| Monday | Wednesday | Friday |
|---|---|---|
| Aug 27 Sec 1: Vectors, algebraic ops handout (2 ex) |
Aug 29 Sec 1: Dot product, projection Ex 1,2,3,5,6,7,8,9 |
Aug 31 Sec 2: 2 eq 2 unknowns: story of two lines Ex 1,2 |
| Sep 3 Labor Day No classes |
Sep 5 Sec 2: Gauss Elimination: 3 by 3 Quiz |
Sep 7 Sec 2: Gauss Elimination: row echelon form homogenous systems Ex 3,4,5,6,7,8,9 |
| Sep 10 Sec 3: Matrices, multiplication Ex 1,2 |
Sep 12 Sec 3: 2x2 inverse |
Sep 14 No class |
| Sep 17 Sec 3: nxn inverse Ex 3,4,5,6,7,8,9 |
Sep 19 Sec 3: nxn determinant via Laplace Ex 12,13,14,15,17 |
Sep 21 Sec 3: Cramer's rule Quiz |
| Sep 24 Sec 1,2,3: review |
Sep 26 First Exam |
Sep 28 go over exam |
| Oct 1 Sec 4: row/column spaces |
Oct 3 Sec 4: linear dependence |
Oct 5 Sec 4: basis, dimension |
| Oct 8 Sec 4: null space, homogenous eq |
Oct 10 Sec 4: mxn linear system, again |
Oct 12 Sec 4: example |
| Oct 15 Sec 4: Dimension Theorem |
Oct 17 Sec 4: example |
Oct 19 Sec 4: orthogonal complement |
| Oct 22 Sec 4: subspace decomposition |
Oct 24 Sec 4: Fredholm Alternative, example |
Oct 26 Sec 4: Review |
| Oct 29 Second Exam |
Oct 31 go over exam |
Nov 2 Sec 5: eigenvalues and eigenvectors |
| Nov 5 Sec 5: examples |
Nov 7 Sec 5: algebraic and geometric mult |
Nov 9 Sec 5: basis of eigenvectors |
| Nov 12 Veterans Day No classes |
Nov 14 Sec 5: examples |
Nov 16 Sec 5: orthogonal matrices |
| Nov 19 Sec 5: orthogonal diagonalization |
Nov 21 Thanksgiving No classes |
Nov 23 Thanksgiving No classes |
| Nov 26 Sec 5: hermitean product |
Nov 28 Sec 5: hermitean and unitary matrices |
Nov 30 Sec 5: hermitean diagonalization |
| Dec 3 Sec 5: Schur's Lemma |
Dec 5 Sec 5: normal matrices |
Dec 7 Sec 5: Review |