Math 4457      Methods of Applied Mathematics       Fall, 2005

Professor Peter J. Olver
School of Mathematics
Institute of Technology
University of Minnesota
Minneapolis, MN 55455
540 Vincent Hall
Phone: 612-624-5534
Fax: 612-626-2017
Lectures:    MWF 11:15 - 12:05, Vincent Hall 209
Office Hours:   M 2:30-4:25, F 12:20-1:10, or by appointment

Course Description:   The year course Math 4457-8 is designed to introduce the basic tools used in applications of mathematics. The first semester concentrates on applied linear algebra and ordinary differential equations. The second semester treats boundary value problems, Fourier analysis, partial differential equations, and numerical methods. Many applications will be discussed, including mechanical structures, electrical circuits, fluid mechanics, continuum mechanics, geometry, signal and image processing.

Prerequisites: Basic linear algebra and ordinary differential equations (Math 2243 or 2373 or 2573), and multi-variable calculus (Math 2263 or 2374 or 2574).

Text:   Applied Linear Algebra, by Peter J. Olver and Chehrzad Shakiban, Prentice-Hall, Upper Saddle River, NJ, 2006

Homework:   Each assignment will consist of several problems from the text. Some problems may involve computer calculations; details will be given in class. Assignments handed out on a Wednesday will typically be due the following Wednesday.

Hour Exams:   There will be two midterm exams; the date and chapters covered will be announced in due course. 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:    Friday, October 28. Will cover chapters 1-3.

Second Midterm:    Friday, December 2. Will cover chapters 4-6.

Final Exam:     Saturday, December 17, 10:30 am - 12:30 pm


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 quarter.

Grading Standards and Student Conduct:   Students are expected to be familiar with University of Minnesota policies on grading standards and student conduct, including the consequences for students who violate standards of academic honesty.