| Date | Topic | Section
|
| 8/31 | Systems of linear equations
| 1.1, 1.2
|
| 9/2 | Gauss-Jordan elimination
| 1.2
|
| 9/7 | Intro to matrix algebra
| 1.3, 1.4
|
| 9/9 | Elementary matrices and invertibility
| 1.5
|
| 9/14 | More on solutions of linear equations
| 1.6
|
| 9/21 | Some special matrices
| 1.7
|
| 9/23 | The determinant function, evaluating det
| 2.1, 2.2
|
| 9/28 | Properties of det
| 2.3
|
| 9/30 | Cramer's rule
| 2.4
|
| 10/5 | First Midterm
| -
|
| 10/7 | Vectors in R2 and
R3
| 3.1, 3.2
|
| 10/12 | The Euclidean space Rn
| 4.1
|
| 10/14 | Linear maps between Euclidean spaces
| 4.2
|
| 10/19 | General vector spaces
| 5.1
|
| 10/21 | Subspaces
| 5.2
|
| 10/26 | Linear independence
| 5.3
|
| 10/28 | Basis and dimension
| 5.4
|
| 11/2 | Basis and dimension (cont.)
| 5.4
|
| 11/4 | Row, column and nullspace of a matrix
| 5.5
|
| 11/9 | Rank and nullity
| 5.6
|
| 11/11 | Review Session
| -
|
| 11/16 | Second Midterm
| -
|
| 11/18 | Inner product spaces
| 6.1, 6.2
|
| 11/23 | Orthonormal bases
| 6.3
|
| 11/30 | Eigenvalues and eigenvectors
| 7.1
|
| 12/2 | Diagonalization
| 7.2
|
| 12/7 | Linear maps between vector spaces
| 8.1
|
| 12/9 | Kernel, range and inverse of a linear map
| 8.2, 8.3
|