| week | date | topics | materials |
| 1 | 3,7 Mar | Introduction to linear algebra - Vectors | |
| 2 | 10,14 Mar |
Systems of linear equations
- Solving systems of linear equations - Gaussian elimination |
|
| 3 | 17,21 Mar |
Systems of linear equations
- Gaussian elimination - Spanning sets and linear independence |
|
| 4 | 24,28 Mar |
Matrices
- Matrix operations - Inverse matrices |
|
| 5 | 31 Mar, 4 Apr |
Matrices
- Inverse matrices - (LU factorization) |
|
| 6 | 7,11 Apr |
Matrices
- Subspaces, dimensions, and rank - Linear transformations |
|
| 7 | 14,18 Apr | Midterm exam | |
| 8 | 21,25 Apr |
Eigenvalues and eigenvectors
- Determinants |
|
| 9 | 28 Apr,2 May |
Eigenvalues and eigenvectors
- Determinants - Similarity and diagonalization |
|
| 10 | 5,9 May |
Eigenvalues and eigenvectors
- Similarity and diagonalization |
|
| 11 | 12,16 May |
Orthogonality
- QR factorization |
|
| 12 | 19,23 May | Make-up week | |
| 13 | 26,30 May |
Distance and approximation
- Least square approximation |
|
| 14 | 2,6 Jun |
Distance and approximation
- Least square approximation |
|
| 15 | 9,13 Jun | Advanced linear algebra | |
| 16 | 16,20 Jun | Final exam | |