced with the board manual in April 2010. ... BP 1312.2 PUBLIC COMPLAINTS CONCERNING INSTRUCTIONAL MATERIALS. ... A third offense in a school year by a student who trades, ...
... one-third of all Native-Americans lived on a reservation and the other two ... In all probability he or she was of Anglo-Saxon background and Protestant. However, after the Civil War, immigrants ... Many of our English words have been borrowed from the Arabs such as algebra, alcohol ...
... to follow the progress of pre-kindergarten through third grade students. ... the school administered the CTB/McGraw-Hill TerraNova CAT 2nd Edition Assessment to its Kindergarten, First Grade, ... Currently Leadership Prep Brownsville uses the Saxon Math program.
... Second Edition It was the best of times, it was the worst of times, ... high school students studied rigorous courses in algebra, geometry and physics. ... I CAN Learn® Mathematics Curriculum, and Saxon Math. The WWC identified 66 other studies that included evaluations of 15 additional ...
... about the legal systems and their construction as well as the basic characteristics of the continental and Anglo-Saxon ... Demography: The Study of Human Population, ThirdEdition, David ... EM1 Students know mathematical concepts and tools of linear algebra and calculus, in ... | 677.169 | 1 |
ractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
This text explains the theory underlying the properties of the generalized operator and its many applications. Topics include integer order, ...Show synopsisThis text explains the theory underlying the properties of the generalized operator and its many applications. Topics include integer order, functions, semiderivatives and semi-integrals, and applications in calculus and diffusion problems. 1974 edition.Hide synopsis | 677.169 | 1 |
Navigation
Home - 8th Grade Math
This sight is designed to help students and parents understand my classroom expectations, quickly see what homework is due, check dates for upcoming quizzes/tests, and provide resources for online math help.
This school year there are three core standards for eighth grade mathematics:
Algebra: Linear Equations
Geometry & Measurement: Lines and Angles
Data Analysis: Analyze and Summarize Data Sets
Each of these core standards has its own textbook. Teachers have classroom sets. Books are also available for overnight checkout in the library. Each book may also be accessed online. Passwords for using online books will be sent home with students. Please feel free to call or email if you do not have the password. I encourage students and parents to use this convenient recourse for homework help, reviewing for quizzes and tests, and printing homework if a student is absent. | 677.169 | 1 |
Exploring mathematics by L. Carey Bolster(
Book
) 25
editions published
between
1991
and
1996
in
English
and held by
312 WorldCat member
libraries
worldwide
Invitation to mathematics by Foresman and Company Scott(
Book
) 22
editions published
between
1985
and
1988
in
English
and held by
199 WorldCat member
libraries
worldwide
A set of 9 textbooks intended for elementary school use
Mathematics around us : skills and applications by Richard A Lesh(
Book
) 18
editions published
between
1975
and
1985
in
English
and held by
169 WorldCat member
libraries
worldwide
The materials also require pupils to tell time to the quarter hour, count money, unravel codes, and the interpret pictographs. The teacher's gude includes full color reproductions of pages from the pupil's book, stated objectives, assignements and lists of additional activities for each lesson. The specified instructional level includes grade 2. This material comprises levels 7 through 12 of the 48 - level "Mathematics Around Us: Skills and Applications" series. Component materials may be purchasd separately. Supplementary workbooks, duplicating masters, tests and record cards may also be purchased separately. JAG, 4-76
Pre-algebra by Clyde L Corcoran(
Book
) 5
editions published
in
1987
in
English
and held by
87 WorldCat member
libraries
worldwide
Scott, Foresman mathematics by William H Nibbelink(
Book
) 6
editions published
in
1983
in
English
and held by
75 WorldCat member
libraries
worldwide
A mathematics textbook for eighth grade
Invitation to mathematics [grade 6] by L. Carey Bolster(
Book
) 7
editions published
between
1985
and
1988
in
English
and held by
31 WorldCat member
libraries
worldwide
Covers addition, subtraction, multiplication and division of whole numbers, decimals, fraction
Exploring mathematics by L. Carey Bolster(
Book
) 10
editions published
between
1991
and
1996
in
English
and held by
30 WorldCat member
libraries
worldwide
Mathematics around us: skills and applications/grade 8 by L. Carey Bolster(
Book
) 6
editions published
between
1975
and
1978
in
English
and held by
28 WorldCat member
libraries
worldwide
Mathematics Around Us: Skills and Applications/Grade 8 is part of a series designed to teach basic skills and concepts of 17 content strands through repeated experiences with concrete objects and everyday illustrated story problems. In this text, pupils are asked to work with negative exponents, find square root, measure the volume of pyramids and cones, read and understand scientific notations, write equations involving more than 1 operation, and use Venn diagrams
Invitation to mathematics [grade 2] by Foresman and Company Scott(
Book
) 12
editions published
between
1985
and
1987
in
English
and held by
27 WorldCat member
libraries
worldwide
Invitation to mathematics by Foresman and Company Scott(
Book
) 9
editions published
between
1985
and
1987
in
English
and held by
25 WorldCat member
libraries
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This applet is a web based lab that explores the properties of exponential functions and ways to define the number e. It is...
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This applet is a web based lab that explores the properties of exponential functions and ways to define the number e. It is one in a series of other precalculus labs by the same author. The directions for using Graph Explorer are contained in the Cartesian Coordinates applet.
The Probability/Statistics Object Library is a virtual library of objects for use by teachers and students of probability and...
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The Probability/Statistics Object Library is a virtual library of objects for use by teachers and students of probability and statistics. The library contains objects of two basic types, applets and components.An applet is a small, self-contained program that runs in a web page. Applets are intended to illustrate concepts and techniques in an interactive, dynamic way. A teacher or student can download an applet, drop it in a web page, and then add other elements of her own choice (such as expository text, data sets, and graphics). The applets in the library contain essentially no mathematical theory and thus can be used by students at various levels. The applets are intended to be small "micro worlds" where students can run virtual versions of random experiments and play virtual versions of statistical games.Components are the building blocks of applets and of other components. The Java objects are of three basic types: virtual versions of physical objects, such as coins, dice, cards, and sampling objects; virtual versions of mathematical objects, such as probability distributions, data structures, and random variables; user-interface objects such as custom graphs and tables. The Java objects can be used by teachers and students with some programming experience to create custom applets or components without having to program every detail from scratch, and thus in a fraction of the usual time. In addition, the components are extensively documented through a formal object model that specifies how the components relate to each other.Each object can be downloaded as a Java "bean" that includes all class and resource files needed for the object. An object in the form of a Java bean can be dropped into a builder tool (such as JBuilder or Visual Cafe) to expose the properties and methods of the object. Each object can also be downloaded in the form of a zip file that includes the source files and resource files for the object.
This applet is a web based lab that explores the properties of quadratic functions. It is one in a series of other...
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This applet is a web based lab that explores the properties of quadratic functions. It is one in a series of other precalculus labs by the same author. The directions for using Graph Explorer are contained in the Cartesian Coordinates applet.
This applet is a web based lab that explores the properties of cartesian coordinates. It is one in a series of other...
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This applet is a web based lab that explores the properties of cartesian coordinates. It is one in a series of other precalculus labs by the same author. The directions for using Graph Explorer are contained in the Cartesian Coordinates applet.We chose to develop this applet first since it covers an aspect of the course that is based on relatively simple mathematics,...
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We chose to develop this applet first since it covers an aspect of the course that is based on relatively simple mathematics, but which students seem to find very confusing. At this point in the course, students have learned the basic aspects of quantum mechanics, namely, that the energy associated with the motions of molecules can not be assigned arbitrarily but must take on specific values. | 677.169 | 1 |
Intermediate Algebra for College Students -With CD - 7th edition
Summary: This dynamic new edition of this proven series adds cutting edge print and media resources. An emphasis on the practical applications of algebra motivates learners and encourages them to see algebra as an important part of their daily lives. The reader-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. KEY TOPICS Chapter topics cover basic concepts;...show more equations and inequalities; graphs and functions; systems of equations and inequalities; polynomials and polynomial functions; rational expressions and equations; roots, radicals, and complex numbers; quadratic functions; exponential and logarithmic functions; conic sections; and sequences, series and the binomial theorem. For the study of Algebra. ...show less
Book has a small amount of wear visible on the binding, cover, pages.Selection as wide as the Mississippi.
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0132383578 WE HAVE NUMEROUS COPIES, -HARDCOVER, mild wear to cover/edges/corners, pages have little to no use, school markings on book and inside | 677.169 | 1 |
UMCP Developmental Math Program
What is the Developmental Math Program? Each student
graduating from UMCP, unless exempted, must have passed the
Fundamental Studies Mathematics requirement. In order to
determine the student's mathematical preparation for taking one of
the courses satisfying this requirement,
or a math course satisfying a major requirement,
all entering students must take the Mathematics Placement
Test (except for students entering with college level
calculus credits, either through AP or another college). Using
the results of this test the student is placed into one of the
Mathematics Department's courses. Students who do not place into
the desired
credit bearing courses (Math 110, 113, 111, 115 or higher)
must take the developmental math course Math 003 or a combined
developmental-fundamental course as described below.
What is Math 003?
Math 003 covers high school algebra I and II.
A student receives no academic
credit for Math 003 but will
receive three "institutional" credits that count toward full time status at
the university and for use in qualifying for scholarships and
loans. A student
must pay a special fee to take Math 003.
How are students placed?
Placement is based on a student's score on
the Mathematics
Placement Test. The "upper half" of the students who place into the
Developmental Math Program will be invited to take a one semester
course which will combine the appropriate Developmental Algebra course
with a credit bearing course that will satisfy the Fundamental
Studies Math requirement. The "lower half" of these students will be
enrolled into Math 003 which will be taught
using a self-paced computer program. (The actual determination of
what is meant by "upper half" and "lower half" depends on the level
of sophistication of the course for which the student is preparing.)
How do the combined courses work?
The courses Math 010, 013 and 015 are combined
developmental/fundamental
courses for Math 110, Math 113, and Math 115 (respectively).
The purpose of the combined
courses is to give a student the opportunity to get
through both the developmental prerequisite and the
credit-bearing course itself
in a single semester.
For example, suppose a student
arrives at UMCP and wants to take Math 110 but qualifies only for the
combined version of Math 110, and elects to take this course. The
course will meet for 5 hours a week. The initial 5 weeks will be spent
reviewing and teaching the algebra skills necessary to succeed in Math
110. The student will officially be enrolled in Math 010 during this
time. At the end of the five week period, the student will retake the
Placement Test. If this time around the student qualifies for Math 110
(as the great majority should) then she/he will continue in the
class and the regular curriculum in Math 110 will be covered
over the remainder of the semester. The
student's registration will automatically change from Math 010 to Math
110.
On the other hand, if after retaking the Placement Test the
student still does not qualify for Math 110, then that student must go
to the computer based developmental math course Math 003 for further work on
the basic algebra skills. The student who qualifies into Math 110
after five weeks and is successful in completing Math 110 will receive
3 credits and a grade just as if she/he had started the semester in
Math 110. And the student will have finished in
one semester instead of the two required to take Math 003 followed by
Math 110. The special developmental math fee charged to
students taking Math 003 will also be charged to students taking
one of the combined courses.
How are prerequisites met in Math 003?
Each student enrolled in this course will work individually,
using a self-paced computer course. Students will be in sections
that meet 6 hours per week in dedicated computer labs. Each
section will be under the close supervision of an instructor who will
place the students at the appropriate level in the program, help the
students with questions on their work, present tutorials and
mini-lectures on difficult points, administer homework, quizzes and
exams, and certify the students' success or failure during and at the
end of the course. There will always be someone in the room to assist
the students. All students, regardless of their level of algebra
skills, will be in the same section of Math 003. They will be working
in different parts of the computer program depending on their skills
and goals. There will be five distinct modules, subsets of the
program, that the students will be working on. Completing one of these
will be necessary for passing Math 003. The modules will be
preparation for taking Math 110, 111, 113, or 115 and the additional
module will be for the students who need pre-algebra preparation (LAS
module). Progression from Math 003 to credit bearing courses will be
as follows:
Complete
successfully
May enroll in the following
semester
LAS Module
Math 003, 010 Module
110 Module
Math 110
111 Module
Math 110, 113, 111, Stat 100
113 Module
Math 110, 113
115 Module
Math 110, 113,111, Stat 100, 115
There has been extensive
experimentation with the computer program we use, and it has been
successful in preparing students who conscientiously stick with
it. In addition to the students being able to
place into other courses as indicated above by passing one of the
modules, the students will also be given the Math Placement
Test again at the end of the term. The students' score on that
test at that time will be allowed to override the placement determined
by the modules.
The course Math 003 was developed to replace
two previous courses, Math 001 and 002 (corresponding to high
school algebra I and II).
Because students may begin Math 003 at different mathematical levels,
a student is allowed to pass Math 003 twice for
institutional credit.
What changed in the developmental math program?
Before Fall 2001, there were two courses (Math 001 and 002) instead
of Math 003, and these courses were taught in a standard classroom
environment. Math 003 uses the self-paced computer program to
meet needs more individually, promote student involvement, and
allow accelerated progress through developmental mathematics.
Also before Fall 2001, there was no combined course alternative;
for example, a student needing Math 113 for calculus but not placing
into Math 113 would be forced to spend a semester on developmental
math before spending a semester on Math 113. | 677.169 | 1 |
Educational Use
Browse Materials (293)
This is a comprehensive Personal Finance text which includes a wide range ...
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This is a comprehensive Personal Finance text which includes a wide range of pedagogical aids to keep students engaged and instructors on track. This book is arranged by learning objectives. The headings, summaries, reviews, and problems all link together via the learning objectives. This helps instructors to teach what they want, and to assign the problems that correspond to the learning objectives covered in class.Personal Finance includes personal finance planning problems with links to solutions, and personal application exercises, with links to their associated worksheet(s) or spreadsheet(s). In addition, the text boasts a large number of links to videos, podcasts, experts' tips or blogs, and magazine articles to illustrate the practical applications for concepts covered in the text.
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In this course, you will cover some of the most basic math applications, like decimals, percents, and even fractions. You will not only learn the theory behind these topics, but also how to apply these concepts to your life. You will learn some basic mathematical properties, such as the reflexive property, associative property, and others. The best part is that you most likely already know them, even if you did not know the proper mathematical terminology.
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An introduction to mathematical topics not included in the standard coursework, delivered ...
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An introduction to mathematical topics not included in the standard coursework, delivered by topics and projects chosen by the student. The objective of this course is to study the basic theory and methods in the toolbox of the core of applied mathematics, with a central scheme that addresses "Ů_Ęinformation processing__" and with an emphasis on manipulation of digital image data This course was recently revised to meet the MIT Undergraduate Communication Requirement (CR). It covers the same content as 18.310, but assignments are structured with an additional focus on writing.
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These resources are a selection of audio and video podcasts from a ...
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These resources are a selection of audio and video podcasts from a first year Dynamics class MAM1044H at the University of Cape Town. The lectures cover a wide range of topics. Systematic introduction to the elements of mechanics kinematics in three dimensions Newtons laws of motion models of forces friction elastic springs fluid resistance Conservation of energy and momentum Simple systems of particles including brief introduction to rigid systems Orbital Mechanics with applications to the planning of space missions to the outer planets
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" This course is about mathematical analysis of continuum models of various ...
(more)
" This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally described by partial differential equations (PDE) and for this reason much of the course is devoted to the analysis of PDE. Examples of applications come from physics, chemistry, biology, complex systems: traffic flows, shock waves, hydraulic jumps, bio-fluid flows, chemical reactions, diffusion, heat transfer, population dynamics, and pattern formation." agriculture ...
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This task was developed by high school and postsecondary mathematics and agriculture health ...
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This task was developed by high school and postsecondary mathematics and health | 677.169 | 1 |
Easy Mathematics Step-by-Step
Overview
Take it step-by-step for math success!
The quickest route to learning a subject is through a solid grounding in the basics. So what you won't find in Easy Mathematics Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques.
This book features:
*Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties
*Stay-in-step panels show how to cope with variations to the core steps
*Step-it-up exercises link practice to the core steps already presented
*Missteps and stumbles highlight common errors to avoid
You can master math as long as you take it Step-by-Step!
Author Information
SANDRA LUNA MCCUNEis a former Regents Professor and math specialist in the Department of Elementary Education at Stephen F. Austin State University, where she received the Distinguished Professor Award. She now is a full-time author and consultant and resides in Austin, Texas. | 677.169 | 1 |
A diagnostic test with explained answers to help students identify their strengths and weaknesses Advice on using a graphing calculator A detailed review of all test topics, including polynomial, trigonometric, exponential, logarithmic, and rational functions; coordinate and three-dimensional geometry; numbers and operations; and much more
Now fully adapted to reflect Canadian drug information, measurement, legislation, and standards, Henke's Med Math, First Canadian Edition is an excellent choice for giving students an in-depth understanding of dosage calculation and principles of drug administration. It presents step-by-step approaches to solving problems and includes dosage problems that simulate actual clinical experience. Each chapter includes numerous examples, self-tests, and proficiency tests. Multiple dosage calculation methodologiesŚformula, ratio, proportion, and dimensional analysisŚare taught, allowing students to adopt their preferred method. In addition, calculations are included for intravenous pediatric, PCA, and critical care medicationsAC circuit analysis gives many students problems, but in reality any student can fully understand how to analyze circuits that involve Alternating Current.
In this course, the student will first begin by understanding what Alternating Current is and why it is important. Next, we'll review essential math concepts such as complex numbers and sinusoidal functions. Next, we will introduce the important topic of the Phasor, which will be the primary tool that we will use to solve AC circuits with sinusoidal sources.
Finally, we will learn about impedance and how to solve AC circuits using phasors that involve kirchhoff's laws, series/parallel combinations, and more. Every topic is taught with step-by-step solved example problems. | 677.169 | 1 |
Introduction to Mathematical Thinking
Book Description: In the twenty-first century, everyone can benefit from being able to think mathematically. This is not the same as "doing math." The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned. Mathematicians, scientists, and engineers need to "do math," and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book. The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the "mathematical thinking" characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a "transition course." This book could serve as a textbook or a supplementary source for such a course. Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable. Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as "the Math Guy" on Weekend Edition with Scott Simon. He writes a popular monthly blog "Devlin's Angle" for the Mathematical Association of America, another blog under the name "profkeithdevlin", and also blogs on various topics for the Huffington Post | 677.169 | 1 |
PAPERBACK Good 0766802302 Student Edition. No CD Included. Moderate dirt wear, wrinkling or creasing on cover or spine. Good binding. Moderate writing and highlighting. Cover has ...used book stickers or residue. Marker on cover or bottom edge of book.Read moreShow Less
Ships from: Wentzville, MO innovative and highly unique approach responds to the current reform movement in mathematics and the need for effective solutions in the workplace. The many practical applications of math concepts are illustrated throughout each chapter. Through active participation in chapter projects, activities, labs and the use of the graphing calculator, the student learns how to intuitively and methodically develop an effective solution. Graphing calculators are introduced as tools to solve problems, explore quantitative relationships, and extend the students' understanding of math concepts. The classroom presentation of this material features a CD-ROM that provides simulations, data analysis techniques, graphical solutions and videos to further enhance delivery of this new and exciting approach to college mathematics. ALSO AVAILABLE Preliminary Volume II, ISBN: 0-7668-0208-6 Workbook, ISBN: 0-8273-8070-4 Presentation Software, ISBN: 0-8273-8465-3 INSTRUCTOR SUPPLEMENTS CALL CUSTOMER SUPPORT TO ORDER Diagnostic Software, ISBN: 0-8273-8486-6 Computerized Testbank, ISBN: 0-7668-0229-9 Solutions Manual, ISBN: 0-7668-0224-8 Instructor's Resource Guide, ISBN: 0-7668-0157-8
Related Subjects
Meet the Author
John C. Peterson is a retired Professor of Mathematics at Chattanooga State Technical Community College. He was a Vice President of the American Mathematical Association for Two-Year Colleges (AMATYC). He was also co-Project Director of the AMATYC project on Mathematics for the Emerging Technologies funded by the National Science Foundation and author of the project report: A Vision: Mathematics for the Emerging Technologies | 677.169 | 1 |
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra | 677.169 | 1 |
Calculus problems solved!
by
Help with calc
If you are a college student or high school student and if you are taking a Math class, this is the app that you need! Not only does it give you the answer to any problem you compute into the program, it also gives you the step by step process on how to get that answer. It shows you the math and also tells you why each step is done. It is like having a personal tutor in your room helping you out on the problem. It has made calculus so much easier to understand and finish my homework without stress of what I just learned. If you hate getting stuck on your homework not knowing why you can't get the right answer or you don't know what the next step is, this will be so helpful for you. I promise you that the 3 dollars is well worth it, that you for sure will get your money's worth and then some. So if you are having problems with calculus or any math for that matter, this will be your dearest friend to put into your app library. Plus not only does it do math but it can answer a lot of other fact based questions as well. It's like google for facts. This App seems like it came from the future because it's just mind blowing! What are you waiting for? Your math homework awaits!
Exceptional tool
by
Pale Glint
While I haven't used any other functionality, its math-related abilities are incredible.
As an early-level engineering student, the math I'm typically dealing with can be difficult to calculate, and in some cases, I'm unable to check my answer to fully make sure I'm understanding it. Wolfram Alpha helps me make sure I know that I got the correct answer.
While its Boolean algebra abilities can be limited, it's amazing at differentiation and integration. By extension, it's been an incredible tool when using Laplace Transformation, as well as it's inverse operation, even in plain-text input
It's plain-text abilities supersede any other math tool, and I can honestly say I use this app (and it's website) far more often than the program the school pays for. The additional keyboard with special symbols for math (such as an integral key and a square root key) are only bonuses.
If you haven't used this app or this website, I definitely recommend it, even for its limitless non-math abilities.
Almost
by
Conrad Lovejoy
I haven't had a chance to browse through a significant portion of this app, but I was very interested when I noticed an engineering section, specifically a civil engineering section. Much to my disappointment there isn't much to it and the section regarding beam deflection consists of some pretty silly nonsense. WA needs some help in that section, especially if they are going to make me pay for an app that tells me the information that I input, which came straight from the AISC Manual (bible), is invalid. I'll have to look through the rest but it was disappointing to say the least. There are too many errors to even say that it's close so WA's best course of action might be to consult a structural engineer. You can borrow my AISC Manual at least if you'd like...try again, please. | 677.169 | 1 |
Quadratic
By William Beastall
Description
Quadratic helps students learning how to solve quadratic equations for GCSE Maths exams, or equivalent. The 'plus': Quadratic retains rational numbers and surds (such as √5) in the solution whenever possible, unlike other software which just gives the numerical solution. Automatic generation of suitable quadratic equations to solve, or tap in your equation using the special keyboard. An interactive graph is built in and three other solution methods are available with the in app upgrade: solution by 'completing the square', finding factors or using the standard quadratic formula. Print the results or share them by email or message.
What's New in Version 2.1
Updated for ios7. New: advanced mode solves simultaneous quadratic/linear equations. Free access to graphical solutions, upgrade for a small fee to use all the solution methods: completing the square, factors and the quadratic formula. | 677.169 | 1 |
Beginning Algebra, CourseSmart eTextbook, 6th Edition
Description
Now with offline access functionality, CourseSmart offers instructors and students the freedom and convenience of online, offline, and mobile access using a single platform. CourseSmart eTextbooks do not include media or supplements that are packaged with the bound textbook.
Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources (available separately). This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.
Table of Contents
1. Review of Real Numbers
1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Fractions and Mixed Numbers
1.4 Exponents, Order of Operations, Variable Expressions and Equations | 677.169 | 1 |
Discrete mathematics is a branch of mathematics that
models the world of information processing and social decision-making.
Discrete (non-continuous) mathematics has become increasingly important
as more situations are investigated, represented, and solved using
computers. Examples of questions that can be studied via discrete
mathematics are:
What is the quickest way to sort a list of names alphabetically?
Which way of connecting a number of sites into a telephone
network requires the least amount of cable?
Which version of a lottery gives the best odds?
What is the best way for a robot to pick up items stored in an
automated warehouse?
How does a CD player interpret the codes on a CD correctly even
if the CD is scratched?
How can ice cream stands be placed at various street corners in
a town so that at any corner there is a stand which is at most one
block away?
How can representatives be apportioned fairly among the states
using current census information?
Algorithmic solutions: Can we construct an efficient algorithm to
solve the problem?
Optimization: Which solution is best?
We will use problems, both realistic and silly, and games we will learn
about mathematical topics such as:
Graph theory: using vertex-edge diagrams to model and investigate
relationships among a finite number of elements;
Combinatorics: systematic counting procedures;
Recursion: describing and investigating sequential change;
Algorithm development and analysis;
Logic and proof
Through problemse emphasis will be on modeling, problem solving, and
learning to read and write mathematical proofs. Future teachers will
look at the role of discrete mathematics in high school mathematics.
Class Requirements
Homework Policy:
With few exceptions, you will have two assignments due each day:
A reading covering the material to be discussed during that
class period. For each reading assignment, you are to read the section
carefully, identifying the main concepts and questions you may have.
Your reading assignment is a very important part of your work in this
class, and you will have Moodle quizzes over many of the reading
assignments. They do count toward your
grade.
A writing assignment based on the material discussed in the
previous class as well as often some preview problems from the next
sections and possibly some review problems from previous sections. This
assignment should be done in draft form by the next class day
to allow for a small amount of explication in class. The final
form of each assignment is due on the second class day after it is
assigned. You are encouraged to work with other class members to do
your homework assignments. The writing assignments will
count toward your final grade in the
course.
No late homework will be accepted, but 3 writing homework
scores and 3 Moodle quiz scores will be dropped.
Computer Work:
During the semester, we will have a few computer
labs and computer components in other assignments. You will use the
computer algebra system Maple 12 for these assignements. This
program is available on the computers in SC 175. Some of the tests may
have a take-home portion on which you will be expected to use Maple.
Presentations:
You will work in pairs for
this part of the class. Each pair of students is
responsible for making a 30 minute presentation to the class during the
last half of the class. Your presentation should not be at the
``theorem-proof'' level of mathematics. Instead, it should show
some
application of discrete mathematics, to another discipline or to some
interesting problems. Your presentation should involve some
hands-on
engagement
by the rest of the class. Here are some possibilities.
Other ideas will be provided after we get into the class material.
Matching using graphs
You could design a roommate match procedure, a dating service
or some other situation matching one person with another.
Network Flows
This topic leads to solutions to problems involving
getting traffic out of a city during rush hours, or getting a large
group of
people from the ground floor to a penthouse with a limited number of
elevators.
Voting theory
An important topic, especially since we just finished a
presidential election year.
Codes and cryptography
Create and decipher secret codes. Include
public key codes, which are becoming even more important with
increasing computer
security issues.
Games or magic tricks using discrete mathematical structures or
topics.
Collection of problems around a topic of your choosing.
Examples include:
Application of graph theory to management decision making.
Application of graph theory or combinatorics to taking a trip,
visiting
a museum, or other situation.
Creative story using discrete mathematics topics.
Discrete mathematics in middle or high school.
Most appropriate for students considering high school teaching.
Other? Talk to me!
Grading Policy:
How does your work contribute to your final grade?
What grade will you get in this class?
Components:
Points Possible:
Total Points
Earned as % of Possible
Minimum Grade
You Will Earn
Homework, Labs and
Moodle Quizzes
100-150 points
90%
A-
Presentation
50
points
80%
B-
2 Tests
200 points
65%
C-
Final
150 points
Total Possible
500-550
points
Hints for Success:
Reading the material carefully before it is covered in class is a
big step toward success in any math course. Successful students
typically outline or otherwise summarize the material briefly in their
notebook and highlight questions to bring to class. A great way to
become familiar with concepts and techniques is to work each of the
examples. (This means work on paper -- don't just read and nod.)
Be sure to work lots of problems -- they are fun!
Make sure that you begin the assigned homework as soon as possible
after it is assigned and bring a nearly complete homework paper to the
following class so that you can get the most out of any homework
discussion in class. Be sure to make connections in your mind between
discrete concepts and the other mathematics that you have studied.
Disability Policy:
If you have a documented disability that will impact your work in
this class, please contact me to discuss your needs. Additionally, you
will need to register with Student Disability Services located at the
Academic Support Center. All such
discussions will be confident | 677.169 | 1 |
College Algebra : Graphs and Models -Text Only - 4th edition
Summary: The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible. In Connecting the Concepts, comprehension is streamlined and retention is maximized when the student views a concept in visual, rather than paragraph, form. Zeros, Solutions, and X-Intercepts Theme Carried Throughout helps students vi...show moresualize and connect the following three concepts when they are solving problems: the real zeros of the function, the solutions of the associated equation, and the x-coordinates of the x-intercept of the graph of the function. Each chapter begins with a relevant application highlighting how concepts presented in the chapter can be put to use in the real world. These applications are accompanied by numerical tables, equations, and grapher windows to show students the many different ways in which problems can be examined. End-of-Chapter material includes a summary and review of properties and formulas along with a complete set of review exercises. Review exercises also include synthesis, critical thinking, and writing exercises. The answers to all of the review exercises appear in the back of the text and have text section references to further aid students. For anyone interested in learning algebra00 +$3.99 s/h
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Linear Programing: The Simplex Method
Summary: This chapter covers principles of the simplex method to Linear Programming. After completing this chapter students should be able to: solve linear programming maximization problems using the simplex method and solve the minimization problems using the simplex method.
Chapter Overview
Maximization By The Simplex Method
In the last chapter, we used the geometrical method to solve linear programming problems, but the geometrical approach will not work for problems that have more than two variables. In real life situations, linear programming problems consist of literally thousands of variables and are solved by computers. We can solve these problems algebraically, but that will not be very efficient. Suppose we were given a problem with, say, 5 variables and 10 constraints. By choosing all combinations of five equations with five unknowns, we could find all the corner points, test them for feasibility, and come up with the solution, if it exists. But the trouble is that even for a problem with so few variables, we will get more than 250 corner points, and testing each point will be very tedious. So we need a method that has a systematic algorithm and can be programmed for a computer. The method has to be efficient enough so we wouldn't have to evaluate the objective function at each corner point. We have just such a method, and it is called the simplex method.
The simplex method was developed during the Second World War by Dr. George Dantzig. His linear programming models helped the Allied forces with transportation and scheduling problems. In 1979, a Soviet scientist named Leonid Khachian developed a method called the ellipsoid algorithm which was supposed to be revolutionary, but as it turned out it is not any better than the simplex method. In 1984, Narendra Karmarkar, a research scientist at AT&T Bell Laboratories developed Karmarkar's algorithm which has been proven to be four times faster than the simplex method for certain problems. But the simplex method still works the best for most problems.
The simplex method uses an approach that is very efficient. It does not compute the value of the objective function at every point, instead, it begins with a corner point of the feasibility region where all the main variables are zero and then systematically moves from corner point to corner point, while improving the value of the objective function at each stage. The process continues until the optimal solution is found.
To learn the simplex method, we try a rather unconventional approach. We first list the algorithm, and then work a problem. We justify the reasoning behind each step during the process. A thorough justification is beyond the scope of this course.
We start out with an example we solved in the last chapter by the graphical method. This will provide us with some insight into the simplex method and at the same time give us the chance to compare a few of the feasible solutions we obtained previously by the graphical method.
But first, we list the algorithm for the simplex method.
THE SIMPLEX METHOD
Set up the problem.
That is, write the objective function and the constraints.
Convert the inequalities into equations.
This is done by adding one slack variable for each inequality.
Construct the initial simplex tableau.
Write the objective function as the bottom row.
The most negative entry in the bottom row identifies a column.
Calculate the quotients. The smallest quotient identifies a row. The element in the intersection of the column identified in step 4 and the row identified in this step is identified as the pivot element.
The quotients are computed by dividing the far right column by the identified column in step 4. A quotient that is a zero, or a negative number, or that has a zero in the denominator, is ignored.
Perform pivoting to make all other entries in this column zero.
This is done the same way as we did with the Gauss-Jordan method.
When there are no more negative entries in the bottom row, we are finished; otherwise, we start again from step 4.
Read off your answers.
Get the variables using the columns with 1 and 0s. All other variables are zero. The maximum value you are looking for appears in the bottom right hand corner.
Example 2
Problem 1
Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12 hours a week. She has determined that for every hour she works at Job I, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If she makes $40 an hour at Job I, and $30 an hour at Job II, how many hours should she work per week at each job to maximize her income?
Solution
In solving this problem, we will follow the algorithm listed above.
Set up the problem. That is, write the objective function and the constraints.
Let
x1=The number of hours per week Niki will work at Job Ix1=The number of hours per week Niki will work at Job I size 12{x rSub { size 8{1} } ="The number of hours per week Niki will work at Job I"} {}.
and
x2=The number of hours per week Niki will work at Job IIx2=The number of hours per week Niki will work at Job II size 12{x rSub { size 8{2} } ="The number of hours per week Niki will work at Job II"} {}.
It is customary to choose the variable that is to be maximized as
ZZ size 12{Z} {}.
Here the variable
y1y1 size 12{y rSub { size 8{1} } } {} picks up the slack, and it represents the amount by which
x1+x2x1+x2 size 12{x rSub { size 8{1} } +x rSub { size 8{2} } } {} falls short of 12. In this problem, if Niki works fewer that 12 hours, say 10, then
y1y1 size 12{y rSub { size 8{1} } } {} is 2. Later when we read off the final solution from the simplex table, the values of the slack variables will identify the unused amounts.
Construct the initial simplex tableau. Write the objective function as the bottom row.
Now that the inequalities are converted into equations, we can represent the problem into an augmented matrix called the initial simplex tableau as follows.
Figure 1
Here the vertical line separates the left hand side of the equations from the right side. The horizontal line separates the constraints from the objective function. The right side of the equation is represented by the column
CC size 12{C} {}.
The reader needs to observe that the last four columns of this matrix look like the final matrix for the solution of a system of equations. If we arbitrarily choose
x1=0x1=0 size 12{x rSub { size 8{1} } =0} {} and
x2=0x2=0 size 12{x rSub { size 8{2} } =0} {}, we get
The solution obtained by arbitrarily assigning values to some variables and then solving for the remaining variables is called the basic solution associated with the tableau. So the above solution is the basic solution associated with the initial simplex tableau. We can label the basic solution variable in the right of the last column as shown in the table below.
Figure 2
The most negative entry in the bottom row identifies a column.
The most negative entry in the bottom row is –40, therefore the column 1 is identified.
Figure 3
Problem 2
Why do we choose the most negative entry in the bottom row?
Solution
The most negative entry in the bottom row represents the largest coefficient in the objective function – the coefficient whose entry will increase the value of the objective function the quickest.
Calculate the quotients. The smallest quotient identifies a row. The element in the intersection of the column identified in step 4 and the row identified in this step is identified as the pivot element.
As mentioned in the algorithm, in order to calculate the quotient, we divide the entries in the far right column by the entries in column 1, excluding the entry in the bottom row.
Figure 4
The smallest of the two quotients, 12 and 8, is 8. Therefore row 2 is identified. The intersection of column 1 and row 2 is the entry 2, which has been highlighted. This is our pivot element.
Problem 3
Why do we find quotients, and why does the smallest quotient identify a row?
Solution
When we choose the most negative entry in the bottom row, we are trying to increase the value of the objective function by bringing in the variable
x1x1 size 12{x rSub { size 8{1} } } {}. But we cannot choose any value for
x1x1 size 12{x rSub { size 8{1} } } {}. Can we let
x1=100x1=100 size 12{x rSub { size 8{1} } ="100"} {}? Definitely not! That is because Niki never wants to work for more than 12 hours at both jobs combined. In other words,
x1+x2≤12x1+x2≤12 size 12{x rSub { size 8{1} } +x rSub { size 8{2} } <= "12"} {}. Now can we let
x1=12x1=12 size 12{x rSub { size 8{1} } ="12"} {}? Again, the answer is no because the preparation time for Job I is two times the time spent on the job. Since Niki never wants to spend more than 16 hours for preparation, the maximum time she can work is
16÷2=816÷2=8 size 12{"16" div 2=8} {}. Now you see the purpose of computing the quotients.
Problem 4
Why do we identify the pivot element?
Solution
As we have mentioned earlier, the simplex method begins with a corner point and then moves to the next corner point always improving the value of the objective function. The value of the objective function is improved by changing the number of units of the variables. We may add the number of units of one variable, while throwing away the units of another. Pivoting allows us to do just that.
The variable whose units are being added is called the entering variable, and the variable whose units are being replaced is called the departing variable. The entering variable in the above table is
x1x1 size 12{x rSub { size 8{1} } } {}, and it was identified by the most negative entry in the bottom row. The departing variable
y2y2 size 12{y rSub { size 8{2} } } {} was identified by the lowest of all quotients.
In (Reference), we used pivoting to obtain the row echelon form of an augmented matrix. Pivoting is a process of obtaining a 1 in the location of the pivot element, and then making all other entries zeros in that column. So now our job is to make our pivot element a 1 by dividing the entire second row by 2. The result follows.
Figure 5
To obtain a zero in the entry first above the pivot element, we multiply the second row by –1 and add it to row 1. We get
Figure 6
To obtain a zero in the element below the pivot, we multiply the second row by 40 and add it to the last row.
Figure 7
We now determine the basic solution associated with this tableau. By arbitrarily choosing
x2=0x2=0 size 12{x rSub { size 8{2} } =0} {} and
y2=0y2=0 size 12{y rSub { size 8{2} } =0} {}, we obtain
x1=8x1=8 size 12{x rSub { size 8{1} } =8} {},
y1=4y1=4 size 12{y rSub { size 8{1} } =4} {}, and
z=320z=320 size 12{z="320"} {}. If we write the augmented matrix, whose left side is a matrix with columns that have one 1 and all other entries zeros, we get the following matrix stating the same thing.
When there are no more negative entries in the bottom row, we are finished; otherwise, we start again from step 4.
Since there is still a negative entry, –10 , in the bottom row, we need to begin, again, from step 4. This time we will not repeat the details of every step, instead, we will identify the column and row that give us the pivot element, and highlight the pivot element. The result is as follows.
Figure 8
We make the pivot element 1 by multiplying row 1 by 2, and we get
Figure 9
Now to make all other entries as zeros in this column, we first multiply row 1 by
−1/2−1/2 size 12{ - 1/2} {} and add it to row 2, and then multiply row 1 by 10 and add it to the bottom row.
Figure 10
We no longer have negative entries in the bottom row, therefore we are finished.
Problem 5
Why are we finished when there are no negative entries in the bottom row?
Solution
The answer lies in the bottom row. The bottom row corresponds to the following equation.
We now read off our answers, that is, we determine the basic solution associated with the final simplex tableau. Again, we look at the columns that have a 1 and all other entries zeros. Since the columns labeled
y1y1 size 12{y rSub { size 8{1} } } {} and
y2y2 size 12{y rSub { size 8{2} } } {} are not such columns, we arbitrarily choose
y1=0y1=0 size 12{y rSub { size 8{1} } =0} {}, and
y2=0y2=0 size 12{y rSub { size 8{2} } =0} {}, and we get
The final solution says that if Niki works 4 hours at Job I and 8 hours at Job II, she will maximize her income to $400. Since both slack variables are zero, it means that she would have used up all the working time, as well as the preparation time, and none will be left.
Minimization By The Simplex Method
In this section, we will solve the standard linear programming minimization problems using the simplex method. Once again, we remind the reader that in the standard minimization problems all constraints are of the form
ax+by≥cax+by≥c size 12{ ital "ax"+ ital "by" >= c} {}. The procedure to solve these problems was developed by Dr. John Von Neuman. It involves solving an associated problem called the dual problem. To every minimization problem there corresponds a dual problem. The solution of the dual problem is used to find the solution of the original problem. The dual problem is really a maximization problem which we already learned to solve in the Section 2. We will first solve the dual problem by the simplex method and then, from the final simplex tableau, we will extract the solution to the original minimization problem.
Before we go any further, however, we first learn to convert a minimization problem into its corresponding maximization problem called its dual.
Solution
To achieve our goal, we first express our problem as the following matrix.
Figure 11
Observe that this table looks like an initial simplex tableau without the slack variables. Next, we write a matrix whose columns are the rows of this matrix, and the rows are the columns. Such a matrix is called a transpose of the original matrix. We get
Figure 12
The following maximization problem associated with the above matrix is called its dual.
A closer look at this table reveals that the
x1x1 size 12{x rSub { size 8{1} } } {} and
x2x2 size 12{x rSub { size 8{2} } } {} values along with the minimum value for the minimization problem can be obtained from the last row of the final tableau. We have highlighted these values by the arrows.
We restate the solution as follows:
The minimization problem has a minimum value of 400 at the corner point (20, 10).
The optimal solution is found in the bottom row of the final matrix in the columns corresponding to the slack variables, and the minimum value of the objective function is the same as the maximum value of the dual | 677.169 | 1 |
Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, Cramer's rule and its applications.
Derivative of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretations and simple applications.
^2. Applications of Derivatives
Applications of derivatives: rate of change, increasing/decreasing functions, tangents & normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
3. Integrals
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type to be evaluated.
,,, ,
. ,
Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
^4. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, areas of circles/ parabolas/ellipses (in standard form only), area under the curve y = sin x, y = cos x, area between the two above said curves (the region should be clearly identifiable).
^5.+ py = q, where p and q are functions of x and
+ px = q, where p and q are functions of y.
^UNIT-IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY
1. Vectors
Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit. Scalar triple product.
^2. Three - dimensional Geometry, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane.
Definition of a designs, experimental unit, treatment Principles of design of experiments, randomization, replication and local Control. Determination of number of replications, size and shape experimental Unit, Layouts of completely Randomized Block Design, Randomized Block Design, and Lalin square Design. Practical situations where these designs can be used. Merits and demerits of CDR, RDB & LSD.
Regression analysis as the method of predicting the value of one quantitative variable from those of other quantitative variables, viz. Regression Coefficients and their properties, two regression equations, Graphing of regression lines, Angle between two lines of Regression.
Introduction, Process control, control charts, control limits, tools for statistical quality control, Control chart for variables, X and R-charts; Critierion for detecting lack of control in X and R charts. Interpretation of X and R charts. Control charts for attributes; P-chart or control chart for fraction defective, control chart for number of defects per unit (C-chart). Application of C-Chart.
^Unit-IX : Curve Fitting and Method of Least Square 06 marks
Curve fitting, straight line, Parabola, Freehand method of curve fitting. Method of least squares, normal equations, fitting of a straight line and fitting of second degree parabola. Fitting of Exponential land Geometric curves.
What are computers? What they can perform and what they can not perform, role and use of computers in modern society, etc. Meaning of a problem-algorithm, a detailed and precise step by step method of solution of the problem illustrated by means of simple day to day problems (like buying and article, multiplication of numbers, etc) Simple flow charting (decision boxes included but not loops), Easy exercises.
Organising raw data in a form in which it is more easily comprehended; Recall of frequency distribution and its graphical representation through bar diagram, pi-charts, etc.
Relative frequency distribution as a tool for comparing two distributions.
Measure of location and dispersion as methods of summarizing the information contained in a frequency distribution. Mean and standard deviation; Median and Mean deviation about the median.
Methods of calculating mean, standard deviation and mean deviation.
10 marks
^Unit III Partnership
Investment of capital for unequal period, sharing of profit, partners salaries, interest on capital, profit sharing on the admission of a new partners/retirement of an existing partner.
10 marks
Unit IV Bill of Exchange
Introduction of Bill of Exchange, Bankers discount, true discount and Bankers gain, Types of Bill of Exchange, Feature of a Bill of Exchange, Advantages of bill exchange.
10 marks
^Unit V Matrices and Determinants
Matrix as rectangular arrangements of numbers. Type of matrices, equality of matrices; Addition, Scalar multiplication and multiplication of matrices, linear combinations of matrices, non-commutativity and associativity of matrix, multiplication, singular and non-singular matrices; Linear equation in matrix notation, Determinants; minors cofactors of determinants, expansion of a determinant, properties and elementary transformation of determinants, application of determinants in solution of equations and area of a triangle; Cramer's rule, adjoint and inverse of a matrix and its properties; Application of matrices in solving simultaneous equations in three variable.
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fraction and by parts, only simple integrals of the type
to be evaluated.
Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
10 marks
^Unit VIII Application of Integrals
Application in finding the area under simple curves, especially lines, arcs of circles/ parabolas/ellipse (in standard form only), area between the two above said curves (the region should be clearly identifiable).
10 marks
^Unit IX degree. Solutions of linear differential equation of the type:
10 marks
Unit X Application of Calculus Commerce and Economics
Average cost and marginal costs, total revenue, average revenue and marginal revenue, Break even analysis, maximization of total revenue and total profits, maximization of average cost.
Definition of a class, Members of a class - Data Members and Member Functions (methods), Using Private and Public visibility modes, default visibility mode (private); Member function definition: inside class definition and outside class definition using scope resolution operator (::); Declaration of objects as instances of a class; accessing members from object(s), Array of type class, Objects as function arguments - pass by value and pass by reference;
One and two Dimensional arrays: Sequential allocation and address calculation; One dimensional array: Traversal, Searching (Linear, Binary Search), Insertion of an element in an array, deletion of an element from an array, Sorting (Insertion, Selection, Bubble sort), concatenation of two linear arrays, merging of two sorted arrays; Two-dimensional arrays: Traversal, Finding sum/difference of two NxM arrays containing numeric values, Interchanging Row and Column elements in a two dimensional array;
^Stack (Array and Linked implementation of Stack):
Operations on Stack (PUSH and POP) and its Implementation in C++, Converting expressions from INFIX to POSTFIX notation and evaluation of Postfix expression; Queue: (Circular Array and Linked Implementation):
Operations on Queue (Insert and Delete) and its Implementation in C++.
SQL functions: SUM, AVG, COUNT, MAX and MIN; obtaining results (SELECT query) from 2 tables using equi-join, cartesian product and union Note: Implementation of the above mentioned commands could be done on any SQL supported software on one or two tables.
15 SQL commands along with the output based on any table/relation: 3 Marks
^5. Viva Voce Marks 05
Viva will be asked from syllabus covered in class XII and the project developed by student.
GUIDELINES FOR PROJECTS (Class XII)
1. Preamble
1.1 The academic course in Computer Science includes one Project. The Purpose behind this is to consolidate the concepts and practices imparted during the course and to serve as a record of competence.
1.2 A group of 2-4 students as team may be allowed to work on one project.
^2. Project content
2.1 Project for class XII should ensure the coverage of following areas of curriculum:
2.2 The aim of the project is to highlight the abilities of algorithmic formulation, modular programming, optimized code preparation, systematic documentation and other associated aspects of Software Development.
2.4 The assessment would be through the project demonstration and the Project Report, which should portray Programming Style, Structured Design, Minimum Coupling, High Cohesion, Good documentation of the code to ensure readability and ease of maintenance.
^INFORMATION PRACTICES
Maximum Marks: 100
Theory: Marks 70 Time: 3 hours
Practicals: Marks 30
1. NETWORKING AND OPEN STANDARDS Marks 10
2. PROGRAMMING Marks 25
3. RELATIONAL DATABASE MANAGEMENT SYSTEM Marks 30
4. IT APPLICATIONS Marks 05
^UNIT 1: NETWORKING AND OPEN STANDARDS
Computer Networking: Networking - a brief overview, Identifying computers and users over a
Student will be given a problem to be solved using Java during practical Examination to be conducted at the end of the course.
^SQL Queries 5 marks
Student will be asked to write 5 queries based on one or two tables during practical Examination to be conducted at the end of the course
Practical Record File
A practical record file is required to be created during the entire academic session. It should be duly signed by the concerned teacher on regular basis and is to be produced at the time of Final Practical Examination for evaluation. It should include the following:
Students in group of 2-3 are required to work collaboratively to develop a project using Programming and Database skills learnt during the course. The project should be an application with GUI front-end based on any one of the following domains - e-Governance, e-Business and e-Learning
Viva Voce (1+2+2) marks
Students will be asked oral questions during practical Examination to be conducted at the end of the course. The questions will be from the entire course covered in the academic session
^ENGLISH LITERATURE
Romeo and Juliet by Shakespeare – 40 marks
An Anthology of Poems – 60 marks
Max. Marks 100 Time 3 hrs
Blossoms-II
UNIT-I
01 Say This City Has Ten Million Souls W.H.Auden
02 A Far Cry From Africa Derek Walcott
03 Galib's Gazal Translated by
Aga Shahid Ali
04 When I Have Fears That I May Cease To Be John Keats
05 Selections From Under Siege Mahmud Darwish 15 Marks
UNIT- II
06 The Queen's Rival Sarojini Naidu
07 The Lotus Toru Dutt
08 A Memory Lost From Delhi Aga Shahid Ali
09 The Tiger And The Deer Sri Aurobindu
10 Ask Me Not For That Old Fervour Faiz Ahmad Faiz
Translated by
Shiv K.Kumar
15 Marks
UNIT-III
11 Vaakhs of Lal Ded Translated by
Prof. Neer ja Mattoo
12 Rubayat of Omar Khayyam Translated by
Edward FitzGerald
13 Leave This Rabindra Nath Tagore
14 The Tale of Melon City Vikram Seth
15 Autumn Kalidasa
Translated by
Arthur W. Ryder
15 Marks
UNIT-IV
16 Shrukhs of Sheikh Ul Alam Translated by
Prof. G.R.Malik
17 A Will In The Name Of A New Man Kehari Singh Madhukar
Translated by Shiv Nath
18 Seven Ages William Shakespeare
19 The Raven Edgar Allan Poe
15 Marks
^SYALLBI AND SCHEME OF ASSESSMENT )
10 Minutes shall be exclusively provided to the students for understanding the question paper apart from the allotted time.
The paper shall be divided into four sections, Section "A" shall be exclusively based on the play tilted Romeo and Juliet by Shakespare carrying 40 Marks while as Section "B" shall be based on Blossoms-II Anthology of poems carrying 60 Marks.
^SECTION "A"
Play (40 Marks)
Q 1. One question based on reference to context. This question shall carry two parts, A & B with internal choice. Each part shall carry 7½ Marks.
[7½ X2=15] Marks.
Q 2. One long answer type question on theme, plot, style, background, character etc. of the play . The candidate shall have to attempt one question out of two.
[10X1=10 Marks]
Q 3. This question shall be based on two parts i,e a & b . Part a (short answer type question) shall be based on specific scene, incident, situation etc. which has special importance in the play.
Part b shall be based on the opinion, critical appreciation of the play. This shall be an open type question based on the student's understanding of the play with internal choice. Each part shall carry (05) marks.
[05X02=10 Marks]
Q 4. Objective type questions based on the play concerning profile of the playwright dates, theme, style, dramatic technique, plot, incident, dialogue, character etc. Each question shall carry one mark.
[01X05=05 Marks]
^SECTION B
(Poetry 60 Marks)
Q. 5 One questions based on reference to context. This question shall carry two parts i,e a & b with internal choice . Each question shall carry 7½ Marks.
[7½ X2=15] Marks.
Q.6 This question shall be based on the poems emphasizing on poetic techniques / literary devices. The examiner may ask poetic techniques such as metaphor. Simile, personification, imagery paradox, irony, satire, supernaturalism etc. from the prescribed poems. Students shall have to attempt five questions out of eight each question shall carry four marks.
[04X05=20 Marks]
Q. 7. This question shall be based on two parts i,e a & b, each carrying 05 marks and shall be based on genre specificity of poems such as sonnet,. ode, ghazal, free verse etc. The candidate's comprehensive and critical understanding of poems shall also be tested. The candidate shall have to attempt two questions out of four. There shall be internal choice in questions.
[05 X2=10] Marks.
Q. 8. Two short answer type question based on textual understanding of the poems with internal choice. [05 X2=10] Marks. | 677.169 | 1 |
Beginning Algebra - 10th edition
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Calculus II –
mth320
(4 credits)
This course examines integral calculus topics. Students are presented with integration techniques for functions of one variable and more applications of definite integrals. Students explore numerical techniques of integration. Students also examine the area function, Riemann sums and indefinite integrals, and apply these to real-life problems. The course concludes with the fundamental theorem of calculus.
Use integral calculus to determine volumes, lengths of plane curves, and surface areas.
Solve indefinite integrals.
Describe the relationship between derivatives and integrals (Fundamental Theorem of Calculus).
Integration
Solve improper integrals.
Estimate integrals with the Trapezoidal rule and Simpson's rule.
Use integral tables to solve problems.
Use partial fractions to simplify integration of rational functions | 677.169 | 1 |
Mathematics for Elementary Teachers: A Conceptual Approach
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Publisher: McGraw-Hill
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Mathematics Of Voting And Elections A Hands-on Approach
9780821837986
ISBN:
0821837982
Pub Date: 2005 Publisher: American Mathematical Society
Summary: The results of an election depend not just upon the wishes of the electorate, but also upon the mathematics used to calculate the result. Using numerous case studies & featuring discussions of actual elections from the perspectives of both politics & popular culture, this text explores vote counting systems.
Hodge, Jonathan K. is the author of Mathematics Of Voting And Elections A Hands-on Approach, publishe...d 2005 under ISBN 9780821837986 and 0821837982. Three hundred fifty two Mathematics Of Voting And Elections A Hands-on Approach textbooks are available for sale on ValoreBooks.com, one hundred forty two used from the cheapest price of $6.00, or buy new starting at $40 | 677.169 | 1 |
I'm far from the level of mathematical knowledge every user on this website posseses, however I am very much determined to get there as my love for mathematics increases. These are the topics:
Thanks, Im not from US so I don't know what grade level this stuff is. However it is a further maths course here are resources for these topics are either scarce or of poor quality. I would like to improve my knowledge of mathematics, and not just learn to pass an exam.
Simarly, is there a solid text I can use to self teach statistics? I have to cover basic topics like deviation/variance all the way to harder probability.
2 Answers
Try looking first at Khan Academy for help with stats and linear algebra (matrices), as well as to review on the fundamentals, which you'll need to fully grasp in order to successfully master more advanced topics. Another helpful resource for learning linear algebra and differential equations, and for reviewing the "basics" is Paul's Online Math Notes and tutorials.
Then perhaps you'd like to explore MIT's Open Courseware - Mathematics for access to classes and topics of interest and where you'll also learn which texts are used for the available classes. Often, course notes, videos of lectures, and exams are available to assist learners, all free of charge.
All great references, so I'll just add something on this answer. Schaum's collection is a really good way to learn too, and it covers from basic topics to advanced ones in a lot of areas of math.
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Ivan LernerNov 26 '12 at 18:44 | 677.169 | 1 |
Publications
Major Publications
Busynessgirl.comcontains more than a thousand short articles about teaching ideas, resources for learning, tutorials for using technology, teaching in the digital age, game design, and general adventures. This might not be considered a "scholarly" publication, but it was a heck of a lot of work and gets viewed by thousands of people every week.
Algebra Activities, a 1000-page Instructor resource binder of activities and teaching guides for algebra, published January 2010 by Cengage Learning. This is accompanied by approximately 30 individual Algebra Activities student workbooks for the entire Cengage Learning Algebra textbook line. Visit the Cengage Community Site for Algebra Activities.
Instructor Resource Binders and Workbooksfor Tussy/Gustafson Algebra Series, Andersen, M. H., Cengage Learning, 2009.
An extensive collection of teaching guides, assessments, and concept-oriented activities for the algebra classroom. This set of publications includes three workbooks and three Instructor Resource Binders. Sample Chapter or Teasers to Try (these may be used in your classrooms free of charge) | 677.169 | 1 |
Maple by Example, Third Edition, is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. The CD-ROM provides updated Maple input and all text from the book.
* Updated coverage of Maple features and functions
* New applications from a variety of fields, including biology, physics and engineering
* Backwards compatible for all previous Maple version
* More detail in its step-by-step examples"
Amazon Editorial review :
""Overall, I found the book very nice to read and easy to follow. All major aspects of Maple that a novice to intermediate user would come across are covered."
- Laurent Bernard, Maplesoft, Inc.
"The book is eminently readable with a good narrative style and a good blend of didactic exposition followed by the relevant Maple commands. What is especially instructive is the numerous times alternative ways are used to produce equivalent answers showing the versatility of Maple and leaving the choice of method to the reader who attempts similar problems."
- David Hodgkinson, University of Liverpool
Maple is a very powerful computer algebra system used by students, educators, mathematicians, statisticians, scientists, and engineers for doing numerical and symbolic computations. Greatly expanded and updated from the author's MAPLE V Primer, The MAPLE Book offers extensive coverage of the latest version of this outstanding software package, MAPLE 7.0 The MAPLE Book serves both as an introduction to Maple and as a reference. Organized according to level and subject area of mathematics, it first covers the basics of high school algebra and graphing, continues with calculus and differential equations then moves on to more advanced topics, such as linear algebra, vector calculus, complex analysis, special functions, group theory, number theory and combinatorics. The MAPLE Book includes a tutorial for learning the Maple programming language. Once readers have learned how to program, they will appreciate the real power of Maple. The convenient format and straightforward style of The MAPLE Book let users proceed at their own pace, practice with the examples, experiment with graphics, and learn new functions as they need them. All of the Maple commands used in the book are available on the Internet, as are links to various other files referred to in the book. Whatever your level of expertise, you'll want to keep The MAPLE Book next to your computer. | 677.169 | 1 |
Eighth Grade Math:Algebra 1 course includes the study of rational number properties, variables, polynomials, and factoring. Students learn to write, solve, and graph linear and quadratic equations and to solve systems of equations. They also learn to model real-world applications, including statistics and probability investigations.
6th grde Religionprogram is The Sadlier "We Believe" Program. It is drawn from the wisdom of the community. It was developed by nationally recognized experts in catechesis, curriculum, and child development. | 677.169 | 1 |
How does reading a good book help you in real life?
How does playing a game of golf help you in real life?
How does listening to Mozart help you in real life ?
How does doing a cross-word puzzle help you in real life ?
How does listening to your mp3 players help you in real life ?
How does solving a tough math problem help you in real life ?
etc.
Actually, it doesn't necessarily depend what your so-called real life is like.
Real life is real life, believe it or not. Oh my god. So confusing. Not.
Sorry to be so blunt.
So back to the question. It could help you solve problems that could actually occur to you, like complex interest equations can help you save money. It's like having an inside look at your life. You can know exactly what to do in certain situations.
Algebra - Here is the problem: A two-digit number is eight times the sum of its ...
Algebra - Here is the problem: A two-digit number is eight times the sum of its ...
Algebra II - We are learning how to solve systems using elimination. 2y - 1 = 3x...
Algebra - 2 (3a - 4) - 2 (4a + 3) simplify 2 (a + 4) = 4 (a - 3)solve the ...
Trigonometry - Solve the trigonometric equations. 1.) SIN²x(CSC²x-1) 2.) COT x ...
English - What are some problems with online learning vs. traditional learning?
Quantitative Literacy | MAT106 - In this assignment, look for and provide two ...
english - can somebody please help me with this question . Is this statement ...
Algebra - Describe the steps you would use to solve consecutive integer problems...
AP Biology - The type of learning that is involved in predator/prey interactions... | 677.169 | 1 |
This course explores major modern mathematical developments and helps students to understand and appreciate the unique approach to knowledge employed by mathematics. The course is organized around three major mathematical ideas that have emerged since the time of Sir Isaac Newton. These three ideas may be drawn from: game theory, graph theory, knot theory, logic, mathematics of finance, modern algebra, non-Euclidean geometry, number theory, probability, set theory and the different sizes of infinity, and topology. Students will learn how to solve basic problems in the three areas covered in the course and how to present their solutions concisely, coherently, and rigorously. | 677.169 | 1 |
For equations involving multiple operations, such as 3x+4–2x=8, they erroneously generalized their method and simply undid each operation as they came to it. For example, they would take 8, divide it by 2, add 4, and then subtract 3. (They had to ignore the last operation of multiplication because they had run out of operands.) A preference for the undoing method of equation solving seemed to work against the students when they were later taught the procedure of performing the same operation on both sides of an equation. The students who preferred the undoing method were, in general, unable to make sense of "performing the same operation on both sides." The instruction seemed to have its greatest impact on those students who had an initial preference for the informal method of substitution and who viewed the equation as a balance between left and right sides. This observation suggests that learning to operate on the structure of a linear equation by performing the same operation on both sides may be easier for students who already view equations as entities with symmetric balance and not as statements about a calculation on the left side and the answer on the right.
Despite the considerable body of research on creating meaning for the transformational activities of algebra, few researchers have been able to shed light on the long-term acquisition and retention of transformational fluency. In one study, students were able to produce a meaningful justification for | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
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More About
This Book
measurement, data collection and storage, computation, and communication of information." Black Hole Math is designed to be used as a supplement for teaching mathematical topics. The problems can be used to enhance understanding of the mathematical concept, or as a good assessment of student mastery. This collection of activities is based on a weekly series of space science problems distributed to thousands of teachers during the 2004-2008 school years. They were intended as supplementary problems for students looking for additional challenges in the math and physical science curriculum in grades 10 through 12. The problems are designed to be 'one-pagers' consisting of a Student Page, and Teacher's Answer Key. This compact form was deemed very popular by participating teachers. The topic for this collection is Black Holes, which is a very popular, and mysterious subject among students hearing about astronomy. Students have endless questions about these exciting and exotic objects as many of you may realize! Amazingly enough, many aspects of black holes can be understood by using simple algebra and pre-algebra mathematical skills. This booklet fills the gap by presenting black hole concepts in their simplest mathematical form. General Approach: The activities are organized according to progressive difficulty in mathematics. Students need to be familiar with scientific notation, and it is assumed that they can perform simple algebraic computations involving exponentiation, square-roots, and have some facility with calculators. The assumed level is that of Grade 10-12 Algebra II, although some problems can be worked by Algebra I students. Some of the issues of energy, force, space and time may be appropriate for students taking high school Physics | 677.169 | 1 |
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