January

17:

§1.1

Introductory Remarks: What is the linear algebra?

19:

§1.2

Matrices and systems of linear equations

22:

§1.3

Row reduction and rank

24:

§2.1

Linear transformations and geometry

26:

Discussion of problems

29:

§2.2

Rotations, dilations, reflections, and shears

31:

§2.3

The inverse of a linear transformation

February

2:

Discussion of problems

5:

§2.4

Matrix multiplication

7:

§3.1

The image and kernel of a linear transformation

9:

Discussion of problems

12:

§3.2

Subspaces and dimension

14:

§3.3

Finding bases, linear indepedence

16:

Discussion of problems and review

19:

Holiday

20:

First Hour Exam

21:

§4.1

Distance and angles, orthogonal projection

23:

Discussion of problems

26:

§4.2

Orthonormal bases and the Gram-Schmidt process

28:

§4.3

Orthogonal transformations and matrices

March

2:

Discussion of problems

5:

Spring Recess

7:

Spring Recess

9:

Spring Recess

12:

§5.1

Determinants

14:

§5.2

Properties of determinants

16:

Discussion of problems

19:

§5.3

Geometric meaning of determinants, volume

21:

§5.3

Cramer's Rule

23:

Discussion of problems and review

26:

Second hour exam

28:

§6.1

Discrete dynamical systems and eigenvectors

30:

Discussion of problems

April

2:

§6.2

Eigenvalues and the characteristic polynomial

4:

§6.3

Finding the eigenvectors of a matrix

6:

Discussion of problems

9:

§6.5

The meaning of complex eigenvalues

11:

§6.6

Stability

13:

Discussion of problems

16:

Holiday

18:

§7.1-7.2

Coordinates and diagonalization

20:

Discussion of problems

23:

§9.1-9.2

Vector spaces and coordinates

25:

§9.3

Inner product spaces

27:

Discussion of problems

30:

Review

May

2:

Review