Week	Lecture Day	Topic	Textbook Reference
0	September 24	Systems of linear equations: First examples	§1.1
1	September 27 September 29 October 1	The row-reduction algorithm The row-reduction algorithm (cont'd) Vector equations	§1.2 §1.2 §1.3
2	October 4 October 6 October 8	Matrix form of a linear system Homogeneous linear systems Linear independence	§1.4 §1.5 §1.7
3	October 11 October 13 October 15	Introduction to linear transformations The matrix of a linear transformation (review)	§1.8 §1.9 -
4	October 18 October 20 October 22	First Midterm Linear transformations: onto and 1-to-1 Matrix operations	- §1.9 §2.1
5	October 25 October 27 October 29	The inverse of a matrix Characterizations of invertible matrices The inverse of a linear transformation	§2.2 §2.3 §2.3
6	November 1 November 3 November 5	Introduction to determinants Properties of determinants Cramer's rule	§3.1 §3.2 §3.3
7	November 8 November 10 November 12	(review) Second Midterm Eigenvectors and eigenvalues	- - §5.1
8	November 15 November 17 November 19	The characteristic equation Diagonalization Diagonalization (cont'd)	§5.2 §5.3 §5.3
9	November 22 November 24 November 26	Complex eigenvalues Vector spaces (optional) (no class)	§5.5 §4 -
10	November 29 December 1 December 3	- - -
Finals	December 8	Final Exam