Math 5587      Elementary Partial Differential Equations       Fall, 2011

Professor Peter J. Olver
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
Vincent Hall 127
Phone: 612-625-5591
Fax: 612-626-2017
e-mail: olver@umn.edu
http://www.math.umn.edu/~olver
Lectures:    T, Th 4:45–6:00pm    Vincent Hall 206
Office Hours:   T 3:30–4:30, Th 11:00–12:00, or by appointment


Course Description:   Math 5587-8 is a year course that introduces the basics of partial differential equations, guided by applications in physics, engineering, biology, and finance. Both analytical and numerical solution techniques will be discussed.

Prerequisites:    Strong background in linear algebra, multi-variable calculus, and ordinary differential equations. Some mathematical sophistication. Other topics will be introduced as needed. Basic familiarity with a programming language (Matlab preferrred) is required for numerical work.

Text:    The course will be based on the professor's lecture notes, which are available at Alpha Print, 1407 4th St. SE, in Dinkytown, 612-379-8535.    I intend to cover chapters 1-6 in the fall semester.

Homework:   Homework will be assignemd periodically throughout the semester and collected for grading. The assigned problems should be regarded as the minimum required for mastery of the material. No late homework will be accepted, but I will drop the lowest score when figuring the final grade.

Hour Exams:   There will be two midterm exams. Students will be allowed to bring one page of handwritten notes to the midterms. Make-up exams will only be given in exceptional circumstances, and then only when notice is given to me before hand and a suitable written excuse forthcoming.

First Midterm:    Tuesday, October 11:   Chapters 1 & 2.

Second Midterm:    Thursday, November 17:   Chapters 3 & 4.

Final Exam:   Due:  Tuesday, December 20, 4:00pm.

Grading:

Incompletes:   Only given in extreme circumstances, and only when the student has satisfactorily completed all but a small portion of the work in the course. Students must make prior arrangements with the professor well before the end of the semester.

Student Conduct:   Students are expected to be familiar with University of Minnesota Student Conduct Code, including the consequences for violatation of standards of academic honesty.


Supplementary Texts: