Math 110. Linear Algebra

Department of Mathematics
University of California, Berkeley
Spring 2008

This is an introductory course on linear algebra. We will study linear algebra from both an abstract point-of-view with vector spaces and linear transformations playing the central roles and also a more concrete approach emphasizing matrices and vectors in Rⁿ. We will discuss some applications of linear algebra.

The official prerequisite for taking this course is Math 54: Linear algebra and differential equations.

Announcements

05/16/08: Final exam will take place in 3108 Etcheverry Hall, 12:30–3:30, Thu, May 22.
05/16/08: Special office hours: 1–4, Wed, May 21.
05/07/08: Homework solutions brought up to date.
05/03/08: Revision lecture in Evans 75, 3:30–5, Tue, May 13.
05/03/08: Homework 9 posted. Due on Tue, May 13 (ie. during the revision lecture).
04/25/08: Homework 8 posted. Due in class on Thu, May 01.
04/22/08: Office hours on Thu, Apr 24, moved to 2–3:30.
04/18/08: Homework 7 posted. Due in class on Thu, Apr 24.
04/11/08: Homework 6 posted. Due in class on Thu, Apr 17.
04/04/08: Homework 5 posted. Due in class on Thu, Apr 10.
03/15/08: Office hours next week: 12–2, Mon, Mar 17; 2–3, Tue, Mar 18.
03/15/08: Solutions to Homework 4 posted.
03/12/08: Midterm will take place in 180 Tan Hall, 3:30–5, Tue, Mar 18.
03/12/08: Solutions to Homework 3 posted.
03/12/08: Solutions to Homework 2 posted.
03/10/08: Solutions to Homework 1 posted.
03/06/08: Homework 4 posted. Due in class on Thu, Mar 13.
02/28/08: Homework 3 posted. Due in class on Thu, Mar 06.
02/14/08: Homework 2 posted. Due in class on Thu, Feb 21.
02/07/08: Homework 1 posted. Due in class on Thu, Feb 14.
01/29/08: Handout 1 posted.
01/24/08: Office hours will formally begin next Thursday.
01/22/08: Check this page regularly for announcements.

Lectures

Location: Evans Hall, Room 75

Times: 3:30–5:00 PM on Tue/Thu

Course staff

Instructor: Lek-Heng Lim
Evans Hall, Room 873
lekheng(at)math.berkeley.edu
(510) 642-8576
Office hours Tuesday, 2:00–3:30 PM; Thursday, 1:00–2:30 PM.

Graduate Student Instructor: Charlie Smart
Evans Hall, Room 891
smart(at)math.berkeley.edu
Office hours 11:00 AM–4:00 PM every Wednesday and Thursday.

Syllabus

Matrices
Vector spaces
Linear transformations
Determinants
Inner products
QR factorization
Linear functionals
Eigenvectors
Quadratic forms and Rayleigh's principle
Jordan canonical form
Applications
Additional topics

Homework assignments

Homework will be assigned once a week and will be due the following week (except possibly in the weeks when there is a midterm). Collaborations are permitted but you will need to write up your own solutions.

Problem Set 9: PDF (posted: May 03; due: May 13); Solutions: PDF (posted: May 16)
Problem Set 8: PDF (posted: Apr 25; due: May 01); Solutions: PDF (posted: May 07)
Problem Set 7: PDF (posted: Apr 18; due: Apr 24); Solutions: PDF (posted: May 07)
Problem Set 6: PDF (posted: Apr 11; due: Apr 17); Solutions: PDF (posted: May 05)
Problem Set 5: PDF (posted: Apr 04; due: Apr 10); Solutions: PDF (posted: May 03)
Problem Set 4: PDF (posted: Mar 06; due: Mar 13); Solutions: PDF (posted: Mar 15)
Problem Set 3: PDF (posted: Feb 28; due: Mar 06); Solutions: PDF (posted: Mar 12)
Problem Set 2: PDF (posted: Feb 14; due: Feb 21); Solutions: PDF (posted: Mar 12)
Problem Set 1: PDF (posted: Feb 07; due: Feb 14); Solutions: PDF (posted: Mar 10)

Bug report on the problem sets or the solutions: lekheng(at)math.berkeley.edu

Handouts and supplementary readings

Handout 1 (posted: Jan 29).

Course homepage from Fall 2007.

Grades

Grade composition: 40% Homework, 20% Midterm, 40% Final

Textbooks

Only the first book is required. The rest are optional supplementary references that you might like to check out from the library.

Stephen Friedberg, Arnold Inse, and Lawrence Spence, Linear Algebra, 4th Ed., Pearson Education, 2003.

Gilbert Strang, Linear Algebra and its Applications, 4th Ed., Thomson Learning, 2006.

Lars Eldén, Matrix Methods in Data Mining and Pattern Recognition, SIAM, 2006. Link

Per Christian Hansen, Jim Nagy, and Dianne O'Leary, Deblurring Images: Matrices, Spectra, and Filtering, SIAM, 2006. Link