Section 3 Course topics
¶The following table provides a list of the topics we'll attempt to cover in Math 1410, along with the dates I think we'll get to them, where they can be found in the textbook, and suggested 1 homework exercises.
In other words, problems that will increase your understanding of the material, and performance on the tests. You don't have to do them all.
| January 7 | Introduction and review | Chapter 1 |
| Homework: | 1.2 1–19 (odd); 1.3 1–17 (odd) | |
| January 9 | Introduction to vectors | 3.1, 3.2 |
| Homework: | 3.2 6–11, 16–24 | |
| January 14 | Dot and cross products | 3.3, 3.4 |
| Homework: | 3.3 5–23 (odd), 27–32; 3.4 7–14, 21–29 | |
| January 16 | Lines in three dimensions | 3.5 |
| Homework: | 3.5 5–28 | |
| January 21 | Planes in three dimensions | 3.6 |
| Homework: | 3.6 3–30 | |
| January 23 | Systems of linear equations | 4.1, 4.2 |
| Homework: | 4.1 1–13 (odd); 4.2 1–24 | |
| January 28 | Gaussian elimination | 4.3, 4.4 |
| Homework: | 4.3 1–22; 4.4 1–18 | |
| January 30 | Test #1 | Chapter 3 |
| February 4 | Vector solutions | 4.5, 4.5 |
| Homework: | 4.6 1–28 | |
| February 6 | Matrix algebra | 5.1, 5.2 |
| Homework: | 5.1 1–21; 5.2 1–43 | |
| February 11 | Matrix inverses | 5.3, 5.4 |
| Homework: | 5.3 1–11; 5.4 9–35 | |
| February 13 | Properties of the inverse | 5.5, 5.6 |
| Homework: | 5.5 1–9; 5.6 1–15 | |
| February 25 | Matrix transformations | 6.1 |
| Homework: | 6.1 1–18 | |
| February 27 | Test 2 | Chapters 4 and 5 |
| March 3 | Linear transformations | 6.2 |
| Homework: | 6.2 1–11 | |
| March 5 | Null space and column space | 6.4 |
| Homework: | 6.4 1–8 | |
| March 10 | Transpose and trace | 7.1, 7.2 |
| Homework: | 7.1 1–23 (odd); 7.2 1–19 (odd) | |
| March 12 | Determinants | 7.3, 7.4 |
| Homework: | 7.3 1–23 (odd); 7.4 1–29 (odd) | |
| March 17 | Applications of determinants | 7.5 |
| Homework: | 7.5 1–17 | |
| March 19 | Eigenvalues and eigenvectors | 8.1 |
| Homework: | 1.2 1–28 | |
| March 24 | Eigenvalues and eigenvectors | 2.1, 8.2 |
| Homework: | 2.1 1–35 (odd); 8.1 1–6 | |
| March 26 | Test 3 | Chapters 6 and 7 |
| March 31 | Diagonalization | 8.3 |
| Homework: | 8.3 1–8 | |
| April 2 | Review | |