MATH 721

Applied Mathematics II

Spring 2008

This is just a short description of the course.

Meeting times (lectures): TTh  12:20 – 1:45 PM  at  LeConte (LC) 310.

Instructor: Dr. Peter G. Binev http://www.math.sc.edu/~binev/

e-mail:    binev@math.sc.edu)

phones:   576-6269 (at LC 425)   or   576-6304 (at SUM 206H)

Office hours:  TTh  1:50 – 3:00 PM  at LeConte 425/Sumwalt 204, or by appointment.

Text: Principles Of Applied Mathematics (Revised Edition) by James Keener, Perseus Books, 2000.

Description: The course will concentrate on the basic mathematical principles used in describing and solving problems from applied mathematics. While the focus MATH 720 was on modeling and case studies, the second part will build the mathematical foundations necessary for understanding the theoretical and numerical methods used to solve the featured practical problems. As a consequence, the emphasis would be on these basic principles and the understanding of modeling part (MATH 720) will not be a prerequisite. The main topics include some introductory information about vector and functional spaces and complex variables theory, basics of integral and differential operators, calculus of variations, spectral theory, second order PDEs, asymptotic expansions, and perturbation theory.