The following course plan is preliminary. In particular the quiz problems may changed before they are presented in class.
Lecture | Date | Content | Chapters | Quiz problems |
1 | October 1 | Introduction, Systems of linear equations | 1.1 | 1.1: 1, 3, 7, 9, 11, 13, 15, 17 |
2 | October 15 | Matrices, Vectors, Dot product | 1.2, Appendix A | 1.1: 19, 21, 27, Handout: 1, 2, 3, 4, 5 |
3 | October 22 | Lines and planes | Handout | Handout: 6, 7, 8, 9, 10, 11, 12, 13 |
4 | October 29 | Gauss-Jordan elimination | 1.2 | 1.2: 1, 5, 7, 11, 25, 27, 35, 41 |
5 | November 5 | Solutions to systems of linear equations | 1.3 | 1.3: 1, 3, 7, 13, 15, 19, 25, 55 |
6 | November 12 | Linear transformations | 2.1 | 2.1: 1, 5, 7, 17, 21, 33, 39, 49 |
7 | November 19 | Midterm Exam | ||
8 | November 26 | Linear transformations and geometry | 2.2 | 2.2: 3, 7, 9, 13, 19, 21, 23, 29 |
9 | December 3 | Matrix multiplication | 2.3 | 2.3: 1, 5, 11, 13, 33, 51, 55, 63 |
10 | December 10 | Matrix inverse | 2.4 | 2.4: 7, 9, 11, 13, 21, 29, 35, 43 |
11 | December 17 | Determinants | 6.1 | 6.1: 3, 5, 7, 17, 23, 27, 31, 35 |
12 | January 9 | Properties of determinants | 6.2 | 6.2: 1, 5, 7, 9, 13, 15, 29, 39 |
13 | January 10 (Period 1) | Geometric interpretation of determinants | 6.3 | 6.3: 1, 3, 7, 9, 23, 25, 27, 33 |
14 | January 21 | Review | 1, 2, 6 | |
15 | January 28 | Final Exam |