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24.948 | Linguistic Theory and Second and Third Language Acquisition in Children and Adults | Students read and discuss current linguistic theory, first language acquisition research, and data concerning second and third language acquisition in adults and children. Focuses on development of a theory of second and third language acquisition within current theories of language. Emphasizes syntactic, lexical, and phonological development. Examines ways in which these bodies of data confront theories of language and the mind. When possible, students participate in practica with second and/or third language learners. | true | Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.949 | Language Acquisition I | Lectures, reading, and discussion of current theory and data concerning the psychology and biology of language acquisition. Emphasizes learning of syntax, semantics, and morphology, together with some discussion of phonology, and especially research relating grammatical theory and learnability theory to empirical studies of children. | true | Fall | Graduate | 3-0-6 | 24.952, 24.970, and 24.973 | null | false | false | false | False | False | False |
24.951 | Introduction to Syntax | Introduction to theories of syntax underlying work currently being done within the lexical-functional and government-binding frameworks. Organized into three interrelated parts, each focused upon a particular area of concern: phrase structure; the lexicon; and principles and parameters. Grammatical rules and processes constitute a focus of attention throughout the course that serve to reveal both modular structure of grammar and interaction of grammatical components. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.952 | Advanced Syntax | Problems in constructing an explanatory theory of grammatical representation. Topics drawn from current work on anaphora, casemarking, control, argument structure, Wh- and related constructions. Study of language-particular parameters in the formulation of linguistic universals. | true | Spring | Graduate | 3-0-9 | 24.951 | null | false | false | false | False | False | False |
24.954 | Pragmatics in Linguistic Theory | Formal theories of context-dependency, presupposition, implicature, context-change, focus and topic. Special emphasis on the division of labor between semantics and pragmatics. Applications to the analysis of quantification, definiteness, presupposition projection, conditionals and modality, anaphora, questions and answers. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.955 | More Advanced Syntax | An advanced-level survey of topics in syntax. | true | Spring | Graduate | 3-0-9 | 24.951 and 24.952 | null | false | false | false | False | False | False |
24.956 | Topics in Syntax | The nature of linguistic universals that make it possible for languages to differ and place limits on these differences. Study of selected problem areas show how data from particular languages contribute to the development of a strong theory of universal grammar and how such a theory dictates solutions to traditional problems in the syntax of particular languages. | true | Spring | Graduate | 3-0-9 | 24.951 | null | false | false | false | False | False | False |
24.960 | Syntactic Models | Comparison of different proposed architectures for the syntax module of grammar. Subject traces several themes across a wide variety of approaches, with emphasis on testable differences among models. Models discussed include ancient and medieval proposals, structuralism, early generative grammar, generative semantics, government-binding theory/minimalism, LFG, HPSG, TAG, functionalist perspectives and others. | true | Spring | Graduate | 3-0-9 | 24.951 and 24.952 | null | false | false | false | False | False | False |
24.961 | Introduction to Phonology | First half of a year-long introduction to the phonological component of grammar. Introduces the major research results, questions, and analytic techniques in the field of phonology. Focuses on segmental feature structure and prosodic structure while the sequel (24.962) considers the interfaces of phonology with morphology, syntax, and the lexicon. Students should have basic knowledge of articulatory phonetic description and phonetic transcription. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.962 | Advanced Phonology | Continuation of 24.961. | true | Spring | Graduate | 3-0-9 | 24.961 | null | false | false | false | False | False | False |
24.963 | Linguistic Phonetics | The study of speech sounds: how we produce and perceive them and their acoustic properties. The influence of the production and perception systems on phonological patterns and sound change. Acoustic analysis and experimental techniques. Students taking the graduate version complete different assignments. | true | Fall | Graduate | 3-0-9 | null | null | false | false | false | False | False | False |
24.964 | Topics in Phonology | In-depth study of a topic in current phonological theory. | true | Fall | Graduate | 3-0-9 | 24.961 | null | false | false | false | False | False | False |
24.965 | Morphology | Structure of the lexicon and its function in grammar. Properties of word-formation rules. Problems of selection, productivity, and compositionality. Systems of inflectional categories: case and tense. Phonological aspects of word structure: allomorphy, cyclic phonology, constituent structure, and boundaries. Detailed analysis of languages with complex morphology. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.967 | Topics in Experimental Phonology | Experimental techniques to test predictions drawn from current phonological theory. Includes a survey of experimental methodologies currently in use, an introduction to experimental design and analysis, and critical consideration of how experimental results are used to inform theory. | true | Spring | Graduate | 3-0-9 | 24.961, 24.963, or permission of instructor | null | false | false | false | False | False | False |
24.970 | Introduction to Semantics | Basic issues of form and meaning in formalized and natural languages. Conceptual, logical, and linguistic questions about truth. Reference, modal, and intensional notions. The role of grammar in language use and context-dependency. Ambiguities of structure and meaning, and dimensions of semantic variation in syntax and the lexicon. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.973 | Advanced Semantics | Current work on semantics and questions of logic and meaning for syntactic systems in generative grammar. | true | Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.979 | Topics in Semantics | Seminar on current research in semantics and generative grammar. Topics may vary from year to year. | true | Fall, Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.981 | Topics in Computational Phonology | Exploration of issues in the computational modeling of phonology: finding generalizations in data, formalisms for representing phonological knowledge, modeling grammar acquisition, and testing phonological theories by means of implemented models. Experience using and developing models, including preparing training data, running simulations, and interpreting their results. No background in programming or machine learning is assumed. | true | Spring | Graduate | 3-0-9 | 24.961 or permission of instructor | null | false | false | false | False | False | False |
24.982 | Topics in Computational Linguistics | Exploration of current issues in computational linguistics and their relationship to linguistic theory. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.983 | Methods in Computational Linguistics | Seminar on current models and techniques in computational linguistics. Instruction provided in implementing and using models, including model training, evaluation, and interpretation. No background in programming or machine learning is assumed. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.984[J] | Natural Language and the Computer Representation of Knowledge | Explores the relationship between the computer representation and acquisition of knowledge and the structure of human language, its acquisition, and hypotheses about its differentiating uniqueness. Emphasizes development of analytical skills necessary to judge the computational implications of grammatical formalisms and their role in connecting human intelligence to computational intelligence. Uses concrete examples to illustrate particular computational issues in this area. | true | Spring | Graduate | 3-3-6 | 6.4100 or permission of instructor | 6.8630[J], 9.611[J] | false | false | false | False | False | False |
24.991 | Workshop in Linguistics | An intensive group tutorial/seminar for discussion of research being conducted by participants. No listeners. | true | Fall, Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.993 | Tutorial in Linguistics and Related Fields | Individual or small-group tutorial in which students, under the guidance of a faculty member, explore the interrelations with linguistics of some specified area. | true | Spring | Graduate | rranged | Permission of instructor | null | false | false | false | False | False | False |
24.995 | Linguistics Professional Perspective | Required for linguistics doctoral students to explore and gain professional perspective through industry and academic experiences. Professional perspective options include industry internships, academic internships, or training for academia. For an internship experience, an offer from a company or organization is required prior to enrollment. A written report is required upon completion of the experience. Proposals subject to departmental approval in consultation with advisor. | true | Fall, IAP, Spring, Summer | Graduate | 0-1-0 [P/D/F] | null | null | false | false | false | False | False | False |
24.TAC | Teaching Requirement in Linguistics and Philosophy (New) | For graduate students who are fulfilling an academic teaching requirement in the Department of Linguistics and Philosophy. | true | Fall, Spring | Graduate | rranged [P/D/F] | null | null | false | false | false | False | False | False |
24.THG | Graduate Thesis | Program of research and writing of thesis, to be arranged by the student with supervising committee. | true | Fall, IAP, Spring, Summer | Graduate | rranged | Permission of instructor | null | false | false | false | False | False | False |
24.S93 | Special Seminar: Linguistics | Covers topics not offered in the regular curriculum. Consult department to learn of offerings for a particular term. | true | Spring | Graduate | rranged | null | null | false | false | false | False | False | False |
24.S94 | Special Seminar: Linguistics | Half-term subject that covers topics in linguistics not offered in the regular curriculum. Consult department to learn of offerings for a particular term. | true | Fall | Graduate | 3-0-3 | Permission of instructor | null | false | false | false | False | False | False |
24.S95 | Special Seminar: Linguistics | Graduate subject that covers topics not offered in the regular curriculum. Consult department to learn of offerings for a particular term. | true | Spring | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
24.S96 | Special Seminar: Linguistics | Graduate subject that covers topics not offered in the regular curriculum. Consult department to learn of offerings for a particular term. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
2.00A | Designing for the Future: Earth, Sea, and Space | Student teams formulate and complete space/earth/ocean exploration-based design projects with weekly milestones. Introduces core engineering themes, principles, and modes of thinking. Specialized learning modules enable teams to focus on the knowledge required to complete their projects, such as machine elements, electronics, design process, visualization and communication. Includes exercises in written and oral communication and team building. Examples of projects include surveying a lake for millfoil, from a remote controlled aircraft, and then sending out robotic harvesters to clear the invasive growth; and exploration to search for the evidence of life on a moon of Jupiter, with scientists participating through teleoperation and supervisory control of robots. Enrollment limited; preference to freshmen. | true | Spring | Undergraduate | 3-3-3 | Calculus I (GIR) and Physics I (GIR) | null | false | false | false | False | False | False |
2.00B | Toy Product Design | Provides students with an overview of design for entertainment and play, as well as opportunities in creative product design and community service. Students develop ideas for new toys that serve clients in the community, and work in teams with local sponsors and with experienced mentors on a themed toy design project. Students enhance creativity and experience fundamental aspects of the product development process, including determining customer needs, brainstorming, estimation, sketching, sketch modeling, concept development, design aesthetics, detailed design, and prototyping. Includes written, visual, and oral communication. Enrollment limited; preference to freshmen. | true | Spring | Undergraduate | 3-5-1 | null | null | false | false | false | False | False | False |
2.S00 | Special Subject in Mechanical Engineering | Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. | true | Spring | Undergraduate | rranged | null | null | false | false | false | False | False | False |
2.S01 | Special Subject in Mechanical Engineering | Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. | true | Spring | Undergraduate | rranged | null | null | false | false | false | False | False | False |
2.S02 | Special Subject in Mechanical Engineering | Lecture, seminar, or laboratory subject consisting of material not offered in regularly scheduled subjects. Can be repeated for credit only for completely different subject matter. | true | Spring | Undergraduate | rranged | null | null | false | false | false | False | False | False |
2.00C[J] | Design for Complex Environmental Issues | Working in small teams with real clients, students develop solutions related to the year's Terrascope topic. They have significant autonomy as they follow a full engineering design cycle from client profile through increasingly sophisticated prototypes to final product. Provides opportunities to acquire skills with power tools, workshop practice, design, product testing, and teamwork. Focuses on sustainability and appropriate technology that matches the client's specific situation and constraints. Products are exhibited in the public Bazaar of Ideas and evaluated by an expert panel. Class taught in collaboration with the Edgerton Center, D-Lab, and Beaver Works. Limited to first-year students. Preference given to students who have completed 12.000, but open to students outside Terrascope when space permits. | true | Spring | Undergraduate | 3-2-4 | null | 1.016[J], EC.746[J] | false | false | false | False | False | False |
2.00 | Introduction to Design | Project-based introduction to product development and engineering design. Emphasizes key elements of the design process, including defining design problems, generating ideas, and building solutions. Presents a range of design techniques to help students think about, evaluate, and communicate designs, from sketching to physical prototyping, as well as other types of modeling. Students work both individually and in teams. | true | Fall, Spring | Undergraduate | 2-2-2 | null | null | false | false | false | False | False | False |
2.000 | Explorations in Mechanical Engineering | Broad introduction to the various aspects of mechanical engineering at MIT, including mechanics, design, controls, energy, ocean engineering, bioengineering, and micro/nano engineering through a variety of experiences, including discussions led by faculty, students, and industry experts. Reviews research opportunities and undergraduate major options in Course 2 as well as a variety of career paths pursued by alumni. Subject can count toward the 6-unit discovery-focused credit limit for first year students. | true | Spring | Undergraduate | 2-0-0 [P/D/F] | null | null | false | false | false | False | False | False |
2.001 | Mechanics and Materials I | Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to biomechanics of natural materials and structures. | true | Fall, Spring, Spring | Undergraduate | 4-1-7 | Physics I (GIR); Coreq: 2.087 or 18.03 | null | false | false | true | False | False | False |
2.002 | Mechanics and Materials II | Introduces mechanical behavior of engineering materials, and the use of materials in mechanical design. Emphasizes the fundamentals of mechanical behavior of materials, as well as design with materials. Major topics: elasticity, plasticity, limit analysis, fatigue, fracture, and creep. Materials selection. Laboratory experiments involving projects related to materials in mechanical design. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Spring | Undergraduate | 3-3-6 | Chemistry (GIR) and 2.001 | null | false | false | false | False | False | False |
2.003[J] | Dynamics and Control I | Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. | true | Fall, Spring, Spring | Graduate | 4-1-7 | Physics II (GIR); Coreq: 2.087 or 18.03 | 1.053[J] | false | false | true | False | False | False |
2.004 | Dynamics and Control II | Modeling, analysis, and control of dynamic systems. System modeling: lumped parameter models of mechanical, electrical, and electromechanical systems; interconnection laws; actuators and sensors. Linear systems theory: linear algebra; Laplace transform; transfer functions, time response and frequency response, poles and zeros; block diagrams; solutions via analytical and numerical techniques; stability. Introduction to feedback control: closed-loop response; PID compensation; steady-state characteristics, root-locus design concepts, frequency-domain design concepts. Laboratory experiments and control design projects. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Fall, Spring | Undergraduate | 4-2-6 | Physics II (GIR) and 2.003 | null | false | false | false | False | False | False |
2.005 | Thermal-Fluids Engineering I | Integrated development of the fundamental principles of thermodynamics, fluid mechanics, and heat transfer, with applications. Focuses on the first and second laws of thermodynamics, mass conservation, and momentum conservation, for both closed and open systems. Entropy generation and its influence on the performance of engineering systems. Introduction to dimensionless numbers. Introduction to heat transfer: conduction, convection, and radiation. Steady-state and transient conduction. Finned surfaces. The heat equation and the lumped capacitance model. Coupled and uncoupled fluid models. Hydrostatics. Inviscid flow analysis and Bernoulli equation. Navier-Stokes equation and its solutions. Viscous internal flows, head losses, and turbulence. Introduction to pipe flows and Moody chart. | true | Fall, Spring, Spring | Graduate | 5-0-7 | (Physics II (GIR), 18.03, and (2.086, 6.100B, or 18.06)) or permission of instructor | null | false | false | false | False | False | False |
2.006 | Thermal-Fluids Engineering II | Focuses on the application of the principles of thermodynamics, heat transfer, and fluid mechanics to the design and analysis of engineering systems. Dimensional analysis, similarity, and modeling. Pipe systems: major and minor losses. Laminar and turbulent boundary layers. Boundary layer separation, lift and drag on objects. Heat transfer associated with laminar and turbulent flow of fluids in free and forced convection in channels and over surfaces. Pure substance model. Heat transfer in boiling and condensation. Thermodynamics and fluid mechanics of steady flow components of thermodynamic plants. Heat exchanger design. Power cycles and refrigeration plants. Design of thermodynamic plants. Analyses for alternative energy systems. Multi-mode heat transfer and fluid flow in thermodynamic plants. | true | Fall, Spring | Undergraduate | 5-0-7 | 2.005 | null | false | false | false | False | False | False |
2.007 | Design and Manufacturing I | Develops students' competence and self-confidence as design engineers. Emphasis on the creative design process bolstered by application of physical laws. Instruction on how to complete projects on schedule and within budget. Robustness and manufacturability are emphasized. Subject relies on active learning via a major design-and-build project. Lecture topics include idea generation, estimation, concept selection, visual thinking, computer-aided design (CAD), mechanism design, machine elements, basic electronics, technical communication, and ethics. Lab fee. Limited enrollment. Pre-registration required for lab assignment; special sections by lottery only. | true | Spring, Spring | Graduate | 3-4-5 | 2.001 and 2.670; Coreq: 2.086 | null | false | false | false | False | False | False |
2.008 | Design and Manufacturing II | Integration of design, engineering, and management disciplines and practices for analysis and design of manufacturing enterprises. Emphasis is on the physics and stochastic nature of manufacturing processes and systems, and their effects on quality, rate, cost, and flexibility. Topics include process physics and control, design for manufacturing, and manufacturing systems. Group project requires design and fabrication of parts using mass-production and assembly methods to produce a product in quantity. Six units may be applied to the General Institute Lab Requirement. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Fall, Spring | Undergraduate | 3-3-6 | 2.007; or Coreq: 2.017 and (2.005 or 2.051) | null | false | true | false | False | False | False |
2.009 | The Product Engineering Process | Students develop an understanding of product development phases and experience working in teams to design and construct high-quality product prototypes. Design process learned is placed into a broader development context. Primary goals are to improve ability to reason about design alternatives and apply modeling techniques appropriate for different development phases; understand how to gather and process customer information and transform it into engineering specifications; and use teamwork to resolve the challenges in designing and building a substantive product prototype. Instruction and practice in oral communication provided. Enrollment may be limited due to laboratory capacity; preference to Course 2 seniors. | true | Fall | Undergraduate | 3-3-9 | 2.001, 2.003, (2.005 or 2.051), and (2.00B, 2.670, or 2.678) | null | false | false | false | False | False | False |
2.013 | Engineering Systems Design | Focuses on the design of engineering systems to satisfy stated performance, stability, and/or control requirements. Emphasizes individual initiative, application of fundamental principles, and the compromises inherent in the engineering design process. Culminates in the design of an engineering system, typically a vehicle or other complex system. Includes instruction and practice in written and oral communication through team presentations, design reviews, and written reports. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Fall | Undergraduate | 0-6-6 | (2.001, 2.003, (2.005 or 2.051), and (2.00B, 2.670, or 2.678)) or permission of instructor | null | false | false | false | False | False | False |
2.014 | Engineering Systems Development | Focuses on implementation and operation of engineering systems. Emphasizes system integration and performance verification using methods of experimental inquiry. Students refine their subsystem designs and the fabrication of working prototypes. Includes experimental analysis of subsystem performance and comparison with physical models of performance and with design goals. Component integration into the full system, with detailed analysis and operation of the complete vehicle in the laboratory and in the field. Includes written and oral reports. Students carry out formal reviews of the overall system design. Instruction and practice in oral and written communication provided. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Spring | Undergraduate | 0-6-6 | (2.001, 2.003, (2.005 or 2.051), and (2.00B, 2.670, or 2.678)) or permission of instructor | null | false | false | false | False | False | False |
2.016 | Hydrodynamics | Covers fundamental principles of fluid mechanics and applications to practical ocean engineering problems. Basic geophysical fluid mechanics, including the effects of salinity, temperature, and density; heat balance in the ocean; large scale flows. Hydrostatics. Linear free surface waves, wave forces on floating and submerged structures. Added mass, lift and drag forces on submerged bodies. Includes final project on current research topics in marine hydrodynamics. | true | Fall | Undergraduate | 3-0-9 | 2.005 | null | false | false | false | False | False | False |
2.017[J] | Design of Electromechanical Robotic Systems | Design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Basic statistics, linear systems, Fourier transforms, random processes, spectra and extreme events with applications in design. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Satisfies 6 units of Institute Laboratory credit. Enrollment may be limited due to laboratory capacity. | true | Spring | Undergraduate | 3-3-6 | 2.003, 2.016, and 2.678; Coreq: 2.671 | 1.015[J] | false | true | false | False | False | False |
2.019 | Design of Ocean Systems | Complete cycle of designing an ocean system using computational design tools for the conceptual and preliminary design stages. Team projects assigned, with each student responsible for a specific subsystem. Lectures cover hydrodynamics; structures; power and thermal aspects of ocean vehicles, environment, materials, and construction for ocean use; generation and evaluation of design alternatives. Focus on innovative design concepts chosen from high-speed ships, submersibles, autonomous vehicles, and floating and submerged deep-water offshore platforms. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Enrollment may be limited due to laboratory capacity; preference to Course 2 seniors. | true | Spring | Undergraduate | 3-3-6 | 2.001, 2.003, and (2.005 or 2.016) | null | false | false | false | False | False | False |
2.086 | Numerical Computation for Mechanical Engineers | Covers elementary programming concepts, including variable types, data structures, and flow control. Provides an introduction to linear algebra and probability. Numerical methods relevant to MechE, including approximation (interpolation, least squares, and statistical regression), integration, solution of linear and nonlinear equations, and ordinary differential equations. Presents deterministic and probabilistic approaches. Uses examples from MechE, particularly from robotics, dynamics, and structural analysis. Assignments require MATLAB programming. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Fall, Spring | Undergraduate | 2-2-8 | Calculus II (GIR) and Physics I (GIR); Coreq: 2.087 or 18.03 | null | false | false | true | False | False | False |
2.087 | Engineering Mathematics: Linear Algebra and ODEs | Introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations. Linear systems of equations, existence and uniqueness of solutions, Gaussian elimination. Initial value problems, 1st and 2nd order systems, forward and backward Euler, RK4. Eigenproblems, eigenvalues and eigenvectors, including complex numbers, functions, vectors and matrices. | true | Fall | Undergraduate | 2-0-4 | Calculus II (GIR) and Physics I (GIR) | null | false | false | false | False | False | False |
2.032 | Dynamics | Review of momentum principles. Hamilton's principle and Lagrange's equations. Three-dimensional kinematics and dynamics of rigid bodies. Study of steady motions and small deviations therefrom, gyroscopic effects, causes of instability. Free and forced vibrations of lumped-parameter and continuous systems. Nonlinear oscillations and the phase plane. Nonholonomic systems. Introduction to wave propagation in continuous systems. | true | Fall | Graduate | 4-0-8 | 2.003 | null | false | false | false | False | False | False |
2.033[J] | Nonlinear Dynamics and Turbulence | Reviews theoretical notions of nonlinear dynamics, instabilities, and waves with applications in fluid dynamics. Discusses hydrodynamic instabilities leading to flow destabilization and transition to turbulence. Focuses on physical turbulence and mixing from homogeneous isotropic turbulence. Also covers topics such as rotating and stratified flows as they arise in the environment, wave-turbulence, and point source turbulent flows. Laboratory activities integrate theoretical concepts covered in lectures and problem sets. Students taking graduate version complete additional assignments. | true | Spring | Graduate | 3-2-7 | 1.060A | 1.686[J], 18.358[J] | false | false | false | False | False | False |
2.034[J] | Nonlinear Dynamics and Waves | A unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. Nonlinear free and forced vibrations; nonlinear resonances; self-excited oscillations; lock-in phenomena. Nonlinear dispersive and nondispersive waves; resonant wave interactions; propagation of wave pulses and nonlinear Schrodinger equation. Nonlinear long waves and breaking; theory of characteristics; the Korteweg-de Vries equation; solitons and solitary wave interactions. Stability of shear flows. Some topics and applications may vary from year to year. | true | Spring | Graduate | 3-0-9 | Permission of instructor | 1.685[J], 18.377[J] | false | false | false | False | False | False |
2.036[J] | Nonlinear Dynamics and Chaos | Introduction to the theory of nonlinear dynamical systems with applications from science and engineering. Local and global existence of solutions, dependence on initial data and parameters. Elementary bifurcations, normal forms. Phase plane, limit cycles, relaxation oscillations, Poincare-Bendixson theory. Floquet theory. Poincare maps. Averaging. Near-equilibrium dynamics. Synchronization. Introduction to chaos. Universality. Strange attractors. Lorenz and Rossler systems. Hamiltonian dynamics and KAM theory. Uses MATLAB computing environment. | true | Spring | Graduate | 3-0-9 | 18.03 or 18.032 | 18.385[J] | false | false | false | False | False | False |
2.050[J] | Nonlinear Dynamics: Chaos | Introduction to nonlinear dynamics and chaos in dissipative systems. Forced and parametric oscillators. Phase space. Periodic, quasiperiodic, and aperiodic flows. Sensitivity to initial conditions and strange attractors. Lorenz attractor. Period doubling, intermittency, and quasiperiodicity. Scaling and universality. Analysis of experimental data: Fourier transforms, Poincare sections, fractal dimension, and Lyapunov exponents. Applications to mechanical systems, fluid dynamics, physics, geophysics, and chemistry. See 12.207J/18.354J for Nonlinear Dynamics: Continuum Systems. | true | Fall | Undergraduate | 3-0-9 | Physics II (GIR) and (18.03 or 18.032) | 12.006[J], 18.353[J] | false | false | false | False | False | False |
2.060[J] | Structural Dynamics | Examines response of structures to dynamic excitation: free vibration, harmonic loads, pulses and earthquakes. Covers systems of single- and multiple-degree-of-freedom, up to the continuum limit, by exact and approximate methods. Includes applications to buildings, ships, aircraft and offshore structures. Students taking graduate version complete additional assignments. | true | Fall | Graduate | 3-1-8 | 18.03 or permission of instructor | 1.581[J], 16.221[J] | false | false | false | False | False | False |
2.062[J] | Wave Propagation | Theoretical concepts and analysis of wave problems in science and engineering with examples chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications. Progressive waves, group velocity and dispersion, energy density and transport. Reflection, refraction and transmission of plane waves by an interface. Mode conversion in elastic waves. Rayleigh waves. Waves due to a moving load. Scattering by a two-dimensional obstacle. Reciprocity theorems. Parabolic approximation. Waves on the sea surface. Capillary-gravity waves. Wave resistance. Radiation of surface waves. Internal waves in stratified fluids. Waves in rotating media. Waves in random media. | true | Spring | Graduate | 3-0-9 | 2.003 and 18.075 | 1.138[J], 18.376[J] | false | false | false | False | False | False |
2.065 | Acoustics and Sensing | Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version complete additional assignments. | true | Spring | Undergraduate | 3-0-9 | 2.003, 6.3000, 8.03, or 16.003 | null | false | false | false | False | False | False |
2.066 | Acoustics and Sensing | Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version of the subject complete additional assignments. | true | Spring | Graduate | 3-0-9 | 2.003, 6.3000, 8.03, 16.003, or permission of instructor | null | false | false | false | False | False | False |
2.071 | Mechanics of Solid Materials | Fundamentals of solid mechanics applied to the mechanical behavior of engineering materials. Kinematics of deformation, stress, and balance principles. Isotropic linear elasticity and isotropic linear thermal elasticity. Variational and energy methods. Linear viscoelasticity. Small-strain elastic-plastic deformation. Mechanics of large deformation; nonlinear hyperelastic material behavior. Foundations and methods of deformable-solid mechanics, including relevant applications. Provides base for further study and specialization within solid mechanics, including continuum mechanics, computational mechanics (e.g., finite-element methods), plasticity, fracture mechanics, structural mechanics, and nonlinear behavior of materials. | true | Spring | Graduate | 4-0-8 | 2.002 | null | false | false | false | False | False | False |
2.072 | Mechanics of Continuous Media | Principles and applications of continuum mechanics. Kinematics of deformation. Thermomechanical conservation laws. Stress and strain measures. Constitutive equations including some examples of their microscopic basis. Solution of some basic problems for various materials as relevant in materials science, fluid dynamics, and structural analysis. Inherently nonlinear phenomena in continuum mechanics. Variational principles. | true | Fall | Graduate | 3-0-9 | 2.071 | null | false | false | false | False | False | False |
2.073 | Solid Mechanics: Plasticity and Inelastic Deformation | Physical basis of plastic/inelastic deformation of solids; metals, polymers, granular/rock-like materials. Continuum constitutive models for small and large deformation of elastic-(visco)plastic solids. Analytical and numerical solution of selected boundary value problems. Applications to deformation processing of metals. | true | Fall | Graduate | 3-0-9 | 2.071 | null | false | false | false | False | False | False |
2.074 | Solid Mechanics: Elasticity | Introduction to the theory and applications of nonlinear and linear elasticity. Strain, stress, and stress-strain relations. Several of the following topics: Spherically and cylindrically symmetric problems. Anisotropic material behavior. Piezoelectric materials. Effective properties of composites. Structural mechanics of beams and plates. Energy methods for structures. Two-dimensional problems. Stress concentration at cavities, concentrated loads, cracks, and dislocations. Variational methods and their applications; introduction to the finite element method. Introduction to wave propagation. | true | Fall | Graduate | 3-0-9 | 2.002 and 18.03 | null | false | false | false | False | False | False |
2.075 | Mechanics of Soft Materials | Covers a number of fundamental topics in the emerging field of soft and active materials, including polymer mechanics and physics, poroelasticity, viscoelasticity, and mechanics of electro-magneto-active and other responsive polymers. Lectures, recitations, and experiments elucidate the basic mechanical and thermodynamic principles underlying soft and active materials. Develops an understanding of the fundamental mechanisms for designing soft materials that possess extraordinary properties, such as stretchable, tough, strong, resilient, adhesive and responsive to external stimuli, from molecular to bulk scales. | true | Fall | Graduate | 3-0-9 | null | null | false | false | false | False | False | False |
2.076[J] | Mechanics of Heterogeneous Materials | Mechanical behavior of heterogeneous materials such as thin-film microelectro- mechanical systems (MEMS) materials and advanced filamentary composites, with particular emphasis on laminated structural configurations. Anisotropic and crystallographic elasticity formulations. Structure, properties and mechanics of constituents such as films, substrates, active materials, fibers, and matrices including nano- and micro-scale constituents. Effective properties from constituent properties. Classical laminated plate theory for modeling structural behavior including extrinsic and intrinsic strains and stresses such as environmental effects. Introduction to buckling of plates and nonlinear (deformations) plate theory. Other issues in modeling heterogeneous materials such as fracture/failure of laminated structures. | true | Fall | Graduate | 3-0-9 | 2.002, 3.032, 16.20, or permission of instructor | 16.223[J] | false | false | false | False | False | False |
2.077 | Solid Mechanics: Coupled Theories | Complex problems in solid mechanics for a wide range of applications require a knowledge of the foundational balance laws of mechanics, thermodynamics, and electrodynamics of continua, together with a knowledge of the structure and properties of the materials which are provided by particular constitutive models for the so-called smart-materials, and the materials used in the many applications that involve thermo-, chemo-, electro- and/or magneto-mechanical coupling. Reviews the basic balance laws and the constitutive equations of the classical coupled theories of thermoelasticity and poroelasticity, and provides an introduction to the nonlinear theories of electroelasticity and magnetoelasticity. Examines the governing coupled partial differential equations and suitable boundary conditions. Discusses numerical solutions of the partial differential equations. | true | Fall | Graduate | 3-0-9 | 2.072 | null | false | false | false | False | False | False |
2.080[J] | Structural Mechanics | Applies solid mechanics fundamentals to the analysis of marine, civil, and mechanical structures. Continuum concepts of stress, deformation, constitutive response and boundary conditions are reviewed in selected examples. The principle of virtual work guides mechanics modeling of slender structural components (e.g., beams; shafts; cables, frames; plates; shells), leading to appropriate simplifying assumptions. Introduction to elastic stability. Material limits to stress in design. Variational methods for computational structural mechanics analysis. | true | Fall | Graduate | 4-0-8 | 2.002 | 1.573[J] | false | false | false | False | False | False |
2.081[J] | Plates and Shells: Static and Dynamic Analysis | Stress-strain relations for plate and shell elements. Differential equations of equilibrium. Energy methods and approximate solutions. Bending and buckling of rectangular plates. Post-buckling and ultimate strength of cold formed sections and typical stiffened panels used in aerospace, civil, and mechanical engineering; offshore technology; and ship building. Geometry of curved surfaces. General theory of elastic, axisymmetric shells and their equilibrium equations. Buckling, crushing and bending strength of cylindrical shells with applications. Propagation of 1-D elastic waves in rods, geometrical and material dispersion. Plane, Rayleigh surface, and 3-D waves. 1-D plastic waves. Response of plates and shells to high-intensity loads. Dynamic plasticity and fracture. Application to crashworthiness and impact loading of structures. | true | Spring | Graduate | 3-1-8 | 2.071, 2.080, or permission of instructor | 16.230[J] | false | false | false | False | False | False |
2.082 | Ship Structural Analysis and Design | Design application of analysis developed in 2.081J. Ship longitudinal strength and hull primary stresses. Ship structural design concepts. Design limit states including plate bending, column and panel buckling, panel ultimate strength, and plastic analysis. Matrix stiffness, and introduction to finite element analysis. Computer projects on the structural design of a midship module. | true | Spring | Graduate | 3-0-3 | 2.081 and 2.701 | null | false | false | false | False | False | False |
2.083[J] | Topology Optimization of Structures (New) | Covers free-form topology design of structures using formal optimization methods and mathematical programs, including design of structural systems, mechanisms, and material architectures. Strong emphasis on designing with gradient-based optimizers, finite element methods, and design problems governed by structural mechanics. Incorporates optimization theory and computational mechanics fundamentals, problem formulation, sensitivity analysis; and introduces cutting-edge extensions, including to other and multiple physics. | false | Fall | Graduate | 3-0-9 | null | 1.583[J], 16.215[J] | false | false | false | False | False | False |
2.0911[J] | Computational Design and Fabrication | Introduces computational aspects of computer-aided design and manufacturing. Explores relevant methods in the context of additive manufacturing (e.g., 3D printing). Topics include computer graphics (geometry modeling, solid modeling, procedural modeling), physically-based simulation (kinematics, finite element method), 3D scanning/geometry processing, and an overview of 3D fabrication methods. Exposes students to the latest research in computational fabrication. Students taking the graduate version complete additional assignments. | true | Spring | Undergraduate | 3-0-9 | Calculus II (GIR) and (6.1010 or permission of instructor) | 6.4420[J] | false | false | false | False | False | False |
2.095 | Introduction to Finite Element Methods | Ordinary differential equation boundary value problems: 2nd-order, 4th-order spatial operators, eigenproblems. Partial differential equations for scalar fields: elliptic, parabolic, hyperbolic. Strong statement, weak form, minimization principle. Rayleigh-Ritz, Galerkin projection. Numerical interpolation, integration, differentiation, best-fit. Finite element method for spatial discretization in one and two space dimensions: formulation (linear, quadratic approximation), mesh generation, bases and discrete equations, uniform and adaptive refinement, a priori and a posteriori error estimates, sparse solvers, implementation, testing. Finite difference-finite element methods for mixed initial-boundary value problems; nonlinear problems and Newton iteration; linear elasticity. Applications in heat transfer and structural analysis. Assignments require MATLAB coding. Students taking graduate version complete additional work. | true | Spring | Undergraduate | 3-0-9 | 2.086 or permission of instructor | null | false | false | false | False | False | False |
2.096[J] | Introduction to Modeling and Simulation | Introduction to computational techniques for modeling and simulation of a variety of large and complex engineering, science, and socio-economical systems. Prepares students for practical use and development of computational engineering in their own research and future work. Topics include mathematical formulations (e.g., automatic assembly of constitutive and conservation principles); linear system solvers (sparse and iterative); nonlinear solvers (Newton and homotopy); ordinary, time-periodic and partial differential equation solvers; and model order reduction. Students develop their own models and simulators for self-proposed applications, with an emphasis on creativity, teamwork, and communication. Prior basic linear algebra required and at least one numerical programming language (e.g., MATLAB, Julia, Python, etc.) helpful. | true | Fall | Graduate | 3-6-3 | 18.03 or 18.06 | 6.7300[J], 16.910[J] | false | false | false | False | False | False |
2.097[J] | Numerical Methods for Partial Differential Equations | Covers the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic, and hyperbolic partial differential and integral equations. Topics include mathematical formulations; finite difference, finite volume, finite element, and boundary element discretization methods; and direct and iterative solution techniques. The methodologies described form the foundation for computational approaches to engineering systems involving heat transfer, solid mechanics, fluid dynamics, and electromagnetics. Computer assignments requiring programming. | true | Fall | Graduate | 3-0-9 | 18.03 or 18.06 | 6.7330[J], 16.920[J] | false | false | false | False | False | False |
2.098 | Introduction to Finite Element Methods | Ordinary differential equation boundary value problems: 2nd-order, 4th-order spatial operators; eigenproblems. Partial differential equations for scalar fields: elliptic, parabolic, hyperbolic. Strong statement, weak form, minimization principle. Rayleigh-Ritz, Galerkin projection. Numerical interpolation, integration, differentiation; best-fit. Finite element method for spatial discretization in one and two space dimensions: formulation (linear, quadratic approximation), mesh generation, bases and discrete equations, uniform and adaptive refinement, a priori and a posteriori error estimates, sparse solvers, implementation, testing. Finite difference-finite element methods for mixed initial-boundary value problems; nonlinear problems and Newton iteration; linear elasticity. Applications in heat transfer and structural analysis. Assignments require MATLAB coding. Students taking graduate version complete additional work. | true | Spring | Graduate | 3-0-9 | 2.086 or permission of instructor | null | false | false | false | False | False | False |
2.099[J] | Computational Mechanics of Materials | Formulation of numerical (finite element) methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered includes finite deformation elasticity and inelasticity. Numerical formulation and algorithms include variational formulation and variational constitutive updates; finite element discretization; constrained problems; time discretization and convergence analysis. Strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. The application to real engineering applications and problems in engineering science are stressed throughout. Experience in either C++, C, or Fortran required. | false | Spring | Graduate | 3-0-9 | Permission of instructor | 16.225[J] | false | false | false | False | False | False |
2.110 | Information, Entropy, and Computation | Explores the ultimate limits to communication and computation, with an emphasis on the physical nature of information and information processing. Topics include information and computation, digital signals, codes, and compression. Biological representations of information. Logic circuits, computer architectures, and algorithmic information. Noise, probability, and error correction. The concept of entropy applied to channel capacity and to the second law of thermodynamics. Reversible and irreversible operations and the physics of computation. Quantum computation. | true | Fall | Undergraduate | 3-0-6 | Physics I (GIR) | null | false | false | false | False | False | False |
2.111[J] | Quantum Computation | Provides an introduction to the theory and practice of quantum computation. Topics covered: physics of information processing; quantum algorithms including the factoring algorithm and Grover's search algorithm; quantum error correction; quantum communication and cryptography. Knowledge of quantum mechanics helpful but not required. | true | Fall | Graduate | 3-0-9 | 8.05, 18.06, 18.700, 18.701, or 18.C06 | 6.6410[J], 8.370[J], 18.435[J] | false | false | false | False | False | False |
2.12 | Introduction to Robotics | Cross-disciplinary studies in robot mechanics and intelligence. Emphasizes physical understanding of robot kinematics and dynamics, differential motion and energy method, design and control of robotic arms and mobile robots, and actuators, drives, and transmission. Second half of course focuses on algorithmic thinking and computation, computer vision and perception, planning and control for manipulation, localization and navigation, machine learning for robotics, and human-robot systems. Weekly laboratories include brushless DC motor control, design and fabrication of robotic arms and vehicles, robot vision and navigation, and programming and system integration using Robot Operating System (ROS). Group term project builds intelligent robots for specific applications of interest. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Spring | Undergraduate | 3-2-7 | 2.004 | null | false | false | false | False | False | False |
2.120 | Introduction to Robotics | Cross-disciplinary studies in robot mechanics and intelligence. Emphasizes physical understanding of robot kinematics and dynamics, differential motion and energy method, design and control of robotic arms and mobile robots, and actuators, drives, and transmission. Second half of course focuses on algorithmic thinking and computation, computer vision and perception, planning and control for manipulation, localization and navigation, machine learning for robotics, and human-robot systems. Weekly laboratories include brushless DC motor control, design and fabrication of robotic arms and vehicles, robot vision and navigation, and programming and system integration using Robot Operating System (ROS). Group term project builds intelligent robots for specific applications of interest. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity. | true | Spring | Graduate | 3-2-7 | 2.004 or permission of instructor | null | false | false | false | False | False | False |
2.121 | Stochastic Systems | Response of systems to stochastic excitation with design applications. Linear time-invariant systems, convolution, Fourier and Laplace transforms. Probability and statistics. Discrete and continuous random variables, derived distributions. Stochastic processes, auto-correlation. Stationarity and ergodicity, power spectral density. Systems driven by random functions, Wiener-Khinchine theorem. Sampling and filtering. Short- and long-term statistics, statistics of extremes. Problems from mechanical vibrations and statistical linearization, statistical mechanics, and system prediction/identification. Students taking graduate version complete additional assignments and a short-term project. | true | Spring | Undergraduate | 3-0-9 | None. Coreq: 2.004 | null | false | false | false | False | False | False |
2.122 | Stochastic Systems | Response of systems to stochastic excitation with design applications. Linear time-invariant systems, convolution, Fourier and Laplace transforms. Probability and statistics. Discrete and continuous random variables, derived distributions. Stochastic processes, auto-correlation. Stationarity and ergodicity, power spectral density. Systems driven by random functions, Wiener-Khinchine theorem. Sampling and filtering. Short- and long-term statistics, statistics of extremes. Problems from mechanical vibrations and statistical linearization, statistical mechanics, and system prediction/identification. Students taking graduate version complete additional assignments and a short-term project. | true | Spring | Graduate | 4-0-8 | 2.004 and 2.087 | null | false | false | false | False | False | False |
2.124[J] | Robotics: Science and Systems | Presents concepts, principles, and algorithmic foundations for robots and autonomous vehicles operating in the physical world. Topics include sensing, kinematics and dynamics, state estimation, computer vision, perception, learning, control, motion planning, and embedded system development. Students design and implement advanced algorithms on complex robotic platforms capable of agile autonomous navigation and real-time interaction with the physical word. Students engage in extensive written and oral communication exercises. Enrollment limited. | true | Spring | Undergraduate | 2-6-4 | ((1.00 or 6.100A) and (2.003, 6.1010, 6.1210, or 16.06)) or permission of instructor | 6.4200[J], 16.405[J] | true | false | false | False | False | False |
2.131 | Advanced Instrumentation and Measurement | Provides training in advanced instrumentation and measurement techniques. Topics include system level design, fabrication and evaluation with emphasis on systems involving concepts and technology from mechanics, optics, electronics, chemistry and biology. Simulation, modeling and design software. Use of a wide range of instruments/techniques (e.g., scanning electron microscope, dynamic signal/system analyzer, impedance analyzer, laser interferometer) and fabrication/machining methods (e.g., laser micro-machining, 3D printing, computer controlled turning, and machining centers). Theory and practice of both linear and nonlinear system identification techniques. Lab sessions include instruction and group project work. No final exam. | true | Spring | Graduate | 3-6-3 | Permission of instructor | null | false | false | false | False | False | False |
2.132 | Instrumentation and Measurement: MICA Projects (New) | Engages students in project-based learning by using a wide variety of experimental setups called MICA (Measurement, Instrumentation, Control, and Analysis) Workstations to learn about sensors, actuators, instrumentation, and measurement techniques. Over 50 MICA Workstations allow experiments to be performed on a broad range of phenomena including those found in optics, electronics, acoustics, biology, botany, material science, mechanics, thermal, and fluid systems. Experiments utilize Mathematica Notebooks in which students conduct data analysis and model fitting, and complete homework assignments. The integration of ChatGPT into Mathematica provides help in the learning process. Students also build new Workstations guided by CAD models and develop the Mathematica code to run experiments, perform data analyses, and model parameter estimation. Students taking graduate version build more sophisticated Workstations.. | true | Fall | Undergraduate | 3-6-3 | 2.671 or permission of instructor | null | false | false | false | False | False | False |
2.133 | Instrumentation and Measurement: MICA Projects (New) | Engages students in project-based learning by using a wide variety of experimental setups called MICA (Measurement, Instrumentation, Control, and Analysis) Workstations to learn about sensors, actuators, instrumentation, and measurement techniques. Over 50 MICA Workstations allow experiments to be performed on a broad range of phenomena including those found in optics, electronics, acoustics, biology, botany, material science, mechanics, thermal, and fluid systems. Experiments utilize Mathematica Notebooks in which students conduct data analysis and model fitting, and complete homework assignments. The integration of ChatGPT into Mathematica provides help in the learning process. Students also build new Workstations guided by CAD models and develop the Mathematica code to run experiments, perform data analyses, and model parameter estimation. Students taking graduate version build more sophisticated Workstations. | true | Fall | Graduate | 3-6-3 | Permission of instructor | null | false | false | false | False | False | False |
2.14 | Analysis and Design of Feedback Control Systems | Develops the fundamentals of feedback control using linear transfer function system models. Analysis in time and frequency domains. Design in the s-plane (root locus) and in the frequency domain (loop shaping). Describing functions for stability of certain non-linear systems. Extension to state variable systems and multivariable control with observers. Discrete and digital hybrid systems and use of z-plane design. Extended design case studies and capstone group projects. Students taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity; preference to Course 2 majors and minors. | true | Spring | Undergraduate | 3-3-6 | 2.004 | null | false | false | false | False | False | False |
2.140 | Analysis and Design of Feedback Control Systems | Develops the fundamentals of feedback control using linear transfer function system models. Analysis in time and frequency domains. Design in the s-plane (root locus) and in the frequency domain (loop shaping). Describing functions for stability of certain non-linear systems. Extension to state variable systems and multivariable control with observers. Discrete and digital hybrid systems and use of z-plane design. Extended design case studies and capstone group projects. Student taking graduate version complete additional assignments. Enrollment may be limited due to laboratory capacity. | true | Spring | Graduate | 3-3-6 | 2.004 or permission of instructor | null | false | false | false | False | False | False |
2.141 | Modeling and Simulation of Dynamic Systems | Modeling multidomain engineering systems at a level of detail suitable for design and control system implementation. Network representation, state-space models; multiport energy storage and dissipation, Legendre transforms; nonlinear mechanics, transformation theory, Lagrangian and Hamiltonian forms; Control-relevant properties. Application examples may include electro-mechanical transducers, mechanisms, electronics, fluid and thermal systems, compressible flow, chemical processes, diffusion, and wave transmission. | true | Fall | Graduate | 3-0-9 | Permission of instructor | null | false | false | false | False | False | False |
2.145 | Design of Compliant Mechanisms, Machines and Systems | Design, modeling and integration of compliance into systems that enable performance which is impractical to obtain via rigid mechanisms. Includes multiple strategies (pseudo-rigid body, topology synthesis, freedom and constraint topology) to engineer compliant mechanisms for mechanical systems. Emphasis is placed upon the integration of first principles (math/physics/engineering classes) to optimize kinematics, stiffness, energy storage/release, load capacity, efficiency and integration with actuation/sensing. Synthesize concepts, optimize them via computational models and test prototypes. Prototypes integrate multiple engineering sub-disciplines (e.g. mechanics + dynamics or mechanics + energy) and are drawn from biological systems, prosthetics, energy harvesting, precision instrumentation, robotics, space-based systems and others. Students taking graduate version complete additional assignments. | true | Fall | Undergraduate | 3-3-6 | 2.003 and 2.007 | null | false | false | false | False | False | False |
2.147 | Design of Compliant Mechanisms, Machines and Systems | Design, modeling and integration of compliance into systems that enable performance which is impractical to obtain via rigid mechanisms. Students learn strategies (pseudo-rigid body, topology synthesis, freedom and constraint topology) to engineer compliant mechanisms for mechanical systems. Emphasis is placed upon the integration of first principles (math/physics/engineering classes) to optimize kinematics, stiffness, energy storage/release, load capacity, efficiency and integration with actuation/sensing. Students synthesize concepts, optimize them via computational models and test prototypes. Prototypes integrate multiple engineering sub-disciplines (e.g. mechanics + dynamics or mechanics + energy) and are drawn from biological systems, prosthetics, energy harvesting, precision instrumentation, robotics, space-based systems and others. Students taking graduate version complete additional assignments. | true | Fall | Graduate | 3-3-6 | 2.003 and 2.007 | null | false | false | false | False | False | False |
2.151 | Advanced System Dynamics and Control | Analytical descriptions of state-determined dynamic physical systems; time and frequency domain representations; system characteristics - controllability, observability, stability; linear and nonlinear system responses. Modification of system characteristics using feedback. State observers, Kalman filters. Modeling/performance trade-offs in control system design. Basic optimization tools. Positive systems. Emphasizes applications to physical systems. | true | Fall | Graduate | 4-0-8 | 2.004 and (2.087 or 18.06) | null | false | false | false | False | False | False |
2.152[J] | Nonlinear Control | Introduction to nonlinear control and estimation in physical and biological systems. Nonlinear stability theory, Lyapunov analysis, Barbalat's lemma. Feedback linearization, differential flatness, internal dynamics. Sliding surfaces. Adaptive nonlinear control and estimation. Multiresolution bases, nonlinear system identification. Contraction analysis, differential stability theory. Nonlinear observers. Asynchronous distributed computation and learning. Concurrent synchronization, polyrhythms. Monotone nonlinear systems. Emphasizes application to physical systems (robots, aircraft, spacecraft, underwater vehicles, reaction-diffusion processes, machine vision, oscillators, internet), machine learning, computational neuroscience, and systems biology. Includes term projects. | true | Spring | Graduate | 3-0-9 | 2.151, 6.7100, 16.31, or permission of instructor | 9.110[J] | false | false | false | False | False | False |
2.153 | Adaptive Control and Connections to Machine Learning | Lays the foundation of adaptive control, and investigates its interconnections with machine learning. Explores fundamental principles of adaptive control, including parameter estimation, recursive algorithms, stability properties, and conditions for convergence. Studies their relationship with machine learning, including the minimization of a performance error and fast convergence. Discusses robustness and regularization in both fields. Derives conditions of learning and implications of imperfect learning. Examines the trade-off between stability and learning. Focuses throughout the term on dynamic systems and on problems where real-time control is needed. Uses examples from aerospace, propulsion, automotive, and energy systems to elucidate the underlying concepts. | true | Fall | Graduate | 3-0-9 | 2.151 | null | false | false | false | False | False | False |
2.154 | Maneuvering and Control of Surface and Underwater Vehicles | Maneuvering motions of surface and underwater vehicles. Derivation of equations of motion, hydrodynamic coefficients. Memory effects. Linear and nonlinear forms of the equations of motion. Control surfaces modeling and design. Engine, propulsor, and transmission systems modeling and simulation during maneuvering. Stability of motion. Principles of multivariable automatic control. Optimal control, Kalman filtering, loop transfer recovery. Term project: applications chosen from autopilots for surface vehicles; towing in open seas; remotely operated vehicles. | true | Fall | Graduate | 3-0-9 | 2.22 | null | false | false | false | False | False | False |
2.155 | Artificial Intelligence and Machine Learning for Engineering Design | Machine learning and artificial intelligence techniques in engineering design applications. Emphasizes state-of-the-art machine learning techniques to design new products or systems or solve complex engineering problems. Lectures cover the theoretical and practical aspects of machine learning and optimization methods. Challenge problems, research paper discussions, and interactive in-class activities are used to highlight the unique challenges of machine learning for design applications. A group term project on students' applications of interest. Basic programming and machine learning familiarity are recommended. Students taking graduate version complete additional assignments. | true | Fall | Undergraduate | 3-0-9 | 2.086, 6.100A, or permission of instructor | null | false | false | false | False | False | False |
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