• Partial Differential Equations and Distribution Theory
Math 4720 / MWF 9:05-9:55 / Boyds Graduate Research Center 222
The University of Georgia - Spring 2008
Instructor: Jingzhi Tie, BGRC 504, (542-2607).Office Hours: 2:00-3:15 (MWF), E-mail: (jtie@math.uga.edu), 

Required Texts 

  • Robert S. Strichartz, A guid to Distribution Theory and Fourier TransformsWorld Scientific Publishing Co. Pte. Ltd., 2003..
Recommended References 
  • R. Churchill and J. Brown, Fourier Series and Boundary Value Problems, McGraw-Hill, New York, 1987.
  • R. B. Guenther and J. W. Lee,  Partial Differential Equations of Mathematical Physics and Integral Equations, Prentice Hall, New Jersey, 1988.
  • K. E. Gustafson,  Partial Differential Equations and Hilbert Space Methods,  John Wiley & sons, 1987.
  • Gordon, Introduction to Partial Differential Equations, Princeton University Press, 1995
  • Michael E. Taylor,  Partial differential Equations,   Springer, 1996
  • R. Haberman,    Elementary Applied Partial Differential Equations, Prentice Hall, Upper Saddle River, New Jersey, 1998.
Prerequisites. This is an introduction course for Distribution theory, PDEs and Fourier transforms and
is intended for students of engineering, mathematics and physics,  who have completed a first course in
ordinary differential equations and multidimensional calculus. 

Topics. This course will provide an introduction to distribution theory, Fourier transforms and their applications
in solving linear PDEs. We will cover the first five chapters of the textbook.
For graduate students, I will assign some extral readings from chapter six to chapter eight.

Reading and Lectures. Students are responsible for all topics covered in the readings and lectures.
Assigned material should be read before coming to class. Lectures may go beyond the reading,
and not every topic in the reading will be covered in class. 

Grades.  Grades will be based on homework (60%) and Final exam (40%).
Homework. Homework will be assigned randomly. Collaboration between students is strongly encouraged, but you must write your own solutions, understand them and give credit to your collaborators.

Final exam.  Exam: Mon, May 5, 2008, 8:00 - 11:00 am.