| Week | Material covered | Homework problems | Review and Solutions |
| 1 |
M 1/9: 1.1 - Systems of Linear Equations W 1/11: 1.2 - Row Reduction and Echelon Forms F 1/13: 1.3 - Vectors and Vector Equations |
1.1: 1, 3, 7, 9, 11, 13, 15, 17, 21, 25 1.2: 1, 3, 7, 9, 11, 13, 19, 21, 23, 25 1.3: 1, 3, 5, 7, 9, 11, 13, 17, 23, 27 |
Quiz 1
Answers to T/F questions |
| 2 |
M 1/16: No class (Martin Luther King Jr. Day) W 1/18: 1.4 - The Matrix Equation Ax=b F 1/20: 1.5 - Solution Sets of Linear Systems |
1.4: 1, 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 35 1.5: 1, 3, 5, 9, 11, 13, 19, 23, 27, 33, 35 |
Quiz 2
Answers to T/F questions |
| 3 |
M 1/23: 1.7 - Linear dependence and independence W 1/25: 1.8 - Linear transformations F 1/27: 1.9 - The matrix of a linear transformation |
1.7: 1, 3, 7, 9, 11, 15, 17, 19, 21, 27 1.8: 1, 3, 5, 7, 9, 11, 13, 15, 17, 21 1.9: 1, 3, 5, 7, 11, 15, 19, 23 |
Quiz 3
Answers to T/F questions |
| 4 |
M 1/30: 2.1 - Matrix algebra W 2/1: 2.2 - The inverse of a matrix F 2/3: 2.3 - Characterizations of invertible matrices |
2.1: 1, 3, 5, 7, 9, 13, 15, 17, 22, 31 2.2: 1, 3, 5, 7, 9, 11, 13, 15, 21, 31 2.3: 1, 3, 5, 7, 11, 13, 15, 21, 33, 37 |
Quiz 4
Answers to T/F questions |
| 5 |
M 2/6: 2.5 - Matrix factorization W 2/8: 3.1 - Introducing determinants F 2/10: 3.2 - Properties of determinants |
2.5: 1, 3, 5, 7, 11 3.1: 1, 3, 5, 7, 11, 13, 19, 21, 27, 29 3.2: 9, 11, 13, 17, 19, 25, 27, 29 |
Quiz 5
Answers to T/F questions |
| 6 |
M 2/13: 3.3 - Cramer's rule, volume, and linear transformations W 2/15: 4.1 - Vector spaces and subspaces F 2/17: 4.2 - Null spaces, column spaces, and linear transformations |
3.3: 1, 5, 7, 9, 13, 15, 17, 19, 21 4.1: 1, 3, 5, 7, 11, 15, 17, 21, 23 4.2: 1, 3, 5, 7, 9, 11, 15, 23, 25 |
Quiz 6 |
| 7 |
M 2/20: 4.3 - Linearly independent sets and bases W 2/22: Review for first midterm F 2/24: Midterm 1 |
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Practice Midterm 1 |
| 8 |
M 2/27: 4.3 - Linearly independent sets and bases, ctd. W 3/1: 4.4 - Coordinate systems F 3/3: 4.5 - The dimension of a vector space |
4.3 1, 3, 5, 7, 9, 11, 13, 15, 19, 23 4.4 1, 3, 5, 7, 9, 11, 13, 17 4.5 1, 3, 5, 7, 9, 11, 13, 15, 17 |
Quiz 7 |
| 9 |
M 3/6: 4.6 - Rank W 3/8: 4.7 - Change of basis F 3/10: 5.1 - Eigenvectors and eigenvalues |
4.6 1, 3, 5, 7, 9, 11, 13, 17, 19, 20, 21, 25 4.7 1, 3, 5, 7, 9, 11, 13, 15 5.1 5, 7, 9, 13, 15, 17, 19, 23, 25, 31 |
Quiz 8 |
| 10 |
M 3/13: 5.2 - The characteristic equation W 3/15: 5.3 - Diagonalization F 3/17: 5.4 - Eigenvectors and linear transformations |
5.2 1, 3, 7, 9, 13, 15, 17, 23 5.3 1, 3, 7, 11, 13, 17, 25, 27, 31 5.4 1, 3, 5, 7, 9, 11, 13, 15, 17, 29 |
Quiz 9 |
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Spring Break |
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| 11 |
M 3/27: 5.5 - Complex Eigenvalues W 3/29: 4.9 - Applications to Markov Chains F 3/31: 5.7 - Differential Equations |
5.5 1, 3, 5, 13, 15, 17, 19 4.9 1, 3, 5, 7, 9, 11, 13 5.7 1, 3, 5, 7, 9, 11, 13 |
Quiz 10 |
| 12 |
M 4/3: 6.1 - Dot Products W 4/5: Review for second midterm F 4/7: Midterm 2 |
6.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25
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Practice Midterm 2
Grading key for Midterm 2 |
| 13 |
M 4/10: 6.2 - Orthogonal Sets W 4/12: 6.3 - Orthogonal Projections F 4/14: 6.4 - The Gram-Schmidt Process |
6.2 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 6.3 3, 5, 7, 9, 11, 13, 15, 17 6.4 1, 3, 5, 7, 9, 11 |
Quiz 11 |
| 14 |
M 4/17: 6.5 - The Method of Least Squares W 4/19: 6.6 - Applications to Linear Models F 4/21: 7.1 - Diagonalization of Symmetric Matrices |
6.5 1, 3, 5, 7, 9, 11, 13, 17, 18 6.6 1, 2, 3, 4, 7, 9 7.1 7, 9, 11, 13, 15, 17, 19, 23 |
Quiz 12 |
| 15 |
M 4/24: 7.4 - Singular Value Decomposition W 4/26: Catch-up and Review F 4/28: Final Exam Review |
7.4 1, 3, 5, 7, 9, 11
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Quiz 13 |
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Final Exam: Tuesday May 2, 3:30-5:30 PM |
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