,
"Sand Painting" by Paul Re
Math 316: Applied Ordinary Diferential Equations
Instructor: Evangelos A. Coutsias
Required Text: Differential Equations: An Introduction to Modern Methods and Applications (1st Ed.)
J.R. Brannan and W.E. BoyceRecommended: Ordinary Differential Equations using Matlab Ed.3
Polking & Arnold codesRecommended: Student edition of MATLAB Rel.13
Homework Problems
- syss.m Finds eigenvalues, eigenvectors and coefficients for IVP x' = Ax, x(0) = x0; if possible, it returns eigenvectors with integer components
- ode_solver.m Sample driver for ode45: it solves the forced-damped pendulum equation
- hw13_20.m Matlab script for finding the critical points of a phase plane system, and computing the eigenvalues and eigenvectors of the linearization matrix at each one
- hw13.m Matlab script for finding the critical points of a phase plane system, and computing the eigenvalues and eigenvectors of the linearization matrix at each one-this one is more complicated: it uses the ideas in syss.m to find eigenvectors with integer entries wherever possible
Matlab examples and scripts
Matlab examples
Matlab ODE solvers
Direction fields in Maple (Ex. 1.3.7)
MapleText ,
pdf or
text
Some Maple background
Quizzes and Homeworks (from Spring '03)
Return to: Department of Mathematics and Statistics, University of New Mexico.
<vageli aT math.unm.edu>
Last updated: August 8, 2008