Math 4458      Methods of Applied Mathematics       Spring, 2004

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 e-mail: olver@math.umn.edu http://www.math.umn.edu/~olver
Lectures:    MWF 11:15 - 12:05, Vincent Hall 6
Office Hours:   M 1:30-3:30, F 12:15-1:15, or by appointment

• Homework #1:
  Exercises: 11.1.3, 11.1.5, 11.1.11, 11.2.1a-d, 11.2.2, 11.2.6a, 11.2.8a,c, 11.2.10, 11.2.11a.
      Due: Friday, Febrary 6
• Homework #2:
  Exercises: 11.2.20, 11.2.22, 11.3.1a,b-i, 11.3.2b, 11.3.3a (for part b of 11.3.2),11.3.4c, 11.3.10, 11.3.12.
      Due: Monday, February 16
• Homework #3:
  Exercises: 11.4.1c, 11.4.2c, 11.4.4 (for part c of 11.4.1), 11.4.7, 11.4.14b, 11.4.16b, 11.4.21a-c.
      Due: Monday, March 1
• Homework #4:
  Exercises: 12.1.1b, 12.1.2b, 12.2.2b, 12.2.3a, 12.2.6b, 12.2.26, 12.2.30, 12.2.34, 12.2.36a, 12.2.37, 12.2.41, 12.2.47, 12.2.52, 12.2.61, 12.2.63, 12.3.1, 12.3.6.
      Due: Wednesday, March 24
• Homework #5:
  Exercises: 12.4.1d, 12.4.2d, 13.1.1c, 13.1.2b, 13.1.3, 13.1.5, 13.1.9, 13.1.14.
      Due: Wednesday, April 7
• Homework #6:
  Exercises: 13.3.1e, 13.3.2d, 13.3.8, 13.3.13, 13.3.15a,b,f, 13.3.29a, 13.3.35b, 13.3.53
      Due: Wednesday, April 28

Hour Exams

• Midterm #1: Friday, March 5. Will cover chapter 11.
• Midterm #2: Monday, April 26. Will cover chapters 12,13.

Course Description:   The year course Math 4457-8 is designed to introduce the basic tools used in applications of mathematics. Topics include linear algebra, differential equations, boundary value problems, numerical approximations, Fourier analysis, complex variables, dynamical systems, etc. Many applications will be discussed, including mechanical structures, electrical circuits, fluid mechanics, continuum mechanics, geometry, signal and image processing, and many more.

Text:   The course will be based on the professor's typed lecture notes, which will be distributed in class. I am hoping to cover chapters 10-14 in the spring semester.

Homework:   Each assignment will consist of problems from the text, which may include computer projects. Assignments handed out on a Wednesday will 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.

Final Projects:   Instead of a final exam, I will be assigning a final project. Details will be announced in class.

Grading:

• Homework 30%
• Hour Exams 25% each
• Final Project 20%

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.