University of Rhode Island MTH316: Algebra
Fall 2016

Schedule

Here is a course timetable showing exactly where we are in class. I will attempt to update it at least weekly, to give you an idea of the reading you need to do to prepare for class.

Week beginningChapterNotes
09/05Introductions
Admin
Discussion of Worksheet (in groups)
First day of class. Please read Chapter 0 to help remind yourself of some prerequisites. Here is the introductory worksheet.
09/121. Introduction to groups
2. Groups
09/193. Finite Groups; SubgroupsQuiz 1 and Homework 1 due on 09/20
09/264. Cyclic GroupsQuiz 2 and Homework 2 due on 09/27
10/034. Cyclic Groups
5. Permutation Groups
Quiz 3 and Homework 3 due on 10/04
10/105. Permutation Groups
6. Isomorphisms
Quiz 4 and Homework 4 due on 10/11
10/17Midterm I
6. Isomorphisms
No quiz this week
10/246. IsomorphismsQuiz 5 and Homework 5 due on 10/25
10/317. Cosets and Lagrange's TheoremQuiz 6 and Homework 6 due on 11/01
11/077. Lagrange's Theorem
8. External Direct Products
Quiz 7 and Homework 7 due on 11/08
11/148. External Direct Products
9. Normal Subgroups and Factor Groups
Quiz 8 and Homework 8 due on 11/15
11/21Midterm IINo class on 11/24 (Thanksgiving), Midterm II on 11/22
11/289. Factor Groups
10. Homomorphisms
12/0511. Fundamental Theorem of Finite Abelian Groups