AMS 321, Computer Projects in Applied Mathematics

Catalog Description: The simulation methodology for a variety of applied mathematical problems in numerical linear and nonlinear algebra, statistical modeling, and numerical differentiation and integration. Graphical representation of numerical solutions.

Prerequisite: AMS 210 or AMS 261 or MAT 203; prior experience in C, FORTRAN or Java

3 credits

Textbook: Course Notes of Professor Deng

THIS COURSE IS OFFERED IN THE FALL SEMESTER ONLY.

1. Unix/C Basics – 5 hours
2. Finding max/min and zeros of a function – 3 hours
3. Numerical differentiation and integration – 3 hours
4. Matrix equations and eigenvalues – 4 hours
5. Interpolation and data smoothing – 4 hours
7. Runge-Kutta methods – 3 hours
8. Random numbers and Monte Carlo methods – 4 hours
9. Ordinary Diff. Equations – 8 hours
10. Discrete optimization – 5 hours
11. Fast Fourier Transform and applications – 4 hours
13. Review and tests—4 hours