- Lecture 1 (01/17/18): Intro to course; Operations on a set (Ch. 2)
- Lecture 2 (01/19/18): Groups (Ch. 3)
- Lecture 3 (01/22/18): Elementary properties of groups (Ch. 4)
- Lecture 4 (01/24/18): Subgroups, Cosets (Ch. 5, 13)
- Lecture 5 (01/26/18): Lagrange's Theorem (Ch. 13)
- Lecture 6 (01/29/18): Functions (Ch. 6)
- Lecture 7 (01/31/18): Permutations (Ch. 7)
- Lecture 8 (02/02/18): Cycle notation (Ch. 8)
- Lecture 9 (02/05/18): Symmetric group in more detail (Ch. 8)
- Lecture 10 (02/07/18): Isomorphisms (Ch. 9)
- Lecture 11 (02/09/18): Order of group elements (Ch. 10); Cyclic groups (Ch. 11)
- Lecture 12 (02/12/18): Cyclic groups (Ch. 11)
- Lecture 13 (02/14/18): Group actions on sets (Ch. 13, Judson Ch. 14)
- Lecture 14 (02/16/18): Counting colorings up to symmetries (Judson Ch. 14)
- Lecture 15 (02/19/18): Proof of Burnside's Lemma (Judson Ch. 14)
- Exam 1 review (02/21/18)
- Exam 1 (02/23/18)
- Lecture 16 (02/26/18): Binary codes (Ch. 3: F, G, Ch. 5: H, Ch. 13: K)
- Lecture 17 (02/28/18): Binary codes (Ch. 3: F, G, Ch. 5: H, Ch. 13: K)
- Lecture 18 (03/02/18): Homomorphisms (Ch. 14)
- Lecture 19 (03/05/18): Homomorphisms (Ch. 14); Quotient groups (Ch. 15)
- Lecture 20 (03/07/18): Quotient groups (Ch. 15)
- Lecture 21 (03/09/18): Fundamental Homomorphism Theorem (Ch. 16); Rings (Ch. 17)
- Lecture 22 (03/19/18): Rings (Ch. 17)
- Lecture 23 (03/21/18): Zero divisors and integral domains (Ch. 17); Ideals, homomorphisms, and quotient rings (Ch. 18, 19)
- Lecture 24 (03/23/18): Quotient rings (Ch. 19)
- Lecture 25 (03/26/18): Integral domains (Ch. 20)
- Exam 2 review (03/28/18)
- Exam 2 (03/30/18)
- Lecture 26 (04/02/18): Factoring into primes (Ch. 22)
- Lecture 27 (04/04/18): Rings of polynomials (Ch. 24)
- Lecture 28 (04/06/18): Factoring polynomials (Ch. 25)
- Lecture 29 (04/09/18): Application: RSA cryptosystem (Judson 2.2, 6.3, 7.2)
- Lecture 30 (04/11/18): Application: RSA cryptosystem (Judson 2.2, 6.3, 7.2)
- Lecture 31 (04/13/18): Substitution in polynomials (Ch. 26)
- Lecture 32 (04/16/18): Extensions of fields (Ch. 27)
- Lecture 33 (04/18/18): Review of vector spaces (Ch. 28)
- Lecture 34 (04/20/18): Degrees of field extensions (Ch. 29)
- Lecture 35 (04/23/18): Straightedge and compass constructions (Ch. 30)
- Lecture 36 (04/25/18): Galois Theory I (Ch. 31)
- Lecture 37 (04/27/18): Galois Theory II (Ch. 32)
- Lecture 38 (04/30/18): Galois Theory III (Ch. 33)
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- Homework 0: Read Ch. 1 (due 01/19/18)
- Homework 1: Ch. 2 - A2, B2,4; Ch. 3 - B1; Ch. 4 - C2,5, E1,3, F4,5,6 (due 01/26/18)
- Homework 2: Ch. 4 - G1,2,3; Ch. 5 - A2,4,6, B2; Ch. 6 - A2,3; Ch. 13 - A3, C1 (due 02/02/18)
- Homework 3: Ch. 7 - A2, B1, G1; Ch. 8 - A2,3,6, B1,3, C1,2,3 (due 02/09/18)
- Homework 4: Ch. 8 - E1, G1, 2, 3; Ch. 9 - C3, D2, E2,4, H4, I3 (due 02/16/18)
- Homework 5: Ch. 10 - B2,6, F1; Ch. 11 - E1, 4, 5, 6 (due 03/02/18)
- Homework 6: Ch. 3 - G2; Ch. 5 - H1, 2, 6, 7; Ch. 13 - K1, 2, 5 (due 03/09/18)
- Homework 7: Ch. 14 - B1,3,5, C1,3, D3 (See Ch. 5 D3 for def.), F3; Ch. 15 - A2 (here $H =\langle (123)\rangle\leqslant S_3$), B1, D1; Ch. 16 - A4 (due 03/23/18)
- Homework 8: Ch. 17: D1,2,3, F1, J3; Ch. 18: A6, B1,4, H5; Ch. 19: A1,2, F2 (due 04/06/18)
- Homework 9: Ch. 20: A1,4, B3, F1,2,3; Ch. 22: B6, C1, E1, G1,2,3 (Use exercise F2 from Ch. 19) (due 04/13/18)
- Homework 10: Ch. 24: A2, F1; Ch. 25: C1,2, D4, F4; Ch. 26: A1, B4, D1 (due 04/20/18)
- Homework 11: Ch. 27: A1(a)-(d), B1(a),(e); Ch. 28: A2,4, C7,8; Ch. 29: A1,2,3 C2,3(due 04/27/18)
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