| Lecture | Date | Topic | Section
|
| 1 | Tue 8/26 | Preliminary remarks, introduction to vectors | 1.1
|
| 2 | Thu 8/28 | Vectors in Rn | 1.1, 1.2
|
| 3 | Tue 9/2 | Dot product, norm, projection | 1.2
|
| 4 | Thu 9/4 | Systems of linear equations | 2.1
|
| 5 | Tue 9/9 | Gauss-Jordan elimination | 2.2
|
| 6 | Thu 9/11 | Spanning sets, linear independence | 2.3
|
| 7 | Tue 9/16 | Introduction to matrix algebra | 3.1, 3.2
|
| 8 | Thu 9/18 | More on matrix algebra | 3.2
|
| --- | Tue 9/23 | No class | ---
|
9 | Thu 9/25 | Elementary matrices and invertibility | 3.3
|
| 10 | Tue 9/30 | Subspaces, basis, dimension | 3.5
|
--- | Thu 10/2 | No class | ---
|
| 11 | Tue 10/7 | Review I | ---
|
| 12 | Thu 10/9 | Midterm I | ---
|
| --- | Tue 10/14 | No class | ---
|
| 13 | Thu 10/16 | Row, column, and null space of a matrix | 3.5
|
| 14 | Tue 10/21 | Basic properties of the determinant | 4.2
|
| 15 | Thu 10/23 | More on determinants, Cramer's rule | 4.2
|
| 16 | Tue 10/28 | Eigenvalues and eigenvectors | 4.3
|
| 17 | Thu 10/30 | Similarity and diagonalization | 4.4
|
| 18 | Tue 11/4 | Orthogonal complements and projections | 5.1, 5.2
|
| 19 | Thu 11/6 | Least squares approximation | 7.3
|
| 20 | Tue 11/11 | Review II | ---
|
| 21 | Thu 11/13 | Midterm II | ---
|
| 22 | Tue 11/18 | General vector spaces | 6.1
|
| 23 | Thu 11/20 | Subspaces, basis, dimension | 6.2
|
| 24 | Tue 11/25 | More on basis and dimension | 6.2
|
| --- | Thu 11/27 | No class | ---
|
| 25 | Tue 12/2 | Introduction to linear maps | 3.6, 6.4
|
| 26 | Thu 12/4 | More on linear maps | 6.4
|
| 27 | Tue 12/9 | Kernel and range of a linear map | 6.5
|
| 28 | Thu 12/11 | Review III | ---
|