| 1. Review: set theory | blanks | full | Textbook: Ch. 0 |
| 2. Some number theory | blanks | full | Textbook: Ch. 0 |
| 3. Groups | blanks | full | Textbook: Ch. 2 |
| 4. Elementary properties of groups | blanks | full | Textbook: Ch. 2 |
| 5. Dihedral groups | blanks | full | Textbook: Ch. 1 |
| 6. Order of an element of a group | blanks | full | Textbook: Ch. 3 |
| 7. Subgroups | blanks | full | Textbook: Ch. 3 |
| 8. Direct products | blanks | full | Textbook: Ch. 8 |
| 9. Cyclic groups | blanks | full | Textbook: Ch. 4 |
| 10. Permutation groups | blanks | full | Textbook: Ch. 5 |
| 11. Homomorphisms | blanks | full | Textbook: Ch. 10 |
| 12. Isomorphisms of groups | blanks | full | Textbook: Ch. 6 |
| 13. Cosets and Lagrange Theorem | blanks | full | Textbook: Ch. 7 |
| 14. Quotient groups | blanks | full | Textbook: Ch. 9 |
| 15. Group actions | blanks | full | Textbook: -- |
| 16. Finite abelian groups | blanks | full | Textbook: Ch. 11 |
| 17. Rings | blanks | full | Textbook: Ch. 12 |
| 18. Integral domains and fields | blanks | full | Textbook: Ch. 13 |
| 19. Ideals and quotient rings | blanks | full | Textbook: Ch. 14 |
| 20. Ring homomorphisms | blanks | full | Textbook: Ch. 15 |
| 21. Rings of polynomials | blanks | full | Textbook: Ch. 16 |
| 22. Unique factorization domains | blanks | full | Textbook: Ch. 18 |
| 23. Prime elements and UFDs | blanks | full | Textbook: Ch. 18 |
| 24. PIDs and UFDs | blanks | full | Textbook: Ch. 17, 18 |