6.254 - Game Theory with Engineering Applications - MIT Lecture Notes

Instructor(s) - Prof. Asu Ozdaglar

MIT Course Number - 6.254

Level - Graduate

This course is an introduction to the fundamentals of game theory and mechanism design. It emphasizes on theoretical foundations, mathematical tools, modeling, and equilibrium notions in different environments.

Lecture files.

LEC #	TOPICS	LECTURE NOTES
1	Introduction	(PDF)
2	Strategic form games	(PDF)
3	Strategic form games: solution concepts	(PDF)
4	Strategic form games: solution concepts Correlated rationalizability	(PDF) (PDF)
5	Existence of a Nash equilibrium	(PDF)
6	Continuous and discontinuous games	(PDF) (PDF)
7	Supermodular games	(PDF)
8	Supermodular and potential games	(PDF)
9	Computation of Nash equilibrium in finite games	(PDF)
10	Evolution and learning in games	(PDF)
11	Learning in games	(PDF)
12	Extensive form games I	(PDF)
13	Extensive form games II	(PDF)
14	Nash bargaining solution	(PDF)
15	Repeated games I	(PDF)
16	Repeated games II	(PDF)
17	Games with incomplete information: Bayesian Nash equilibria	(PDF)
18	Games with incomplete information: Bayesian Nash equilibria and perfect Bayesian equilibria	(PDF)
19	Mechanism design I	(PDF)
20	Mechanism design II	(PDF)
21	Social choice and voting theory	(PDF)

Prof. Asu Ozdaglar, 6.254, Game Theory with Engineering Applications. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 27, 2013). 

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6.832 - Underactuated Robotics - MIT Lecture Notes

Instructor(s) - Prof. Russell Tedrake

MIT Course Number - 6.832

Level - Graduate

Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which involve a loss of instantaneous control authority. Controlling nonlinear systems without complete control authority requires methods that can reason about and exploit the natural dynamics of our machines. This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods.

Course Notes table.

CHAPTERS	TOPICS
Front	Title page, table of contents, and preface (PDF)
1	Fully actuated vs. underactuated systems (PDF)
I. Nonlinear dynamics and control
2	The simple pendulum (PDF)
3	The acrobot and cart-pole (PDF)
4	Manipulation
5	Walking (PDF)
6	Running
7	Flight
8	Model systems with stochasticity
II. Optimal control and motion planning
9	Dynamic programming (PDF)
10	Analytical optimal control with the Hamilton-Jacobi-Bellman sufficiency theorem (PDF)
11	Analytical optimal control with Pontryagin's minimum principle
12	Trajectory optimization (PDF)
13	Feasible motion planning
14	Global policies from local policies
15	Stochastic optimal control
16	Model-free value methods
17	Model-free policy search (PDF)
18	Actor-critic methods
IV. Applications and extensions
19	Learning case studies and course wrap-up
Appendix	A. Robotics preliminaries (PDF) B. Machine learning preliminaries
Back	References (PDF)

Prof. Russell Tedrake, 6.832, Underactuated Robotics. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 27, 2013). 

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6.005 - Elements of Software Construction - MIT Lecture Notes

Instructor(s) : Prof. Robert Miller
MIT Course Number : 6.005
Level: Undergraduate

These lecture notes have been collaboratively authored, with contributions from Saman Amarasinghe, Srini Devadas, Michael Ernst, John Guttag, Daniel Jackson, Rob Miller, Martin Rinard, and Armando Solar-Lezama. Used with permission.

Lecture notes files.

LECTURE NOTES	SUPPORTING FILES
Lecture 1: Static checking (PDF) Addendum: Snapshot diagrams (PDF)	(ZIP) (This ZIP file contains: 1 .java file.)
Lecture 2: Test-first programming (PDF)	(ZIP) (This ZIP file contains: 2 .java files.)
Lecture 3: Specifications (PDF - 1.0MB)	(ZIP) (This ZIP file contains: 2 .java files.)
Lecture 4: State machines (PDF - 1.1MB)	(ZIP) (This ZIP file contains: 5 .java files.)
Lecture 5: Regular expressions and grammars (PDF)	(ZIP) (This ZIP file contains: 10 .java files.)
Lecture 6: Abstract data types (PDF - 1.2MB)	(ZIP) (This ZIP file contains: 8 .java files.)
Lecture 7: Recursive data types (PDF)	(ZIP) (This ZIP file contains: 4 .java files.)
Lecture 8: Interpreters and visitors (PDF - 1.1MB)	(ZIP) (This ZIP file contains: 8 .java files.)
Lecture 9: Review
Lecture 10: Concurrency (PDF)	(ZIP) (This ZIP file contains: 3 .java files.)
Lecture 11: Processes and sockets (PDF)	(ZIP) (This ZIP file contains: 2 .java files.)
Lecture 12: Thread safety (PDF)	(ZIP) (This ZIP file contains: 4 .java files.)
Lecture 13: Synchronization (PDF)	(ZIP) (This ZIP file contains: 19 .java files.)
Lecture 14: Graphical user interfaces (PDF - 1.2MB)	(ZIP) (This ZIP file contains: 4 .java files.) In the beforeclass\hogwarts\gui\images folder, three images (harry.jpg, hermione.jpg, and no-photo.jpg) have been removed due to copyright restrictions.
Lecture 15: Map, filter, reduce (PDF)	(ZIP - 8.9MB) (This ZIP file contains: 12 .class files, 5 .java files, 4 .py files, and 1 .jar file) Jython 2.5.2 © Python Software Foundation. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.
Lecture 16: Little languages (PDF)	(ZIP - 8.9MB) (This ZIP file contains: 17 .java files, 1 .py file, and 1 .jar file.) Jython 2.5.2 © Python Software Foundation. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

Prof. Robert Miller, 6.005, Elements of Software Construction. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 24, 2013). 

License: Creative Commons BY-NC-SA

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6.094 - Introduction to MATLAB - MIT Lecture Notes

Instructor(s) : Danilo Šćepanović

MIT Course Number : 6.094

Level - Undergraduate

Abbreviations

I/O = input/output
GUI = graphical user interface

Lecture notes files.

LEC #	TOPICS	FILES
1	Variables, scripts, and operations	(PDF)
2	Visualization and programming	(PDF)
3	Solving equations and curve fitting	(PDF)
4	Advanced methods	(PDF)
5	Symbolics, Simulink®, file I/O, building GUIs	(PDF)

Danilo Šćepanović, 6.094, Introduction to MATLAB. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 24, 2013). 

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6.013 - Electromagnetics and Applications - MIT Lecture Notes

Instructor(s) : Prof. David Staelin

MIT Course Number : 6.013

Level: Undergraduate

Lecture notes files.

SES #	TOPICS	NOTES
Foundations
L1	Foundations, forces and fields, Gauss's and Ampere's laws (∫) for static fields	(PDF)
L2	Media, boundary conditions	(PDF)
L3	Review vector operators; Maxwell's differential equations (t), E, H, uniform plane wave; sin (ωt)	(PDF)
L4	Poynting theorem derivation (time), UPW example (we, wm, S(t))	(PDF)
Forces, motors, generators, and MEMS
L5	Electric forces on e-beams, C plates, force from ∂w/∂z; generators and sensors	(PDF)
L6	Magnetic pressure, rotary wire and reluctance motors, forces on materials	(PDF)
L7	Static Φ and fields, Laplace's equation, separation of variables (x,y,z); inhomogeneous materials	(PDF)
Waves in media and at boundaries
L8	Electromagnetic fields in media, uniaxial media, quarter-wave plate	(PDF)
L9	Boundary conditions, k•r, phase matching, non-uniform plane wave, Snell's law	(PDF)
L10	TE at planar boundary, TM by duality, Brewster's angle	(PDF)
Limits to computation speed
L11	Device and line delays; TEM parallel-plate line, telegraphers' equation, Zo	(PDF)
L12	Transients: Thevenin equivalents; L, C, diode loads; initial conditions; lossy TEM	(PDF)
RF/microwave guidance and filtering
L13	Architecture, generalized TEM line, Ζ(z), Γ(z), Ζ transformations	(PDF)
L14	RLC resonators, series, parallel, ωo, ∆ω, α, QL, QI, QE, coupling	(PDF)
L15	TEM resonators, we(t), wm(t), Q, ∆ω, examples; |V(z,f)|	(PDF)
L16	TEmn rectangular waveguide, cavity resonators, perturbations	(PDF)
Wireless communications
L17	Conservation of energy, power, G(θ,φ), Ae= Gλ2 /4π, Rr, VTh, RF links	(PDF)
L18	Radiation by current elements, Hertzian dipole, near and far fields; Biot-Savart	(PDF - 1.6MB)
L19	Receiving antennas: VTh in dipoles and loops; d<<λ/2π, G = 4πA/λ2	(PDF)
L20	Aperture antennas, diffraction	(PDF)
Optical communications
L21	Optical fibers, applications, dielectric slab waveguide, fiber design	(PDF)
L22	Lasers	(PDF)
Acoustics
L23	Acoustic waves, boundary conditions, reflections, antennas	(PDF)
L24	Course philosophy, resonator perturbations and speech generation	(PDF)

 

Additional Material :

Brief history of Maxwell's equations (PDF)

Prof. David Staelin, 6.013, Electromagnetics and Applications. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 22, 2013). 

License: Creative Commons BY-NC-SA

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6.011 - Introduction to Communication, Control, and Signal Processing - MIT Lecture Notes

Instructor(s) : Prof. Alan V. Oppenheim, Prof. George Verghese
MIT Course Number : 6.011
Level : Undergraduate

Please note that Chapter 1 is not available on MIT OpenCourseWare.

Course readings.

CHAPTERS	NOTES
Complete course notes	(PDF - 3.2MB)
Table of contents	(PDF)
Chapter 1: Introduction
Chapter 2: Signals and systems	(PDF)
Chapter 3: Transform representation of signals and linear, time-invariant (LTI) systems	(PDF)
Chapter 4: State-space models	(PDF)
Chapter 5: Properties of LTI state-space models	(PDF)
Chapter 6: State observers and state feedback	(PDF)
Chapter 7: Probabilistic models	(PDF)
Chapter 8: Estimation with minimum mean square error	(PDF)
Chapter 9: Random processes	(PDF)
Chapter 10: Power spectral density	(PDF)
Chapter 11: Wiener filtering	(PDF)
Chapter 12: Pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM)	(PDF)
Chapter 13: Hypothesis testing	(PDF)
Chapter 14: Signal detection	(PDF)

Prof. Alan V. Oppenheim, Prof. George Verghese, 6.011, Introduction to Communication, Control, and Signal Processing. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 24, 2013). 

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6.002 - Circuits and Electronics - MIT Lecture Notes

Instructor(s):
Prof. Anant Agarwal

MIT Course Number
6.002

Level
Undergraduate



Course Description
The course introduces the fundamentals of the lumped circuit abstraction. Topics covered include: resistive elements and networks; independent and dependent sources; switches and MOS transistors; digital abstraction; amplifiers; energy storage elements; dynamics of first- and second-order networks; design in the time and frequency domains; and analog and digital circuits and applications. Design and lab exercises are also significant components of the course. 6.002 is worth 4 Engineering Design Points. The 6.002 content was created collaboratively by Profs. Anant Agarwal and Jeffrey H. Lang.

Lecture notes files:

LEC #	TOPICS	LECTURE NOTES
1	Introduction and lumped abstraction	(PDF)
2	Basic circuit analysis method	(PDF)
3	Superposition, Thévenin and Norton	(PDF)
4	The digital abstraction	(PDF)
5	Inside the digital gate	(PDF)
6	Nonlinear analysis	(PDF)
7	Incremental analysis	(PDF)
8	Dependent sources and amplifiers	(PDF)
9	MOSFET amplifier large signal analysis	(PDF)
10	Amplifiers - small signal model	(PDF)
11	Small signal circuits	(PDF)
12	Capacitors and first-order systems	(PDF)
13	Digital circuit speed	(PDF)
14	State and memory	(PDF)
15	Second-order systems	(PDF) (PDF)
16	Sinusoidal steady state	(PDF)
17	The impedance model	(PDF)
18	Filters	(PDF)
19	The operational amplifier abstraction	(PDF)
20	Operational amplifier circuits	(PDF)
21	Op-amps positive feedback	(PDF)
22	Energy and power	(PDF)
23	Energy, CMOS	(PDF)
24	Power conversion circuits and diodes	Unavailable
25	Violating the abstraction barrier	(PDF)

Prof. Anant Agarwal, 6.002, Circuits and Electronics. 

(Massachusetts Institute of Technology: MIT OpenCouseWare), http://ocw.mit.edu (Accessed August 22, 2013). 

License: Creative Commons BY-NC-SA

Our website abides by the Creative Commons BY-NC-SA as set by MIT.

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