| Date | Tentative class plan: |
| Wed, Jan 28 | Welcome!
Begin LADW, § 1.1: Vector spaces. |
| Mon, Feb 2 |
LADW, § 1.1: Vector spaces.
|
| Wed, Feb 4 |
Finish LADW, § 1.1: Vector spaces.
Begin LADW, § 1.2: Linear combinations, bases. |
| Mon, Feb 9 |
LADW, § 1.2: Linear combinations, bases.
|
| Wed, Feb 11 |
Finish LADW, § 1.2: Linear combinations, bases.
LADW, § 1.3: Linear Transformations. Matrix–vector multiplication. |
| Mon, Feb 16 | No class: College Closed (President's Day) |
| Wed, Feb 18 |
LADW, § 1.3: Linear Transformations. Matrix–vector multiplication.
LADW, § 1.4: Linear transformations as a vector space. |
| Mon, Feb 23 |
LADW, § 1.5: Composition of linear transformations and matrix multiplication.
|
| Wed, Feb 25 |
LADW, § 1.5: Composition of linear transformations and matrix multiplication.
|
| Mon, Mar 2 | First Midterm. |
| Wed, Mar 4 |
LADW, § 1.6: Invertible transformations and matrices. Isomorphisms.
|
| Mon, Mar 9 |
LADW, § 1.6: Invertible transformations and matrices. Isomorphisms.
|
| Wed, Mar 11 |
LADW, § 1.7: Subspaces.
|
| Mon, Mar 16 |
Begin Chapter 2. LADW, § 2.1: Different faces of linear systems. LADW, § 2.2: Solution of a linear system. Echelon and reduced echelon forms. |
| Wed, Mar 18 | LADW, § 2.2: Solution of a linear system. Echelon and reduced echelon
forms. |
| Mon, Mar 23 | LADW, § 2.3: Analyzing the pivots. |
| Wed, Mar 25 | LADW, § 2.3: Analyzing the pivots. LADW, § 2.3: Finding matrix inverses by row reduction. |
| Mon, Mar 30 | LADW, § 2.5: Dimension. Finite-dimensional spaces. |
| Wed, Apr 1 | Second Midterm. |
| Mon, Apr 6 | No classes (Spring break) |
| Wed, Apr 8 | No classes (Spring break) |
| Mon, Apr 13 | LADW, § 2.7: Fundamental subspaces of a matrix. Rank. |
| Wed, Apr 15 | LADW, § 2.7: Fundamental subspaces of a matrix. Rank. LADW, § 2.6: General solution of a linear system. |
| Mon, Apr 20 | Start LADW, Begin Chapter 3: Determinants. Introduction to determininats by discussing the 2x2 case. (Read LADW, § 3.1-3.2 for a different introduction.) |
| Wed, Apr 22 | LADW, § 3.3: Properties of Determinants |
| Mon, Apr 27 | LADW, § 3.5: The Cofactor Expansion (We are skipping LADW, § 3.4 and 3.6). |
| Wed, Apr 29 | LADW, § 2.8: Representation of a linear transformation in arbitrary
bases. Change of coordinates formula. |
| Mon, May 4 | Third Midterm. |
| Wed, May 6 | Start LADW, Chapter 4: Eigenvalues and Eigenvectors (also known as Spectral Theory). LADW, § 4.1: Main definitions. |
| Mon, May 11 | LADW, § 4.2: Diagonalization. |
| Wed, May 13 | LADW, § 4.2: Diagonalization. |