Mathematics V2010 section 003
Last updated on Dec. 6, 2010.
Date | Topic | Reading | Homework |
---|---|---|---|
Sep. 7 | linear systems | 1.1 | #1 due on Sep. 14 1.1: 1, 4, 7, 18, 29; 1.2: 1, 4, 7, 18, 19, 45, *48 |
Sep. 9 | Gauss-Jordan elimination | 1.2 | |
Sep. 14 | matrices and vectors | 1.3 | #2 due on Sep. 21 1.3: 1, 2, 9, 18, 20, 24, 47, 49; 1.TF: 1–6; 2.1: 1, 43 |
Sep. 16 | linear transformations | 2.1, 2.2 | |
Sep. 21 | matrix product | 2.3 | #3 due on Sep. 28 2.2: 20, 29; 2.3: 14, 18, 27, 38, *68; 2.4: 1, 19, 48, 67, 76; 2.TF: 4, 6, 8, 26 |
Sep. 23 | the inverse of a linear transformation | 2.4 | |
Sep. 28 | subspaces | 3.1 | #4 due on Oct. 5 3.1: 2, 10, 14, 34, 40, 51; 3.2: 6, 8, 16, 33, 41, *51 |
Sep. 30 | linear independence | 3.2 | |
Oct. 5 | Midterm 1: covers Chapters 1 and 2 | ||
Oct. 7 | dimension and coordinates | 3.3, 3.4 | #5 due on Oct. 12 3.3: 15, 22, 31, 83; 3.4: 3, 15 |
Oct. 12 | linear spaces | 4.1 | #6 due on Oct. 19 3.4: 21, 61; 3.TF: 1–5; 4.1: 2, 10, 12, 36, 47; 4.2: 51, 55, 65, 70, 77, *78 |
Oct. 14 | linear transformations | 4.2 | |
Oct. 19 | linear transformations (cont'd) | 4.3 | #7 due on Oct. 26 4.3: 4, 10, 11, 30, 60, 70; 4.TF: 4–6, 12, 13; 6.1: 10, 20, 40, *47, 53; 6.2: 16 |
Oct. 21 | determinants | 6.1, 6.2 | |
Oct. 26 | Cramer's rule | 6.3 | #8 due on Nov. 9 6.2: 6, 20, 30, *31, 52; 6.3: 24, 25, 38; 6.TF: 2–6; 7.1: 12, 40 |
Oct. 28 | eigenvalues and eigenvectors | 7.1 | |
Nov. 4 | Midterm 2: covers Chapters 3, 4, and 6 | ||
Nov. 9 | characteristic polynomials | 7.2 | #9 due on Nov. 16 7.2: 2, 9, 15, 22, 39; 7.3: 10, 16, 19, 31, 36, *52 |
Nov. 11 | eigenspaces | 7.3 | |
Nov. 16 | diagonalization | 7.4 | #10 due on Nov. 23 7.4: 13, 23, 32, 42, 54, *70; 7.TF: 1–4, 7; 5.1: 3, 8, 15, 22, 29 |
Nov. 18 | orthogonality | 5.1 | |
Nov. 23 | Gram-Schmidt process, orthogonal transformations | 5.2, 5.3 | #11 due on Nov. 30 5.1: 27; 5.2: 13, 18, 28, 34; 5.3: 28, *50 |
Nov. 30 | least squares | 5.4 | #12 due on Dec. 7 5.3: 41, 44; 5.4: 7, *8, 17, 21, 31; 5.5: 3, 6, 14, 23; 5.TF: 1–5 |
Dec. 2 | inner product spaces | 5.5 | |
Dec. 7 | symmetric matrices | 8.1 | No homework. Have some fun. |
Dec. 9 | Review |