Graduate Algebra; 506
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
Announcements: There is no lecture on Friday, April 13. There will be a homework discussion session on Tuesday, April 17, at 3:30pm.
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%
TA/Grader. Jim Stark
Exams. Midterm – in class, May 4, 8:30-10:20am.
Solutions to the midterm
Final exam -- Wednesday, June 6th, 8:30am, Padelford C-36
Notes allowed but no other
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.
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.
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
Solution to problem 5: pdf
Solutions (courtesy of Reid Dale and Jim Stark): pdf
8. Homework 8: Homological algebra (assigned by Steve Mitchell) pdf, due Wednesday, May 30. If you’d like the tex file please talk to Steve.