Fall, 2011 Course Content (and Tentative Schedule): 

Week of

Coverage in textbook   

HW due on Friday

Topics

8/15 - 8/19

1.1-1.2

1

Systems of equations, Row reduction

8/22 – 8/26

1.3-1.5

2

Vector and matrix equations, Structure of solutions

8/29 - 9/2

1.6 - 1.8

3

Linear independence
Linear transformations & their matrices

9/5 - 9/9

Test 1 on Thursday

none

(Monday is Labor Day) review

9/12 - 9/16

2.1-2.3

4

Matrix operations, Invertible matrices

9/19 – 9/23

2.4,3.1,3.2

5

Partitioned matrices, Determinants

9/26 – 9/30

3.3,4.1,4.2

6

Determinants & their properties
Vector spaces, linear transformations

10/3 - 10/7

4.3-4.4

7

Bases, coordinate systems(Monday is a teacher workday)

10/10 - 10/14

4.5-4.7

8

Dimension, Rank, Change of Basis

10/17 - 10/21

4.8, Test 2 on Thursday

none

review, Difference Eqs

10/24 – 10/28

4.9,5.1,5.2

9

Markov Chains
Eigenvalues, eigenvectors, Char. equations

10/31 - 11/4

5.3-5.4

10

Diagonalization, Linear Transformation

11/7 - 11/11

5.5– 5.7

11

Complex eigenvalues, Discrete Systems
Differential eqs

11/14 - 11/18

6.1-6.3

12

Inner product, orthogonality, Orth. projs.

11/21 - 11/25

6.4(No school Weds, Thurs, Fri - Thanksgiving)

none

Orthogonal Bases

11/28 - 12/2

6.5, Test 3 on Thursday

13 due Weds

review, Least squares

12/5 - 12/9

6.6,6.7,6.8

14

Linear models, Regression
Inner product spaces

12/12 – 12/16

Review and Final Exam

none