Introduction to Partial Differential Equations
(MTH 441, Fall 2009)

Time: 12:30-1:45pm, TuTh	Location: Rodman 118
Instructor: Li Wu	Office: Lippitt 101-B
Phone: 874-5595	Email: liwu@math.uri.edu
Office Hour: TuTh 2:30:-3:30pm

Prerequisite: Calculus courses, MTH 244 or MTH 362.

Textbook: Stanley J. Farlow, Partial Differential Equations for Scientists and Engineers

Reference Books:

Jeffery M. Cooper, Introduction to Partial Differential Equations with MATLAB
E.C. Zachmanoglou and Dale W. Thoe, Introduction to Partial Differential Equations with Applications

MTH 441 is the introductory course for partial differential equations. The object is to present an elementary treatment of the most important topics of the theory together with applications to problems from the physical sciences and engineering. This course is designed for undergraduate students and some graduate students majored in mathematics and engineering. At the same time it provides a good basis for those students who will pursue the study of more advanced topics.

Separation of vatiables, Fourier series and integral transforms are the most important analytical tools discussed. Several nonstandard topics, such calculs of variations, potential theory, and integral equations, are also discussed. Some basic numerical treatments will be introduced.