User:Egm6322.s09/MIT's OpenCourseWare course(s)

MIT's OpenCourseWare

16.920J / 2.097J / 6.339J Numerical Methods for Partial Differential Equations (SMA 5212) Spring 2003 Lecture notes, Lecture 1: Notes. (classification of PDEs, etc.) Slides

2.062J / 1.138J / 18.376J Wave Propagation Fall 2006 Lecture notes Chap 1: Transverse Vibration of a Taut String, Longitudinal Vibration of an Elastic Rod, Traffic Flow on a Freeway, Wave Propagation in Arteries, Shallow Water Waves and Linearization, Sound in Fluids, Flexural Waves in a Beam on an Elastic Foundation.

2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations Spring 2007 Ref: Abeyaratne, Rohan. Lecture Notes on the Mechanics of Elastic Solids. Vol. 1, A Brief Review of Some Mathematical Preliminaries. Free e-book, 2006. Matrix algebra and tensor algebra, etc.. For eigenvalue problem of symmetric matrices, see Sec.3.3, p.45; right-hand and left-hand orthogonal matrices, p.46; coordinate transformation, Eq.(3.27), etc.

18.305 Advanced Analytic Methods in Science and Engineering Fall 2004 2nd-order PDEs, brief review, not detailed. 1st-order PDEs, method of characteristics. Separation of variables, for additional details, see our lecture notes.

18.306 Advanced Partial Differential Equations with Applications Spring 2004 Closest to what we are doing, with more advanced details.

18.06 Linear Algebra Spring 2005, video lectures by Prof. G. Strang. Good review of linear algebra. Lecture 21, eigenvalues and eigenvectors. Lecture 25, symmetric matrices. etc.