| Lecture | Date | Topic | Section
|
| 1 | Tue 1/28 | Preliminary remarks, introduction to vectors | 1.1
|
| 2 | Thu 1/30 | Vectors in Rn | 1.1, 1.2
|
| 3 | Tue 2/4 | Dot product, norm, projection | 1.2
|
| 4 | Thu 2/6 | Systems of linear equations | 2.1
|
| 5 | Tue 2/11 | Gauss-Jordan elimination | 2.2
|
| --- | Tue 2/18 | No class | ---
|
| 6 | Thu 2/20 | Spanning sets, linear independence | 2.3
|
| 7 | Tue 2/25 | Introduction to matrix algebra | 3.1, 3.2
|
| 8 | Thu 2/27 | More on matrix algebra | 3.2
|
| 9 | Tue 3/4 | Elementary matrices and invertibility | 3.3
|
| --- | Thu 3/6 | No class | ---
|
| 10 | Tue 3/11 | Review I | ---
|
| 11 | Thu 3/13 | Midterm I | ---
|
| 12 | Tue 3/18 | Subspaces, basis, dimension | 3.5
|
| 13 | Thu 3/20 | Row, column, and null space of a matrix | 3.5
|
| 14 | Tue 3/25 | Basic properties of the determinant | 4.2
|
| 15 | Thu 3/27 | More on determinants, Cramer's rule | 4.2
|
| 16 | Tue 4/1 | Eigenvalues and eigenvectors | 4.3
|
| 17 | Thu 4/3 | Similarity and diagonalization | 4.4
|
| 18 | Tue 4/8 | Orthogonal complements and projections | 5.1, 5.2
|
| 19 | Thu 4/10 | General vector spaces | 6.1
|
| --- | Tue 4/15 | No class | ---
|
| --- | Thu 4/17 | No class | ---
|
| 20 | Tue 4/22 | Review II | ---
|
| 21 | Thu 4/24 | Midterm II | ---
|
| 22 | Tue 4/29 | Subspaces, basis, dimension | 6.2
|
| 23 | Thu 5/1 | More on basis and dimension | 6.2
|
| 24 | Tue 5/6 | Introduction to linear maps | 3.6, 6.4
|
| 25 | Thu 5/8 | More on linear maps | 6.4
|
| 26 | Tue 5/13 | Kernel and range of a linear map | 6.5
|
| 27 | Thu 5/15 | Review III | ---
|