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 12th,
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, 2nd 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 7th,
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 10th,
Julia will hold office hours at 10:30am.