MATH 403A     Winter, 2019  




Final Exam:   Tuesday, March 20th, 8:30--10:20 AM
Practice Questions for the Final,     Solutions
Office Hours: Monday, March 18th, 10:00 - 12:00,   1:30-3:30


INSTRUCTOR: Ralph Greenberg, Padelford C-553, 543-7648, greenber@math.washington.edu


WEBPAGE: http://www.math.washington.edu/~greenber/MATH403-2019.html


OFFICE HOURS: Monday 1:00 - 2:15,   Wednesday 2:00 - 3:15,   Other times by appointment.


TEXT: Abstract Algebra: Theory and Applications,    Thomas W. Judson.   

GRADING: The grade will be based on the homework assignments (which count 15% altogether), the midterm (which counts 35%), and the final (which counts 50%). The midterm will be on Friday, February 8th. The final will be on Tuesday, March 19th, 8:30 - 10:20 AM.


Math 403 is an introduction to group theory. We plan to cover most of chapters 3,  4,   5,  6,  9,  10 and 11 in the text. A significant part of the course will be the theoretical side of group theory - various theorems about the properties of groups, either general groups or special types of groups. But another significant part of the course will be studying and getting to know specific groups. Both parts are crucial for gaining an understanding of group theory.


Homework Assignments:    1,    2,    3,    4,    5,

Homework Solutions:       1,       2,       3,    4,       5,

Practice Questions for the Midterm,    Solutions

Solutions for the midterm


Handouts

Propositions about cyclic groups and orders of elements

Isomorphisms, Automorphisms, and Conjugacy

The left and right coset decompositions

Propositions about Conjugacy, Theorems about Finite Groups

Propositions about Group Homomorphisms