18.300 Rodolfo R. Rosales. rrr@math.mit.edu	MIT, Spring 2022.
18.300     Principles of
Continuum Applied Mathematics
Tue and Thu, 9:30-11:00 AM (room 2-131).
Home Page Problem Sets Read. Assign. Syllabus Course Notes Prob. Set Ans. Lectures
NOTES (more may be added later) Conservation Laws in Continuum Modeling Simplest Car Following Traffic Flow Model Numerical solution of pde --- quick preview Stability of Numerical Schemes for PDE's Discrete to continuum modeling Separation of variables Various lecture notes for 18311 (311 = old course number) Convergence of Numerical Schemes, DFT, FFT, and Fourier Series. Various lecture notes for 18311 (311 = old course number) Isentropic Gas Dynamics. ---------------------------------------------------------- Selected Lecture Notes from another course Check Lecture\#2: The inverse and implicit function theorems. ---------------------------------------------------------- Weakly Nonlinear Oscilators Likely this will not be covered. Hopf bifurcations using two timing and complex notation Likely this will not be covered. ---------------------------------------------------------- Notes: von Neumann Stability Analysis Notes: Associated Equation to a Numerical Scheme