# Fall 2010

Homework, Schedule, Assignments

“F” means Farmer; “P” means Pinter. “P2A4” means problem 4 in set A in chapter 2 of Pinter; “F2.3.4” means exercise 2.3.4 in Farmer.

Due Date

Have done before class

Presentations

9/13/10, Mon

1. Complete the reading and tasks in Sections 3.1 and 3.2 of Farmer.
2. Read Chapter 3 in Pinter.
1. Why do we remove 0 from the set Q to form the group ⟨ Q , ·⟩? Why not just ⟨Q, ·⟩?
2. If you consider Z7 to be the set {0, 1, 2, 3, 4, 5, 6}, is it a group under multiplication? Why or why not? If not, can you fix it? How about Z6 ?
3. How can you tell from a glance at the table on page 29 that the group is not commutative?

Exercises in Pinter: 3A2 (why the x ≠ 0 restriction on the elements of the set?), 3B2, 3B4, 3C1, 3C2, 3C3.

9/15/10, Wed

Problem Set 1 due:

1. Tasks 2.3.1 and 2.3.2 from Farmer.
3. Pinter 2B6.
4. One exercise of your choice from Pinter set 3B.
Solutions to most problems in this set are here.

9/20/10, Mon

Read P ch. 4; P3A3, P3B5, P3D(all), P4A2, P4A4, P4B1, P4C2

AG: P3A3; AN: P3B5; CB: P3D; TC: P4A2; SL: P4C2

9/22/10, Wed

Read P ch. 5; P4G1; P4G2; P4H4; P5A1; P5A4

MD: P4B; JW: P4C; KJ: P4D; JC: P4E; BA: P4F

9/27/10, Mon

Review P ch 6 as needed; Read P ch. 7; P5B1; P5B4; P5C1 (does this work if G is not Abelian?); P5C4; P5D1; P5D3; P5D5; P7A(all)

SS: P5E1,3,5; KD: P5D1,3; JR: P5B4,6; EB: P5G; AV: P7B1,2,3; BJ: P7F2,3,4

9/29/10, Wed

Read P ch. 8; P6D3; P7B1; P7B4; P7C1; P7F1; P7I1,2; P8A(all)

AG: P7C2; AN: P7H1; CB: P7G1,2; TC: P8B2,4; SL: P8E1,2

10/4/10, Mon

Read P ch. 9; P8B1,2,3; P8D1; P8E1; P9B1; P9E1

BA: P8C3,4; JC: P8F1,2,3; MD: P8C1,2; SS: P9B2; JW: P8D4,5

10/6/10, Wed

Reread P Ch. 9; P9A(all); P9C1,2,4; P9D1; P9H2; P9H3

EB: P9C5,6; KD: P9D2,3; KJ: P9E4; BJ: Proof of Cayley's Theorem pp. 95--7; AV: P9H1

10/11/10, Mon

Read P Ch. 10; P9E2,3,5; P9B3; P9G3; P9I1,2; P10A1; P10B1,2,4,6; P10D1

JR: P9E2,5; AG: P9I3; AN: P10B5,7; SL: P10C5,6

10/13/10, Wed

Problem Set 2 Due: P5D6; P7H3; P8F1,2,4; P9A3; P9H4; Read P Ch. 11.

10/18/10, Mon

Read P Ch. 11. Work on Sample Midterm

10/20/10, Wed

Midterm I. Covers Farmer chapters 1-3, Pinter chapters 1-10 (note: not 11)

10/25/10, Mon

Reread P Ch 11; P10C1,2,3,5; P10D4; P11A(all); P11B2,3

KJ: P10C2; AV: P10C7; SS: P10D2,3; JW: P10D5; BJ: P10G1; TC: P11A4,5; EB: P11B5

10/27/10, Wed

Read P Ch 12; P11C1,2,5; P11D1,2; P11E1,2,3; P11F1,2; P12A1; P12B1,2

BA: P11E4,5; AG: P11E6,7; JC: P12A1; MD: P11C8; KD: P11F1,2; SL: P12B2; AN: P12D1

11/1/10, Mon

Read P Ch 13; P12B5,6; P12D1,3; P12C1; P12E3; P13A1,2,3(see p. 71 for definitions); P13B1,2; P13C1,2

EB: P12B8; SS: P12D2; JW: P12C2; TC: P12C3; AG: P13(Theorem 3); BJ: P13(Theorem 4); AV: P13A3,5

11/3/10, Wed

Read P Ch 14 ; P13D2,3,4; P13E1,2,6; Read Cauchy's Theorem p. 131; P13F1; P14A1,2,5; P14D1

KJ: P13B4,6 (the operation on R* is multiplication; on R, addition); KD: P13D3,4; MD: P13E1,2; BA: P13F2,3; SL: P14B1,2

11/8/10, Mon

Read P Ch 15; P14A3, P14B3, P14C1,2,4,8,9; P14D1,2,3,6; P14G1,2,3; P15A1,2,3

JC: P14C3; MD: P14C4; AN: P14D5; SS: P14E1; TC: P14E3; AV: P14I1,2

11/10/10, Wed

Problem Set 3 due: P11D3; P12D4; P13G(all); P13D1; P13I1,2

11/15/10, Mon

Read P Ch 16; P15A1,2; P15C1,2,6; P15D1

JC: P15A3; BA: P15B1,2,3; EB: P15C1,3; KD: P15E1; KJ: P15E3; BJ: P15H(all)

11/17/10, Wed

Read P Ch 17; P16A2,5; P16B1; P16D2; P16E1; P16I1; P17A1,2,4

JW: P16A1,3; TC: P16F2,4; MD: P16F1,3; AN: P16C1,2,3; SS: P16I1,2

11/22/10, Mon

Read P Ch 18; P17A1,4,5; P17B1,3,4; P17C1,2; P17H1,2,4,5; P17I2

AV: P17A1,6; SL: P17B1,2; AG: P17C3; KD: P17H3; JC: P17I3; CB: P17I5

11/24/10, Wed

No Class - Thanksgiving Break

11/29/10, Mon

Read P Ch 19; P18A2,3; P18B1,2,5; P18C1,3,4; P18D1,3; P18E1,3,4; P18F1,2,3; P18I3

BA: P18B6; KJ: P18C5,6; BJ: P18D2; JW: P18E4; MD: P18F2; EB: P18I2

12/1/10, Wed

Problem Set 4 due: P14F1,2; P14I6 (may assume P14I1-5); P15C5; P16F(all); P17I5

12/6/10, Mon

Read P Ch 20; P19A1,3; P19B1,4; P19C1,3; P19D1,2; P19E1,2,4; P19G2; P19H1

TC: P19A1,3; KD: P19C1,2; AG: P19E2,3; SS: P19H2

12/8/10, Wed

12/13/10, Mon

Final Exam, Darwin 31, 8:00-10:00 a.m.

Sample Final