Syllabus

Week	Dates	Section	Topics
1	01/15-01/19	1.1-1.2	Systems of Linear Equations, Row Echelon Form
2	01/22-01/26	1.3	Matrix Algebra
3	01/29-02/02	1.4-1.5	Elementary Matrices, Partitioned Matrices
4	02/05-02/09	2.1-2.3	Determinant of a Matrix, Determinant Properties, Cramer's Rule
5	02/12-02/16	3.1-3.2	Vector Spaces, Subspaces
6	02/19-02/23	3.3-3.4	Linear Independence, Basis & Dimension
	02/23		EXAM 1
7	02/26-03/02	3.5-3.6	Change of Basis, Row & Column Space
8	03/05-03/09	4.1-4.3	Linear Transformations, Matrix Representations, Similarity
9	03/12-03/16	5.1-5.2	Scalar Product, Orthogonal Subspaces
10	03/19-03/23	5.3-5.4	Least Squares Problems, Inner Product Spaces
11	04/02-04/06	5.5-5.6	Orthonormal Sets, Gram-Schmidt Orthogonalization
	04/06		EXAM 2
12	04/09-04/13	6.1-6.2	Eigenvalues and Eigenvectors, Systems of Linear ODEs
13	04/16-04/20	6.3-6.4	Diagonalization, Hermitian Matrices
14	04/23-04/27	6.6-6.7	Quadratic Forms, Positive Definite Matrices
15	04/30-05/04	6.8	Nonnegative Matrices