| Midterm 2 has been moved to Monday 7/30. |
| Quiz 4 has been moved to Thursday 7/26. |
| Midterm 1 has been moved to Monday 7/16. |
| Quiz 2 has been moved to Wednesday 7/11. |
| Section | Problems | |
|---|---|---|
| 1.2 | 7-14,29-31 | |
| 1.7 | 1-4,11,15-17,21,22 | Quiz1 |
| 1.8 | 3,9,11,24-26,30,37(M) | |
| 1.9 | 1,2,5,6,8-13,23,24 | |
| Groups | problem1.pdf| solution1.pdf | Quiz2 |
| 1.9 | 25-30 | |
| 2.2 | 1-4,9,10,12,24 | |
| 2.3 | 1-8,13,14,18,19,30,44,45 | |
| 2.6 | 9-11,13 | |
| Permutations | problem2a.pdf | solution2a.pdf | |
| 3.1 | 15-18 | Exam1 |
| Determinants | problem2.pdf| solution2.pdf | |
| 3.2 | 1-4,11-14,27-29,32-36 | |
| 3.3 | 1-6,11-16 | |
| 3:Supplementary | 1 | Quiz3 |
| 4.1 | 1-3,5-8,25-30,32,33 | |
| 4.1 | 11-18 | |
| 4.3 | 1-8,11,12,15,16,21-24,31-35 | |
| 4.5 | 1-12,21-24 | Quiz 4 |
| 4.2 | 3-6,25,26,30-34 | |
| 4.4 | 1-14,23-32 | |
| 4.6 | 1-4,5,10,13,17,18,19-25 | |
| 4.7 | 1,2,6,7-10,13 | Exam 2 |
| Finite fields and codes | problem3.pdf| solution3.pdf | |
| Linear trafos and eigenvalues | problem5.pdf| solution5.pdf | Quiz 5 |
| Bases and dimension | problem4.pdf| solution4.pdf | |
| 5.3 | 7,9,11,13,15,17,19 | |
| 5.4 | 1,3,5,7,9,13,15,17,18 | Final Exam |
We will study linear equations, vector spaces, linear transformations, matrix theory of equations, determinants, eigenvalues, inner products, orthogonality, symmetric and Hermitian matrices, quadratic forms and applications of linear algebra. I will focus on giving lots of examples and applications rather than struggling with technical proofs.
We will use David C. Lay: Linear Algebra and its applications as a textbook for the course. You can get it at the Penn Bookstore.
You should be familiar with the concepts of linear algebra taught in Math 240. We will go over most of the topics covered there again but it helps if you have seen it before.