COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
OFFICE HOURS
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Math 385, Fall 2014
Abstract Algebra
Daily Topics
We will try to cover approximately two sections per week in the Monday, Tuesday and Thursday class meetings. The Friday class meetings are for Homework and Quizzes, as well as additional questions on the material.
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Tuesday, 9/2: |
Into to Algebra, Chapter 0: A review of Math 260
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Thursday, 9/4: |
Chapter 1: Introduction to Groups and Symmetry |
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Friday 9/5: |
Oral Homework Presentation, Discussion of Math 260 Topics
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Monday, 9/8: |
Chapter 2: Examples and Facts about Groups |
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Tuesday, 9/9: |
Chapters 2 and 3: Groups and Subgroups
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Thursday, 9/11: |
Chapter 3: Subgroup Tests
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Friday, 9/12: |
Quiz 1
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Monday, 9/15: |
Chapter 4: Cyclic Groups
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Tuesday, 9/16: |
Chapters 4 and 5: Theorems on Cyclic Groups, Intro to Permutations
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Thursday, 9/18: |
Chapter 5: More on Permutations
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Friday, 9/19: |
Oral Homework Presentations from Chapters 2 and 3
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Monday, 9/22: |
Chapter 5: Even and Odd Permutations, Tetrahedra and Cubes |
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Tuesday, 9/23: |
Chapter 6: Isomorphisms
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Thursday, 9/25: |
Chapter 6: Automorphisms and Inner Automorphisms
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Friday, 9/12: |
Quiz 2
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Monday, 9/29: |
Chapter 7: Subgroups, Cosets, and LaGrange's Theorem |
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Tuesday, 9/30: |
Chapter 7: Classification of Groups, Orbit-Stabilizer Theorem
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Thursday, 10/2: |
Chapter 8: External Direct Products
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Friday, 10/3: |
Homework Presentations from Chapters 6 and 7
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Monday, 10/6: |
Chapters 8 and 9: U groups and Normal Subgroups
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Tuesday, 10/7: |
Chapter 9: Quotient (Factor) Groups and Internal Direct Products
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Thursday, 10/9: |
Chapter 10: Group Homomorphisms, Well-defined Maps
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Friday, 10/10: |
Presentations from Chapters 9, 10, Quiz 3
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Thursday, 10/16: |
Chapter 10: Group Homomorphisms and Isomorphism Theorems
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Friday, 10/17: |
Chapters 10,11: Kernels and Abelian Groups.
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