Course information :
| Lectures | Homework | |||||
| Dates | Sections | Topics | Problems | Quiz date | ||
| Jan | 9 | M | Introduction and administration | |||
| 11 | W | 1.1 | Introduction to matrices and systems of linear equations | (1.1) 12, 13, 14, 33, 35, 38 | Wed., 1/18 | |
| 13 | F | 1.2 | Echelon form and Gauss-Jordan elimination | (1.2) 15, 16, 20, 25, 28, 31, 36, 37, 44 | Mon., 1/23 | |
| 18 | W | 1.3 | Consistent systems of linear equations | (1.3) 3, 5, 6, 8, 10, 12, 14, 16, 18, 19, 22, 24 | Mon., 1/23 | |
| 20 | F | 1.5 | Matrix operations | (1.5) 1d, 5, 9c, 11a, 17, 27, 31, 41, 43, 45, 53, 54, 55, 58, 59 | Mon., 1/30 | |
| 23 | M | 1.5, 1.6 | Algebraic properties of matrix operations | (1.6) 1, 3, 11, 13, 15, 17, 21, 26, 27, 30, 41, 43, 46, 47, 49 | Mon., 1/30 | |
| 25 | W | 1.6 | Mon., 1/30 | |||
| 27 | F | 1.7 | Linear independence and nonsingular matrices | (1.7) 5, 9, 23, 31, 33, 47, 50, 51, 52, 53, 55, 57 | Mon., 2/6 | |
| 30 | M | 1.7, 1.9 | Matrix inverses and their properties | (1.9) 1, 6, 11, 13, 19, 27, 31, 39, 45, 48 | Mon., 2/6 | |
| Feb | 1 | W | 1.9 | (1.9) 51, 58, 61, 68, 70, 72, 74 | Mon., 2/6 | |
| 3 | F | 3.2 | Vector space properties of R^n | (3.2) 1, 3, 7, 9, 11, 15, 18, 19, 21, 23, 29, 30, 31, 32 | ||
| 6 | M | 3.3 | Examples of subspaces | (3.3) 1, 5, 11, 13, 17, 25, 27, 31, 35, 43, 49, 50, 51, 53 | Mon., 2/20 | |
| 8 | W | Exam I | Covers: Sections and Homework 1.1 - 1.3, 1.5 - 1.7, 1.9, 3.2; class notes: 1/11 - 2/3; quizzes: 1 - 4 | |||
| 10 | F | 3.3 | Mon., 2/20 | |||
| 13 | M | 3.4 | Bases for subspaces | (3.4) 3, 7, 9, 13, 19, 23, 27, 29, 30, 31, 33, 36, 38, 39 | Mon., 2/20 | |
| 15 | W | 3.4, 3.5 | Mon., 2/20 | |||
| 17 | F | 3.5 | Dimension | (3.5) 3, 7, 11, 13, 17, 23, 26, 27, 32, 33, 35, 36, 38, 39, 42 | Mon., 2/27 | |
| 20 | M | 3.6 | Orthogonal bases for subspaces | (3.6) 3, 7, 9, 17, 19, 23, 24, 25, 28 | Mon., 2/27 | |
| 22 | W | 3.6, 3.7 | Linear transformations | (3.7) 5, 9, 11, 15, 19, 23 ,25, 29, 35, 36, 39, 40, 44 | Mon., 2/27 | |
| 24 | F | Mon., 3/13 | ||||
| 27 | M | 4.1 | The eigenvalue problem for 2 x 2 matrices | (4.1) 1, 5, 9, 17, 18, 19 | Mon., 3/13 | |
| Mar | 1 | W | 4.2 | Determinants and the eigenvalue problem | (4.2) 9, 13, 19, 21, 23, 25, 26, 27, 28, 29, 30, 31a, 33 | Mon., 3/13 |
| 3 | F | Mon., 3/13 | ||||
| 13 | M | 4.3 | Elementary operations and determinants | (4.3) 5, 9, 13, 17, 23, 25, 27, 28 | Mon., 3/27 | |
| 15 | W | Exam II | Covers: Sections and Homework, 3.3-3.7, 4.1, 4.2; class notes: 2/6-3/3; quizzes: 5 - 7 | |||
| 17 | F | 4.4 | Eigenvalues and the characteristic polynomial | (4.4) 3, 9, 15, 20, 24, 25, 27, 30 | Mon., 3/27 | |
| 20 | M | Mon., 3/27 | ||||
| 22 | W | 4.5 | Eigenspaces and Eigenvectors | (4.5) 1, 5, 13, 17, 18, 21, 22, 23 | Mon., 3/27 | |
| 24 | F | 4.7 | Similarity transformations and diagonalization | (4.7) 5, 7, 15, 17, 25, 26, 27 b, c 31, 43 | Mon., 4/3 | |
| 27 | M | 4.7 | Mon., 4/3 | |||
| 29 | W | 5.2 | Vector spaces | (5.2) 5, 7, 9, 10, 13, 15, 18, 19, 25, 27, 29, 31, 33 | Mon., 4/3 | |
| 31 | F | 5.3 | Subspaces | (5.3) 1, 3, 5, 7, 9, 11, 17, 19, 21, 23, 24, 26, 27, 31 b, d | Mon., 4/10 | |
| Apr | 3 | M | 5.3 | Mon., 4/10 | ||
| 5 | W | 5.4 | Linear independence, bases, and coordinates | (5.4) 3, 5, 9, 10, 12, 13, 17, 19, 23, 24, 26, 27, 29, 31 | Mon., 4/10 | |
| 7 | F | 5.4, 5.5 | Dimension | (5.5) 1, 3, 5, 7, 13, 15, 16, 17 | ||
| 10 | M | 5.7 | Linear transformations | (5.7) 1, 3, 7, 9, 10, 11, 13, 19, 20, 22, 26, 27 | ||
| 12 | W | Exam III | Covers: Sections and homework, 4.3, 4.4, 4.5, 4.7, 5.2 - 5.5; class notes: 3/13 - 4/10; quizzes: 8 - 10 | |||
| 14 | F | 5.7 | ||||
| 17 | M | 5.8 | Operations with linear transformations | (5.8) 1, 3, 5, 9, 11, 18, 20, 21, 23, 24, 25, 26, 28 | ||
| 19 | W | 5.9 | Matrix representations for linear transformations | (5.9) 1, 2, 5, 7, 9, 13, 15, 19, 21, 23 | ||
| 21 | F | 5.10 | Change of basis and diagonalization | (5.10) 1, 3, 5, 7, 9 11, 13, 16, 18 | ||
| 24 | M | 5.10 | ||||
| 29 | Sat. | Final Exam, 2 - 5 | Cumulative | |||