Logistics

Important dates

Grading

No makeup exams will be given. You must pass the final in order to pass the course.

Homework is due on Wednesdays, at the beginning of class.

Tentative syllabus

1 1/17 Introduction to groups 1
2 1/22 Definition and properties of groups 2-3
3 1/29 Cyclic groups and abelian groups 4, 8, 11
4 2/5 Bijections and permutation groups 5
5 2/12 Homomorphisms 6, 10
6 2/19 Cosets and conjugacy 7, 24
7 2/26 Normal subgroups 9
8 3/5 Factor groups 9
spring break
9 3/19 Introduction to rings 12-13
10 3/26 Polynomial rings 16-17
11 4/2 Ideals 14
12 4/9 Ring homomorphisms 15
13 4/16 Unique factorization 18
14 4/23 Symmetry groups 27-28
15 4/30 Counting 29
16 5/7 Review