Time and location:
| Date | Topic | Slides and lecture notes |
|---|---|---|
| October 2 | Systems of linear equations and Gaussian elimination. | slides |
| October 9 | Practical aspects of systems of linear equations. RREF and Gauss-Jordan elimination. Matrix operations. | slides |
| October 16 | Regular matrices and matrix inverse. | slides |
| October 23 | Permutations and groups. | slides |
| October 30 | Fields. Modular arithmetics. | slides |
| November 13 | Vector spaces. Linear combinations and span. | slides |
| November 20 | Linear independence, basis, dimension. | slides |
| November 27 | Coordinates. Matrix spaces. Interpretation and uniqueness of RREF. | slides |
| December 11 | Transformation of coordinates, linear functions and their matrices. | slides |
| December 18 | Isomorphisms. Image and kernel. | slides |
| January 8 | Affine sets and functions. | slides |