Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework |
---|---|---|---|---|---|
0 | September 27 | 1.2 | Vector Spaces | Section 1.2: 1, 3, 4, 7, 10, 11, 12, 13, 14, 15, 17, 19 | Set #1: posted at CCLE due Oct. 3 (Thurs.) |
1 | September 30 October 2 October 4 | 1.3-1.4 1.5 1.6 | Subspaces; Linear Combinations and Span Linear Dependence and Linear Independence Bases and Dimensions | Section 1.3: 1, 2, 4, 8, 11, 12, 15, 20, 24 Section 1.4: 1, 2, 3, 4, 5, 10, 11, 15, 16 Section 1.5: 1, 2, 7, 11, 12 Section 1.6: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 15, 17, 26, 30, 31 | Set #2: posted at CCLE due Oct. 10 (Thurs.) |
2 | October 7 October 9 October 11 | 1.6 2.1 2.1 | Bases and Dimensions Linear Transformations, Nullspaces, and Ranges Linear Transformations, Nullspaces, and Ranges | Section 1.6: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 15, 17, 26, 30, 31 Section 2.1: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 24, 31 | Practice midterm at CCLE |
3 | October 14 October 16 October 18 | - - 2.2 | Review First Midterm The Matrix Representation of a Linear Transformation | Section 2.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16 | Set #3: posted at CCLE due Oct. 24 (Thurs.) |
4 | October 21 October 23 October 25 | 2.3 2.3 2.4 | Composition of Linear Transformations and Matrix Multiplication Composition of Linear Transformations and Matrix Multiplication Invertibility and Isomorphisms | Section 2.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16 Section 2.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15 Section 2.4: 1, 2, 3, 4, 8, 10, 12, 15 | Set #4: posted at CCLE due Oct. 31 (Thurs.) |
5 | October 28 October 30 November 1 | 2.4 2.5 4.4 | Invertibility and Isomorphisms The Change of Coordinate Matrix Determinants | Section 2.4: 1, 2, 3, 4, 8, 10, 12, 15 Section 2.5: 1, 2, 3, 4, 5, 9 Section 4.4: 1, 2, 3, 4 | Set #5: posted at CCLE due Nov. 7 (Thurs.) |
6 | November 4 November 6 November 8 | 5.1 5.1 - | Eigenvalues and Eigenvectors Eigenvalues and Eigenvectors Review | Section 5.1: 1, 2, 3, 4, 5, 6, 7, 26 | Practice midterm at CCLE |
7 | November 11 November 13 November 15 | - - 5.2 | Veterans Day holiday Second Midterm Diagonalizability | Section 5.2: 1, 2, 3, 4, 5, 7 | Set #6: posted at CCLE due Nov. 21 (Thurs.) |
8 | November 18 November 20 November 22 | 5.2 6.1 6.1 | Diagonalizability Inner Products and Norms Inner Products and Norms | Section 6.1: 1, 2, 3, 4, 6, 7, 12, 16, 24 | - |
9 | November 25 November 27 November 29 | 6.2 6.2 - | Gramm-Schmidt and Orthogonal Complement Gramm-Schmidt and Orthogonal Complement Thanksgiving holyday | Section 6.2: 1, 2, 4, 6, 7, 11, 12, 19 | Set #7: posted at CCLE due Dec. 5 (Thurs.) |
10 | December 2 December 4 December 6 | 6.3 6.3 - | The Adjoint of a Linear Operator The Adjoint of a Linear Operator Review | Section 6.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 15 | Practice final at CCLE |
11 | December 10 | - | Final Exam from 11:30AM to 2:30PM | - |