Date	Sections in Text	Class Topics
1/21	1.1	Course introduction, vector spaces.
1/23	1.1	More on vector spaces.
1/26	1.2	Vector subspaces.
1/28	1.2	More on vector subspaces.
1/30	1.3	Linear combinations; Definitions Quiz 1.
2/2	1.4	Linear dependence.
2/4	1.4	Linear indepdence.
2/6	1.5	Systems of linear equations; Definitions Quiz 2.
2/9	1.5	Echelon form.
2/11	1.6	Bases of a vector space.
2/13	1.6	Dimension of a vector space; Definitions Quiz 3.
2/16	2.1	Linear transformations.
2/18	2.1	More on linear transformations
2/20	Chapter 1	First midterm.
2/23	2.2	Matrix of a linear transformation.
2/25	2.2	More on matrices of linear transformations.
2/27	2.3	Kernel and image, the Dimension Theorem; Definitions Quiz 4.
3/1	2.3	Consequences of the Dimension Theorem.
3/3	2.4	One-to-One and Onto properties.
3/5	2.4	Solution sets of linear systems; Definitions Quiz 5.
3/8 - 3/12		NO CLASS: Spring Break
3/15	2.5	Composition and matrix multiplication.
3/17	2.6	Inverse transformations.
3/19	2.6	Inverse matrices; Definitions Quiz 6.
3/22	2.7	Change of basis.
3/24	2.7	More on change of basis.
3/26	2.1 - 2.6	Second midterm.
3/29	3.1	Determinants.
3/31	3.2	More on determinants.
4/2	3.2	More on determinants; Definitions Quiz 7.
4/5	3.3	Cramer's rule.
4/7		Catch up, if needed.
4/9 - 4/12		NO CLASS: Easter Break.
4/14	4.1	Eigenvalues and eigenvectors.
4/16	3.2	More on eigenvalues and eigenvectors; Definitions Quiz 8.
4/19	4.2	Diagonalizability.
4/21	4.3	Inner products.
4/23	4.4	Orthogonal projections; Definitions Quiz 9.
4/26	4.5	Adjoints and symmetric matrices.
4/28	4.6	The Spectral Theorem.
4/30	2.7, Chapter 3, 4.1 - 4.4	Third Midterm.
5/3		Wrap it up.