Math 111A - Summer 2017

Syllabus

Course Notes - There is no textbook for the course. We will be following these notes written by Professor Robert Boltje for when he taught the course last summer.

Homeworks and Practice Problems

• Homework 1 - Due Monday, July 3
• Homework 2 - Due Monday, July 10
• Homework 3 - Due Wednesday, July 19
• Homework 4 - Due Wednesday, July 26
• Symmetry Groups Problems - Extra problems on symmetry groups. Will not be collected.
• Practice Problems for Final - These are practice problems for the final.

Lecture Notes

• Preamble
• Groups: Basic Definitions
• Subgroups
• Cyclic Groups
• Direct Products
• Cosets and Lagrange's Theorem
• Normal Subgroups and Factor Groups
• Symmetric Groups
• Symmetry Groups
• Group Homomorphisms and Isomorphism Theorems
• Group Actions
• Sylow's Theorems
• Solvable Groups