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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.

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

3 credits

 

COURSE HAS NOT BEEN OFFERED IN RECENT YEARS



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