Date | Topic | Assignment Due |
08/29 | First class Intro, ℤm, fields | |
08/31 | Basic properties of fields | Prep 1 |
09/05 | Labor day | |
09/07 | Last drop day Polynomials | Prep 2 & Written 1 |
09/12 | More on polynomials; division algorithm | Prep 3 |
09/14 | Common factors in 𝔽[x] | Prep 4 |
09/19 | Congruence modulo a polynomial | Written 2 |
09/21 | Operations on congruent polynomials | Prep 5 |
09/26 | When 𝔽[x] mod p(x) is a field. | |
09/28 | Isomorphisms and Kronecker's theorem. | Written 3 |
10/03 | Irreducible polynomials over ℚ, Eisenstein's Criterion | Prep 6 |
10/05 | Discussion on midterm, Rings | Written 4 and Prep 7 |
10/10 | Midterm 1 | |
10/12 | Examples of rings | |
10/17 | Ring homomorphisms, kernels | |
10/19 | Ideals | |
10/24 | Fundamental Theorem for homomorphisms | |
10/26 | Intro to groups, symmetries | Written 5 |
10/31 | More on symmetries, properties in groups | Prep 8 |
11/02 | Permutations and the symmetric group | Prep 9 |
11/07 | Subgroups and Lagrange's Theorem | Prep 10 |
11/09 | Discussion, more on subgroups | Written 6 |
11/14 | Midterm 2 | |
11/16 | Group homomorphisms and isomorphisms | |
11/21 | Cyclic groups | |
11/23 | Thanksgiving break | |
11/28 | More on subgroups | |
11/30 | Normal subgroups and factor groups | |
12/05 | Normal subgroups and factor groups, cont'd | |
12/07 | Homomorphisms and isomorphisms, revisited | |
12/12 | Last class | |
12/19 | Final Exam, 5:15pm | |