Math 113 Tentative Syllabus
| Week of | Mon | Wed | Fri | Topics |
| 8/30 | §0 | §0 | §1, §2 | Sets. Binary operations. |
| 9/06 | Holiday | §3 | §4 | Isomorphisms. Groups. |
| 9/13 | §5 | §5 | §6 | Subgroups. Cyclic groups. |
| 9/20 | §6 | §6 | §8 | Subgroups of cyclic groups. Permutation groups.. |
| 9/27 | §9 | §9 | §9, | Orbits and cycles. Alternating groups. Cayley's theorem. |
| 10/04 | §10 | §11, §13 | §13 | Cosets. Products. Homomorphism. |
| 10/11 | §14 | §15 | Midterm | Factor groups. Simple groups. |
| 10/18 | §15-16 | §16 | §16 §17 | Group actions and applications. Conjugation. |
| 10/25 | §36 | §37 | §37 | Class equation, Sylow theorems, and appliaction |
| 11/01 | §18-19 | §20 | §20 | Rings. Fermat and Euler. |
| 11/08 | §21-22 | §23 | §23 | Quotient fields. Polynomials. |
| 11/15 | §26 | §27 | §29 | Homorphisms. Ideals. Extension fields. |
| 11/22 | §30 | §31 | §33 | Modules. Algebraic extensions. Finite fields. |
| 11/29 | §32 | §45 | §46 | Geometric constructions. Unique factorization. Euclidean domains. |
| 12/06 | 46 | §47 | §47 | Gaussian integers. Norms. Sums of squares. |
The above schedule is just a rough guide and subject to change as the course progresses.