- Partial Differential Equations and Fourier Series
Math 4720 / TR 9:30-10:45 / Boyds Graduate Research Center
323
The University of Georgia - Spring 2006
Instructor: Jingzhi Tie, BGRC 504, (542-2607).Office
Hours: 11-12:30
(TR), E-mail: (jtie@math.uga.edu),
Required Texts
- Nakhle H. Asmar, Partial Differential Equations,
Prentice Hall, Upper Saddle River, New Jersey, 2005.
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 PDEs
and Fourier Series and is intended for students of engineering,
mathematics and physics, who have completed a first course in
ordinary differential
equations.
Topics. This course will provide a rigorous
introduction
to Fourier Series, the Laplace operator, heat and wave equations,
Schroedinger's equations..
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 (50%),
and one two-hour exam (20%) in the midpoint of the semester and Final
exam (30%).
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. Homework
problems are here.
Final exam. Thu,
May 4, 2006, 8:00 - 11:00 am.
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