COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
WRITING ASSIGNMENTS
OFFICE HOURS
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Math 385
Introduction to Abstract Algebra
Schedule
Daily topics are subject to change. This is a preliminary (optimistic?) schedule of topics that we will cover this semester. Note: The topics for the last three lectures are open for discussion. The book has several special topics and I would be happy to cover any of them that you would like to see covered in class.
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Wednesday, 9/1: |
1 Introduction to Groups and Symmetry
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Friday, 9/3: |
0 Mathematical Preliminaries
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Monday, 9/6: |
2 Enough examples to make your head spin (and then determine its symmetry group!)
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Wednesday, 9/8: |
3 Subgroups and more definitions
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Friday 9/10: |
Homework Day
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Monday 9/13: |
4 Cyclic Groups
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Wednesday 9/15: |
5 Permutation Groups
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Friday 9/17: |
Quiz 1: Sections 0-4
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Monday 9/20: |
6 Isomorphisms
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Wednesday 9/22: |
7 Cosets and Lagrange's Theorem
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Friday 9/24: |
Homework Day
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Monday 9/27:: |
8 External Direct Products
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Wednesday 9/29: |
9 Normal Subgroups and Factor Groups
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Friday 10/1: |
Quiz 2: Sections 5-8
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Monday, 10/4: |
10 Group Homomorphisms
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Wednesday, 10/6: |
11 Fundamental Theorem of Finite Abelian Groups
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Friday, 10/8: |
Homework Day
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Monday 10/11: |
No Class: Fall Break
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Wednesday 10/13 |
Review Of Groups
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Friday 10/15: |
Quiz 3: Sections 9-11, Take Home Exam 1: Groups
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Monday, 10/18: |
12 Introduction to Rings
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Wednesday 10/20: |
13 Integral Domains
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Friday, 10/22: |
Homework Day
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Monday, 10/25: |
14 Ideals and Factor Rings
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Wednesday 10/27: |
15 Ring Homomorphisms
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Friday, 10/29: |
Quiz 4: Sections 12-14
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Monday, 11/1: |
16 Polynomial Rings
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Wednesday 11/3: |
17 Factorization of Polynomials
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Friday, 11/5: |
Homework Day
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Monday, 11/8: |
18 Divisibility in Integral Domains
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Wednesday 11/10: |
19 Review of Vector Spaces
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Friday, 11/12: |
Quiz 5: Sections 15-18
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Monday 11/15: |
20 Extension Fields
Take home Exam 2: Rings
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Wednesday 11/17: |
21 Algebraic Extensions
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Friday 11/19: |
Homework Day
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Monday, 11/29: |
22 Finite Fields
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Wednesday 12/1: |
23 Constructions
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Friday, 12/3: |
Quiz 6: Sections 19-22
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Monday, 12/6: |
24 Sylow Theorems
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Wednesday, 12/8: |
27 Symmetry Groups
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Friday, 12/10: |
30 Cayley Digraphs of Groups
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Final Exam: Monday, December 13, 9-11 AM |
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