Date | Tentative class plan: |
Mon, Aug 28 | Welcome! § 1.1: Vectors. |
Wed, Aug 30 | § 1.2: Vectors, Lengths, Dot products § 1.3: Matrices. |
Mon, Sep 4 | Labor Day – College Closed |
Wed, Sep 6 | § 2.1: Vectors and Linear Equations, § 2.2: The Idea of Elimination. |
Mon, Sep 11 | Take Home Quiz 1 handed out. Finish § 2.2: The Idea of Elimination. § 8.1: The Idea of a Linear Transformation (Handout) |
Wed, Sep 13 | Take Home Quiz 1 due. Finish § 8.1: The Idea of a Linear Transformation § 2.5: Inverse Matrices (Handout) |
Mon, Sep 18 | Take Home Quiz 2 handed out. § 2.3: Elimination Using Matrices. |
Wed, Sep 20 | No classes scheduled |
Mon, Sep 25 | Take Home Quiz 2 due. Take Home Quiz 3 handed out. Finish § 2.3 and 2.5, § 2.4: Rules for Matrix Operations |
Wed, Sep 27 | Take Home Quiz 3 due. § 2.6 Elimination = Factorization: A = L U. |
Mon, Oct 2 | We mostly reviewed for Midterm 1 |
Wed, Oct 4 | First Midterm. |
Mon, Oct 9 | Columbus Day – College Closed |
Wed, Oct 11 | § 2.7: Transposing Matrices. § 3.1: Spaces of Vectors. The observation that the nullspace of a matrix is a subspace. |
Mon, Oct 16 | § 3.2: The Nullspace of A: Solving Ax = 0 and Rx = 0. § 3.3: The Complete Solution to Ax = b. |
Wed, Oct 18 | § 3.4: Independence, Basis and Dimension. |
Mon, Oct 23 | More on § 3.4. |
Wed, Oct 25 | § 3.5: Dimensions of the Four Subspaces. |
Mon, Oct 30 | More on § 3.5: Dimensions of the Four Subspaces. |
Wed, Nov 1 | § 4.1: Orthogonality of the Four Subspaces. |
Mon, Nov 6 | Second Midterm. |
Wed, Nov 8 | § 4.2: Projections. |
Mon, Nov 13 | Take Home Quiz 6 handed out. § 4.4: Orthonormal Bases. |
Wed, Nov 15 | Take Home Quiz 6 due. § 4.4: Gram-Schmidt. |
Mon, Nov 20 | Take Home Quiz 7 handed out. § 5.1: The Properties of Determinants. |
Wed, Nov 22 | Take Home Quiz 7 due. § 5.2: Permutations and Cofactors. § 5.3: Cramer’s Rule, Inverses, and Volumes. |
Mon, Nov 27 | Take Home Quiz 8 handed out. § 6.1: Introduction to Eigenvalues. |
Wed, Nov 29 | Take Home Quiz 8 due. More on § 6.1. § 6.2: Diagonalizing a Matrix. |
Mon, Dec 4 | Take Home Quiz 9 handed out. § 6.4: Symmetric Matrices. |
Wed, Dec 6 | Take Home Quiz 9 due. § 8.3: The Search for a Good Basis. |
Mon, Dec 11 |