MATH 401 Applcations of Linear Algebra

SUMMER I 2011

Section 0101 MTH 0104 M-F 11:00 a.m.-12:20 p.m. May 31-July 8

Instructor: Dr. Peter Wolfe

Office MTH 3314, Phone 301-405-5149, e-mail pnw@math.umd.edu
Office Hours: MWF 10-10:50 a.m, TuTh 10:30-10:50 (or by appointment).    

Text: Linear Algebra and its Applications 3rd. Ed. Update by David Lay, Addison-Wesley ISBN: 978-0-3-212873713-7

Suggested: Lay, Study Guide,  (for Linear Algebra and Its Applications 3rd Ed Update.) Addison-Wesley ISBN 987-0-3-2128066-4    

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.

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 6
3. Eigenvalues and Eigenvectors; Chapter 5.
4. Symmertic Matrices and Quadratic Forms; Chapter 7.
5. Computation with Matrices
6. Linear Programing and Game Theory; Chapter 9 (Online).

Exams and Assignments: There will be two midterm exams, four homework assignments and a final exam on July 8. . 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. It is important that you do these problems.

The first midterm exam will be on Tuesday, June 14. It will cover the material on Gauss Elimination and Matrix Factorization and also Orthogonality and Least Squares (Chapter 6 in Lay).

The second midterm exam will be on Monday, June 27. It will cover Section 4.9 (Markov Chains), Sections 5.1-5.3,5.5,5.7 and 7.1-7.4.

Sample Exam I

Sample Exam II

Assignments

Assignment #1   Due June 8, 2011.
Assignment #2   Due June 17, 2011.
Assignment #3   Due June 29, 2011.
Assignment #4   Due July 8, 2011.

Informal Assignments

June 1, p.25: 7,11; p.55: 7,9.
June 2, p.127:33; p.149: 1,7,9.
June 6, p.382: 1,7,9,13,15.
June 7, p.392:1-7,9,11,15,17.
June 8, p.400:1,3,7,11,15; p.407:3,7,9,13.
June 9, p.416:1,3,5,7,9,13,25.
June 10, p.425:1,7,9.
June 15, p.296: 1,7,11.
June 16, p.308: 3,7,17,19; p.317:1,9,17.
June 17, p.325: 5,7 11; p.341:1,13.
June 20, p.361: 1,5,7,9.
June 21, p.454: 13,19.
June 23, p.462: 3,5 7; p.470 1,3,7,9.
June 24, p.481: 8.
July 1, p.15 Chapter 9, 1,7,9,15.
July 5, p.25 Chapter 9, 1,3,7,13.
July 6, p.43 Chapter 9, 1,9,13,16.
July 7, p.53 Chapter 9, 1,5,11,17.

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

Fast tridiagonal solver
Data Compression Demo

Lay Linear Algebra Chapter 9

Course Evaluation is now online ! To fill out an evaluation form for this course click here. We urge you to do this. Responses are due by June 10.