Last updated on Aug. 30, 2010.
Date | Topic | Reading | Homework |
---|---|---|---|
Sep. 9 | vectors and matrices, linear combinations, matrix-vector products | 1.1, 1.2, Proofs | #1 due on Sep. 14 1.1: 6, 24, 33, *81, 82; 1.2: 6, 9, 33, 42 |
Sep. 14 | systems of linear equations | 1.3 | #2 due on Sep. 21 1.2: 70, 80; 1.3: 6, 9, 32, 45, 77; 1.4: 10, 40, 47, 88 |
Sep. 16 | Gaussian elimination | 1.4 | |
Sep. 21 | Span and linear dependence | 1.6, 1.7 | #3 due on Sep. 28 1.6: 2, 17, 26, 67; 1.7: 5, 40, 55; 2.1: 1, 12, 27, 65 |
Sep. 23 | matrix multiplication | 2.1 | |
Sep. 28 | invertible and elementary matrices | 2.3, 2.4 | #4 due on Oct. 5 2.3: 3, 14, 27; 2.4: 10, 22, 67; 2.7: 1, 10, 60, 78; 2.8: 3, 24, 69 |
Sep. 30 | linear transformations | 2.7, 2.8 | |
Oct. 5 | determinants | 3.1 | #5 due on Oct. 12 3.1: 5, 20, 24, 37, 72, *80 |
Oct. 7 | Midterm 1: covers Chapters 1 and 2 (except 1.5, 2.2, 2.5 and 2.6) | ||
Oct. 12 | determinants (cont'd) | 3.2 | #6 due on Oct. 19 3.2: 1, 18, 28, 63, 72, *82; 4.1: 5, 11, 26, 40, 77 |
Oct. 14 | subspaces | 4.1 | |
Oct. 19 | basis and dimension | 4.2, 4.3 | #7 due on Oct. 26 4.2: 5, 18, 63; 4.3: 10, 35, 63, 74; 4.4: 8, 30, 99; 4.5: 5, 15, 48 |
Oct. 21 | coordinate systems | 4.4, 4.5 | |
Oct. 26 | eigenvalues and eigenvectors | 5.1 | #8 due on Nov. 4 5.1: 1, 16, 29, 34, 69; 5.2: 15, 23, 38, 75, 78, *86 |
Oct. 28 | characteristic polynomial | 5.2 | |
Nov. 4 | diagonalization | 5.3, 5.4 | #9 due on Nov. 9 5.3: 17, 49, 64, 84, *88; 5.4: 26, 75 |
Nov. 9 | the geometry of vectors | 6.1 | #10 due on Nov. 16 6.1: 5, 12, 41, 95 |
Nov. 11 | Midterm 2: covers Chapters 3 to 5 (except 5.5) | ||
Nov. 16 | orthogonal vectors | 6.2 | #11 due on Nov. 23 6.2: 3, 14, 17, 55; 6.3: 3, 12, 19, *60, 68; 6.4: 3 |
Nov. 18 | orthogonal projections | 6.3, 6.4 | |
Nov. 23 | orthogonal matrices and operators | 6.5 | #12 due on Nov. 30 6.5: 6, 38, 44, 46, 54; 6.6: 18, 41, 48, *55, 59, 68 |
Nov. 25 | symmetric matrices | 6.6 | |
Nov. 30 | vector spaces and their subspaces | 7.1 | #13 due on Dec. 7 7.1: 2, 29, 60, 62, 91; 7.2: 1, 15, 25, 30, *49 |
Dec. 2 | linear transformations | 7.2 | |
Dec. 7 | basis and dimension | 7.3, 7.4 | #14 due on Dec 14 7.3: 3, 10, 51, 68; 7.4: 7, 14, 16, 42, 46; 7.5: 11, 47, 71, *81 |
Dec. 9 | inner product spaces | 7.5 | |
Dec. 14 | Review |