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Course: Math 830, Abstract Algebra I
Time and Place: MWF 11:00 - 11:50am, Snow Hall 456
Description: This course will focus on modules over commutative rings. Topics include basic module theory (e.g., submodules, homomorphisms, direct sums and tensor products); free modules, injective modules, projective modules; direct and inverse limits; elements of homological algebra. Additional topics may include the theory of modules over principal ideal domains, and normal forms; graded rings and modules.
Text: None required.
Instructor: Professor D. Katz
Office: Snow Hall 501
Office Hours: MWF 10:00am - 11am and by appointment via Zoom. Please feel free to schedule a meeting or send an email whenever you have questions about the course or questions about problems on a homework assignment. You are also welcome to drop by any time I happen to be in my office.
E-mail: dlk53 AT ku dot edu
Daily Update: After each class, a synopsis of what was covered appears here: Daily Update.
Homework Assignments: Homework will be of two types. There will be problems assigned daily after each class. Beginning September 8, there will also be biweekly (fortnightly) homework assignments to be turned in, which consist largely of problems selected from the Daily Homework. You may discuss homework problems with your fellow classmates; in fact, I encourage you to form working groups for homework sets. However, I would like to ask that each person in the class write up the final version of each assignment on their own.
Daily Homework: Can be found here.
Course Grading: Your total Homework score will count 75 percent of your final grade. There will also be an in-class final exam counting 25 percent of your final grade.
Grading Scale: A = 80-100; B = 60-79; C= 50-59; D = 40-49; F = 0-39.
Final Exam Date: Tuesday, December 9, 10:30am -1:00pm.
Canvas: All important course information and relevant resources can also be found on Canvas.
Supplementary Material:
Structure theorem for finitely generated modules over a PID
Students with special needs
The Student Access Center assists students with disabilities by facilitating accommodations that remove barriers to their academic success. The SAC office is located in Strong Hall 22, and is open M-F, 8am - 5pm. Phone: 785-864-4064. Email: access@ku.edu. URL: Student Access Center
Policy on religious observances
Any student who has a conflict between the course schedule and a religious holiday should contact the instructor as soon as possible.
Additional resource and policy information
Students are encouraged to familiarize themselves with University Policies and Student Resources. Relevant information may be found here: Student Resources