Time and location:
Resources for the exam: detailed syllabus, an example exam.
| Date | Topic | Slides |
|---|---|---|
| October 7 | Systems of linear equations and Gaussian elimination. | slides |
| October 14 | Practical aspects of systems of linear equations. RREF and Gauss-Jordan elimination. Matrix operations. | slides |
| October 21 | Regular matrices and matrix inverse. | slides |
| November 11 | Permutations and groups. | slides |
| November 18 | Fields. Modular arithmetics. | slides |
| November 25 | Vector spaces. Linear combinations and span. | slides |
| December 2 | Linear independence, basis, dimension. | slides |
| December 9 | Coordinates. Matrix spaces. Interpretation and uniqueness of RREF. | slides |
| December 16 | Transformation of coordinates, linear functions and their matrices. | slides |
| January 6 | Isomorphisms. Image and kernel. | slides |
| January 13 | Affine sets and functions. | slides |