| Packet | Theme | Topics |
|---|
| 02 | 2D, 3D | Vector geometry | lines and planes | spans | independence |
| 03 | 2D, 3D | Matrix actions 2D, 3D: stretch, shear, rotate, reflect, permute |
| 04 | 2D, 3D | Matrix algebra | eigenvectors | determinants |
| 05 | Vectors | Spans, subspaces, dimension |
| 06 | Vectors | Independence, basis |
| 07 | Vectors | Orthogonal bases, projection, Gram-Schmidt, distance |
| 09 | Matrix basics | LU, row-echelon | preimage| linear systems |
| 11 | Matrix theory | Linearity | change of basis | rank-nullity |
| 12 | Matrix families | Orthogonal, symmetric, positive | quadratic forms, optimization |
| 13 | Structures | Spectrum | Singular value decomposition |
| 14 | Application | Least squares and linear regression | quasi-inverse |
| 15 | Application | Principle component analysis |
| Extra | Practice | Problems |