Required Text: R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1985.

Evaluation

1. Homework 50%
2. Class Exam 25%
3. Final Exam 25%

Tests

• Class Exam, Wednesday, October 19
• Final Examination, Monday, Dec. 12 3:30-5:30 BLOC 156

Nature and Content of Course: The goal of this course is to present many of the fundamental concepts of linear algebra especially those that are central to many applications in science and engineering. We plan to cover parts of much of the book listed above. Due to time considerations, many sections will be skipped. Course content includes: Review of the basics of linear algebra, spectral theory in inner product spaces, decomposition theorems, factorization theorems including QR, LU and SVD, location and perturbation of eigenvalues, Hermitian, positive definite and nonnegative matrices. Prerequisite: MATH 304.

Attendance and Make-up Policy: Class attendance is strongly advised. Make-ups (or satisfactory equivalents) will be given only in cases authorized under TAMU Regulations. In borderline cases, your instructor will decide whether or not the excuse is authorized. Also, if you miss a test, contact your instructor immediately. All printed hand-outs and web materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.

• 1---Chapter 0
• 2---Ch. 1 : p.37 1,2,4,5,8; p.42 2,3,6,10;
• 3---Ch. 1 : p.54 2,3,5,7; p.61 1,3,7;
• 4---Ch. 2 : p.72 9,11,12; p.76 4; p.83 1,4;
• 5---Ch. 2 : p.95 2,5,9; p.108 1,3,15,18,25,31;
• 6---Ch. 2 : Ch. 3 : p.129 2; p.139 3,5,6,9,15;
• 7---Ch. 3 : p.148 3,5,6,9;
• 8---Ch. 4, Exam
• 9---Ch. 4 : p.164 1; p.174 3,6,7,10;
• 10---Ch. 5 : p.198 1,4,6,7; p.262 4,6,8; p.267 2,4;
• 11---Ch. 5 : p.279 3,5,9,13;
• 12---Ch. 6 : p.311 1,11,12,13,26; p.340 1,2,3,4;
• 13---Ch. 6 : p.347 exercise; p.351 2,5,7;
• 14---Ch. 7 : p.409 1,9,14; p.420 1,2,3,4,7,8