Lectures	Sections in Text	Brief Description
1/5		introduction, induction
1/7	1.1, 1.2	vector spaces
1/9	1.3	subspaces
1/10		No class today
1/12	1.4	linear combinations
1/13 (x-hour)	1.5	linear dependence and independence
1/14	1.6	bases and dimension
1/16	2.1	linear transformations
1/19		MLK day; no class today
1/20 (x-hour)	2.1	linear transformations
1/21	2.2	linear transformations and matrices
1/23	2.3	composition of transformations and matrix multiplication
1/26	2.4	invertibiity and isomorphism
1/27 (x-hour)		Exam I, in-class portion
1/28	2.5	change of basis
1/30	3.1	elemetary matrix operations
2/2	3.2	matrix rank and inverse
2/4	3.3	systems of linear equations
2/6	3.4	systems of linear equations
2/9	4.1,4.2	matrix determinants
2/10 (x-hour)	4.3,4.4	properties of determinants
2/11	5.1	eigenvalues and eigenvectors
2/13		Winter carnival; no class today
2/16	5.2	diagonalizability
2/17 (x-hour)	5.3	matrix limits and Markov chains
2/18	5.4	invariant subspaces, the Cayley-Hamilton theorem
2/20	6.1	inner products and norms
2/23	6.2	orthogonalization, orthogonal complements
2/24 (x-hour)		Exam II, in-class portion
2/25	6.3	adjoint of a linear operator
2/27		No class today
3/1	6.4	normal and self-adjoint operators
3/2 (x-hour)	6.5	unitary and orhogonal operators
3/3	6.6	orthogonal projections, the spectral theorem
3/5		No class today
3/8		conclusion

Marcia J. Groszek
Last updated May 31, 2008 12:24:21 EDT