| Main page | Homework |
|---|
Syllabus is subject to change. More specific textbook readings will be added as the quarter progresses.
| Week 1 | ||
|---|---|---|
| Weds 4 Jan | What is linear algebra? What is a vector space? | Section 2.1 |
| Fri 6 Jan | Vector spaces axiomatically; proofs from axioms and definitions. | Sections 2.1, 2.3, 4.1 |
| Week 2 | ||
| Mon 9 Jan | Linear combinations, span, subspaces. | Section 4.1 |
| Weds 11 Jan | Linear dependence and independence. | Sections 5.1, 5.2, 6.1 |
| Thurs 12 Jan | More examples of vector spaces and subspaces. | Chapter 3 and onward |
| Fri 13 Jan | Linear independence and bases. | Section 6.1, 6.2, 6.3 |
| Week 3 | ||
| Mon 16 Jan | Martin Luther King, Jr. Day - no classes | |
| Weds 18 Jan | Bases and finite-dimensional vector spaces. | Section 6.2, 6.3 |
| Thurs 19 Jan | More examples from the material so far, question time. | |
| Fri 20 Jan | Linear transformations. | Section 8.1, 8.2, 8.3 |
| Fri 20 Jan | Half-period quiz Review sheet (pdf). | Chapter 2-6 |
| Week 4 | ||
| Mon 23 Jan | Linear transformations. | Section 8.3, 8.4, 8.5 |
| Weds 25 Jan | Linear transformations. | Section 8.5 |
| Thurs 26 Jan | More examples of linear transformations and their properties. | Chapter 8-9 |
| Fri 27 Jan | Isomorphisms. | Section 8.6 |
| Week 5 | ||
| Mon 30 Jan | Isomorphisms; starting matrices. | Section 8.6, 10.1-3 |
| Weds 1 Feb | Linear transformations and matrices. | Section 10.1-3 |
| Thurs 2 Feb | Time for examples and questions. | |
| Fri 3 Feb | Linear transformations and matrices. | Section 10.1-3 |
| Fri 3 Feb | Half-period quiz Review sheet (pdf). | Chapter 8-9 |
| Week 6 | ||
| Mon 6 Feb | Linear transformations and matrices. | Section 10.3-4 |
| Weds 8 Feb | Review for midterm. | |
| Weds 8 Feb | Midterm, 4:00 - 6:00 pm, Carpenter Room 13 Review sheet (pdf). | Chapter 2-10 |
| Thurs 9 Feb | No x-hour this week. | |
| Fri 10 Feb | Winter Carnival - no classes | |
| Week 7 | ||
| Mon 13 Feb | Linear transformations and matrices. | Section 10.4, 11.1-2 |
| Weds 15 Feb | Matrices relative to arbitrary bases. | Section 11.1-3, 12.1 |
| Thurs 16 Feb | More coordinate examples. | Chapter 11 |
| Fri 17 Feb | Systems of linear equations. Handout about using row reduction to find inverses. (pdf) | Section 13.2 |
| Week 8 | ||
| Mon 20 Feb | Rank, eigenvalues, eigenvectors. | Section 14.1-2 |
| Weds 22 Feb | Determinants, characteristic polynomial. | Section 14.3-4 |
| Thurs 23 Feb | Eigen-examples and question time. | Chapter 14 |
| Fri 24 Feb | Diagonalization. | Section 14.5 |
| Fri 24 Feb | Half-period quiz | Chapter 11-13 |
| Week 9 | ||
| Mon 27 Feb | Diagonalization and Chapter 14 recap. | Chapter 14 |
| Weds 29 Feb | Inner products. | Section 15.1-2 |
| Thurs 1 Mar | Examples and questions. | |
| Fri 2 Mar | Inner products and isometries. | Section 15.2-3 |
| Week 10 | ||
| Mon 5 Mar | The Riesz representation theorem. | Section 15.4 |
| Weds 7 Mar | Wrap-up and review. | |
| Tues 13 Mar | Final Exam, 8:00 - 11:00 am, Kemeny 105 Practice problems volume 1 (answers) and volume 2 (answers), topics review sheet. | |
Last modified 11 Mar 2012.