| Lecture | Date | Topic | Section
|
| 1 | Tue 1/27 | Preliminary remarks, introduction to vectors | 1.1
|
| 2 | Thu 1/29 | Vectors in Rn | 1.1, 1.2
|
| 3 | Tue 2/3 | Dot product, norm, projection | 1.2
|
| 4 | Thu 2/5 | Systems of linear equations | 2.1
|
| 5 | Tue 2/10 | Gauss-Jordan elimination | 2.2
|
| --- | Thu 2/12 | No class | ---
|
--- | Tue 2/17 | No class | ---
| 6 | Thu 2/19 | Spanning sets, linear independence | 2.3
|
| 7 | Tue 2/24 | Introduction to matrix algebra | 3.1, 3.2
|
| 8 | Thu 2/26 | More on matrix algebra | 3.2
|
9 | Tue 3/3 | Elementary matrices and invertibility | 3.3
|
| 10 | Thu 3/5 | Subspaces, basis, dimension | 3.5
|
| 11 | Tue 3/10 | Review I | ---
|
| 12 | Thu 3/12 | Midterm I | ---
|
| 13 | Tue 3/17 | Row, column, and null space of a matrix | 3.5
|
| 14 | Thu 3/19 | Basic properties of the determinant | 4.2
|
| 15 | Tue 3/24 | More on determinants, Cramer's rule | 4.2
|
| 16 | Thu 3/26 | Eigenvalues and eigenvectors | 4.3
|
| 17 | Tue 3/31 | Similarity and diagonalization | 4.4
|
| --- | Thu 4/2 | Spring Recess | ---
|
--- | Tue 4/7 | Spring Recess | ---
| --- | Thu 4/9 | Spring Recess | ---
| 18 | Tue 4/14 | Orthogonal complements and projections | 5.1, 5.2
|
| 19 | Thu 4/16 | Least squares approximation | 7.3
|
| 20 | Tue 4/21 | Review II | ---
|
| 21 | Thu 4/23 | Midterm II | ---
|
| 22 | Tue 4/28 | General vector spaces | 6.1
|
| 23 | Thu 4/30 | Subspaces, basis, dimension | 6.2
|
| 24 | Tue 5/5 | More on basis and dimension | 6.2
|
| 25 | Thu 5/7 | Introduction to linear maps | 3.6, 6.4
|
| 26 | Tue 5/12 | More on linear maps | 6.4
|
| 27 | Thu 5/14 | Kernel and range of a linear map | 6.5
|
| 28 | Tue 5/19 | Review III | ---
|