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, 1/18: |
1 Introduction to Groups and Symmetry
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Friday, 1/20: |
0 Mathematical Preliminaries
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Monday, 1/23: |
2 Enough examples to make your head spin (and then determine its symmetry group!)
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Wednesday, 1/25: |
3 Subgroups and more definitions
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Friday 1/27: |
Homework Day
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Monday 1/30: |
4 Cyclic Groups
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Wednesday 2/1: |
5 Permutation Groups
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Friday 2/3: |
Quiz 1: Sections 0-4
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Monday 2/6: |
6 Isomorphisms
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Wednesday 2/8: |
7 Cosets and Lagrange's Theorem
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Friday 2/10: |
Homework Day
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Monday 2/13: |
8 External Direct Products
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Wednesday 2/15: |
9 Normal Subgroups and Factor Groups
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Friday 2/17: |
Quiz 2: Sections 5-8
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Monday, 2/20: |
10 Group Homomorphisms
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Wednesday, 2/22: |
11 Fundamental Theorem of Finite Abelian Groups
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Friday, 2/24: |
Homework Day
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Monday 2/27: |
24 Sylow Theorems
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Wednesday 3/1 |
26 Generators and Relations
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Friday 3/3: |
Quiz 3: Sections 9-11, 24
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Monday, 3/6: |
Introduction to Counting
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Wednesday 3/8: |
29 Symmetry, Counting, and Polya's Theorem
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Friday, 3/10: |
Review for Midterm (Note: The midterm will be due one week into Spring Break)
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Monday, 3/27: |
12 Introduction to Rings
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Wednesday 3/29: |
13 Integral Domains
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Friday, 3/31: |
14 Ideals and Factor Rings
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Monday, 4/3: |
15 Ring Homomorphisms
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Wednesday 4/5: |
Homework Day
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Friday, 4/7: |
Quiz 4: Sections 12-15
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Monday, 4/10: |
16 Polynomial Rings
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Wednesday 4/12: |
17 Factorization of Polynomials
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Friday, 4/14: |
Homework Day
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Monday 4/17: |
18 Divisibility in Integral Domains
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Wednesday 4/19: |
Rings and Number Theory
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Friday 4/21: |
Quiz 5: Sections 16-18
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Monday, 4/24: |
Introduction to Symmetries
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Wednesday 4/26: |
27-28 Symmetry Groups
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Friday, 4/28: |
Symmetry Scavenger Hunt/Class Dinner
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Monday, 5/3: |
20 Preview of Galois Theory
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Wednesday, 5/5: |
21 Algebraic Extensions
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Friday, 5/7: |
Homework Day
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Wednesday, 5/5: |
21 Algebraic Extensions
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Monday, 5/8: |
Course Recap and Final Review
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Final Exam: Monday, December 13, 9-11 AM |
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