Monday, Wednesday, Friday 4:00pm - 4:50pm, University Crossings 153

Students with special exam-taking requirements or time conflicts should contact me by October 4.

Week 1: Sep 23, Sep 25, Sep 27

Definitions and examples of groups, matrix groups, subgroups.

Read 1.3--1.5 in Fraleigh.
Homework 1 due Oct 2.

For problem 1(a), use the definition N = {0,1,2,...}.

Week 2: Sep 30, Oct 2, Oct 4

Cyclic groups, Cosets.

Read 1.5, 0.2.15--0.2.21, 2.3 in Fraleigh.

No Quiz this week. The first quiz will be in recitation Oct 7 or 9.

Homework 2 due Friday Oct 11.

Homeworks will be due on Fridays from now on, including Homework 2.

Week 3: Oct 7, Oct 9, Oct 11

Lagrange's Theorem, classification of groups of order 6, group homomorphisms, image, kernel

Read 2.3,3.1 in Fraleigh.
Homework 3 due Oct 18

Week 4: Oct 16, Oct 18

Normal subgroups, product groups, isomorphisms

Read 3.1 and the beginning of 2.4 through Example 2.4.11 in Fraleigh.

The quiz will be in class this week instead of recitation since we didn't have class Monday.

Homework 4 due Nov 01 (no homework due October 25 because of the midterm)

Week 5: Oct 21, Oct 23, Oct 25

Read 3.2 in Fraleigh.

Quotient groups

Midterm: October 23. It will be in-class and 50 minutes long.

Try to arrive a couple minutes early to class if possible so we can start exactly on the hour.
The midterm will cover all the material from class up through Monday Oct 21 and homeworks 1-4 (I won't give a problem as hard as 4.7--4.9, but something like problems 4.1--4.6 is possible). The relevant book sections are those listed above for weeks 1--5. In general I will try to make the questions related to the more recent material easier.

Week 6: Oct 28, Oct 30, Nov 01

Read 3.2, 2.1, 0.2.15--0.2.21 in Fraleigh.

First isomorphism theorem, the symmetric group

Homework 5 due Nov 08

The quiz on Nov 4/6 will focus on Homework 4.

Week 7: Nov 4, Nov 6, Nov 8

Read 2.1, 3.5 in Fraleigh.

The symmetric group, conjugacy classes, group actions

Homework 6 due Nov 15

Week 8: Nov 11, Nov 13, Nov 15

Read 3.5 in Fraleigh.

Group actions

Homework 7 due Nov 22

Week 9: Nov 18, Nov 20, Nov 22

Read 3.6, 4.2-4.3 in Fraleigh.

Burnside's Theorem, p-groups, Sylow theorems

There will be no quiz the week of November 25.

Week 10: Nov 25

Read 4.2-4.3 in Fraleigh.

Applications of Sylow theorems, proof of Cauchy's Thm

Homework 8 due Dec 06

Week 11: Dec 02, Dec 04, Dec 06

Read 4.3, 2.4 Fraleigh.

Applications of Sylow theorems, groups of order 12, abelian groups, final review

I will be gone December 2-4 and Felix will cover class. There will be a quiz in class on December 4, not in recitation.
I will not have office hours on Dec 4th, but office hours will be 11:30-12:30 as usual on Dec 6th.

The Final Exam is on Thursday, December 12, in PISB 108, from 1pm to 3pm.
It will cover all the material from class and on the homeworks, with more emphasis on the material from weeks 5-11.
The format of the final will be similar to the midterm but about two times as long.

Extra Office Hours: Monday December 09, 1:30 - 3:00pm.

Students requesting accommodations due to a disability at Drexel University need to request a current Accommodations Verification Letter (AVL) in the ClockWork database before accommodations can be made. These requests are received by Disability Resources (DR), who then issues the AVL to the appropriate contacts. For additional information, visit the DR website at drexel.edu/oed/disabilityResources/overview/, or contact DR for more information by phone at 215.895.1401, or by email at disability@drexel.edu.