MATH 401 Applcations of Linear Algebra

SUMMER I 2004

Section 0103 MTH 0104 M-F 11:00 a.m.-12:20 p.m. June 1-July 9.

Instructor: Dr. Peter Wolfe

Office MTH 3314, Phone 301-405-5149, e-mail pnw@math.umd.edu
Office Hours: M-F 10:00-10:45 a.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 and Matrix Factorization; Chapter 1.
2. Orthogonality and Least Squares; Chapter 3
3. Eigenvalues and Eigenvectors; Chapter 5.
4. Positive Definite Matices; Chapter 6.
5. Application to Computer Graphics; Lay's book and notes.
6. Computations with Matrices; Chapter 7.
7. Linear Programing and Game Theory; Chapter 8.

Exams and Assignments: There will be two midterm exams, several homework assignments and a final exam on July 9. 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 Tuesday June 15. It will cover chapters 1 & 3 in Strang.

The second midterm exam will be Tuesday June 29. It will cover chapter 5 and section 6.1 in Strang.

Sample Exam I

Sample Exam II

Sample final exam

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

Assignments

Assignment #1   Due June 9, 2004.
Assignment #2   Due June 18, 2004.
Assignment #3   Due June 28, 2004.
Assignment #4   Due July 8, 2004.

Fast tridiagonal solver
Data Compression Demo