Math 108B: Introduction to Linear Algebra

Review of vectors, matrices, systems of linear equations, and determinants; finite and infinite dimensional vector spaces, linear transformations, eigenvectors, and eigenvalues. Diagonalization, inner product spaces, projections, least-square approximations, invariant factors, and elementary divisors, and canonical forms.

Lecture: TR 8:00 - 9:15 in Phelps 1416

Text: Linear Algebra, Third Edition, Stephen Friedberg, Arnold Insel, Lawrence Spence, Prentice Hall

The course will be concerned with the material in Chapters 4, 5, 6, & 7. During the quarter, course information and material will be regularly added to the web page. Students are advised to consult it for new information every week. Links to sources of information will also be provided.

The Composite Grade will be based on class and home work (45%) and the final exam (55%). The Course Grade will be no lower than the final exam grade nor higher than one grade higher than the final exam grade. Home work problems will appear on quizzes as well as the final examination. The material assigned for the week must be read prior to class meetings. Quizzes will not be announced and may include material from the reading assignment.

Homework Assignments will due each week during office hours and must be presented in person. One problem will be graded immediately with an opportunity for revision or correction offered. Late homework will not be accepted.

The Mathematics Laboratory is located at South Hall 1206 and is open from noon to 5:00 p.m. Monday through Friday. The graduate assistants working there should be able to answer any mathematical question arising in this class. The Achievment Program sponsors an opportunity to discuss upper division mathematics with faculty members, graduate students, and other under graduate students. Math! meets Monday and Thursday evenings from 5:00 to 7:00 in South Hall 4421.

Lectures and Assignments

Week 1 Chapter 4, Sections 4.1 - 2

Week 2 Chapter 4, Sections 4.3 - 5

Homework due 1/15: page 196 3,6,10; page 209 15, 25, 26, 28

Week 3 Chapter 5, Sections 5.1 - 5.2

Homework due1/22: page 216 4,9-12, 21, 25(f), 27; page 224 4(h), 5; page 230 18

Week 4 Chapter 5, Sections 5.3 - 5.4

Homework due 1/29: page 247 1,3(b,d),8,11,17; page 268 1,2,3,10,12,18, 22

Week 5 Chapter 6, Sections 6.1 - 6.2

Homework due 2/5: page 295 1,2(a,d,h,i),4,5,13; page 309 2,5,13,17,18

Week 6 Chapter 6, Sections 6.3 - 6.5

Homework due 2/12: page 322 4,8,10,17,21,21; page 3342a,10,12,15

Week 7 Chapter 6, Sections 6.6 - 6.7

Homework due 2/19: page 345 3b,8,12,22; page 354 3,5,6,13: page 369 4,5,7

Week 8 Chapter 6, Sections 6.8, 6.10

Homework due 2/26: page 379 2, 5, 7; page 405 4,5b,16,23

Week 9 Chapter 7, Sections 7.1 - 7.2

Homework due 3/5: page 419 9; 3,7,10,14,16

Week 10 Course Review & Take Home Final Exam (due at final)

Homework due 3/12: page 452 6,13; page 466 3, 4b,8,13

Comprehensive Final Exam Thursday March 19, 1998, 8 - 11 am

If you have comments or suggestions, email me at millett@math.ucsb.edu