| DR. Strang, from looking at your pass quizzes at MIT they seem very challenging to me. There are many twist and turns in your quizzes. I hope that the MIT students are learning linear algebra that stays with them forever. These students are supposed to be the world's brightest.####[['DR. Strang', 'Instructor', 'NEG'], ['NULL', 'Other', 'NEG'], ['MIT students', 'Other', 'NEU'], ['linear algebra', 'Mathematical_Related_Concept', 'NEU']] | |
| This video is what is keeping me going in life, god bless calculus####[['video', 'Course_General_Feedback', 'POS']] | |
| i understand how they felt when he said Taylor expansion.####[['Taylor expansion', 'Mathematical_Related_Concept', 'NEU']] | |
| I learned this in 8th grade wtf??####[['NULL', 'Other', 'NEU']] | |
| This guy is a great professor.####[['professor', 'Instructor', 'POS']] | |
| Prof Leonard is way better####[['Prof Leonard', 'Instructor', 'POS']] | |
| TBH, I did not like his method of teaching it's too abbreviated. It's like the student there were master hahaah maybe and maybe I am the problem. Good Luck.####[['method of teaching', 'Other', 'NEG'], ['abbreviated', 'Other', 'NEG'], ['abbreviated', 'Other', 'NEG'], ['abbreviated', 'Other', 'NEG']] | |
| Wait! How string ab be accepted since q3 not accept state/final state? 14:####[['string ab', 'Mathematical_Related_Concept', 'NEU']] | |
| Anyone have the intuition about why projection and least squares arrive at the same solution? My only piece of intuition is the notion of "length" is kind of "squared"####[['notion of "length"', 'Mathematical_Related_Concept', 'NEU'], ['projection', 'Mathematical_Related_Concept', 'NEU'], ['least squares', 'Mathematical_Related_Concept', 'NEU'], ['"squared"', 'Mathematical_Related_Concept', 'NEU']] | |
| Many thanks to professor Jerison, Joel Lewis, Christine Breiner, professor Miller and the MIT for this excellent free course. Good education has never been so accessible. Off to 18.02!####[['professor Jerison', 'Instructor', 'POS'], ['Joel Lewis', 'Instructor', 'POS'], ['Christine Breiner', 'Instructor', 'POS'], ['professor Miller', 'Instructor', 'POS'], ['MIT', 'Other', 'POS'], ['course', 'Course_General_Feedback', 'POS']] | |
| If this was during Fall 2007, why was it uploaded on Apr 14, 2009?####[['this', 'Course_General_Feedback', 'NEU']] | |
| @[USERNAME]hmmm, I skipped past the easy vector parts lol. but she kinda looks golden brown, not typical paris hilton blonde colour. it could be the lighting making her blonde.####[['vector parts', 'Other', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| I love blackboards! I am glad they still use them.####[['blackboards', 'Teaching_Setup', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| Thinking back, I want to thank my statistics professor. God forbid this guy teaching at my alma mater. Just mentioning standard deviation without any explanation -- no.####[['statistics professor', 'Instructor', 'NEG'], ['standard deviation ', 'Mathematical_Related_Concept', 'NEU'], ['alma mater', 'Other', 'NEU']] | |
| 35:00 why does it kill the basevector v2? is it because it transforms it?####[['basevector v2', 'Mathematical_Related_Concept', 'NEU']] | |
| Brilliant, better insight than the original 18.06####[['original 18.06', 'Course_General_Feedback', 'NEG'], ['insight', 'Course_General_Feedback', 'POS']] | |
| why not use a bigger black board?####[['black board', 'Teaching_Setup', 'NEG']] | |
| for cycloid the proof was given in terms of angle,later it was told that at radius =1 and speed=unity, angle may be replaces with time.thus r vector of cycloid was arrived at in terms of t.also using this r in terms of t, speed was calculated as sqrt(2-2cost).my question is when relation in terms of t was arrived at by using speed =unity,why it is coming as sqrt(2-2cost) ?####[['proof', 'Mathematical_Related_Concept', 'POS'], ['sqrt(2-2cost)', 'Mathematical_Related_Concept', 'NEG']] | |
| Thought Id be watching for 5 minutes, ended up staying for the whole class...####[['class', 'Course_General_Feedback', 'NEU']] | |
| The absolute lack of rigor and the hand-waviness of the lesson makes this video a popular science segment rather than a math lesson. A nice popular science segment, but I certainly hope MIT students of Physics and engineers are directed to take something with a higher level, significantly so. Physics undergrads don't need total rigor, but such a total lack of it doesn't develop mathematical thinking.####[['lesson', 'Course_General_Feedback', 'NEG']] | |
| Just Finished 18.02.Thank you Prof. Denis Auroux and MIT OCW!####[['Prof. Denis Auroux', 'Instructor', 'POS'], ['NULL', 'Other', 'POS']] | |
| the hall needs more chalk boards####[['chalk boards', 'Teaching_Setup', 'NEU']] | |
| Professor Strang ,this is a really useful lecture that starts with classical topics in mathematics. Linear Programming and Two- Persons Games are large topics in applied mathematics.####[['Professor Strang ', 'Instructor', 'POS'], ['lecture', 'Course_General_Feedback', 'POS']] | |
| After watching this lecture, all I can say is how truly amazed I am. What a great video! Except for the fact that I couldn't understand one word he was saying( currently taking Tech Math at HS). I mean the camera was on point, his writing was nice, and the students were quite polite. Superb! MIT you surely do not disappoint :D####[['lecture', 'Course_General_Feedback', 'POS'], ['word he was saying', 'Other', 'NEU'], ['camera', 'Teaching_Setup', 'POS'], ['writing', 'Course_General_Feedback', 'POS'], ['students', 'Other', 'POS'], ['video', 'Course_General_Feedback', 'POS']] | |
| intro to linear transformations and horrors of linear algebra haha####[['linear algebra', 'Mathematical_Related_Concept', 'NEG']] | |
| amazing video for chalkboard asmr####[['video', 'Course_General_Feedback', 'POS']] | |
| I really like the post-processing of video that enhance all those handwriting.####[['video', 'Course_General_Feedback', 'POS'], ['post-processing', 'Teaching_Setup', 'POS'], ['handwriting', 'Teaching_Setup', 'POS']] | |
| When professor Stang says that A = uV^T, I suspect that u is the pivot column and V^T is the pivot row. Am I right? But nonetheless, the lecture is fantastic as usual and these truly are a gift. Thanks a lot professor Strang and MIT.####[['professor Strang', 'Instructor', 'POS'], ['lecture', 'Course_General_Feedback', 'POS']] | |
| Question23:40 - so you have H2 and to build H4 you did H2(H2)To get H8 you did H2(H4) but do H4(H2) = H8 as well?Because I was thinking if you put H4(H4) you would end up with 16 terms and that should be the same as making H4(H2(H2)) since, well, H2(H2) = H4...####[['H2', 'Mathematical_Related_Concept', 'NEU'], ['H4', 'Mathematical_Related_Concept', 'NEU'], ['H2(H2)', 'Mathematical_Related_Concept', 'NEU'], ['H8', 'Mathematical_Related_Concept', 'NEU'], ['H2(H4)', 'Mathematical_Related_Concept', 'NEU'], ['H4(H2) = H8', 'Mathematical_Related_Concept', 'NEU'], ['H4(H4)', 'Mathematical_Related_Concept', 'NEU'], ['H4(H2(H2))', 'Mathematical_Related_Concept', 'NEU'], ['H2(H2) = H4', 'Mathematical_Related_Concept', 'NEU']] | |
| He is such a sweet man and a genius teacher at the same time####[['NULL', 'Instructor', 'POS']] | |
| The way he revealed the likelihood function in its usual form from that series of steps is super mindblowing. I wish my professor showed me how it comes from the TV to the KL then to that.####[['likelihood function', 'Mathematical_Related_Concept', 'NEU'], ['NULL', 'Instructor', 'POS']] | |
| Never saw someone with so much logicality, understandability and clarity in teaching linear algebra, a true GENIUS of our times!####[['NULL', 'Instructor', 'POS'], ['linear algebra', 'Course_General_Feedback', 'POS']] | |
| It is a pure joy watching these lectures. Many thanks to Prof. Gilbert Strang and MIT OCW.####[['lectures', 'Course_General_Feedback', 'POS'], ['Prof. Gilbert Strang', 'Instructor', 'POS'], ['MIT OCW', 'Other', 'POS']] | |
| This is one of the most beautiful lectures on Gaussian elimination.####[['lectures', 'Course_General_Feedback', 'POS']] | |
| I wish he had covered hypothesis testing of parameter estimates !####[['NULL', 'Instructor', 'NEU'], ['hypothesis testing of parameter estimates', 'Mathematical_Related_Concept', 'NEU']] | |
| 3 days before finishing linear algebra... I finally understand linear algebra####[['linear algebra', 'Mathematical_Related_Concept', 'NEU']] | |
| He is really good...thx for uploading this####[['NULL', 'Instructor', 'POS'], ['NULL', 'Teaching_Setup', 'POS']] | |
| Thank you a lot you are a good man to give us this barnch in mathematics####[['NULL', 'Instructor', 'POS'], ['barnch in mathematics', 'Mathematical_Related_Concept', 'POS']] | |
| I can feel professor Jerison progressively becoming more and more annoyed with that kid with all the questions.####[['professor Jerison', 'Instructor', 'NEU']] | |
| @[USERNAME] they are all spelled correctly because this is youtube and i dont proof read my messages to accommadate for some douche with 8th grade argumentative techniques####[['douche', 'Other', 'NEG']] | |
| That's so unfair he says at 10:40 ish that they get all the formulas on the exam!! WTF we have to memorize ALL the stupid formulas####[['formulas', 'Mathematical_Related_Concept', 'NEU']] | |
| love the series, you can tell he is passionate about what he is teaching, thank professor. Also thank you MIT for uploading this content####[['series', 'Course_General_Feedback', 'POS'], ['professor', 'Instructor', 'POS']] | |
| true what "1966avc" said, you helped us r helped me a lot. Thanks for your contribution to education####[['NULL', 'Instructor', 'POS']] | |
| What's the probability of someone entering the wrong lecture theatre at 28:37 ?####[['NULL', 'Other', 'NEG']] | |
| I think he didn't explain an important bit: why are the row picture and the column picture equivalent? As in how do they both yield the b vector?####[['row picture', 'Mathematical_Related_Concept', 'NEU'], ['column picture', 'Mathematical_Related_Concept', 'NEU'], ['b vector', 'Mathematical_Related_Concept', 'NEU']] | |
| I expect that Professor Strang could explain the rank decomposition for calculating the pseudo-inverse. Damn time limit.####[[' rank decomposition', 'Mathematical_Related_Concept', 'NEU'], ['calculating the pseudo-inverse.', 'Mathematical_Related_Concept', 'NEU']] | |
| This lecture is definitely a positive effect on my grasp of the matrix, and this lecture plays a pivotal role in the whole series. Thank you prof. Strang. Nobody has explained those concepts so clearly and coherently -- a whole new world is ahead of me. This is a must-see. A genuine human heritage.####[['lecture', 'Course_General_Feedback', 'POS'], ['grasp of the matrix', 'Other', 'POS'], ['lecture', 'Course_General_Feedback', 'POS'], ['prof. Strang', 'Instructor', 'POS'], ['concepts', 'Mathematical_Related_Concept', 'POS']] | |
| DR. Strang thank you for a powerful lecture on the Survey of Difficulties with Ax=b. In linear systems this equation is displayed in many technical books, with little or no thought about it's difficulties. From watching this lecture, the difficulties of this equation is explained in great detail.####[['DR. Strang', 'Instructor', 'POS'], ['lecture', 'Course_General_Feedback', 'POS'], ['Survey of Difficulties', 'Mathematical_Related_Concept', 'POS'], ['Ax=b', 'Mathematical_Related_Concept', 'POS'], ['linear systems', 'Mathematical_Related_Concept', 'POS']] | |
| Y=x^2 NO!. Meters does not equal meters squared. Try Y=kx^2 where k is a unit conversion factor ie 1/(1meter).In cm, the k would be 1/(100cm) Make SURE your equation is dimensionally correct BEFORE you work with it. The constant k also appears in the answer making volume be in meters cubed (or cm cubed) as volume should be. This lecture was a mess and should be redone!####[['lecture', 'Course_General_Feedback', 'NEG']] | |
| his french accent is marvelous :-)####[['accent', 'Other', 'NEU']] | |
| Well they want to be sure everyone knows the basics of it. Not everyone go to school in USA or Britain . For example, my school in Croatia did not even mention matrices, mean, median and mode which are the basic things in US school system.####[['NULL', 'Mathematical_Related_Concept', 'NEU'], ['matrices', 'Mathematical_Related_Concept', 'NEU'], ['mean', 'Mathematical_Related_Concept', 'NEU'], ['median', 'Mathematical_Related_Concept', 'NEU'], ['mode', 'Mathematical_Related_Concept', 'NEU']] | |
| 31:34 ... "trouble with this visualization"? ... of course he is trying to visualize continuity ... hmmm ... that is gonna take more than a lecture ...####[['NULL', 'Instructor', 'NEU']] | |
| Were you not paying attention the whole time?####[['you', 'Other', 'NEG']] | |
| I must say that I have been very disappointed by this lecture series so far. I am already familiar with single variable calculus. However, I am watching this series to review for some future classes (things like multivariable calculus and real analysis). However, here are some things I have noticed. Would that this instructor had spent some more time on the more rigorous concepts of limits and squeeze theorem, he would not have had to spend so much time trying to justify the proofs of the main two limits of this lecture. In addition to this, his students would be better prepared for future mathematics. As it stands, these students are really at a loss when it comes to their future.I would really hope that instructors learn from this. Spend more time on the things you need to rigorously justify your claim: the foundations. If the ideas are glossed over, then everyone loses. Students don't understand why something is true, and so they become convinced that what the professor is doing is some kind of witchcraft that makes no sense. Please, if you are an instructor and you are reading this, work on the fundamentals!####[['lecture', 'Course_General_Feedback', 'NEG'], ['NULL', 'Instructor', 'NEG']] | |
| @[USERNAME]His name is Denis Auroux.####[['Denis Auroux', 'Instructor', 'NEU']] | |
| I guess I will have to read the book####[['book', 'Teaching_Setup', 'NEU']] | |
| At 49:30 can someone please explain me how in matrix -b and -k came, I tried hard but couldn't understood, or am I missing some sort of pre requisite here?####[['-b', 'Mathematical_Related_Concept', 'NEU'], ['-k', 'Mathematical_Related_Concept', 'NEU']] | |
| Yes! Yes! I understood some of these words!####[['words', 'Other', 'NEU']] | |
| Thank you, this is so helpful####[['NULL', 'Other', 'POS']] | |
| How do you prove the single row linearity of a determinant, I mean how is in matrix A + matrix B we sum ALL rows but in det(A) + det(B) we don't?####[[' single row linearity of a determinant', 'Mathematical_Related_Concept', 'NEU'], ['matrix A', 'Mathematical_Related_Concept', 'NEU'], [' matrix B ', 'Mathematical_Related_Concept', 'NEU'], ['det(A) + det(B) ', 'Mathematical_Related_Concept', 'NEU']] | |
| I cant wait til the fuckers thinking they smart cus they understand this get slapped in the face by the reality of proof based math, if you think this is as hard as it gets your in for a fun time.####[['NULL', 'Other', 'NEG']] | |
| What kind of chalk is being used? And what is the stick diameter?####[['chalk', 'Teaching_Setup', 'NEU'], ['stick diameter', 'Teaching_Setup', 'NEU']] | |
| This lecture made so much sense. My current professor doesn't do a good job in keeping it interesting. Great lecture!####[['lecture', 'Course_General_Feedback', 'POS'], ['professor', 'Instructor', 'NEG']] | |
| gilbert strang sir is the best mathematics teacher in the world####[['gilbert strang sir', 'Instructor', 'POS']] | |
| Love professor Casey. Can we get lectures of linear algebra, matrix algebra, complex analysis also?####[['professor Casey', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'NEU']] | |
| Gram-Schmidt portion of the lecture begins at 26:07 for anyone only interested in that####[['Gram-Schmidt', 'Mathematical_Related_Concept', 'NEU']] | |
| Transpose([0 1 -2 1]) is also nullspace....why didn't he include that??####[['NULL', 'Other', 'NEG']] | |
| I Really Like The Video From Your Line integrals in space, curl, exactness and potentials####[['Video', 'Course_General_Feedback', 'POS']] | |
| @[USERNAME]Many of them are there because they work very hgard and make few mistakes, not because if the depth of their insight,####[['them', 'Other', 'POS']] | |
| For a student like me, having engineering background, these lectures are just blessings.####[['lectures', 'Instructor', 'POS']] | |
| I like how he calls vectors or columns "this guy" and "that guy"####[['NULL', 'Instructor', 'POS'], ['vectors', 'Mathematical_Related_Concept', 'POS'], ['columns', 'Mathematical_Related_Concept', 'POS']] | |
| Completed this course. A great resource for anybody looking to gain a better understanding of probability and statistics. Professor Tsitsiklis is a great lecturer and thank you to him and MIT for bringing such a series to life.####[[' Professor Tsitsiklis', 'Instructor', 'POS'], ['resource', 'Course_General_Feedback', 'POS']] | |
| What a brilliant professor. This was so so helpful####[['professor', 'Instructor', 'POS']] | |
| Can someone please explain why is AV1 =sigma1 U1####[['AV1 =sigma1 U1', 'Mathematical_Related_Concept', 'NEU']] | |
| what is the best book or resource to learn the whole mathematics behind stochastic gradient descent?####[['book', 'Other', 'NEU'], ['resource', 'Other', 'NEU'], ['stochastic gradient descent', 'Mathematical_Related_Concept', 'NEU'], ['mathematics', 'Mathematical_Related_Concept', 'NEU']] | |
| These videos are helpful, but can't see lecture 16?####[['videos', 'Course_General_Feedback', 'POS']] | |
| Incredibly fascinating! Probably the best course I have seen on this channel.####[['course', 'Course_General_Feedback', 'POS']] | |
| at time 1:12:36, the instructor stated the expectation to be P. What is P representing here? In the case of the statistical model, P represents the Family of Distributions......####[['P', 'Mathematical_Related_Concept', 'NEU']] | |
| I am very happy wondering why people keep being happy about the video - Inderminate forms - L'Hospital's rule####[['video', 'Course_General_Feedback', 'POS']] | |
| Why doesn't MIT use wet sponges to clean boards with? >:(####[['MIT', 'Other', 'NEU']] | |
| Dr. Strang is precious, protect him at all costs.####[['Dr. Strang', 'Instructor', 'POS']] | |
| I have just completed your 18.01 course and am now starting Multivariable Calculus. This is just as clear and well taught as the previous course. I think we have entered a new age of higher education where institutions such as MIT take the lead to post entire courses online free for all of whom are willing to learn. I look forward to seeing more advance courses in Mathematics, Physics and indeed all other disciplines uploaded in the future. From the bottom of my heart, thank you MIT.####[['course', 'Course_General_Feedback', 'POS'], ['Multivariable Calculus', 'Course_General_Feedback', 'NEU'], ['MIT', 'Other', 'POS']] | |
| that chalkboard is so clean...####[['chalkboard', 'Teaching_Setup', 'POS']] | |
| This was a really good lecture. It was packed with insights. I love how everything is coming together.####[['lecture', 'Course_General_Feedback', 'POS']] | |
| I Really Like The Video Positive Definite Matrices and Minima From Your####[['Minima', 'Mathematical_Related_Concept', 'POS'], ['Video Positive Definite Matrices', 'Mathematical_Related_Concept', 'POS']] | |
| Oh god! I'm taking this subject in the next 2 months....I don't understand anything!####[['subject', 'Other', 'NEG']] | |
| Who would have guessed, when this guy explains it, it almost sounds easy! You, dear dr. Strang, are a master at what you do...####[['NULL', 'Other', 'POS'], ['dr. Strang', 'Instructor', 'POS']] | |
| Seriously MIT, chalk and a blackboard?......IT´S MIT!!! they should have had already a computer voice recognition software that can laser the command of the teacher into a screen...####[['chalk', 'Teaching_Setup', 'NEG'], ['blackboard', 'Teaching_Setup', 'NEG'], ['MIT', 'Teaching_Setup', 'NEG']] | |
| Around 33:00, for the right-hand side of 'B', how did we obtain A'b/A'A * A? The previous lesson, we obtained 'p' as aa'/a'a * b. How did the aa' *b in the numerator get switched to A'b * A?####[["A'b/A'A * A", 'Mathematical_Related_Concept', 'NEU'], ["'p'", 'Mathematical_Related_Concept', 'NEU'], ["aa'/a'a * b", 'Mathematical_Related_Concept', 'NEU'], ["aa' *b", 'Mathematical_Related_Concept', 'NEU'], ['numerator', 'Mathematical_Related_Concept', 'NEU'], ["A'b * A", 'Mathematical_Related_Concept', 'NEU']] | |
| This is just an introductory course to make sure everyone has the exact same foundation for more difficult courses later on. Keep in mind that this is also known as Calculus I and every university, from the smallest to biggest, teaches the same basics as everyone else.####[['university', 'Other', 'NEU'], ['Calculus I', 'Course_General_Feedback', 'NEU']] | |
| I love the teacher's handwriting!####[['handwriting', 'Teaching_Setup', 'POS']] | |
| @ 24:30 why is row operation able to preserve row space and not column space? as Prof Strang mentioned that 111 can longer be found in C(R) so column space is not preserved. However, I don't see any row in A being found in R as well?. To put my question simply, how do I know if certain space is preserved after certain operation?####[['space', 'Mathematical_Related_Concept', 'NEU']] | |
| I wish we had teachers like him in India.####[['NULL', 'Instructor', 'POS']] | |
| Eigenvalue lam=1.0 leads to a term exp(lam t) = exp(t) grows out of bound. Or am I missing the point. In the last lecture lam= 0 became the steady state value.####[['Eigenvalue lam=1.0', 'Mathematical_Related_Concept', 'NEU'], ['exp(lam t) = exp(t)', 'Mathematical_Related_Concept', 'NEU'], ['lam= 0', 'Mathematical_Related_Concept', 'NEU']] | |
| I Really Like The Video Projections onto Subspaces From Your####[['Video Projections onto Subspaces', 'Other', 'POS']] | |
| In a lot of classes that come with college, I think a lot of undergrads can relate to the frustration in dealing with concepts that the professor "thinks you should know already", when in reality, you see the course description (and even maybe the title of the course), you find that THING (for lack of better words) is, in fact what you should already know :D ...(hopefully I convey my message clearly; it's the result of not-even-a-semester spent at an engineering university can do)####[['college', 'Other', 'NEG']] | |
| How is his proof for dot product not circular logic? If you believe the law of cosines... then that is a proof for the dot product. If you believe in the dot product, then that's proof for law of cosine. WTF?####[['proof', 'Mathematical_Related_Concept', 'NEG']] | |
| After so many years of using linear algebra, until today I finally understand the meaning of matrix multiplication. matrix*vector is linear combination of the columns of the matrix, and vector*matrix is linear combination of the row of the matrix. Then from this standpoint, the meaning of permutation matrix becomes so obvious. Thank you Prof. Strang.####[['Prof. Strang', 'Instructor', 'POS'], ['matrix multiplication', 'Mathematical_Related_Concept', 'POS'], ['linear algebra', 'Mathematical_Related_Concept', 'POS']] | |
| Wow... and this is the high profile, 'first world' education??? ... goshhhh ... I learned this stuff two years before ending highschool!!, is obviously presumed to be known in order to enter university! well... I guess I'll go for Lomonov State University of Moscow... I guess this is why the USSR got first into space xD .. and what's with the exposition?!? beyond if the guy uses or not PowerPoint... it's like reading a crappy colorful textbook!!!####[['profile', 'Other', 'Neg'], ['textbook', 'Teaching_Setup', 'NEG']] | |
| 25:15 "Told you i was 'dyslectic'" rather than dyslexic. Does that mean he's lecturally challenged.####[['NULL', 'Other', 'NEU']] | |
| Thoroughly enjoyed these lectures, much easier to understand than my lecturers in college. Thank you Professor Strang!####[['lectures', 'Course_General_Feedback', 'POS'], ['Professor Strang', 'Instructor', 'POS']] | |
| Thanks Sir. Couldn't get well the big diff between posterior and prior distributions.####[['Sir', 'Instructor', 'NEU'], ['posterior and prior distributions', 'Mathematical_Related_Concept', 'NEG']] | |
| Some of the questions made were very naive.####[['questions', 'Mathematical_Related_Concept', 'NEG']] | |
| this is too easy for a college student####[['NULL', 'Course_General_Feedback', 'NEU']] | |
| I found it more interesting and time saving for me to watch these lectures on 2x speed.####[['lectures', 'Course_General_Feedback', 'POS']] | |
| This guy's great : ) thanks mit####[['NULL', 'Instructor', 'POS'], ['mit', 'Other', 'POS']] | |
| I just messed up in the odd odd, odd even part, whatever the rest is wonderful. Thanks to Prof. Strang from India.####[['Prof. Strang', 'Instructor', 'POS']] | |
| I love that he uses transparencies.####[['transparencies', 'Teaching_Setup', 'POS']] | |
| You repeat for the rest. Remember You now have not only the number that zeroes lets say A but also B that you can use! see the second part of the video to learn why!####[['NULL', 'Other', 'NEU']] | |
| Excellent teacher. The little touches like reinforcing important concepts as he's moving on to new ones that make use of them is very helpful.####[['teacher', 'Instructor', 'POS']] | |
| So happy to see Professor Strang still teaching beautifully. Even more happy that he’s mentioned Julia already in lecture 1. Thank you MIT for providing such up to date material.####[['Professor Strang', 'Instructor', 'POS']] | |
| Did we prove det(AB) = detA*detB in the lecture?####[['det(AB) = detA*detB', 'Mathematical_Related_Concept', 'NEU'], ['lecture', 'Course_General_Feedback', 'NEU']] | |
| i feel better about not having mastered taylor expansions now...####[['taylor expansions', 'Mathematical_Related_Concept', 'NEU']] | |
| Is MIT still using chalkboards ?####[['chalkboards', 'Teaching_Setup', 'NEU']] | |
| how could v = [v1 v2 v3 v4]' dimension equals to 3?? in 31:00####[['v = [v1 v2 v3 v4]', 'Mathematical_Related_Concept', 'NEU'], ['dimension', 'Mathematical_Related_Concept', 'NEU']] | |
| Can any1 say how should i download video????####[['video', 'Course_General_Feedback', 'NEU']] | |
| wow. im in 8th grade and i got this (well how to solve the first segment on vectors). and i was just looking at this video for kicks. and THOSE idiots got into MIT!!??####[['idiots', 'Other', 'NEG']] | |
| auroux's handwriting is so hot####[["auroux's handwriting", 'Teaching_Setup', 'POS']] | |
| 36:50 It is not p and lp, it is p(polynomial) and np(not polynomial). I think he misspoke about it.####[['NULL', 'Instructor', 'NEG']] | |
| Around 21:00,.In general case of R^n, you can not form a determinant of A and B unless n=2. Hmmm####[['R^n', 'Mathematical_Related_Concept', 'NEU'], ['determinant', 'Mathematical_Related_Concept', 'NEU'], ['A', 'Mathematical_Related_Concept', 'NEU'], ['B', 'Mathematical_Related_Concept', 'NEU'], ['n=2', 'Mathematical_Related_Concept', 'NEU']] | |
| @[USERNAME]I so badly want to write on that blackboard only to erase using that amazing "eraser" (am I correct calling that an "eraser"? My english is prety poor). I've never seen these things SO large. I'm going to get one of them for my own teaching.####[['"eraser"', 'Teaching_Setup', 'POS']] | |
| I really wish the sound was better...####[['sound', 'Other', 'POS']] | |
| lol that loud applause startled him a bit####[['NULL', 'Instructor', 'NEU']] | |
| Math - this is how you do it.Oh, and I lol'd at 22:48 when they clapped for him.####[['Math', 'Mathematical_Related_Concept', 'POS']] | |
| How I would wish to stay at MIT studying right now####[['MIT', 'Other', 'POS']] | |
| Great lecture! Thank you, Professor Strang!####[['lecture', 'Course_General_Feedback', 'POS'], ['Professor Strang', 'Instructor', 'POS']] | |
| Thank you Mr. Strang. You are an excellent prof. Thanks MIT too####[['Mr. Strang', 'Instructor', 'POS'], ['prof', 'Instructor', 'POS'], ['MIT', 'Other', 'POS']] | |
| He teaches with rigor and yet manages to make it look easy!####[['He', 'Instructor', 'POS'], ['NULL', 'Course_General_Feedback', 'POS']] | |
| Intuitive Ideas are actually helpful to understand the concept. How simply he has explained it.####[['NULL', 'Instructor', 'POS'], ['Ideas', 'Other', 'POS']] | |
| I have no doubt about his knowledge but he looks less interested in teaching.####[['he', 'Instructor', 'NEG']] | |
| While discussing 4th way of matrix multiplication, gives subtle hints so that it'll strike you that matrix multiplication is actually about the inner product of the column vectors of the 2 matrices (a^T×b).What an absolute legend.####[['4th way of matrix multiplication', 'Mathematical_Related_Concept', 'POS']] | |
| on the pocket of his shirt, it look like a guy screaming!!! Once you see it, you cant unsee####[['guy', 'Instructor', 'NEU']] | |
| Proof of TRL neglects edges inside clusters?####[['TRL neglects edges', 'Mathematical_Related_Concept', 'NEU'], ['clusters', 'Mathematical_Related_Concept', 'NEU']] | |
| Thanks to MIT for explaining that one. I can think of an explanation for the origin of that phrase. You see, the Summer gets "tricked" into thinking it's gonna last. But alas! The Winter inevitably comes and the few days of its warm reign are over. And just like this short-lived summer period, the Indians got tricked by their conquerors too. Thus the term, "Indian Summer".And Thank You MIT for these wonderful videos. Keep up the great work!!Great Profs teaching in a great way!####[['MIT', 'Other', 'POS'], ['Profs', 'Instructor', 'POS'], ['videos', 'Course_General_Feedback', 'POS']] | |
| Really helpful, this whole lecture is like a beautiful artwork.####[['lecture', 'Course_General_Feedback', 'POS']] | |
| I just started loving physics after seeing your lecture####[['lecture', 'Course_General_Feedback', 'POS']] | |
| 16:16 If delw.V is zero because w is constant on a curve on the same level surface .. then delw . any other vector would be zero be it tangent or not .. because del w is always gonna be zero on the level surface.. isn't it ?####[['delw.V', 'Course_General_Feedback', 'NEU'], ['zero', 'Course_General_Feedback', 'NEU'], ['w', 'Course_General_Feedback', 'NEU']] | |
| Can anyone tell me what was the purpose of giving '0' and '1' to free variables in order? Thank you!####[['free variables', 'Mathematical_Related_Concept', 'NEU']] | |
| Hope I will go to UTK, Thank you professor Strang####[['professor Strang', 'Instructor', 'POS']] | |
| Gilbert Strang and Dennis Auroux are the best teachers I have learnt from and I haven't even attended their class physically, ever ! Thank's a ton MIT for developing a liking for mathematics in me.####[['Gilbert Strang', 'Instructor', 'POS'], ['Dennis Auroux', 'Instructor', 'POS'], ['MIT', 'Other', 'POS']] | |
| I think it's the first I follow a course where the teacher takes 5mn at each class to review and exemplify briefly what was done the last time. This stuff is quite easy as I already saw it in 6.042 for me, but it adds a level of clarity that is just amazing!If any teacher sees this comment: what this guy does is a GREAT idea, borrow it! We can allways spare 5mn in a 1--hour course.####[['teacher', 'Instructor', 'POS']] | |
| i mean why even give the free variables values and not just let them be and solve the equations, for the transpose you would just get x1=-x3 x2=-x3 and x3 as free variable, i guess im missing the point with the identity and swapping the -F but i dont really get why you want to do that instead ...####[[' free variables values a', 'Mathematical_Related_Concept', 'NEU'], ['solve the equatio', 'Mathematical_Related_Concept', 'NEU'], [' x1=-x3 x2=-x3', 'Mathematical_Related_Concept', 'NEU']] | |
| In the proof of the theorem of the convergence monotone , there is the case where f(x)=0 , which is easy to discuss####[['theorem of the convergence monotone', 'Mathematical_Related_Concept', 'NEU'], ['f(x)=0', 'Mathematical_Related_Concept', 'NEU']] | |
| this lecture is so helpful####[['lecture', 'Course_General_Feedback', 'POS']] | |
| thank you MIT, all these linear algebra lectures are very helpful, and Prof. Gilbert Strang teach very wellthank you very much!!:))####[['Prof. Gilbert Strang ', 'Instructor', 'POS']] | |
| Could anyone please help me with this? At about 15'30'', the professor says "vertically simple". Does he mean that the sides of the solid is vertical (all equal to the height)? So the graph of the top is the same as the graph of the bottom? Thank you very much!####[['"vertically simpl', 'Mathematical_Related_Concept', 'NEU']] | |
| I'm literally in awe of what I can understand thanks to Dr. Strang####[['Dr. Strang', 'Instructor', 'POS']] | |
| prof. says A, writes B, means C - while correct answer is D.####[['prof', 'Instructor', 'NEU']] | |
| There seems to be a mistake in the explanation for why pairwise independence does not imply independence ... at [36:30], event C should be that 'our tosses gave different results', rather than 'our tosses gave same results'.After checking the book, and my suspicion is confirmed. See example 1.22 on page 39.####[['explanation', 'Mathematical_Related_Concept', 'NEG']] | |
| He is excited about questions. That's awesome..####[['NULL', 'Instructor', 'POS']] | |
| The akward moment when free knowledge is given and you complain about quality of video####[['free knowledge', 'Course_General_Feedback', 'POS'], ['NULL', 'Other', 'NEG']] | |
| I am absolutely in love with that accent####[['accent', 'Instructor', 'POS']] | |
| I guess that's the problem with highschools, they gave us the formulas when I took calc in my university. Calc shouldn't be about memorizing 40+ formulas, but knowing when and how to use them or at least being able to derive some formulas on your own and understanding why they work.####[['highschools', 'Other', 'NEG']] | |
| i wish the cameraman wouldn't move around so much!####[['NULL', 'Other', 'NEG']] | |
| This is the best introduction to markov chains ever!!!!!!####[['introduction', 'Course_General_Feedback', 'POS']] | |
| Isn't AP Calculus equivalent to this course?####[['course', 'Course_General_Feedback', 'NEU']] | |
| Thanks elotoff to MIT OCW;for interesant information;and to the Teacher####[['MIT OCW', 'Other', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| Brings back some great memories####[['memories', 'Other', 'POS']] | |
| After watching Prof. Strang classes, I have decided to become a lecturer or a teacher . He is a true definition of passion.####[['Prof. Strang', 'Instructor', 'POS']] | |
| welcome to the future of education, the whole people of the world will learn from internet lectures such as youtube. United States got you covered for all your learning needs####[['lectures', 'Course_General_Feedback', 'POS']] | |
| When he said " It's fantastic to have these beautiful clean boards". I was thinking the same. lol####[['NULL', 'Instructor', 'POS']] | |
| Guys I beg you that you help me out with this lecture.This is the 10th time i'am watching this.I understood only the first 4 steps.####[['lecture', 'Course_General_Feedback', 'NEU']] | |
| I haven't seen matrices since college. This is the absolute best explanation I've aver seen: clear; methodical; complete! I can't wait 'til Monday (Ooh! I don'e have to: there it is!)####[['explanation', 'Course_General_Feedback', 'POS']] | |
| It is a very good series of videos, but it has a caveat. Professor Sipster seems to try to explain in detail without first giving a definite answer....####[['videos', 'Teaching_Setup', 'POS'], ['Professor Sipster', 'Instructor', 'NEU']] | |
| i cant understand why b should be in the different combination col. space in A.could anyone helps me?####[['b', 'Mathematical_Related_Concept', 'NEU'], ['col. space', 'Mathematical_Related_Concept', 'NEU']] | |
| Why didn´t I see this videos in the university?####[['videos', 'Course_General_Feedback', 'NEU'], ['university', 'Other', 'NEU']] | |
| TF?! Why the hell did no one explain the vector origins of determinants to me before??? God damn rote mathematics instruction. All computation and no theory makes a sad mathematician.####[['vector origins of determinants', 'Mathematical_Related_Concept', 'NEG']] | |
| great professor. thank you mit for this classes.####[['professor', 'Instructor', 'POS'], ['classes', 'Course_General_Feedback', 'POS']] | |
| For all of you who made it to this point in this great course I recommend watching this short serie before taking the final reviews. Full of graphics with some good aha moments. https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab####[['course', 'Other', 'POS'], ['moments', 'Other', 'POS']] | |
| A mathematician with Great sense of Humour. Mr. Strang !####[['Mr. Strang', 'Instructor', 'POS']] | |
| yea that is actually a good point. thanks####[['point', 'Course_General_Feedback', 'POS']] | |
| Why are these people so excited? I thought that they are all IMO winners####[['people', 'Other', 'NEU']] | |
| This guy's accent is seriously the best.####[['accent', 'Instructor', 'POS']] | |
| I love how at 23:28, he gives the students that cheeky grin right before doing his erasing trick####[['NULL', 'Instructor', 'POS'], ['cheeky grin', 'Other', 'POS']] | |
| Thank you, professor and all the guys who insist from Lec1 to Lec34.####[['NULL', 'Instructor', 'POS']] | |
| For a second, I'm always surprised that people don't clap at the end of the lecture...####[['lecture', 'Course_General_Feedback', 'POS'], ['people', 'Other', 'NEG']] | |
| Input letters are a and b, then what is the regular expressions no two a's come together (string may be any length) can anyone plz help plz!!!!!!!####[['a', 'Mathematical_Related_Concept', 'NEU'], ['b', 'Mathematical_Related_Concept', 'NEU']] | |
| This guy needs to take an English course.####[['NULL', 'Instructor', 'NEG']] | |
| Such a lovely human being.####[['human being', 'Instructor', 'POS']] | |
| I agree Sprang is great but you could have recognized the golden ratio 1/2(sqrt5 +1) and every mathematician knows this number. It's like being baffled if someone tells you pi equals 3,14159265....####[['Sprang', 'Mathematical_Related_Concept', 'POS']] | |
| so excited to see how easily it's proved. Great.####[['NULL', 'Mathematical_Related_Concept', 'POS']] | |
| they make this stuff all seem so complicated in the way they teach it, its really simple stuff.####[['NULL', 'Instructor', 'NEG'], ['NULL', 'Course_General_Feedback', 'NEG']] | |
| @[USERNAME]dude that wasnt unexpected, it was an extreme moment, the board could have cut his hand off !####[['the board', 'Other', 'NEG']] | |
| Dr. Stranglove or "How I Learned to Stop Worrying and Love Numerical Linear Algebra"####[['Dr. Strang', 'Instructor', 'POS']] | |
| It's just a helpful way to think about it, as we can see when he talks about inverses.####[['NULL', 'Instructor', 'POS']] | |
| Wait, the people at this university already know this stuff right?!because I am learning this in high-school... they can't just be going through it in university at MIT!?!??####[['people', 'Other', 'NEG']] | |
| what is the mean "sines of the eigenvalues"？ Thanks,####[['sines', 'Mathematical_Related_Concept', 'NEU']] | |
| Ok. You can touch the tangient point you find the fourt dimension.....:)####[['fourt dimension', 'Mathematical_Related_Concept', 'NEU']] | |
| To much time wasted writing on Chalkboard. He could have written everything on the boards Before class and then faced the class and explained it. Much time would be saved.####[['NULL', 'Instructor', 'NEG']] | |
| He certainly shows there is a big difference between knowing a subject and knowing how to teach it to others.####[['NULL', 'Instructor', 'NEG']] | |
| how the dimension of M is 9 ??####[['dimension of M', 'Mathematical_Related_Concept', 'NEU']] | |
| Also the most Abstract math seems like.####[['math', 'Other', 'NEU']] | |
| Amazing. This man is a real genius. Thanks MIT.####[['man', 'Instructor', 'POS'], ['NULL', 'Other', 'POS']] | |
| One awesome thing we can do is to skip certain parts if you knew / don't care about them. I wish I could do this in real life with real professors (lol)####[['NULL', 'Teaching_Setup', 'NEU'], ['professors', 'Instructor', 'NEU']] | |
| thanks a lot for the series of videos. i hope MIT will continue to help people understand the mathematical knowledge.####[['videos', 'Course_General_Feedback', 'POS']] | |
| why did people cheer when he wiped the upper blackboards??####[['NULL', 'Instructor', 'NEU']] | |
| The instructor is a genius. Look at his CV.####[['NULL', 'Instructor', 'POS']] | |
| I need the book where this information is####[['book', 'Other', 'NEU']] | |
| okkkkk, cameras are rolling, this is lecture 14. What an intro line!####[['cameras', 'Teaching_Setup', 'NEG']] | |
| why did YouTube recommend this? Mathematics scares me####[['Mathematics', 'Mathematical_Related_Concept', 'NEG']] | |
| I hope I saw this lecture way more earlier! Just amazing and fun! :)####[['lecture', 'Course_General_Feedback', 'POS']] | |
| thanks a lot John Tsitsiklis, you are great professor####[['John Tsitsiklis', 'Instructor', 'POS']] | |
| Love OCW. Figured they would have something for this to self study####[['OCW', 'Other', 'POS']] | |
| I learnt these stuffs when i was 15-16 years old ...... good stuff ...... Maths rock in any age (means stone age till the computer age ).....####[['stuffs', 'Other', 'POS']] | |
| I'd watch these lectures for the fun of it. His Linear algebra lectures were amazing.####[['Linear algebra lectures', 'Course_General_Feedback', 'POS']] | |
| It is the truth, Calculus is very hard for some people but hat does not mean that you have to find it hard.####[['Calculus', 'Mathematical_Related_Concept', 'NEG']] | |
| Seemed sooo difficult in class today......now i understand why they are so good at MIT. Such a great teacher....Make it look easy.####[['class', 'Course_General_Feedback', 'NEU'], ['teacher', 'Instructor', 'POS']] | |
| This kind of lecture is only possible when your deep passion for your work! Huge Thanks, Sir Strang!####[['lecture', 'Course_General_Feedback', 'POS'], ['Sir Strang', 'Instructor', 'POS']] | |
| at 10:00 he says "columns of C are combination of columns of A"I think is might be mistake there.. it should be like "columns of C are combination of rows of A"..if no then please clear my doubt####[['NULL', 'Instructor', 'POS']] | |
| You can tell SVD is Professor Strang's favorite topic. This is the only lecture in 9:4 HD and audio channels upgraded.####[['SVD', 'Mathematical_Related_Concept', 'NEU'], ['Professor Strang', 'Instructor', 'NEU'], ['9:4 HD', 'Teaching_Setup', 'POS'], ['audio channels', 'Teaching_Setup', 'POS'], ['lecture', 'Course_General_Feedback', 'POS']] | |
| This is a masterpiece by DR. Gilbert Strang of MIT. In control engineering, which is part of electrical engineering linear algebra is a must. All students in this field of study, graduate and undergraduate must know linear algebra.####[['DR. Gilbert Strang', 'Instructor', 'POS'], ['MIT', 'Other', 'POS'], ['linear algebra', 'Mathematical_Related_Concept', 'NEU']] | |
| In one word, he cares about his students!####[['NULL', 'Instructor', 'POS']] | |
| Just finished a very important evaluation on Multivariable calculus...wow! I dedicate my fine grade to Denis Auroux...don't know how he does it...but his methods are really impactful!####[['Denis Auroux', 'Instructor', 'POS'], ['Multivariable calculus', 'Mathematical_Related_Concept', 'POS']] | |
| The way he tapping on the board with the chalk is pissing me off.####[['way', 'Teaching_Setup', 'NEG']] | |
| agree!that's what I plan to use in my teacing####[['NULL', 'Mathematical_Related_Concept', 'NEG']] | |
| Thank you so much, Professor Strang!####[['Professor Strang', 'Instructor', 'POS']] | |
| woohoo integration by parts...how exciting...reminds me of the lecture I had a week ago!####[['integration by parts', 'Mathematical_Related_Concept', 'POS']] | |
| Thanks Dr Strang. Really Enjoyed the lectures####[['Dr Strang', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| First time I ever see an explanation on why we have y_general = y_particular + y_homogeneous, which somehow makes everything make sense.####[['y_general = y_particular + y_homogeneous,', 'Mathematical_Related_Concept', 'POS']] | |
| Raise your hand if you are watching it in 2023!####[['NULL', 'Other', 'POS']] | |
| 22:36 : positive semidefinite, not positive definite####[['positive semidefinite', 'Mathematical_Related_Concept', 'NEU'], ['positive definite', 'Mathematical_Related_Concept', 'NEU']] | |
| Most of our memory is used up in notaion only,chopping is required.####[['memory', 'Other', 'NEU']] | |
| After seeing some of these lectures and checking a couple of exams, I think MIT is actually not that difficult. The thing is they do have access to these awesome lectures and they're taught how to think. I'm positively sure that Calculus II and 18.06 are much more difficult in two universities I'm acquainted with than in MIT. However, they're taught how to think at MIT and most good universities just try to explore the limits of difficulty, rather than giving insights into thinking.####[['MIT', 'Other', 'POS']] | |
| Quality Of this Video Content is poor####[['Video Content', 'Course_General_Feedback', 'NEG']] | |
| I'm looking to learn calculus and coming to the end of this video, it seems I'm missing lots of information.What previous math categories should I learn to continue on with calculus?####[['math categories', 'Other', 'NEU']] | |
| Wow all the concepts make so much more sense now. Dr. Strang really is a great teacher!####[['concepts', 'Other', 'POS'], ['Dr. Strang', 'Instructor', 'POS']] | |
| The class is empty, but Gilbert Strang's passion is full...####[['Gilbert Strang', 'Instructor', 'POS']] | |
| around 32 min , it should be 99square not 100sq####[['NULL', 'Mathematical_Related_Concept', 'NEU']] | |
| A very clear spoken professor.I learned a new word. "Bashful" just from the context he used the word in.I assumed Bashful meant shy because he asked the students that were bashful to sit far back.Which indicates the word "shy" as in the term "camera-shy".####[['professor', 'Instructor', 'POS']] | |
| This profesor is nice but I liked Haynes Miller better####[['profesor', 'Instructor', 'NEU'], ['Haynes Miller', 'Instructor', 'POS']] | |
| Poor Recording.. can't hear anything####[['Recording', 'Teaching_Setup', 'NEG']] | |
| 25:49 no sure why a Cauchy sequence is also convergent.####[['Cauchy sequence', 'Mathematical_Related_Concept', 'NEU']] | |
| Great lecture Professor Tsitsiklis, very clear, pretty neat as well as the ones from your TA´s. I am following MIT OpenCourseWare.####[['lecture', 'Course_General_Feedback', 'POS'], ['Professor Tsitsiklis', 'Instructor', 'POS']] | |
| Just to check, so at about 27:38 the phi(k - j) = z? not y?####[['phi(k - j)', 'Mathematical_Related_Concept', 'NEU']] | |
| Thanks for this lesson, e-learning will be the future, we have all theory, advice books in the intro, we have all to study, this e-learning will be helpfull also because many people will be at home and this => minus traffic , so minus caos in the city.####[['lesson', 'Course_General_Feedback', 'POS']] | |
| he came up with a really round about way of saying take the derivative dx/dy.####[['NULL', 'Instructor', 'NEU']] | |
| Quality at its extreme !!! Respect professor strang !!! Hats off to you !!!####[['professor strang', 'Instructor', 'POS']] | |
| 42:45 If A and B have the same four subspaces, then they have the same reduced row echelon form.####[['A', 'Mathematical_Related_Concept', 'NEU'], ['B', 'Mathematical_Related_Concept', 'NEU'], ['subspaces', 'Mathematical_Related_Concept', 'NEU'], ['row echelon form', 'Mathematical_Related_Concept', 'NEU']] | |
| I honestly don't know what I would have done without this course. It has been a real joy listening to Professor Strang. Thank you####[['course', 'Course_General_Feedback', 'POS'], ['Professor Strang.', 'Instructor', 'POS']] | |
| it is so beautiful the way he explains...####[['NULL', 'Instructor', 'POS'], ['NULL', 'Other', 'POS']] | |
| This is his favourite shirt colour, all lectures, except 7th####[[' shirt colour,', 'Other', 'POS'], ['7th', 'Other', 'Neu']] | |
| At 28:50 he says, this is a key fact we deduced from Mean Value Theorem (MVT). I don't see how it is so. Can someone explain?####[['Mean Value Theorem (MVT)', 'Mathematical_Related_Concept', 'NEU']] | |
| this question is asked way too much, maybe it would be easier for mit to just relabel lectures (i mean an in class exam dosent really count as a lecture)####[['lectures', 'Course_General_Feedback', 'NEU'], ['mit', 'Other', 'NEU']] | |
| Damn!he draw the lines accurately like a ruler...####[['NULL', 'Instructor', 'POS']] | |
| A mere thanks wouldn't be sufficient!! but still, Thanks a lot MIT !! and Prof. Strang, it clearly shows how beautifully explains the concepts, he really wants students to understand. I respect that ! Thanks alot once again :)####[[' Prof. Strang', 'Instructor', 'POS']] | |
| Thanks so much for sharing those excellent courses!!!!! :) I learned a lot from your open courseware!!####[['courses', 'Course_General_Feedback', 'POS'], ['courseware', 'Other', 'POS']] | |
| Sadly didn't define the vertical --- x --- notation####[['vertical --- x --- notation', 'Mathematical_Related_Concept', 'NEG']] | |
| "You can't raise it from the dead"... How true, how true, prof. Strang :))) Even though there are some in this world that think it's actually possible to raise people from the dead, LoL :)))####[['prof. Strang', 'Instructor', 'NEU']] | |
| I completed the course. Thank you, professor, so much.####[['professor', 'Instructor', 'POS']] | |
| I have been waiting for this since the day I was born ! I shall achieve the Buddhahood once OCW releases the "Functional analysis" series.####[['OCW', 'Other', 'POS'], ['this', 'Course_General_Feedback', 'POS'], ['"Functional analysis" series', 'Course_General_Feedback', 'POS']] | |
| @[USERNAME]LOL same... you from england? Thats where I'm from...####[['Thats', 'Other', 'POS']] | |
| I graduated in IT and Computer science a few years ago, and now when I see MIT courses online I am really impressed with the quality of it.####[['MIT courses', 'Course_General_Feedback', 'POS'], ['IT', 'Other', 'NEU'], ['Computer science', 'Other', 'NEU']] | |
| why i can't watch it?####[['NULL', 'Other', 'NEU']] | |
| Is this course a prerequisite for machine learning?####[['course', 'Other', 'NEU']] | |
| i aspire to be his level in atleast one subject####[['level', 'Other', 'POS']] | |
| An awesome lecture indeed! Studied elementary differential equations at University 40 years ago. About two weeks of lectures to present the same materail. Linear algebra clarifies the process very well. The information relayed here conveys the cumulative effort of my lifetime study and concentration..as a hobby....yet some students will soak this up in minutes...work problems for a couple of weeks and have it down.....Awesome!!!!####[['lecture', 'Course_General_Feedback', 'POS'], ['Linear algebra', 'Mathematical_Related_Concept', 'POS']] | |
| Much better thant our teacher.....####[['teacher', 'Instructor', 'NEG']] | |
| how is the fisher information used in modern machine learning - especially in practice?####[['fisher information', 'Mathematical_Related_Concept', 'NEU'], ['modern machine learning', 'Mathematical_Related_Concept', 'NEU']] | |
| I Really Like The Video Solving Ax = b: Row Reduced Form R. From Your####[['Ax = b', 'Mathematical_Related_Concept', 'POS'], ['Video', 'Teaching_Setup', 'POS']] | |
| In times of Covid, I hope this makes young people realize why older people are so important. Long live Prof Strang.####[['NULL', 'Course_General_Feedback', 'POS'], ['Prof Strang', 'Instructor', 'POS']] | |
| still don't understand however i feel that i need to do some e.g.'s and i'll get there..great lecture regardless####[['lecture', 'Course_General_Feedback', 'POS']] | |
| This lecture is such a jumbled mess.At @13:20 the prof. defines the mystery base e such that d/dx (e^x) = e^x.At @21:34 the prof. states that e is the base of the logarithm. (e is Euler's number)How does he equate the e at @13:20 with the e at @21:34? He assumes that they are the same just because he has used the same letter in both places. There is not explanation as to why the logarithm base 'e' is the same as the mystery base 'e' defined earlier.####[['lecture', 'Course_General_Feedback', 'NEG']] | |
| Thank you very much MIT for these free lectures.####[['MIT', 'Other', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| I wish I was smart enough to understand what the fuck this guy is talking about.####[['NULL', 'Instructor', 'NEU']] | |
| Love MIT, I feel moore conected with them than my own university. You have a place in my hart!####[['MIT', 'Other', 'POS']] | |
| It's getting more and more interesting when differential equations are involved!####[['equations', 'Mathematical_Related_Concept', 'POS']] | |
| Great videos. Explains much better than my prof.####[['videos', 'Course_General_Feedback', 'POS'], ['prof', 'Instructor', 'POS']] | |
| The video on my recommendation .And I cant stop watching . One of my dream university when I was in secondary school.####[['video', 'Course_General_Feedback', 'POS']] | |
| If in calc 1 they introduced the term argmin for the place where the minimum occurred there would be less confusion as students often mistake argmin for the actual min.####[['calc 1', 'Mathematical_Related_Concept', 'NEG'], ['NULL', 'Instructor', 'NEG'], ['NULL', 'Instructor', 'NEG'], ['argmin', 'Mathematical_Related_Concept', 'NEG'], ['actual min', 'Mathematical_Related_Concept', 'NEG']] | |
| Great professor, great lecture although it seems there are no students, great chalk and also great gesture at 20:14! xD####[['lecture', 'Course_General_Feedback', 'POS'], ['professor', 'Instructor', 'POS']] | |
| 13:50 - it is a kind of reverse-engineering proof...####[['reverse-engineering proof', 'Mathematical_Related_Concept', 'NEU']] | |
| "Always ready for questions."I've watched every one of these lectures and I don't think anyone has ever asked a single question. Kind of odd.####[['lectures', 'Course_General_Feedback', 'NEU']] | |
| It is so easy to differentiate I got e^(xarctan(x))[arctan(x)+(x/(1+x^2))] in about 1 minute and this is right because I checked it on Wolfram Alpha and they are only doing it at the end of this degree level unit.I thought USA was good at education.I'm in Year 12 in the UK by the way.####[['e^(xarctan(x))[arctan(x)+(x/(1+x^2))]', 'Mathematical_Related_Concept', 'NEU']] | |
| I can't believe I am hereFirst time I feel passion about learning during my colleage timeI believe people who ever listen to your course will appreciate deeplyThank you! really! Thank you so much!####[['course', 'Course_General_Feedback', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| wish i could become a MIT student one day.####[['student', 'Other', 'POS']] | |
| Are you a wizard? I'm telling the Ministry of Magic!####[['NULL', 'Instructor', 'POS']] | |
| so the goal or purpose of this lecture was to achieve Minimizing _x_ Subject to Ax = b is my assessment accurate?####[['lecture', 'Course_General_Feedback', 'NEU'], ['Minimizing _x_ Subject to Ax = b', 'Mathematical_Related_Concept', 'NEU']] | |
| Sadness is this man getting old...####[['NULL', 'Instructor', 'NEG']] | |
| Looks like a Monte Carlo method, doesn't it?####[['Monte Carlo method', 'Mathematical_Related_Concept', 'NEU']] | |
| He is slow but packs a punch all the way to the end of the lecture.####[['NULL', 'Instructor', 'POS'], ['lecture', 'Course_General_Feedback', 'POS']] | |
| I have a question about the last integral. About that last part. Can we manipulate the answer by log rules i.e. subtract ln2 from the answer as it's a constant and then write a new constant?####[['last integral.', 'Mathematical_Related_Concept', 'NEU']] | |
| Thks for the lecture. But surprise to see you are still using blackboard and chalks in the states####[['lecture', 'Course_General_Feedback', 'POS'], ['blackboard and chalks', 'Teaching_Setup', 'NEU']] | |
| Thanks from bottom of heart, Prof Strang!####[['Prof Strang', 'Instructor', 'POS']] | |
| i learned linear regression in a statistical lecture, but i think the linear algebra way of doing it is nicer and neater.####[['linear algebra', 'Mathematical_Related_Concept', 'POS']] | |
| I love Taylor expansions too, but It's really got a dreadful derivation. If I really want to get it, I am going to have to delete my facebook account, youtube account, sell my laptop and everything else I have except study tools and lock myself up with a month's supply bread and butter and isolate myself from everyone for a whole month's break if I am going to master this understanding. Doesn't seem realistic for many of us, but,idk, I might try it. Otherwise, mastery will take a verylong time.####[['Taylor expansions', 'Mathematical_Related_Concept', 'POS'], ['derivation', 'Mathematical_Related_Concept', 'NEG']] | |
| Thanks a lot for the best math classes####[['classes', 'Course_General_Feedback', 'POS']] | |
| that has to be the best damn chalk ever####[['chalk', 'Teaching_Setup', 'POS']] | |
| In India it is a compulsory question for board exam and my teacher just said the conditions as formulas and then made us practise a lot of problems of this kind. That's it!####[['teacher', 'Instructor', 'NEG']] | |
| You need to crack the calculus textbook first! ..... and if you master vectors you will have earned the right to break out the red bull!####[[' calculus textbook', 'Teaching_Setup', 'POS']] | |
| why is Q times Q transpose not equal to the identity if the matrix is not square ?####[['matrix', 'Mathematical_Related_Concept', 'NEU'], ['Q', 'Mathematical_Related_Concept', 'NEU'], ['identity', 'Mathematical_Related_Concept', 'NEU'], ['Q transpose', 'Mathematical_Related_Concept', 'NEU'], ['square', 'Mathematical_Related_Concept', 'NEU']] | |
| his zeros look like 3eros####[['zeros', 'Other', 'NEU']] | |
| Excuse me, does it mean that the basis of the input space and that of the output space is the same {v1, v2, ..., v8} at 45:25?Then, if this is true, when does change of basis happen?I get confused here, please help me, thanks a lot!####[['input space', 'Mathematical_Related_Concept', 'NEU'], ['output space', 'Mathematical_Related_Concept', 'NEU'], [' {v1, v2, ..., v8', 'Mathematical_Related_Concept', 'NEU'], ['basis', 'Mathematical_Related_Concept', 'NEU']] | |
| Prof Strang is an example that age is no bar for learning####[['Prof Strang', 'Instructor', 'POS']] | |
| Gilbert Strang is too complicated. Simply graph out the lines by the slope and y intercept method and see where they cross if they do.####[['Gilbert Strang', 'Instructor', 'NEG']] | |
| Thank you MIT. Please consider uploading more lecture series in abstract mathematics (e.g. real analysis, complex analysis, abstract algebra, differential geometry, topology, ...) It will be of great help to us!####[['lecture series', 'Teaching_Setup', 'NEU']] | |
| MIT is MIT for a reason. Thank you for open sourcing such wonderful videos.####[['MIT', 'Other', 'POS'], ['videos', 'Course_General_Feedback', 'POS']] | |
| omg I can't believe how people like this course... he is so random & disorganized and pretty much talks his thoughts out. it's hard to follow the logic... some important concepts were covered too fast and non-important talks were so abundant ...####[['course', 'Course_General_Feedback', 'NEG'], ['NULL', 'Instructor', 'NEG']] | |
| Thank you MIT, and can you PLEASE post the names of these wonderful professors so we can thank them by name too?? I go to a small community college and our instructors are wonderful.... but.. not quite like this :) These videos make me feel smart again when I was starting to ask myself "what's wrong with my brain??"####[['professors', 'Instructor', 'POS']] | |
| damn subtitle, my exam is in a couple of days and I need to watch this seriously, but the subtitle just keeps making me giggle ^^haha####[['subtitle', 'Other', 'Neu']] | |
| Beautiful lecture, this one, and the entire series.####[['lecture', 'Course_General_Feedback', 'POS'], ['series', 'Teaching_Setup', 'POS']] | |
| So... I didn't even know what a matrix was until 80 minutes ago... This guy rocks!####[['NULL', 'Instructor', 'POS']] | |
| At 1:11:30 why does he use the biased sample variance and not the unbiased one? Conceptually it doesn't matter?####[['variance', 'Mathematical_Related_Concept', 'NEU'], [' unbiased one', 'Mathematical_Related_Concept', 'NEU']] | |
| I had to pause to figure out how he got the eigenvectors at the end. Plugging in Phi works but it wasn’t until I watched again that I noticed he was pointing to the lambda^2-lambda-1=0 relationship to reveal the vector.####[['eigenvectors', 'Mathematical_Related_Concept', 'NEU']] | |
| These lectures should be stored properly so that whenever aliens do come, they can learn linear algebra the right way.####[['linear algebra', 'Mathematical_Related_Concept', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| So, the eigenvectors of a circular matrix are roots of unity -> Fourier matrix. I've used Fourier Transform and DCT in image processing and found it amazing but mysterious: where did it come from? Now I know. I also never realized convolution is essentially polynomial multiplication... and circular convolution simply applies a modulus to the powers! Mind expanding; thanks Prof Strang!####[[' Prof Strang!', 'Instructor', 'POS'], ['eigenvectors of a circular matrix ', 'Mathematical_Related_Concept', 'POS'], ['Fourier Transform', 'Mathematical_Related_Concept', 'POS'], [' DCT', 'Mathematical_Related_Concept', 'POS'], ['convolution', 'Mathematical_Related_Concept', 'POS'], ['polynomial multiplication', 'Mathematical_Related_Concept', 'POS']] | |
| What a lol this stuff is studied in India in high school (even harder than this)####[['NULL', 'Other', 'NEU']] | |
| Is this what they learn in college in America? ... I learned this last year.. I'm 16 right now.####[['NULL', 'Other', 'NEU']] | |
| I don't understand how some of these students still haven't learned determinants if they're MIT students taking multivariable calculus........####[['students', 'Other', 'NEG']] | |
| it feels great to be getting in on the ground floor of the singularity####[['ground floor of the singularity', 'Mathematical_Related_Concept', 'POS']] | |
| Very thanks MIT for sharing such a knowledge####[['MIT', 'Other', 'POS']] | |
| Thank you, Prof. Strang. You made the world a better place####[['Prof. Strang', 'Instructor', 'POS']] | |
| (1/3)*n^3, magically! hmm! But hey, it makes sense, that is a sum of all (n-x)^2, and as he assumed for all pivots it is a continues variable then the discrete sum of continues variables turns into integral and there you have it, 1/3n^3.####[['(1/3)*n^3', 'Mathematical_Related_Concept', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| Great interview! Thanks for all your lectures####[['interview', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| Thank you Lord that I saw these lectures now. It's a shame that is late, but it happened none the less. God bless you Professor Strang####[['lectures', 'Course_General_Feedback', 'POS'], ['Professor Strang', 'Instructor', 'POS']] | |
| I really appreciate 18.06. It is my first lesson in linear algebra.####[['18.06', 'Other', 'POS']] | |
| Great lecture, Thanks prof. Strang.####[['lecture', 'Teaching_Setup', 'POS'], ['prof. Strang', 'Instructor', 'POS']] | |
| If the rows of a matrix are dependent, does it mean that the columns must be dependent too?####[['rows of a matrix', 'Mathematical_Related_Concept', 'NEU'], ['columns', 'Mathematical_Related_Concept', 'NEU']] | |
| congratulations is a great class of calculus, I admire you so much; and some day I want visit to MIT.See you soonTeacher Jose Luis Benavides CepedaColombia####[['class of calculus', 'Course_General_Feedback', 'POS'], ['MIT', 'Other', 'NEU'], ['NULL', 'Instructor', 'POS']] | |
| What does he actually mean when he says "it's inverse is going to be big" .. he says it 2 times.. when talking about columns in bad condition and nearly singular matrix.. please help . And also, please tell what problems could a "big" inverse cause ?####[['inverse', 'Mathematical_Related_Concept', 'NEU']] | |
| What's the justification for minimizing the square of the distance instead of the distance itself?####[['square of the distance', 'Mathematical_Related_Concept', 'NEG']] | |
| close packing order with density as a function of particle in 3 dimensional space is my forte. nice example####[['close packing order', 'Mathematical_Related_Concept', 'POS']] | |
| This is just amazing how clearly he explains the topics, big thanks to the professor. I wonder which other courses he teaches at MIT that are available in OCW? Also I think the Prof. is an author of the stats book for this course which must be great as well so need to look into getting it!####[['professor', 'Instructor', 'POS'], ['MIT', 'Other', 'POS'], ['stats book', 'Teaching_Setup', 'POS'], ['course', 'Course_General_Feedback', 'POS']] | |
| Do I need to know calculus for this ;(. I will learn that after and watch this again.####[['calculus for this', 'Mathematical_Related_Concept', 'NEG'], ['NULL', 'Other', 'NEU']] | |
| Thanks to the professor for this lessons! In our country there is no way to understand in such an easy way such kind of lessonThank U again, keep uploading####[['professor', 'Instructor', 'POS'], ['country', 'Other', 'NEG'], ['lessons', 'Course_General_Feedback', 'POS']] | |
| I can't continue the course anymore, the last 30 minutes of this lecture seems to be way too much for me. *after trying to understand the first 15 minutes of his last 30 minutes for an hour and I'm still confused. Appreciate your work Professor Strang. It's a great experience learning from you. Got this lecture bookmarked, I'll return to it one day####[['course', 'Teaching_Setup', 'NEU'], ['Professor Strang', 'Instructor', 'POS']] | |
| There is a difference of concepts between Lec1 and Lec2. Does anyone else feel the difference####[['Lec1', 'Course_General_Feedback', 'NEU'], ['Lec2', 'Course_General_Feedback', 'NEU']] | |
| Why can't we solve 4 equations with 3 unknowns again? Considering people are still watching this in 2k18####[['equations', 'Mathematical_Related_Concept', 'NEU']] | |
| Dose anyone know in which lecture he talked about Jacobian or Hessian matrix####[['lecture', 'Course_General_Feedback', 'NEU']] | |
| Prof. G. S. is awesome####[['Prof. G. S.', 'Instructor', 'POS']] | |
| This is the moment in time where I have to say thank you! In my opinion this lecture connects everything that happend until now beautifully and builds the foundation for solving most advanced engineering problems.####[['lecture', 'Course_General_Feedback', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| Did he ever define what a limit is ? where ?####[['NULL', 'Instructor', 'NEG']] | |
| Thanks for sharing it with us! I found it very useful! Amazing explanation####[['explanation', 'Other', 'POS']] | |
| DR. Strang thank you for a another awesome lecture on Multiplying and Factoring Matrices in linear algebra. I really enjoy this part of linear algebra.####[['DR. Strang', 'Instructor', 'POS'], ['lecture', 'Course_General_Feedback', 'POS'], ['Multiplying and Factoring Matrices', 'Mathematical_Related_Concept', 'POS']] | |
| This class was going so fast up until this lecture when it started crawling####[['class', 'Course_General_Feedback', 'NEU']] | |
| Thank you very much professor, l love you####[['professor', 'Instructor', 'POS']] | |
| whoooo!!, just lost in the wild. I have to watch it again.####[['NULL', 'Course_General_Feedback', 'NEU']] | |
| It is too easy ,in fact !####[['NULL', 'Mathematical_Related_Concept', 'NEU']] | |
| Takes me back to my student days to experience that brilliance of the art of Mathematics! The way teaching was meant to be. The difference now being the "enjoyable aspect" of Professor Strang's obvious devotion to the subject. Brilliantly presented lectures on often abstruse aspects, with an inbuilt system of "creativity and innovation" for students. Surely remarkable.####[['Mathematics', 'Course_General_Feedback', 'POS'], ['Professor Strang', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| I learned this when I was 16-17 in school...dissapointing.####[['NULL', 'Course_General_Feedback', 'NEG']] | |
| Fantastic, excellent lecture thank you.####[['lecture', 'Course_General_Feedback', 'POS'], ['NULL', 'Other', 'POS']] | |
| "Maybe I wanted you to figure out yourself " He is funny####[['NULL', 'Instructor', 'POS']] | |
| @[USERNAME]Both, but He was Only Evaluating for the Component for Special.####[['He', 'Instructor', 'NEG']] | |
| thanks Gilbert. I am watching the lectures and learning a lot.####[['Gilbert', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| The black board trick never gets old...XD####[['black board trick', 'Other', 'POS']] | |
| Now 549,213 people had attended your lecture, Mr.Strang####[['Mr.Strang', 'Instructor', 'POS']] | |
| Is this the last lecture of the series? (Not like I’m gonna get a response lol)####[['lecture of the series', 'Course_General_Feedback', 'NEU']] | |
| Now all the learners of this course know what happened about Monica LOL. I think at the end of 2010s many of unis students do not know these 1990s things.####[['Monica', 'Other', 'NEG']] | |
| We lived so long and we skipped the proof 39:40!!!!!!!####[['proof', 'Mathematical_Related_Concept', 'NEU']] | |
| I had horrible experiences with learning math in elementary school and since then, I've had a negative predisposition to it. This playlist is reversing that predisposition.####[['playlist', 'Course_General_Feedback', 'POS'], ['math', 'Course_General_Feedback', 'NEU']] | |
| how can i find rank of a matrix ?####[['rank of a matrix', 'Mathematical_Related_Concept', 'NEU']] | |
| There's the great tie again####[['tie', 'Other', 'POS']] | |
| Is it just me who hears poof everytime he says proof####[['NULL', 'Instructor', 'NEG']] | |
| This Lection was in 2007! here in 2022 i read in the back o tshirt of school boy "CORONA" (24:31) hahah What a prophet he is.... ahead of his time!####[['NULL', 'Instructor', 'POS']] | |
| I didn't understand it until I saw the chains.####[['NULL', 'Other', 'NEG']] | |
| thanks OCW :) for this wonderful series !!####[['series', 'Course_General_Feedback', 'POS'], ['OCW', 'Other', 'POS']] | |
| I WOULD LIKE TO THANK HIM FOR HIS CALCULS ON THE WEB.####[['HIM', 'Instructor', 'POS']] | |
| I wish he was doing my math review in Physics, my prof is terrible and I have to pass####[['NULL', 'Instructor', 'POS'], ['prof', 'Instructor', 'NEG']] | |
| What if a number of pivots columns is not equal to a number of free columns - how can you build the matrix N in this case?####[['pivots columns', 'Mathematical_Related_Concept', 'NEU'], ['free columns', 'Mathematical_Related_Concept', 'NEU'], ['matrix N', 'Mathematical_Related_Concept', 'NEU']] | |
| I love this lectures. I refresh my math knowledge with them. Thank you!####[['lectures', 'Course_General_Feedback', 'POS']] | |
| I wasn't just talking about this lecture....I was talking about their practice exams involving the gradients and tangent line equations you build about 1/2 way thru multvariable calculus. MIT is a great school, that teaches you what you need to know for your future. However, I think it is not where you go to college but rather what you do at the college you go to.####[['MIT', 'Other', 'POS']] | |
| is it worth for iitjee exams. coz I care about clearing my concepts?####[['NULL', 'Other', 'NEU']] | |
| that -2 at 9:00 killed me :(####[['-2 at 9:00', 'Mathematical_Related_Concept', 'NEG']] | |
| The lecturer looks like an old version of Nicholas Brody####[['lecturer', 'Course_General_Feedback', 'NEU'], ['Nicholas Brody', 'Other', 'NEU']] | |
| could someone tell me at 33:33 how do we get [1000] for particular solution? im so confused. Thank you so much!####[['[1000]', 'Mathematical_Related_Concept', 'NEU']] | |
| 2:01 Don't run into either one!####[['NULL', 'Other', 'NEG']] | |
| The facilities they provide and professors that they are hire are among the best in the world. Those things are not cheap.They need donations to provide the free education. This, the free education, costs them money to produce and host.Don't also forget that MIT went against the will of the rest of the top universities in being the first one to initially provide this free education. They effectively coerced other top universities to do the same. They are doing for the benefit of society.####[['facilities', 'Teaching_Setup', 'POS'], ['professors', 'Instructor', 'POS'], ['education', 'Course_General_Feedback', 'POS'], ['MIT', 'Course_General_Feedback', 'POS']] | |
| So much comprehensive lecture I've ever seen!!!####[['lecture', 'Course_General_Feedback', 'POS']] | |
| Some student's questions are quite retarded... the lecturer is awesome!####[['questions', 'Other', 'NEG'], ['lecturer', 'Instructor', 'POS']] | |
| What the hell kind of multivariable calculus course is this? thats 3 full lectures on vectors and 1 so far on matrices...####[['multivariable calculus course', 'Course_General_Feedback', 'NEU']] | |
| This is the best explanation of the projection formula that I have ever seen. Prof. Strang not only provides a mathematical basis of the formula by deriving it, but also provides clear intuition and motivation. He also takes the time to go through the simpler case of projecting onto a line first, which allows building up the understanding of the content gradually. What a great lecture!####[['Prof. Strang', 'Instructor', 'POS'], ['explanation', 'Mathematical_Related_Concept', 'POS']] | |
| Excellent class and excellent lecturer, i think that the guys didnt see the basis of linear algebra thats the reason that prof Auroux gave them an introduction of analitic geometry and elemental algebra, there are assignments that in Mexico are elemental at Facultad de Ingenieria UNAM: algebra(real numbers, complex numbers, polynomials, ecuation systems and matrices), analytic geometry (polar curves, curves at space, vectorial algebra, surfaces), linear algebra (vectorial spaces, transformations, change of bases, function dependence; linear combinarions and theorems) obviously differential and integral calculus and finally in elemental maths vectorial calculus(multivariable calculus) that is linked to this, but prof Auroux resumed the basis in 2 hours thats awesome####[['class', 'Course_General_Feedback', 'POS'], ['lecturer', 'Instructor', 'POS']] | |
| Prof. Auroux, Thank you for these wonderful lectures####[['Prof. Auroux', 'Instructor', 'POS'], [' lectures', 'Course_General_Feedback', 'POS']] | |
| at the end he says that the limit is equal "1" so how that equials to e^1 !? doesn't it supposed to be e^0 ?####[['NULL', 'Instructor', 'NEU']] | |
| basis of R^n spans the space of R^n, but at 43:46, the column space is R^3 and we had only 2 linearly independent vectors so how can it create a basis? because with only 2 vectors we cant span R^3.####[['R^n spans', 'Mathematical_Related_Concept', 'NEU'], ['column space', 'Mathematical_Related_Concept', 'NEU'], [' R^3 ', 'Mathematical_Related_Concept', 'NEU'], [' 2 linearly independent vectors ', 'Mathematical_Related_Concept', 'NEU'], ['span R^3.', 'Mathematical_Related_Concept', 'NEU'], [' 2 vectors', 'Mathematical_Related_Concept', 'NEU']] | |
| didn't know that Jimmy Dore taught stats . . .####[['Jimmy Dore', 'Instructor', 'NEU']] | |
| He is such an inspiration####[['NULL', 'Instructor', 'POS']] | |
| I am glad to see you again, Prof.####[['Prof', 'Instructor', 'POS']] | |
| Not a single dislike. This video bring my faith to humanity back.####[['video', 'Other', 'POS']] | |
| My final course in college. Loved statistics and can be used in real life after college. Level of significance 3.14, mode. mean sample population chi square. love it This professor seems really good at teaching and keeping the class fun####[['professor', 'Instructor', 'POS'], ['class', 'Course_General_Feedback', 'POS'], ['statistics', 'Mathematical_Related_Concept', 'NEU'], ['Level of significance', 'Mathematical_Related_Concept', 'NEU'], ['mean sample population chi square', 'Mathematical_Related_Concept', 'NEU'], ['mode', 'Mathematical_Related_Concept', 'NEU']] | |
| so the apple dose fall farther from the tree''s original point ,lol####[['apple dose', 'Other', 'NEU']] | |
| Thanks, teacher , and MIT, it help me a lot to understand Linear Algebra####[[' Linear Algebra', 'Mathematical_Related_Concept', 'POS']] | |
| This is amazingThank you MIT OCW team for all these incredible lectures being posted ... sending respects.. from Delhi, India####[['lectures', 'Course_General_Feedback', 'POS'], ['MIT OCW team', 'Other', 'POS']] | |
| this guy's chill i like him####[['NULL', 'Instructor', 'POS']] | |
| 25:10 it is NOT a toin coss####[['NULL', 'Course_General_Feedback', 'NEU']] | |
| I wish I were as good at *anything* as this guy is at teaching.####[['NULL', 'Instructor', 'POS']] | |
| Thanks MIT. Views of (video 7.)/ Views of (video 1.) is about 10%.####[['MIT', 'Other', 'POS']] | |
| worth spending time to see this wonderful video####[['video', 'Course_General_Feedback', 'POS']] | |
| Honestly I think there should be people moderating the comments section that delete those judgmental comments. The students have rights to learn in a safe environment. Asking “stupid” questions is an integral part of learning as much as making mistakes. It’s just sad to see students swallow their doubts bcs they worry about how they look in front of others.So if you know the answers to the questions, shut up and watch the video without being a judgmental jerk.####[['comments section', 'Teaching_Setup', 'NEG'], ['environment', 'Other', 'POS']] | |
| "Take a breath. Okay the tape won't but the lecturer will " Hilarious :D####[['lecturer', 'Instructor', 'POS'], ['tape', 'Teaching_Setup', 'NEG']] | |
| This guy needs Walter Lewin's chalk to draw those dotted lines####[['NULL', 'Instructor', 'NEU']] | |
| The white noise in the background is the most irritating part of these lectures. Does anyone know a way to denoise these videos? It's so difficult to focus because of this static noise.####[['white noise', 'Teaching_Setup', 'NEG'], ['lectures', 'Course_General_Feedback', 'NEG'], ['videos', 'Course_General_Feedback', 'NEG'], ['noise', 'Teaching_Setup', 'NEG']] | |
| "I ADD! 3 times row one to ... (light speed level quick glance) row two !" This man is the GOAT of linear algebra teaching.####[['NULL', 'Instructor', 'POS']] | |
| 43:25 how did he do that...####[['NULL', 'Instructor', 'NEG']] | |
| Thx MIT! I don't need to go to class anymore!####[['MIT', 'Other', 'POS']] | |
| I LOVE GILBERT STRANG SIR. I am in high school and love his lectures. All this is taught in a boring way in our class...but STRNG SIR maks this topic epic. Now I love linear algebra!! thanks a lot MIT for helping millions like me####[['GILBERT STRANG', 'Instructor', 'POS']] | |
| how do you remember all those formulas? I am impressed.####[['NULL', 'Instructor', 'POS'], ['formulas', 'Mathematical_Related_Concept', 'NEG']] | |
| All matrices matter, no such thing as a good or a bad matrix :P####[['matrices', 'Mathematical_Related_Concept', 'NEU']] | |
| Prof.Strang: "If you can tell me whats in that block , I'm gonna be quiet for the rest of the day" Wow !! This shows his passion. *Hats off* Sir ...####[['Prof.Strang', 'Instructor', 'POS']] | |
| I'm too dumb for MIT, but his lectures are so much simpler and easy to understand than my professor's. #SJSU####[['lectures', 'Course_General_Feedback', 'POS']] | |
| Well done Mr Gilbert, congratulations####[['Mr Gilbert', 'Instructor', 'POS']] | |
| Really, we should say thanks to you, from the bottom of the heart.####[['NULL', 'Instructor', 'POS']] | |
| Anyone know where I can find some practice assignments? Or is there only the textbook? Thanks.####[['practice assignments', 'Other', 'NEU']] | |
| At 42:59, while deciding the height of rectangle in an interval with x varying from 0 to 1, shouldnt we add the height of rectangle above or below the x axis? Why did we subtract?####[['height of rectangle', 'Mathematical_Related_Concept', 'NEU']] | |
| Pretentious. MIT you can do better!####[['MIT', 'Other', 'NEG']] | |
| such a down to earth professor and speaks in such a friendly manner(Y)####[['professor', 'Instructor', 'POS']] | |
| Awesome simplicity. Wish I had him in college####[['NULL', 'Instructor', 'POS']] | |
| he just keeps pushing the boundaries!!it's not that i don't understand but i never thought that u can use such tools this way!####[['NULL', 'Instructor', 'POS']] | |
| I've my linear algebra class early in the morning, and I never make it to the classwas frustrated to catch up all this stuff but watching these videos are helping me so muchSincerely thank professor Strang and this channel!####[['videos', 'Course_General_Feedback', 'POS'], ['professor Strang', 'Instructor', 'POS'], ['channel', 'Course_General_Feedback', 'POS'], ['linear algebra class', 'Other', 'NEG']] | |
| This lecturer is absolutely amazing.####[['lecturer', 'Instructor', 'POS']] | |
| At 10:27 how are we calculating E21( elimination matrix)?####[['E21( elimination matrix)', 'Mathematical_Related_Concept', 'NEU']] | |
| After passing the linear algebra course, i was kind of disappointed no need to see your lecture again . but for data analysis u came again in a HD resolution. So glad to see you professor .####[['professor', 'Instructor', 'POS']] | |
| i'm confused, why are there so many students in this class? aren't most MIT students going in with a bunch of AP courses under their belt. surely, ap calculus is one of them .####[['students', 'Other', 'NEU']] | |
| Thank you professor Strang for the excellent lectures. I think watching all of your lectures on youtube (of course if you are not enrolled at MIT, in that case you could register for 18.06) is THE best way to learn Linear Algebra!I particularly liked the way you explain using examples and always help us have the big picture, even when we are discussing something specific. You're a great teacher!####[['professor Strang', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| I paid a ton of money in college went there every day for several hours and learned nothing. And here i am learning free of cost from the comfort of home from the best professors in the world. Respect and love to professor strang.####[['college', 'Other', 'NEG'], ['professor strang', 'Instructor', 'POS'], ['professors', 'Instructor', 'POS']] | |
| I think the shape of the bowl will change when we add (x^T)b at 17:00 . Am I right???####[['(x^T)b ', 'Mathematical_Related_Concept', 'NEU'], ['bowl', 'Mathematical_Related_Concept', 'NEU']] | |
| what textbook did they use?####[['textbook', 'Teaching_Setup', 'NEU']] | |
| Loved the part when he said 'OK'####[['NULL', 'Other', 'POS']] | |
| he ask ques to audience and answer himself before they gave that and it is interesting point in his lecture . it seem like he teaches himself not the audience .####[['he', 'Instructor', 'POS']] | |
| Thank you very much, sir. I am watching lectures and enjoying them. I have benefited from you because we do not have a teacher in Yemen because of the war situation, so you became my teacher####[['lectures', 'Course_General_Feedback', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| This is maybe the best lecture in the entire course.####[['lecture', 'Course_General_Feedback', 'POS']] | |
| I am watching this lectures, I understand them, but when I go to solve the Psets, seems I dont know shit.... anyone having the same issue with the Psets?####[['Psets', 'Mathematical_Related_Concept', 'NEG']] | |
| Automated motion-tracking is a solution searching a problem. :/####[['Automated motion-tracking', 'Other', 'NEG']] | |
| He has excellent blackboard penmanship.####[['He', 'Instructor', 'POS']] | |
| He is the best teacher i've ever had. How can i get in touch with him? Please!!! Thank you so much.####[['NULL', 'Instructor', 'POS']] | |
| Hi everyone! Is it enough to watch video lectures, or should I read his textbook too? I found only shorten version with several chapters out. Is it critical to read the textbook too?####[['video lectures', 'Other', 'NEU'], ['textbook', 'Other', 'NEU']] | |
| Beta distribution may be bimodal when both parameters are less than 1, and the curve is U shaped. Why they don't use whiteboards but these ugly blackboards?####[['blackboards', 'Teaching_Setup', 'NEG']] | |
| @ 8:47 , shouldn't that be a -5?####[['a -5', 'Mathematical_Related_Concept', 'NEU']] | |
| lol funny I'm just first watching this today and it was posted exactly 7 years ago xDthanks for the video, really helpful! I was struggling with this concept for my current linear algebra 2 course since I took the non-specialist version of linear algebra 1 which didn't really test us on proofs at all. I think I have a better understanding of the four fundamental subspaces now! :)####[['video', 'Course_General_Feedback', 'POS'], [' linear algebra', 'Course_General_Feedback', 'POS']] | |
| I want to tell all math enthusiasts out there to never give up, because maths is difficult for everyone... You can see even mr. Strang says sometimes he gets lost, and he teaches this stuff for years. (I felt this was missing in the comments) btw. *what a living legend!*####[['mr. Strang', 'Instructor', 'POS'], ['maths', 'Mathematical_Related_Concept', 'NEU'], ['NULL', 'Mathematical_Related_Concept', 'NEU']] | |
| What are the Prerequistics for learning this course.Please tell me. I want to learn this and also tell the reference book for it.Please tell me####[['Prerequistics', 'Other', 'NEG']] | |
| Very clear I understood everything Thsnks.####[['NULL', 'Mathematical_Related_Concept', 'POS']] | |
| this guy is my theta^ for the distribution of cool statisticians####[['NULL', 'Instructor', 'POS']] | |
| If a country has teacher like him, that country is bound to prosper...####[['NULL', 'Instructor', 'POS']] | |
| Does the last equation (At*y=f) add any new information? I suppose find y (currents) from C*e would be last step right?####[['(At*y=f)', 'Mathematical_Related_Concept', 'NEU'], ['y', 'Mathematical_Related_Concept', 'NEU'], ['C*e', 'Mathematical_Related_Concept', 'NEU']] | |
| @[USERNAME]it's just the same problem done in a different way... he's setting dA/dx=0 to get the critical point.. just like he did, in the first method he used to solve the problem...####[['NULL', 'Instructor', 'POS'], ['dA/dx=0', 'Mathematical_Related_Concept', 'NEU']] | |
| The lecture was great up until Keppler's second law, then they lost me :(####[['lecture', 'Course_General_Feedback', 'POS'], ["Keppler's second law", 'Mathematical_Related_Concept', 'NEG']] | |
| I have really enjoyed Dr. Jerison's lectures. His sense of humor is wicked.####[['lectures', 'Course_General_Feedback', 'POS'], ['Dr. Jerison', 'Instructor', 'POS']] | |
| Thank you so much, Prof. Strang and MIT for making the linear algebra (straight) and simple.####[['Prof. Strang', 'Instructor', 'POS'], ['MIT', 'Other', 'POS'], ['linear algebra', 'Course_General_Feedback', 'POS']] | |
| This comment section sure has a lot of egos. Math brainiacs feeling the need to show off their mad skillz: humility might do you some good. It's fantastic that this stuff is incredibly easy for you - it isn't for everyone, and proclaiming your genius to the world serves no one, it only comes off as arrogant.If this is below your level - great, go to some higher level videos. In the meantime, show some respect for MIT and appreciation for their work in making good education open to everyone, and some consideration for your fellow students who may have more trouble with this stuff.####[['MIT', 'Other', 'POS'], ['education', 'Course_General_Feedback', 'POS']] | |
| @[USERNAME]Your point? Not everyone has the luxury to have taken or even knew they wanted to take calc or above in high school####[['calc', 'Mathematical_Related_Concept', 'NEU']] | |
| just finished the series. Took about 2 weeks studying part time + 2 weeks full time. Time to start studying 18.02 multivariable.####[['series', 'Course_General_Feedback', 'NEU'], ['multivariable', 'Mathematical_Related_Concept', 'NEG']] | |
| Do you still use chalk and black boards in america?? We stopped using them in England when I was about 8 (i'm now 18). Seems a bit pre-historic. Has you're lecturer never heard of powerpoint? or even just a white board?####[['chalk', 'Teaching_Setup', 'NEU'], ['black boards', 'Teaching_Setup', 'NEU'], ['lecturer', 'Instructor', 'NEU'], ['powerpoint', 'Teaching_Setup', 'NEU'], ['white board', 'Teaching_Setup', 'NEU']] | |
| @[USERNAME]Right, b/c I'm sure most of this stuff is dopily obvious to him but he's trying to explain in step-by-step still.####[['NULL', 'Instructor', 'POS']] | |
| his neatness makes me smile####[['neatness', 'Other', 'POS']] | |
| Thank you Professor Strang and MIT. This is fun and great! It boils everything down to the fundamentals. Best you can get!####[['Professor Strang', 'Instructor', 'POS'], ['MIT', 'Other', 'POS']] | |
| do matricies span a space if they do how ?####[['matricies', 'Mathematical_Related_Concept', 'NEU'], ['space', 'Mathematical_Related_Concept', 'NEU'], ['span', 'Mathematical_Related_Concept', 'NEU']] | |
| I WANT TO KNOW ALL THE MATH IN THE UNIVERSE!####[['MATH', 'Mathematical_Related_Concept', 'NEU']] | |
| I didn't know about Markov matrices, they are very interesting. So all n x n matrices with each entry equal to 1/n are Markov matrices, with eigenvalues 0 and 1 (1 because they are Markov matrices, 0 because their rank is equal to 1).####[['Markov matrices', 'Mathematical_Related_Concept', 'POS']] | |
| he explains it well, shame i haven't picked on him earlier####[['NULL', 'Instructor', 'POS']] | |
| LOL.. I wonder if he brought the chain especially for explaining why that derivative called a chain derivative ! It was a wrong explanation anyway!####[['chain derivative', 'Mathematical_Related_Concept', 'NEG'], ['NULL', 'Instructor', 'NEG'], ['derivative', 'Mathematical_Related_Concept', 'NEG']] | |
| Thanks dear Sir, love you. You are like God for us####[['Sir', 'Instructor', 'POS']] | |
| How did he get the equation at 23:01 ?I don't understand .Did he differentiate with respect to ds, or what?Please help.####[['equation', 'Mathematical_Related_Concept', 'NEU'], ['ds', 'Mathematical_Related_Concept', 'NEU']] | |
| This is not teaching. This is just copying the textbook to the blackboard and reciting the textbook text. A real teacher would give concrete examples which showed with integers how these functions worked.####[['NULL', 'Course_General_Feedback', 'NEG'], ['integers', 'Mathematical_Related_Concept', 'NEU'], ['functions', 'Mathematical_Related_Concept', 'NEU'], ['teacher', 'Instructor', 'NEU']] | |
| Man he sure looks old####[['NULL', 'Instructor', 'NEU']] | |
| such great lecturing makes me wonder what part of MIT student success is due to innate ability and how much due to superior teaching####[['lecturing', 'Course_General_Feedback', 'POS']] | |
| I hope the person controling the camera could have shown the 2 or 3 boards the professor were talking about, not just simply chasing the professor .....####[['person controling the camera', 'Other', 'NEG'], ['boards', 'Teaching_Setup', 'NEG']] | |
| beside math, I love taekwondo as well. Can I join the tournament at 30.48 ? hahahaha####[['taekwondo', 'Other', 'POS'], ['taekwondo', 'Other', 'POS']] | |
| @[USERNAME]. How does the professor conclude that variance is 1 if the random variable is divided by standard deviation?####[['variance', 'Mathematical_Related_Concept', 'NEU'], ['professor', 'Instructor', 'NEU'], ['random variable', 'Mathematical_Related_Concept', 'NEU'], ['standard deviation', 'Mathematical_Related_Concept', 'NEU']] | |
| What interesting lecture is this. you showed how maths is a pillars of statistics. during the lecture I think of the assumptions of least square estimation. it comes from maths (like the independency assumption). great work. God bless you prof.####[['lecture', 'Course_General_Feedback', 'POS'], ['prof', 'Instructor', 'POS']] | |
| Professor Strang was my advisor at MIT. For me he was a lifeline that helped me get through the very difficult process of learning to become who I wanted to be.####[['Professor Strang', 'Instructor', 'POS']] | |
| Really enjoyed this course -- thanks!####[['course', 'Course_General_Feedback', 'POS']] | |
| Without that lecture gallery and blackboards, it doesn't feel like MIT.####[['lecture gallery and blackboards', 'Course_General_Feedback', 'POS']] | |
| Now I regret not watching all of his videos although I knew they were available and great videos!####[['videos', 'Course_General_Feedback', 'POS']] | |
| that was some really badly cleaned blackboard at the 0:33####[['blackboard', 'Teaching_Setup', 'NEG']] | |
| Ive watched all lectures in 18.06 and it's a shock to me how old Srang has grown. I pray that we can keep him forever. Please god, never take him from us.####[['lectures in 18.06', 'Course_General_Feedback', 'POS'], ['Srang', 'Instructor', 'POS']] | |
| He is teaching probability through telling a story instead of saying again the formulas and definitions - what most teachers do.####[['NULL', 'Instructor', 'POS'], ['NULL', 'Instructor', 'NEG']] | |
| :0Why is it not a crime yet to not teach like this in high school?####[['NULL', 'Mathematical_Related_Concept', 'NEU']] | |
| mistake near 28:00 -----> dy/dt = -2t the position function starts as y= -t^2 so derivative should be negative for the dy/dt####[['dy/dt = -2t', 'Mathematical_Related_Concept', 'NEG']] | |
| @[USERNAME]He does the exact same thing at 7:47. You surely passed out some seconds before this :)####[['NULL', 'Other', 'POS']] | |
| I remember when the 4 color was a lived controversy.####[['4 color', 'Mathematical_Related_Concept', 'POS']] | |
| If you want to see some cool expansions of these ideas, check out G. Strang in /watch?v=CgfkEUOFAj0####[['G. Strang', 'Instructor', 'POS']] | |
| This guy is good to a great extent but I like somebody like Eddie Woo who looks for feedback from students and has more of a personality. He should occasionally take questions which he does not. Often times he is looking at the floor.####[['NULL', 'Instructor', 'NEU']] | |
| what's the diference between the first speed (unit speed - condition for "teta" = t) and the next one |velocity vector| ???####[['velocity vector', 'Mathematical_Related_Concept', 'NEU'], ['first speed (unit speed - condition for "teta" = t)', 'Mathematical_Related_Concept', 'NEU']] | |
| Thank you MIT professors. Thank you MIT so much. Such a wonderful job. I really appreciate it.####[['MIT professors', 'Instructor', 'POS'], ['MIT', 'Other', 'POS']] | |
| @[USERNAME]But you know on the other hand in my first Mathematics semester at college we also first went through all the stuff we learned at school. However, like you wrote, it's the MIT and I would expect some knowledge about such basic things in advantage.####[['MIT', 'Other', 'NEU']] | |
| I love him so much I don't believe in God but I prayed for his health####[['NULL', 'Other', 'POS']] | |
| More like dilbert space! Am I right?!####[['dilbert space', 'Mathematical_Related_Concept', 'NEU']] | |
| I indexed this video on MyVindex for quick video referencing between the geometric, analytical interpretations and examples. - http://www.myvindex.co/app.html#/home/iSKiXlzQ . Email me if you're interested in MyVindex at [email protected]####[['video', 'Course_General_Feedback', 'NEU']] | |
| lol, the guy doing the subtitles is really funny (students inaudible response) !!! hahahahah. This lesson is pretty well thought out !! damn i wish i went to mit :(####[['lesson', 'Course_General_Feedback', 'POS'], ['NULL', 'Other', 'NEU']] | |
| hey!my left ear can be smarter too!####[['ear', 'Other', 'POS']] | |
| This just so good to be true, fantastic!!!####[['NULL', 'Other', 'POS']] | |
| @[USERNAME]You be surprised how "perfect" native speaker's grammars are.####[['grammars', 'Instructor', 'NEG']] | |
| do not listen to this in stereo, i thought my left earbud fell out####[['NULL', 'Teaching_Setup', 'NEG'], ['left earbud', 'Other', 'NEG']] | |
| i wish to have a lecture like that in my university..####[['university', 'Other', 'NEG'], ['lecture', 'Course_General_Feedback', 'POS']] | |
| The reason I went from hating math to loving math (especially linear algebra) is Gilbert Strang. What an incredible teacher.####[['Gilbert Strang', 'Instructor', 'POS'], ['linear algebra', 'Mathematical_Related_Concept', 'POS'], ['math', 'Mathematical_Related_Concept', 'POS']] | |
| can anyone please provide the links to the extra videos he said he'll be uploading. Like the Gaussian Distribution one up on stellar. I searched stellar MIT but couldn't find it.####[['NULL', 'Instructor', 'NEU'], ['the Gaussian Distribution', 'Mathematical_Related_Concept', 'NEU']] | |
| Couldn't we have used the chain rule?####[['chain rule', 'Mathematical_Related_Concept', 'NEU']] | |
| It's such an amazing video. He made me know the real meaning of matrices, not just use it to compute####[['video', 'Teaching_Setup', 'POS'], ['NULL', 'Instructor', 'POS'], ['matrices', 'Mathematical_Related_Concept', 'POS']] | |
| This is a lecture of the best of the best quality. Thrilling####[['lecture', 'Course_General_Feedback', 'POS']] | |
| The taste is different with MIT people! You "feel" the science with them! I envy the ones who had the opportunity to sit in these class rooms!####[['MIT people', 'Instructor', 'POS'], ['class rooms', 'Teaching_Setup', 'POS']] | |
| Terrible video. What is an example of a Hilbert space with real numbers in a actual application. This man is just copying lines from a text book but provides no concrete examples that would explain Hilbert. Sad. A waste of time.####[['video', 'Course_General_Feedback', 'NEG'], ['NULL', 'Instructor', 'NEG'], ['Hilbert space', 'Mathematical_Related_Concept', 'NEG'], ['real numbers', 'Mathematical_Related_Concept', 'NEG']] | |
| why at 44:50 do all the linear combinations of col 1 and col 2 create a plane rather than all of R^3?####[['linear combinations', 'Mathematical_Related_Concept', 'NEU']] | |
| that the most convoluted explanation for what "e" is. I now feel like i don't understand it.####[['"e"', 'Mathematical_Related_Concept', 'NEU']] | |
| Being accepted to MIT does not grant superior knowledge. This is a freshman course.####[['MIT', 'Other', 'NEU'], ['course', 'Course_General_Feedback', 'NEU']] | |
| His teaching style seems casual and intuitive. I go to a small public college and the course is much more formal and proof driven. These lectures are a great addition to (as well as a nice break from) formal proofs. Thanks MIT!####[['lectures', 'Course_General_Feedback', 'POS'], ['teaching style', 'Course_General_Feedback', 'POS'], ['course', 'Course_General_Feedback', 'POS']] | |
| this man is a legend####[['NULL', 'Instructor', 'POS']] | |
| Why do the local distant universities that we pay for don't give us a solid understanding of the subject, while the free global videos that are between our hands do? Maybe I should've not registered in the uni in the 1st place...####[['NULL', 'Mathematical_Related_Concept', 'NEG'], ['universities', 'Other', 'NEG']] | |
| I am finally learning the basics of linear algebra.####[['basics of linear algebra', 'Mathematical_Related_Concept', 'NEU']] | |
| anyone know where i can get solutions for this course on the mit ocw website?####[['solutions', 'Teaching_Setup', 'NEU'], ['course', 'Course_General_Feedback', 'NEU'], ['mit ocw website', 'Other', 'NEU']] | |
| two guys at the front bench####[['NULL', 'Instructor', 'NEU']] | |
| Does anyone know to which exact paper by Dr. Jon Kleinberg does Prof Strang refer to towards the end?####[['Prof Strang', 'Instructor', 'NEU'], ['Dr. Jon Kleinberg', 'Instructor', 'NEU']] | |
| 45:50 Wait, isn't that only true for orthoNORMAL matrices? If matrix is just orthogonal, there will be squares of it's vector's lengths on the diagonal.####[['matrices', 'Mathematical_Related_Concept', 'NEU']] | |
| It is mentioned that "phi is known positive value" (16.28 min). I am wondering, if exponential dist. comes under canonical exponential family (or not), where theta = lambda, b(theta) = ln(theta) and phi = -1?####[['exponential dist.', 'Mathematical_Related_Concept', 'NEU']] | |
| Watching final lecture (done with course) 17 sep 2020 Libya. Thank you MIT####[['MIT', 'Course_General_Feedback', 'POS']] | |
| e, one of the most beautiful functions describing the nature should be presented in a way crystal clear and enjoyable by the audience, but shouldn't be this laborious. This is not typical of Prof Jerison.####[['Prof Jerison', 'Instructor', 'NEU']] | |
| It's making me dizzy when camera moves with the movement of professor####[['camera', 'Teaching_Setup', 'NEG'], ['professor', 'Instructor', 'NEG']] | |
| There are two ways of solving for e^xarctanx. Anyone?####[['e^xarctanx', 'Mathematical_Related_Concept', 'NEU']] | |
| Whoa. I just finished his linear algebra course. Didn't realize it was such a while back. Thank you for all your work sir!####[['NULL', 'Instructor', 'POS'], ['linear algebra course', 'Course_General_Feedback', 'POS']] | |
| Is this the same as introduction to statistics for economists???####[['statistics', 'Course_General_Feedback', 'NEU'], ['economists', 'Course_General_Feedback', 'NEU']] | |
| @[USERNAME]why wouldn't you cheer? (o.O) it's just a thing their students have been doing since 18.01, they get bored i guess...####[['students', 'Other', 'NEU']] | |
| When he said this lecture is the Beginning of Real Linear Algebra,I got goose bumps####[['he', 'Instructor', 'NEU'], ['lecture', 'Course_General_Feedback', 'NEU']] | |
| Amazing lecture learned a lot!!####[['lecture', 'Course_General_Feedback', 'POS']] | |
| thank u sir for excellent lecture --pls divide long lecture in to short lectures####[['lecture', 'Course_General_Feedback', 'POS'], [' sir', 'Instructor', 'POS']] | |
| i literally waited years for this video. im going to binge watch this bitch####[['video', 'Course_General_Feedback', 'POS']] | |
| No real proof of the multivariable chain rule: I miss it at 20:27. Does anyone know where to find one on the internet? Thanks.####[['multivariable chain rule', 'Mathematical_Related_Concept', 'NEU']] | |
| It's been over 10 years since I first learned this in high school. Now I think I finally understand the formula for the derivative after this guy lectured for 20 minutes.####[['formula', 'Mathematical_Related_Concept', 'POS'], ['derivative', 'Mathematical_Related_Concept', 'POS'], ['NULL', 'Instructor', 'POS']] | |
| 27:13 I understand you can throw away column 3 because it's the addition of other two columns, but how can you throw away column 1??####[['column 1', 'Mathematical_Related_Concept', 'NEU']] | |
| very sad way to explain polynomial decomposition, I'de rather go with the french way "members identification", its way easier and faster####[['members identification', 'Mathematical_Related_Concept', 'POS'], ['polynomial decomposition', 'Mathematical_Related_Concept', 'NEG']] | |
| Simply excellent this professor is####[['professor', 'Instructor', 'POS']] | |
| anyone can fix the subtitles?####[['subtitles', 'Teaching_Setup', 'NEG']] | |
| I wish there wasn't so much fn data but until we grow up a species we're going to have to learn this shit####[['fn data', 'Mathematical_Related_Concept', 'NEG']] | |
| Thank you!! These lectures are so clarifying and ease to watch!####[['NULL', 'Instructor', 'POS'], ['lectures', 'Course_General_Feedback', 'POS']] | |
| Thank you so much sir, your effort in this age####[['sir', 'Instructor', 'POS']] | |
| Awesome video. Using it to get ahead for fall! Thank you for providing this to the public. In the age of the internet, knowledge is as cheap as the wifi!####[['video', 'Course_General_Feedback', 'POS']] | |