| Lecture | Date | Topic | Section
|
| 1 | Tue 8/30 | Systems of linear equations | 1.1, 1.2
|
| 2 Q | Thu 9/1 | Gauss-Jordan elimination
| 1.2
|
| 3 | Tue 9/6 | Introduction to matrix algebra
| 1.3, 1.4
|
| 4 Q | Thu 9/8 | Elementary matrices and invertibility
| 1.5
|
| 5 | Tue 9/13 | More on the solutions of linear equations
| 1.6
|
| 6 Q | Thu 9/15 | Some special matrices
| 1.7
|
| 7 | Tue 9/20 | The determinant function,
cofactor expansion | 2.1
|
| 8 Q | Thu 9/22 | Cramer's rule, row reduction and determinants
| 2.1, 2.2
|
| 9 | Tue 9/27 | Further properties of
determinants | 2.3
|
| 10 Q | Thu 9/29 | The Euclidean space Rn
| 3.1, 3.2, 4.1
|
| - | Thu 10/6 | First Midterm
| -
|
| 11 | Tue 10/18 | Linear maps between Euclidean spaces | 4.2
|
| 12 Q | Thu 10/20 | General vector spaces
| 5.1
|
| 13 | Tue 10/25 | Subspaces
| 5.2
|
| 14 Q | Thu 10/27 | Linear independence
| 5.3
|
| 15 | Tue 11/1 | Basis and dimension
| 5.4
|
| 16 Q | Thu 11/3 | Basis and dimension (cont.)
| 5.4
|
| 17 | Tue 11/8 | Row, column and nullspace of a matrix
| 5.5
|
| 18 Q | Thu 11/10 | Rank and nullity
| 5.6
|
| 19 | Tue 11/15 | Inner product spaces
| 6.1, 6.2
|
| - | Thu 11/17 | Second Midterm
| -
|
| 20 | Tue 11/22 | Orthonormal bases
| 6.3
|
| 21 | Tue 11/29 | Eigenvalues and eigenvectors
| 7.1
|
| 22 Q | Thu 12/1 | Diagonalization
| 7.2
|
| 23 | Tue 12/6 | Linear maps between vector spaces
| 8.1
|
| 24 | Tue 12/13 | Kernel, range, and inverse of a linear map
| 8.2, 8.3
|
| - | Thu 12/15 | Review session
| -
|