Abstract Algebra
Math 732 Spring 2011
Lecture 001, Class # 19661

Teacher: Jeb F. Willenbring

Office: EMS E461                      e-mail: jw@uwm.edu
Hours: By appointment.                      Phone: (414) 229-5112

1  Course Description

Math 732 is the second semester of a year long algebra sequence. In the past, the year has focused on prerequisite material for all other 700-799 level courses in algebra: groups, rings, fields, Galois theory, modules, algebraic geometry, representation theory, and categories. Please see the Graduate Bulletin for the official description. Note that Math 732 is designed to follow Math 731. In general, we assume knowledge of other courses at UW-Milwaukee with content that is algebraic in flavor (e.g. 531, 535, 631, 632, 731).

We are using the book by Dummit and Foote. The book was chosen as our textbook this year, in part, because of the broad range of topics when compared to other algebra books at this same level. For the second semester, we will first finish the material on Galois theory, and then focus on Parts V (Commutative Rings, Algebraic Geometry and Homological Algebra) and VI (Representation theory).

2  Course Details

Class time
12:30pm-1:45pm Monday and Wednesday in EMS E208
Dummit, David S.; Foote, Richard M. Abstract algebra. John Wiley & sons, Inc.; Third Edition; (2003); Hardcover 944 pages; ISBN: 0471433349
There will be both a midterm and final exam. Each are one half of your course grade.
The midterm will involve a meeting with the teacher at a mutually agreed upon time during the first week after spring break. Part of the goal of Math 732 is to prepare students to take the Ph.D. preliminary exam in algebra, and so the format of the midterm will be similar to the prelim.
The final exam will be take home and will emphasize (but not be limited to) the non-collected homework problems.
Graduate standing; Math 731; consent of instructor. In general, students should be advised that in Math 732 we assume that you know what a mathematical proof is and how to read and write one. Furthermore, we assume you have familiarity with elementary algebraic constructions in the undergraduate curriculum (e.g. groups, rings, vector spaces, linear transformations, determinants, eigenvalues).
Important Dates
January 24
First day of class.
February 4
Last day to register late, add full-term classes, or change sections
February 18
Last day to withdraw without 'W' notation on transcript
March 18
Last day to withdraw from class
March 20 - 27
Spring Break
May 13
Study Day (no class)
May 14, May 16-21
Final exam period
Attending lectures regularly is in your own interest. Attendance will be taken. Accommodations will be made for absences due to illness, religious observations, and military duty will be made, where proper documentation is provided.
Special Accommodations
If you need special accommodations in order to meet the requirements of the course, please contact me and provide proper documentation (VISA form) as soon as possible.
Statement of Academic Misconduct
The university has a responsibility to promote academic honesty and integrity and to develop procedures to deal effectively with instances of academic dishonestly. Students are responsible for the honest completion and representation of their work, for the appropriate citation of sources, and for respect of others' academic endeavors. Cheating on exams or plagiarism are violations of the academic honor code and carry severe sanctions, including failing a course or even suspension or dismissal from the University. More information is available at
Statement of Discriminatory Conduct, Including Sexual Harassment
Discrimination and sexual harassment is reprehensible and will not be tolerated by the University. It subverts the mission of the University and threatens the careers, educational experience, and well being of students, faculty, and staff. The University will not tolerate behavior between or among members of the University community which creates and unacceptable working environment. More information is available at
Posted room changes
or class cancelations will be on Official Department Letterhead
Course Evaluation Policies
are posted at

File translated from TEX by TTH, version 3.85.
On 23 Jan 2011, 18:29.