# Math 572 - Numerical Mathematics - Spring 2008

TR 12:40-1:55 - Ayres 309A

### Course Information:

This course covers the Analysis of Numerical Methods for Differential
Equations. We will cover methods for ordinary and partial differential
equations, focusing primarily on finite difference type methods. Other
topics covered include; polynomial approximation, numerical integration
and the finite element method.

The prerequisites for this course are: Multi-variable calculus and analysis,
some linear algebra, introductory numerical analysis/methods, some experience programming in FORTRAN, PASCAL, C, or a similar
language and some experience with proofs.

### Resources:

- Text: Finite Difference Methods for Ordinary and
Partial Differential Equations:
Steady-State and Time-Dependent Problems, by
Randall J. LeVeque, SIAM, 2007.
(If you are a SIAM member, you can get this
book at a discount: $44.10 + shipping from the siam.org website)
- Class Outline/Schedule Contains topics covered, important concepts and homework problems. Updated regularly.
- HW & PW Assignments copies of homework
and projectwork assignments, solutions and other info.
- Handouts: there will be links to
PDFs on the day they were handed out. Additional material is also
available (use the above link).
- MATLAB Files supplied by the author of the text
and additional ones added as needed
- Other References Other books and articles
that are relevant.

### Grading:

- Homework (50%) Assigned weekly. See Class Outline/Schedule for details.
- Projectwork (30%) more details later
- Final Exam (20%) Thursday, May 1, 2:45-4:45

### Instructor:

Charles Collins

312B Ayres Hall

974-4269 or 974-2461

ccollins@math.utk.edu
Office Hours: TWR 2-3 and by appointment

ccollins@math.utk.edu