Lectures	Sections in Text	Brief Description
9/20	1.1, Appendix A	Introduction and basic set theory
9/21 x-hour		What is a mathematical proof?
9/22	1.2, Appendix C	Fields and vector spaces
9/25	1.2,1.3	Vector spaces and subspaces
9/27	1.3,1.4	Subspaces and linear combinations
9/28 x-hour		Mathematical induction
9/29	1.4, 1.5	Generating sets, Linear dependence and independence
10/2	1.6	Bases and dimension
10/4	1.6	Bases and dimension
10/5 x-hour		Review--come prepared with questions
10/6	2.1	Linear transformations
10/9	2.1	Nullspace and range
10/11	2.2	Matrix representations
10/12 x-hour		Exam 1
10/13	2.3	Compositions of linear transformations
10/16	2.4	Invertibility and isomorphisms
10/18	2.4,2.5	Isomorphisms; Change of coordinate matrix
10/19 x-hour		no class
10/20	2.5,3.1	Change of basis; Elementary matrices
10/23	3.2	Rank of matrices
10/25	3.2	Inverses of matrices
10/26 x-hour		Review of Chapter 2
10/27	3.3	Systems of linear equations
10/30	3.4	Gaussian elimination
11/1	4.1, 4.2	Determinants
11/2 x-hour		Exam 2
11/3	4.2, 4.3	Properties of determinants
11/6	5.1	Eigenvalues and eigenvectors
11/8	5.1, 5.2	Diagonalizability
11/9 x-hour		no class
11/10	5.2	Diagonalizability
11/13	5.3	Matrix limits and Markov chains
11/15	5.4	Invariant subspaces and the Cayley-Hamilton theorem
11/16 x-hour		TBD
11/17	6.1	Inner products and norms
11/20	6.2	Gram-Schmidt orthogonalization
11/22	No class	Thanksgiving break
11/23 x-hour	No class	Thanksgiving break
11/24	No class	Thanksgiving break
11/27	6.2	Orthogonal complement and orthogonal projection
11/29	6.3	Least squares approximation
11/30 x-hour		Review session for final
12/1	No class	Reading period
12/3	Final exam	3 - 6 pm, Carson 60

Stephanie Treneer
Last updated November 29, 2006 09:19:45 EST