| MCS-313 homepage | Reading and class schedule | Peer review guidelines |
| Prof. Barbara Kaiser | |
Proof checklist |
| Feedback | Homework guidelines |
Reading
assignments, Sept. 9 - Oct. 22
| Date: |
Chapter: | Topic: |
Practice
Problems: |
Mastery
Problems: |
Exam
problems: |
| 9/9 |
0 |
Review of proof techniques |
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| 9/10 |
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GCD's |
p.23: 7, 13,28, 46,47 |
p.23: 8, 17, 26 |
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| 9/13 |
Modular arithmetic | ||||
| 9/14 |
Induction |
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| 9/16 | Review/ catch up | ||||
| 9/17 | 1, 2 | Groups - definitions and examples | Ch. 1:5,6,7,11 Ch.2:3,9,15,16,22 |
Ch.1: 10 Ch. 2: 19, 33 |
Ch. 2: 35 due 9/24 |
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| 9/20 | 2 | Elementary properties | |||
| 9/21 | 3 | Finite groups | |||
| 9/23 | |
Subgroups | Ch. 3: 1,4,14,24,31,43 |
Ch. 3 : 10, 20, 42 |
Ch. 3: 45 due 10/4 |
| 9/24 | Continued | ||||
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| 9/27 | More on subgroups, |
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| 9/28 | 4 | Cyclic groups | Ch.4: 1,8,10,14,43 | Ch. 4: 33, 54 | |
| 9/30 |
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Cont. | |||
| 10/1 |
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Subgroups of cyclic groups | |||
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| 10/4 |
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Review |
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| 10/5 |
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No class (Nobel conference) | |||
| 10/7 |
5 | Permutation groups | Ch.5: 6,7, 9,14,15,22,30,38,39 |
Ch. 5:19, 42,45 |
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| 10/8 | Cont. | ||||
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| 10/11 | Cont. | ||||
| 10/12 |
Review | ||||
| 10/14 | Test #1 | ||||
| 10/15 | 6 |
Isomorphisms |
Ch. 6:, 2,10,12,17 |
Ch. 6, 32,33 |
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| 10/18 | Properties |
Ch. 6, 30 Due 10/28 |
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| 10/19 | |
Automorphisms |
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| 10/21 | Fact test |
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| 10/22 |
7 |
Cosets |
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| Readings
for 2nd half |