Math 22, Summer 2013, Schedule (subject to change)

Linear Algebra with Applications

Dartmouth College, Department of Mathematics

 


 

 

Lecture

Date

Sections

Topic

Week 1

1

 6/21

1.1

 

1.2

Systems of linear equations

 

Row reduction and echelon forms

Week 2

2

6/24

1.3

 

1.4-

Vector equations

 

The matrix equation Ax=b

 

3

6/26

1.4 cont.

 

1.5

Ax=b cont.

 

Soln sets of linear eqns

 

4

6/28

1.7

Linear independence

Week 3

5

7/1

1.8

Intro to linear transformations

 

6

7/3

1.9

The matrix of a linear transformation

 

7

7/5

2.1

 

2.2

Matrix operations

 

The inverse of a matrix

Week 4

8

7/8

2.3

Characterizations of invertible matrices

 

9

7/10

3.1

 

3.2

Intro to Determinants

 

Properties of determinants

 

10

7/12

4.1

Vector spaces and subspaces

Week 5

11

7/15

4.2

Null spaces, column spaces, linear transformations

 

12

7/17

4.3

Linearly independent sets; Bases

 

13

7/19

4.4

Coordinate systems

Week 6

14

7/22

4.5

The dimension of a vector space

 

15

7/24

4.6

Rank

 

16

7/26

4.7

Change of basis

Week 7

17

7/29

4.9

Applications to Markov Chains

 

18

7/31

5.1

Eigenvectors and eigenvalues

 

19

8/2

5.2

The characteristic equation

Week 8

20

8/5

5.3

Diagonalization

 

21

8/7

6.1

Inner product, length, orthogonality

 

(Final day to Withdraw)

 

22

8/9

6.2

Orthogonal sets

Week 9

23

8/12

6.3

Orthogonal projections

 

Midterm II 3:30-5pm (Covers 3.2-5.3, with exception of Markov Chains

 

24

8/14

6.4

The Gram-Schmidt Process

 

25

 8/16

7.1

Diagonalization of symmetric matrices

Week 10

26

8/19

7.4-

The SVD

 

27

8/21 (last day of class)

7.4 cont.

The SVD cont.

 

 

8/22-8/23

 

Pre-examination break

 

 

8/24

 

FINAL EXAM: 8am-11am