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 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.

**
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.

- Homework Assignment #1
- Homework Assignment #2
- Homework Assignment #3
- Homework Assignment #4
- Homework Assignment #5
- Homework Assignment #6
- Homework Assignment #7
- Homework Assignment #8
- Homework Assignment #9
- Homework Assignment #10
- Homework Assignment #11

**
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.

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

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

**
Grading:
**

- Homework 25%
- Hour Exams 20% each
- Final Exam 35%

**
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.