MATH 602--600 Higher mathematics for engineers and physicists, Fall 1999

MATH 602 -- Higher mathematics for engineers and physicists, Fall 1999

Instructor: Dr. Raytcho Lazarov, Blocker 505C, 845 7578
Teaching Assistant: Victor Ginting
Time: TR 11:10 -- 12:25 am and W 9:10 - 10:00 pm
Classroom: TR ENPH 214 and W ZACH 119D
Office Hours: TR 2:00 pm -- 3:00 pm or by appointment
Text: (Required) Basic Partial Differential Equations, by D.Bleecker and G. Csordas, Van Nostrand Reinhold, 1996

This is a one-semester course on solving problems in physics and engineering by partial differential equations. The course will emphasize on the basic equations in engineering such as vibration of thin elastic membranes and strings, heat flow in finite and infinite bars, fluid flow in porous media, convection-diffusion of a substance in fluid flows, etc. The course will concentrate on the basic techniques for PDE's: method of characteristics for first order equations and systems; Fourier series and Fourier integrals; orthogonal functions and orthogonal polynomials; special functions and Sturm-Liouville theory; application to P.D.E. and introduction to Green's functions; method of traveling waves; separation of variables.
We emphasize on the application of the P.D.E. to engineering and physics and we shall try to keep the presentation as close as possible to the mentioned above (and other) applied problems. Those who would like to replace some of the homeworks with computer implementation of the methods are welcome.
This course, with MATH 601, form a one-year course on higher mathematics for engineers and physicists on graduate level.

Your grade for the course will be computed as follows:
- (a) 25% will be determined by your homework assignments
- (b) 40% will be determined by your two tests
- (c) 35% will be determined by your final exam (the final exam is comprehensive)
your MINIMUM grade will be A, B, C, or D, for averages of 90%, 80%, 65%, or 50%, respectively.