Mathematics 4348a Introduction to Partial Differential Equations II Spring, 2000

Class times: MWF 1, Skiles 149 (room uncertain)
Instructor: Evans Harrell, Skiles 134, tel. 894-4312, e-mail harrell@math.gatech.edu
Office periods: MF2:30-3:30.

Texts: The on-line text, Linear Methods of Applied Mathematics, with parts of the text by Zachmanoglou and Thoe.

Prerequisites: Ordinary differential equations at the level of Mathematics 3308. Math 4347 is suggested but not necessary.

Grading, structure, and requirements. Monday and Wednesday will be lecture days, and Fridays will be a mixture of lectures, problem sessions, and computational work. Thus on Fridays homework will be due, and in addition there may be a quiz, which counts. There will be scheduled exams on Friday, 28 January, Friday, 18 February, Friday, 17 March, and Friday, 7 April. (Calendar).

Goals: After taking this class, you should understand the following.

The Fredholm alternative theorem for solving matrix equations.
• The concepts of linearity and operators and their relationship to differential equations.

• How to solve integral equations of the form Y = K Y + f, where K is an integral operator

• Differential operators and their adjoints, and their uses.

• The concept of a Green function and its use to solve ordinary differential equations.

• The use of Green functions to solve partial differential equations.

• The use of high-level software (Maple, Mathematica, or Matlab) as a tool for solving these problems.

Computer and network use.

High-level software will often be used for calculations in this course, and this will allow us to progress further than was possible in the past. They will not be required, however, and students will be able to do the entire course with paper calculations, if they so desire.

contact me.

Onward to the text.

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