Course Calendar and Homework Assignments for Math 335, Fall 2023
| Date | Section/Topic | Reading Assignment | Problems to be Presented in Class | Written Hmw |
| F Aug 25 | Introduction, Overview, A Review of Complex Numbers |
Read sections 0 and 1. |
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| M Aug 28 | Section 1: Binary Operations | Read Section 2 (two video lessons in this section) | Section 1: Due F, Sep 1 1-4, 8-10, 14-15, 19-20, 24-28, 33-40,43 |
Problems on sections1 and 2 due Sep 4. |
| W Aug 30 | Section 2: Groups | Work on Presentation Problems | Section 2: Due F, Sep 1 5-9,10,15-19,25,28,29,31-33,36,38,44 |
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| F Sep 1 | Student Presentations | Read Section 3 | ||
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WEEK 2 |
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| M Sep 4 | Section 3: Abelian Examples | Read Section 4(up to bottom of p.46) | Section 3: Due F, Sep 8 8,11,19,21,27,30,32,34,40,43 |
Due M, Sep 11, Section 3 18,38,39,42 |
| W Sep 6 | Section 4: Nonabelian Examples (Symmetric Groups, watch the first video) | Work on Presentation Problems | Section 4: Due F, Sep 8 1-11, 26-28 |
Due M, Sep 11, Section 4 12, 15, 16, 17, 35 |
| F Sep 8 | Student Presentations |
Read the rest of Section 4 |
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| WEEK 3 | ||||
| M Sep 11 | Section 4: Nonabelian Examples (Dihedral Groups, watch the second video) | Read section 5 (There is a typo in this section. Find it! ) | Section 4: Due F, Sep 15 13,18,19,29,33, |
Due M, Sep 18, Section 4 20,32,36 |
| W Sep 13 | Section 5: Subgroups | Work on Presentation Problems | Section 5: Due F, Sep 15 1-7, 18-20,22-25, 36-42, 45,47,48,50,52,53,55,61 |
Due M, Sep 18, Section 5 . 26,32,46,60 with a correction on 32. The elt is (1,2,4,5)(3,7). For 26, justify each assertion. |
| F Sep 15 | Student Presentations |
Read Section 6 |
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| WEEK 4 | ||||
| M Sep 18 | Section 6: Cyclic Groups | Read Section 6 again | Section 6: Due F, Sep 22 8,9,15-24,29,32,36-46,50,53,59-63 |
Due M, Sep 25 Problems on section 6. |
| W Sep 20 | Section 6: Cyclic Groups | Work on Presentation Problems | Additional presentation problem due Fri, Sep 22. |
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| F Sep 22 | Student Presentations | Read Section 8 (first half) |
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| WEEK 5 | ||||
| M Sep 25 | Section 8: Homom & Cayley's Thm | Read Section 8 (the rest) | Section 8: Due F, Sep 29 1-8,15,16,19-21,24,31,32ab, 35-37,40,43-48 |
No Written Hmw |
| W Sep 27 | Section 8: The Alternating Group Take home exam distributed |
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| F Sep 29 | Student Presentations | |||
| WEEK 6 | ||||
| M Oct 2 | Exam 1 | |||
| W Oct 4 | Special Activity |
Read Section 9 | ||
| F Oct 6 | October reading day | Read Section 9 | ||
| WEEK 7 | ||||
| M Oct 9 | Section 9: Direct Product Groups | Read Section 9 | Section 9: Due F, Oct 13 6,8,9,14,18,20,24,26,27,29,32,36,39,40,42,44,47-49,53 |
Due M, Oct 16. Problems on Section 9. |
| W Oct 11 | Section 9: Fund Thm FGAG | |||
| F Oct 13 | Student Presentations | Read Section 10 | ||
| WEEK 8 | ||||
| M Oct 16 | Section 10: Cosets | Read Section 10 | Section 10: Due F, Oct 20 4,8,11-16, 20-26, 30-42 |
Due M, Oct 23 Problems on Section 10. |
| W Oct 18 | Section 10: The Thm of Lagrange | |||
| F Oct 20 | Student Presentations |
Read Fraleigh 7th Ed Chp 13 (in G-drive) |
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| WEEK 9 | ||||
| M Oct 23 | Sec 13 from 7th ed: Homomorphisms |
Install GAP or VMware | Section 13: Due F, Oct 27 8-13,18,19,28,29,32,33,36,38,44-51 |
Due M, Oct 30 Problems on Section 13. |
| W Oct 25 | Computer explorations |
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| F Oct 27 | Student Presentations | Read Section 12 | ||
| WEEK 10 | ||||
| M Oct 30 | Sec12: Factor Groups |
Section 12: Due F,
Nov 3 2,6,8,12,17-25, 27-38 |
Due M, Nov 6 Problems on Section 12. |
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| W Nov 1 | Sec12: Fund Hom Thm | 3 exercises from the end of the handout in class, including conjugation. | ||
| F Nov 3 | Student Presentations | Read Section 13 |
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| WEEK 11 | ||||
| M Nov 6 | Sec13:Fact Grp Comp and Cauchy's Thm |
Read Section 13 | Section : Due F, Nov 10 Thm 13.20; 2,10,11,15,16,19-21,28-40,44,45 |
No written hmw |
| W Nov 8 |
Sec 13: Simple Groups |
An article of interest: An Elementary Approach to the Monster. Progress report on the classification project. | ||
| F Nov 10 | Student Presentations | A paper on commutators. | ||
| WEEK 12 | ||||
| M Nov 13 | Exam II | Read Sec 14 (up to orbits) |
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| W Nov 15 | Section 14: Group Actions | Read Sec 14 up to Applications | ||
| F Nov 17 | Section 14/Computer Explorations | Read Section 15 | Section 14: Due F, Dec 1 1-3, 12-16, 19-21 in section 14, GAP handout,Conjecture, 5,6 |
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THANKSGIVING BREAK |
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| M Nov 27 | Section 15: G-sets and Counting | Read Section 16 | Section 15: Due F, Dec 1 2,3,4 |
Due M, Dec 4 This hmw set has double weight |
| W Nov 29 | Section 16: Isom Theorems | Section 16: Due F, Dec 1 3,4,7,8,9 |
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| F Dec 1 | Student Presentations | Read rest of Sec14 | ||
| WEEK 14 | ||||
| M Dec 4 | Section 14: Cauchy's Thm |
Read Section 17 |
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| W Dec 6 | Section 17: Sylow Thms |
Read Section 17 | ||
| F Dec 8 | Section 17: Applications of Sylow Thms | Final Exam: Wed, Dec 13, 8:30 am | ||