Syllabus and Homework


Below is a tentative syllabus for the term. Please note that this syllabus may change as the term progresses.

Week Date Reading Topic Exercises
16/22Introduction and Cayley tables
Homework 1 and TeX File
26/25Ch 2,3Operations and Definition of Groups
6/27Ch 4, 10Group Properties, Order of elements
6/28Proof Techniques
6/29Ch 5Subgroups
Homework 2 and TeX File
37/2Ch 11Cyclic Groups
7/4No class (Happy 4th of July!)
7/5Ch 6,7,8Functions, Permutations
7/6Ch 7,8Permutations
Homework 3 and TeX File
47/9Ch 9Isomorphisms, Homomorphisms
7/11Ch 12Partitions and Equivalence Relations
7/12LaTeX workshop
7/13Ch 13Cosets and Lagrange's Theorem
Homework 4 and TeX File
57/16Ch 14Normal Subgroups
7/18In-class Midterm
7/19Ch 15Quotient Groups
7/20Ch 14,16Homomorphisms
Take Home Midterm and TeX File
67/23Ch 16No Class
7/25Ch 16Homomorphisms
7/27Fundamental Theorem of Finite Abelian Groups
Homework 5 and TeX File
77/30Ch 17Introduction to Rings
8/1Ch 18Ideals
8/2Work on Projects
8/3Ch 19Quotient Rings
Homework 6 and TeX File
88/6Ch 20Integral Domains
8/8Ch 18Ring Homomorphisms
8/9Work on Projects
8/10Ch 24Polynomial Rings
Homework 7 and TeX File
98/13Ch 24Polynomial Rings
8/15Ch 25Factoring Polynomials
8/16Work on Projects
8/17Ch 25Factoring Polynomials
Final and TeX File
108/20Presentations
8/22Presentations
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