Control

• Scope
• Optimization
• Calculus of Variations
• Hamiltonian Mechanics
• Legendre Transform
• Pontryagin’s
• Video Lectures

• MIT Underactuated Robotics Lecture
• http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-832-underactuated-robotics-spring-2009/
• http://techtv.mit.edu/collections/locomotion:1216/videos/8007-dynamic-walking-2010-andy-ruina-cats-astronauts-trucks-bikes-arrows-and-muscle-smarts-stability-translation-and-rotation
• MIT 6.241 Dynamic Systems & Control
• http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-241-dynamic-systems-control-fall-2003/index.htm
• MIT 6.243J / 2.156J / 16.337J Dynamics of Nonlinear Systems
• http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-243j-dynamics-of-nonlinear-systems-fall-2003/index.htm
• Stanford Linear Dynamic System lecture
• http://www.youtube.com/view_play_list?p=06960BA52D0DB32B
• http://www.stanford.edu/~boyd/ee263/
• Stanford Convex Optimization Lecture
• http://www.stanford.edu/class/ee364a/
• Stanford Classical Mechanics Lecture – Leonard Susskind
• http://www.youtube.com/view_play_list?p=189C0DCE90CB6D81
• http://www.infocobuild.com/education/audio-video-courses/physics/classical-mechanics-stanford.html
• http://www.scribd.com/collections/2631856/Classical-Mechanics-Lecture-Notes-Susskind-Stanford-Fall-2007
• UPenn MEAM620:Robotics – Dr. Vijay Kumar
• https://alliance.seas.upenn.edu/~meam620/wiki/index.php
• Text
• Strogatz, Steven H. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
• Sutton, Richard S., and Andrew G. Barto. Reinforcement Learning: An Introduction.
• Bertsekas, Dimitri P. Dynamic Programming and Optimal Control. 3rd ed. Vols. I and II
• LaValle, Steven M. Planning Algorithms

AI

• Scope
• Probability Theory
• Reinforcement Learning
• NN
• Video Lectures
• Stanford Machine Learning lecture
• http://www.youtube.com/view_play_list?p=A89DCFA6ADACE599
• Stanford Artificial Intelligence
• https://www.ai-class.com
• Text
• Pattern Recognition and Machine learning – Bishop

Maths

• Scope
• Linear Algebra
• Differential Equations
• Laplace / Fourier
• Calculus of Variations
• Video Lecture
• MIT Linear Algebra 18.06 Gilbert Strang
• http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/
• MIT Multivariable Calculus 18.02 Denis Auroux
• http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/
• MIT Differential Equation 18.03 Arthur Mattuck
• http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/
• MIT Computational Science and Engineering 18.085 Gilbert Strang
• http://ocw.mit.edu/courses/mathematics/18-085-computational-science-and-engineering-i-fall-2008/
• MIT Mathematical Methods for Engineers II 18.086 Gilbert Strang
• http://ocw.mit.edu/courses/mathematics/18-086-mathematical-methods-for-engineers-ii-spring-2006/
• Text
• Strang, Gilbert. Computational Science and Engineering
• Strang, Gilbert. Introduction to Applied Mathematics.
• Edward L. Ince, Ordinary Differential Equations
• Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems.
• Tools
• http://math.mit.edu/mathlets/