Math 108A: Introduction to Linear Algebra

Fall 1997

Review of vectors, matrices, systems of linear equations, and determinants; finite and infinite dimensional vector spaces, linear transformations, eigenvectors, and eigenvalues.

Professor Kenneth C. Millett

South Hall 6512

Office Hours: M 2:00-3:00, T 1:30 - 3:00, R 11:00 - 11:30

Phone: (805) 893-3894

Fax: (805) 893-2385

Email: millett@math.ucsb.edu

Course Web Page: http://www.math.ucsb.edu/~millett/math108a.html

Lecture: TR 8:00 - 9:15 in Girvetz 1116

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

The course will cover most of the material found in Chapters 1 through 5 of the text. There will be some supplementary material provided in the lecture on specific topics. 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 Final Exam is Thursday December 11, 1997 from 8:00 to 11:00 a.m. Homework will be collected in at each class meeting and selected problems will be graded. There will be a midterm exam at the end of Chapter 2 as well as frequent in class quizzes. The final grade in the course will be determined as follows: homework (25%), class work (10%), midterm (15%), final exam (50%). Final grades will be sent to students providing a self-addressed, stamped postcard with their final exams.

The Mathematics Laboratory is located in 2517 Phelps Hall 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.

Lectures:

Thursday September 25: Sections 1.1 & 1.2

Tuesday September 30: Sections 1.3 & 1.4

Homework due: 1.1:1(b), 2(d), 3(c), 7; 1.2: 5, 12, 16, 20, 22

Thursday October 2: Review of Problems Solving Methods

Tuesday October 7: Section 1.5

Thusday October 9: Sections 1.6 & 1.7

Homework due: 1.3: 4, 9, 18, 23, 24, 31; 1.4: 2(b), 3(b), 4(b), 6, 11; 1.5: 2, 6, 10, 13, 17

Tuesday October 14: Section 2.1

Homework due: 1.6:2(b,d), 3(b,d), 8, 13, 15, 19, 27, 30

Thursday October 16: Sections 2.1 & 2.2

Tuesday October 21: Section 2.2

Homework due: 2.1: 6,11,16,23,29,34; 2.2: 2(b), 4, 10, 11

Thursday October 23: Section 2.3

Tuesday October 28: Section 2.4

Thursday October 30: Midterm Exam covering through 2.2

Tuesday November 4: 2.5

Thursday November 6: 2.6

Homework due: 2.3:8,10,12,15; 2.4:2,3,8,18,22

Tuesday November 11: 2.7

Homework due: 2.5:3(b,d),11,12 2.6:4,6,10,15,17

Thursday November 13:3.1 & 3.2

Tuesday November 18:3.2 & 3.3

Homework due: 2.7:3(b,d),4(b),13,14

Solutions to Problems:

Problem 6, page 6

Problem 20, page 15



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