Week 1 | Class Topic | Homework From |
1/20 | Matrices & Vectors | 1.1) 1, 3, 5, 9, 17, 19, 23, 25, 37-56, 71, 75, 79, 81, 82 |
1/23 | Linear combinations | 1.2) 1, 3, 9, 15, 29, 31, 35, 37, 39,45-49, 55-57, |
Week 2 |
1/27 | Snow Day! | |
1/30 | Systems of linear equations (Quiz on 1.1 & 1.2) |
1.3) 1, 3, 23, 25, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57,58,60,61, 66-72, 74-76, 81 |
Week 3 |
2/3 | Gaussian elimination (Quiz on 1.3) |
1.4) 1, 3, 5, 7, 11, 13, 17, 19, 23, 27, 35, 37, 59-65,67-72, 73-75,81-82,88,91 |
2/6 | Span | 1.6) 1, 3, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 43, 45-64, 70 |
Week 4 |
2/10 | Linear dependence and independence (Quiz on 1.4 & 1.6) |
1.7) 1, 5, 13, 15, 23, 25, 29, 33, 39, 41, 51, 53, 57,63-82, 87, 89 |
2/13 | Matrix Multiplication | 2.1) 5, 7, 9, 11, 13, 15, 17, 19, 22, 23, 25, 29, 31,33-49 (skip: 38, 41, 42,45, 48) |
Week 5 |
2/17 | Invertibility (Quiz on 1.7 & 2.1) |
2.3) 1, 3, 33-44,(skip 35,38,41), 50, 54, 61,75, 77 |
2/20 | Inverse of a Matrix | 2.4) 1, 3, 7, 9, 35-50 (skip: 47,50), 64 |
Week 6 |
2/24 | Exam #1 | |
2/27 | Linear Transformations | 2.7) 7,11,15,19,36,38,49,50,57,61,67,97 |
Week 7 |
3/3 | Determinants; Cofactor expansion (Quiz on 2.4 & 2.7) |
3.1) 1, 3, 9, 11, 13, 14, 15, 21, 23, 27, 29, 31, 37, 43, 45-63 |
3/6 | Properties of Determinants | 3.2) 5, 7, 11, 13, 17, 21, 27, 33, 39-58, 67, 69-71 |
Week 8 |
3/10 | Subspaces (Quiz on 3.1 & 3.2) |
4.1) 1, 5, 11, 13, 19, 21, 27,47,48,51, 57-62, 67, 69, 72, 73, 81, 83, 85, 89, 93 |
3/13 | Subspaces (con't) | Work 4.1 problems |
Week 9 |
3/17 | Spring Break | |
3/20 | Spring Break |
Week 10 |
3/24 | Basis and dimension (Quiz on 4.1) |
4.2) 1, 3, 5, 7, 17, 19, 21, 25, 27, 33-50, 53, 54 |
3/27 | The dimension of matrix subspaces | 4.3) 1, 3, 5, 7, 9, 11, 15, 17, 19, 27,41-57, 59-60 |
Week 11 |
3/31 | Eigenvalues and eigenvectors (Quiz on 4.2 & 4.3) |
5.1) 1, 3, 7, 13, 17, 23, 41-44, 46, 50, 51, 55-60, 63, 67 |
4/3 | Exam #2 |
Week 12 |
4/7 | Characteristic polynomial (No Quiz) |
5.2) 1, 5, 9, 11, 13, 15, 17, 19, 21, 41,53-72 (skip: 61,62,66,67), 81 |
4/10 | Diagonalization of a matrix | 5.3)15, 17, 19,29-46 (skip: 36-40) 49, 51,55,57, 61,73,81, 82 |
Week 13 |
4/14 | Diagonalization of a matrix (con't); Geometry of vectors (Quiz on 5.1 & 5.2) |
5.3) (con't) 1, 3, 5, 7, 11, 36-40, 47,48,63,65, 77, 78, 83, 85 |
4/17 | Geometry of vectors | 6.1) 3, 5, 7, 9, 11, 13, 15, 17, 25, 29, 33, 37, 43, 49, 51, 53, TF: 61-80, 95, 97, 98 |
Week 14 |
4/21 | Orthogonality (Quiz on 5.3 & 6.1) |
6.2) 1, 3, 7, 9, 13, 17, 21, TF: 41-51 |
4/24 | Orthogonal projection | 6.3) 1, 5, 8 |
Week 15 |
4/28 | Orthogonal projection; Least squares (Quiz on 6.2 & 6.3) |
6.3) 9, 11, 17, 19, 21, TF: 33-56, 59, 61 |
5/1 | - |
Finals Week |
5/7 | Final Exam (12-3PM) in Tillet 264 |