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