Math 315 - Linear Algebra

Textbook: Linear Algebra with Applications, 3/ed, - by Otto Bretscher
Last updated: 4/9/2008
For more information, download the course syllabus: Math315Syllabus.pdf

Week	Date	Section	Topics	Homework
1	Jan. 9	1.1, 1.2	Linear Systems, Matrices, Vectors, Gauss-Jordan Elimination	§ 1.1 # 1, 3, 8, 11, 14, 15, 16, 20, 29, 32 § 1.2 # 1, 2, 4, 5, 7, 11, 13, 18, 30, 34
2	Jan. 16	1.3, 2.1	Matrix Algebra, Linear Transformations	§ 1.3 # 1-20, 23, 34, 36, 37 § 2.1 # 1-7, 24, 25, 26, 32
3	Jan. 23	2.2, 2.3	Linear Transformations in Geometry, Inverses	§ 2.2 # 1, 2, 4, 5, 6, 7, 10, 11, 19, 20 § 2.3 # 1, 2, 3, 4, 7, 9, 10, 13, 19, 34
4	Jan. 30	2.4, 3.1	Matrix Products, Image and Kernel of a Linear Transformation	§ 2.4 # 1, 2, 3, 4, 7, 13, 15, 29 § 3.1 # 1, 2, 5, 8, 13, 15, 17, 18, 23, 30, 31, 34
5	Feb. 6	3.2	Subspaces, Bases and Linear Independence	§ 3.2 # 1, 2, 3, 8, 10, 15, 19, 26, 27, 29, 32, 34
6	Feb. 13	3.3	Dimension, Review for Midterm	§ 3.3 # 1, 2, 3, 4, 5, 6, 19, 21, 23, 28, 30
7	Feb. 20	Midterm
8	Feb. 27	3.4, 5.1	Coordinates, Orthogonality	§ 3.4 # 1, 2, 3, 7, 10, 16, 19, 24, 30 § 5.1 # 1, 2, 4, 5, 10, 12, 17, 26, 27, 29
	Mar. 5		SPRING BREAK -- NO CLASS
9	Mar. 12	5.2, 5.3	Gram-Schmidt Process, Orthogonal Transformations	§ 5.2 # 1- 4, 8, 14, 32, 33 § 5.3 # 1- 20, 28, 29, 31, 44
10	Mar. 19	6.1, 6.2	Determinants, Properties of Determinants	§ 6.1 # 1, 2, 5, 6, 7, 8, 11, 16, 31, 33, 37, 39 § 6.2 # 1 - 8, 11- 16, 38, 39, 41
11	Mar. 26	6.3, 7.1	Geometric Interpretation of Determinants, Cramer's Rule, Introduction to Eigenvectors and Dynamical Systems	§ 6.3 # 1, 2, 3, 11, 13, 14, 22, 24 § 7.1 # 1, 5, 6, 8, 15, 16, 17, 24, 25, 27
12	April 2	7.2, 7.3	Eigenvalues, Eigenvectors	§ 7.2 # 1, 2, 3, 5, 6, 7, 9, 10, 15, 16, 22 § 7.3 # 1, 2, 3, 5, 8, 15, 27, 37
13	April 9	7.3, 7.4	Algebraic vs. Geometric Multiplicity, Eigenbasis, Diagonalization	§ 7.3 # 19, 20, 28, 29, 31, 39 § 7.4 # 1, 2, 3, 4, 10, 11, 12, 15, 19, 22, 28, 59
14	April 16		Review
15	April 23	Final	Comprehensive