The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
| Date | Sections in Text | Description | Practice Problems |
|---|---|---|---|
| (W) Sep 12 | 1.1 | Systems of Linear Equations | §1.1: # 1, 3, 7-10 |
| (F) Sep 14 | 1.2 |
Row Reduction and Echelon Forms HW 0 due in class |
§1.2: # 1, 7, 13, 17 |
| (M) Sep 17 | 1.3 | Vector Equations | §1.3: # 7, 9, 11, 13, 19, 25 |
| (Tu) Sep 18 x-hour |
Section 01 Computing session |
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| (W) Sep 19 | 1.4 - 1.5 |
The Matrix Equation Ax=b Solution Sets of Linear Systems |
§1.4 # 11, 15, 19, 23 §1.5 # 5, 9, 23, 29, 31 |
| (Th) Sep 20 x-hour |
Section 02 Computing session |
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| (F) Sep 21 | 1.7 | Linear Independence HW 1 due 4 pm |
§1.7 # 1, 5, 7, 11, 23, 25, 31 |
| (M) Sep 24 | 1.8 | Introduction to Linear Transformations | §1.8 # 1, 3, 7, 9, 17, 19, 33 |
| (Tu) Sep 25 x-hour |
Section 01 Ch. 1 Applications |
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| (W) Sep 26 | 1.9 | The Matrix of a Linear Transformation | §1.9 # 1-9odd, 15, 17, 25 |
| (Th) Sep 27 x-hour |
Section 02 Ch. 1 Applications |
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| (F) Sep 28 | 2.1 |
Matrix Operations HW 2 due 4 pm |
§2.1 # 1, 3, 7, 9, 19, 21 |
| (M) Oct 1 | 2.2 |
The Inverse of a Matrix |
§2.2 # 1, 5, 7, 9, 11, 25, 37 |
| (Tu) Oct 2 | Exam 1 4:30-6:30pm | ||
| (W) Oct 3 | 2.3 | Characterizations of Invertible Matrices | §2.3 # 1,3,7, 11, 13, 23, 27 |
| (F) Oct 5 | 3.1 - 3.2 |
Introduction to Determinants Properties of Determinants HW 3 due 4 pm |
§3.1 # 1, 3, 9, 11, 15, 17, 41 §3.2 # 1-4, 5,9, 15, 17, 25, 31 |
| (M) Oct 8 | 4.1 |
Vector Spaces and Subspaces |
§4.1 # 1-11odd, 21, 23, 25-29all |
| (Tu) Oct 9 x-hour |
Section 01 Proof of the Invertible Matrix Theorem; Applications |
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| (W) Oct 10 | 4.2 |
Null Spaces (aka Kernels), Column Spaces, and Linear Transformations |
§4.2 # 1, 3, 7, 11, 17, 19, 25, 29, 31 |
| (F) Oct 12 | 4.3 | Linearly Independent Sets and Bases HW 4 due 4 pm |
§4.3 # 1-15odd, 21, 23 |
| (M) Oct 15 | 4.4 | Coordinate Systems | §4.4 # 1-13 odd, 23, 24, 27 |
| (Tu) Oct 16 x-hour |
Section 01 Ch. 2, 3, and 4 Applications |
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| (W) Oct 17 | 4.5 | The Dimension of a Vector Space | §4.5 # 1, 3, 5, 7, 11, 19, 21, 23 |
| (Th) Oct 18 x-hour |
Section 02 Ch. 2, 3, and 4 Applications |
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| (F) Oct 19 | 4.6 |
Rank HW 5 due 4 pm |
§4.6 # 1, 3, 7, 9, 11, 17 |
| (Sat) Oct 20 | 4.7 | Change of Basis | §4.7 # 1-15 odd |
| (M) Oct 22 | 5.1 | Eigenvectors and Eigenvalues | §5.1 # 5, 7, 15, 17, 21, 23, 25, 35 |
| (Tu) Oct 23 |
Exam 2 4:30-6:30pm |
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| (W) Oct 24 | 5.2 | The Characteristic Equation | §5.2 # 3, 9, 15, 18, 21, 24 |
| (F) Oct 26 | 5.3 |
Diagonalization HW 6 due 4 pm |
§5.3 # 1, 3, 5, 11, 13, 21, 23, 25, 27, 31 |
| (M) Oct 29 | 6.1 | Inner Product, Length, and Orthogonality | §6.1 # 1-19 odd, 25, 27, 31 |
| (Tu) Oct 30 x-hour |
4.9, 10.1 |
Section 01 Applications to Markov Chains Chapter 10: Markov Chains |
§4.9 # 1-13 odd §10.2 |
| (W) Oct 31 | 6.2 | Orthogonal Sets | §6.2 # 1, 3, 7-15 odd, 23, 27, 29 |
| (Th) Nov 1 x-hour |
4.9, 10.1 |
Section 02 Applications to Markov Chains Chapter 10: Markov Chains |
§4.9 # 1-13 odd §10.2 |
| (F) Nov 2 | 6.3 |
Orthogonal Projections HW 7 due 4 pm |
§6.3 # 1, 3, 7, 11, 13, 17, 21 |
| (M) Nov 5 | 6.4 | The Gram-Schmidt Process | §6.4 # 1-15odd, 17-19 |
| (Tu) Nov 6 x-hour |
10.2 |
Section 01 Google's PageRank Chapter 10: Markov Chains PageRank article |
§10.2 # 5, 7, 21, 22, 25, 26, 34, 35 |
| (W) Nov 7 | 7.1 | Diagonalization of Symmetric Matrices | §7.1 # 1-9odd, 13, 15, 24, 25, 26, 27, 29 |
| (Th) Nov 8 x-hour |
10.2 |
Section 02 Google's PageRank Chapter 10: Markov Chains PageRank article |
§10.2 # 5, 7, 21, 22, 25, 26, 34, 35 |
| (F) Nov 9 | 7.4 |
Singular Value Decomposition (SVD) HW 8 due 4 pm |
§7.4 # 1-9odd, 13-15, 17, 19 |
| (M) Nov 12 | 7.5 |
Applications of SVD: The Four Fundamental Spaces and Principal Component Analysis (PCA) |
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Final Exam |