**Graduate
Algebra 504, Autumn 2018
**

__Instructor__: Julia Pevtsova

__Place__: Padelford
Hall, C36

__Time__: 9:30-10:20, MWF

__Office
Hours__: by
appointment (that is, I am happy to talk between classes, just need an advance
notice);

__Teaching
Assistant__: Varodom (Smart) Thep

__Office:__ ART 336/333

__Office
hours__: Tuesday
10-11:30 am

Course
Description. This is the first quarter
of the first-year algebra sequence.
Here is the Syllabus
including recommended texts.

__Grading
system__. Grades will be determined based on homework
assignments, a midterm and a final as follows:

·
Homework
40%

·
Midterm
20%

·
Final
40%

Midterm
Wednesday, **November 7, in class,
9:00-10:20am**

Final
exam is Wednesday, **December 12 ^{th}**,
8:30-10:20am

__Homework.__
Assignments will be posted on this website on a weekly basis. You are
encouraged to tex your homework especially if you did
not take a calligraphy course in the past. The homework will be due in class on
Wednesday morning. No late homework is accepted.

__Worksheets__.
This is a special homework assignment. It counts towards the total homework
grade. The format is different from the
regular homework. The worksheet is designed as an independent study (or review)
of a particular topic. You’ll get a
short written introduction the topic with all the proofs missing. You’ll need
to ``fill in the blanks”, that is, supply the proofs. Once the worksheet is
graded and returned to you, it should be added to your notes. You may attach
your proofs to the original worksheet, or download the tex
file and add the proofs right where they belong so that you get a nice and
continuous exposition. The material from the worksheets will be used later in
the course and relied on in exams in the same way as the material presented in
lecture.

__References__.

o *Algebra,
*Lang

o *Algebra,
*Hungerford

o *Abstract
Algebra, *Dummit and Foote

o *An
Introduction to the Theory of Groups*, Rotman

o *Linear Algebra Done
Right, 2 ^{nd} edition,* S. Axler (recommended
by one of my former students)

__Notes.__ Max Götzler has graciously agreed to
share the notes he is typing up for the course. They can be found here.

Homework 1, due Wednesday, October 3. __.pdf__,
.tex

MyDefns file – you’ll need this if you want to use my
tex files

Homework
2, due Wednesday, October 10, .tex

Solutions
to HW2, written by Smart

Homework
3, due Wednesday, October 17, .tex

Solutions/hints
to HW3

Homework
4, due Wednesday, October 24, .tex

Solutions/hints
to HW4

Worksheet on Symmetric groups (Homework 5), due on
November 2, tex

List
of topics for the midterm

Homework 5, post-midterm (optional)

Homework 6, due Wednesday, November 21; tex

Worksheet on Symmetric polynomials (Homework 7),
due on November 28, Tex

Homework 8, due Wednesday, December 5. tex

Announcement/Schedule.

1. On Friday, October 26, the
lecture will be in the format of an independent study session – please come and
discuss the results on the structure of the symmetric group from the worksheet.

2. On Wednesday, November 7^{th},
the midterm will start at **9am **so that you’ll 80
minutes to complete it.

3. On Wednesday, December 5th, we’ll
have general homework discussion at 5 pm in the Lounge

4. On Monday, December 10^{th},
Julia will hold office hours at 10:30am.