McGill University

Department of Mathematics & Statistics

Higher Algebra I

189-570A

Detailed Syllabus

  1. Sept. 1-Sept 3: Overview of the course. Group Theory.
  2. Sept 6-Sept 10: Group Theory. Proof of the Sylow theorems.
  3. Sept 13-Sept 17: Rings and fields.
  4. Sept 20-Sept 24: Rings and fields. Galois theory.
  5. Sept 27-Oct 1: Galois Theory.
  6. Oct 4-Oct 8: Galois Theory.
  7. Oct 11-Oct 15: Galois Theory.
  8. Oct 18-Oct 22: Galois Theory.
  9. Oct 25-Oct 29 : Galois Theory.
  10. Nov 1-Nov 5: Linear algebra. Representation theory.
  11. Nov 8-Nov 12: Representation theory.
  12. Nov 15-Nov 19: Representation theory.
  13. Nov 22-Nov 26: Representation theory.
  14. Nov 29-Dec 3: Representation theory. Review of the material.