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Open Courseware
Einstein’s General Theory of Relativity III
In this lecture, Leonard Susskind continues his discussion of Einstein’s theory of general relativity. He also gives a broad overview of the field of tensor calculus and it’s relation to the curvature and geometry of space-time.
http://www.youtube.com/watch?v=hR7fWF_qBZI -
Open Courseware
Course Introduction and Newtonian Mechanics
Professor Shankar introduces the course and answers student questions about the material and the requirements. He gives an overview of Newtonian mechanics and explains its two components: kinematics and dynamics. He then reviews basic concepts in calculus through two key equations: x0 + v0t + Ã ½ at2 and v2 = v02+ 2 a (x-x0), tracing […]
http://www.youtube.com/watch?v=KOKnWaLiL8w -
Open Courseware
Backward Induction: Commitment, Spies, and First-Mover Advantages
We first apply our big idea–backward induction–to analyze quantity competition between firms when play is sequential, the Stackelberg model. We do this twice: first using intuition and then using calculus. We learn that this game has a first-mover advantage, and that it comes commitment and from information in the game rather than the timing per […]
http://www.youtube.com/watch?v=aIq0E3OmNz4 -
Open Courseware
Principles of Chemical Science, Advanced Track
This is an introductory chemistry course for students with an unusually strong background in chemistry. Knowledge of calculus is recommended. Emphasis is on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. The course also covers applications of basic principles to problems in metal coordination chemistry, organic […]
https://academicearth.org/courses/principles-of-chemical-science-track-2/ -
Open Courseware
Computational Science and Engineering I
This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace’s equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications.
https://academicearth.org/courses/computational-science-and-engineering-i/