MATH 401 Applcations of Linear Algebra

FALL 2003

Section 0101 MTH 0106 MWF 9:00-9:50 a.m.

Instructor: Dr. Peter Wolfe

Office MTH 3314, Phone 301-405-5149, e-mail pnw@math.umd.edu
Office Hours: M-F 1-2 p.m. (or by appointment).    

Text: Linear Algebra and its Applications 3rd Ed. by Gilbert Strang, Harcourt Brace Jovanovich, 1988.

Other Recommended Reference: Lay, Linear Algebra and Its Applications, 3rd ed., Addison-Wesley, 2003

Course Objectives This is a second course in Linear Algebra. We will expand on some topics introduced in MATH 240 or MATH 461 and discuss some important applications. We will use the computer system MATLAB.

MATLAB HELP:   For help with MATLAB, this link will take you to the software info page of the Mathematics Department. SOFTWARE

Introduction to MATLAB:   Here is a short introduction to MATLAB that can be downloaded in either pdf or postscript format
Click here for postscript . Click here for pdf

Syllabus:
1. Gaussian Elimination (mainly review); Chapter 1.
2. Orthogonality, Least Squares and the FFT; Chapter 3
3. Eigenvalues and Eigenvectors; Chapter 5.
4. Positive Definite Matices; Chapter 6.
5. Computations with Matrices; Chapter 7.
6. Linear Programing and Game Theory; Chapter 8.

Exams and Assignments: There will be two midterm exams, several homework assignments and a final exam on Thursday, December 18 from 8 to 10 a.m. In addition, problems from the book will be assigned as homework from time to time. These problems will not be collected but we will set aside some class time to discuss them.

The first midterm exam will be Wednesday, October 15. It will cover chapters 1 & 3 in Strang.

Sample Exam I

The second midterm exam will be Monday, November 17. It will cover chapter 5 and section 6.1 in Strang.

Sample Exam II

Sample final exam

Grading Approximately 20% homework assignments, 50% midterms and 30% Final Exam.

Assignments

Assignment #1   Due September 29, 2003.
Assignment #2   Due October 20, 2003.
Assignment #3   Due November 10, 2003.
Assignment #4   Due December 8, 2003.

Fast tridiagonal solver
Discrete Fourier Transform
Data Compression Demo