# Course Content

- Week 0: Preliminaries and review
- Week 1: Groups (Chapter 3).
- Week 2: Cyclic Groups (Chapter 4).
- Week 3: Permutation Groups (Chapter 5).
- Week 4: Lagrange’s Theorem (Chapter 6, Section 1).
- Week 5: Fermat and Euler’s Theorem (Chapter 6, Section 3).
- Week 6: Isomorphisms, Direct Products, and Decomposition of Cyclic Groups (Chapter 9).
- Week 7: Conjugation, Factor Groups, and Normal Subgroups (Chapter 10).
- Week 8: Homomorphisms.
- Week 9: Matrix Groups and Symmetry (Chapter 12)
- Week 10: Finite abelian groups (Chapter 13).
- Week 11: Group actions and the class equation (Chapter 14).
- Week 12: Sylow’s Theorems (Chapter 15).
- Week 13: Other topics as time permits.