Graduate
Algebra Math 506, Spring 2016
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)
Course Description. This
is the third (and last!) 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%
Exams. Midterm – May, April 6th.
Final exam -- Friday, June
3rd, 8:30-10:30am, Padelford C-36
Notes allowed but no other external sources.
Schedule
(new!)
No class Wednesday, April 20, Friday, April 22
Longer class (9:00-10:20am) MWF April 25, April 27, April
29.
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 collected on Wednesday in class unless specified
otherwise. No late homework is accepted. E-mailing homework before the deadline
is fine.
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 to the topic with 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.
Textbooks.
1. Commutative algebra:
o
Introduction to Commutative
Algebra, M.
Atiyah and I. Macdonald (main reference)
o
Commutative algebra with a view
towards algebraic Geometry,
D. Eisenbud
o
``Undergraduate commutative
algebra” and “Undergraduate algebraic geometry”, M. Reid
2. Homological algebra:
o
An
introduction to homological algebra, C. Weibel
3. General references:
o
Abstract Algebra, D. Dummit
and R. Foote
o
Algebra, S. Lang
Homework assignments.
1. Homework 1, due Wednesday, April
13. .tex,
.pdf
2. Homework 2 – Worksheet 1, due
Friday, April 22. Tex, pdf.
3. Homework 3, due Friday, April
29. Tex, pdf
4. Homework 4, due Friday, May 13. Tex, pdf
5. Homework 5, due Friday, May 20. Tex, pdf
6. Homework 6 – Worksheet 2, due
Friday, May 27. Tex, pdf
7. Homework 7, due Wednesday, June
1. tex, pdf