Problems are from the assigned textbook: David Poole, Linear Algebra: A Modern Introduction, 3rd edition, Brooks/Cole, 2011.
The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.
| Date | Topic | Problems |
|---|---|---|
| Sept 10 | Gaussian elimination | §2.2; #1, 3, 5, 25, 27, 29, 31, 33 |
| Sept 13 | quiz #1 | |
| Sept 14 | consistency & uniqueness | §2.2; #39, 41, 42, 43, 45 |
| applications | §2.4; #3, 5, 7, 9, 13, 15, 17 | |
| Sept 20 | quiz #2 | |
| Sept 22 | matrix operations | §3.1; #1, 3, 5, 7, 9, 10, 11, 17, 21, 35, 36 |
| Sept 27 | quiz #3 | |
| Sept 29 | matrix algebra | §3.2; #1, 3, 22, 23, 27 |
| matrix inverse | §3.3; #3, 7, 11, 21, 22, 23, 52, 53, 59 | |
| Oct 4 | quiz #4 | |
| Oct 4 | applications of matrix algebra | §3.7; #10, 11, 12, 51, 52, 53, 55, 61, 63, 65, 71 |
| Oct 12 | midterm exam #1 | |
| Oct 12 | determinants | §4.2; #1, 7, 10, 13, 15, 45, 47, 49, 53, 54 |
| span & linear independence | §2.3; #1, 3, 5, 18, 19 | |
| Oct 25 | quiz #5 | |
| Oct 25 | span & linear independence | §2.3; #7, 9, 11, 13, 15, 23, 25, 26, 43 |
| change of basis | §6.3; #1, 2, 3, 4 | |
| Nov 1 | quiz #6 | |
| Nov 1 | complex numbers | see problems posted on course website |
| Nov 8 | quiz #7 | |
| Nov 8 | eigenvalues & eigenvectors | §4.3; #1, 3, 7, 15, 16, 17 |
| diagonalization | §4.4; #9, 11, 17, 18, 19, 21 | |
| Nov 15 | quiz #8 | |
| Nov 21 | midterm exam #2 | |
| Nov 26 | differential equations | see problems posted on course website |
| orthogonality | §5.1; #1, 3, 5, 7, 9, 10 | |
| orthogonal projection | §5.2; #15, 16, 17 | |
| Nov 29 | quiz #9 | |
| Nov 30 | final lecture | |
| Dec 5 | final exam |
January 10, 2013