Wednesday, 1/21:

Introduction to Proof, Mathematical Induction

Friday, 1/23:

1.1:  Review of Vectors

Monday, 1/26:

1.2:  Intro to Vector Spaces

Wednesday, 1/28:

1.3:  Subspaces

Friday, 1/30:

1.4:  Linear Combinations and Systems of Equations

Monday, 2/2:

1.5:  Linear Dependence and Independence

Wednesday, 2/4:

1.6:  Introduction to Bases

Friday 2/6:

1.6:  More on Bases and the Replacement Theorem

Monday 2/9:

Review Chapter 1

Wednesday 2/11:

EXAM 1

Friday 2/13:

2.1: Introduction to Linear Transformations

Monday 2/16:

2.1:  Rank, Nullity, and the Dimension Theorem

Wednesday 2/18:

2.2:  The Matrix Representation

Friday 2/20:

2.3:  Compositions and Multiplications

Monday 2/23::

2.4:  Invertibility and Isomorphisms

Wednesday 2/25:

2.4:  The Connection:  Matrices and Linear Transformations

Friday 2/27:

2.5:   More on Coordinates

Monday, 3/1:

2.7:  Differential Equations

Wednesday, 3/3:

3.1:  Elementary Operations and Matrices

Friday, 3/5:

3.2:  Matrix Rank and Inverses

Monday 3/8:

Review for Exam 2

Wednesday 3/10

EXAM 2

Friday 3/12:

No Class

Monday, 3/29:

3.3:  Solving Systems of Equations: The Theory

Wednesday 3/31:

3.4:  Solving Systems of Equations:  The Practice

Friday, 4/2:

4.1:  The 2 by 2 determinant

Monday, 4/5:

4.1-4.2:  Generalizing the Determinant

Wednesday 4/7:

4.2:  Computing Larger Determinants

Friday, 4/9:

4.3:  Properties of the Determinant

Monday, 4/12:

4.4:  Reviewing the Determinant

Wednesday 4/14:

5.1:  Eigenvalues and Eigenvectors

Friday, 4/16:

5.1-5.2:  The Characteristic Polynomial and Diagonalizability

Monday, 4/19:

5.2:  Eigenspaces and Testing for Diagonalizability

Wednesday 4/21:

5.3:  Introduction to Markov Chains, Review for Exam 3

Friday, 4/23:

EXAM 3

Monday, 4/26:

5.3:  More on Markov Chains, Gambler’Äôs Ruin

Wednesday 4/28:

6.1 Introduction to Inner Product Spaces

Friday 4/30:

6.2 Orthonormal sets and Gram-Schmidt Orthnormalization

Monday, 5/3:

6.3:  Adjoints and Least Squares

Wednesday 5/5:

Introduction to Graph Theory

Friday, 5/7:

Math and the Movies

Monday, 5/10:

Review for the Final

Final Exam: Saturday, May 15, 9-11 AM