MAT352 Modern Algebra II
Kevin J. Carlin
Office: Fo 113 M-F 2:30-3:45 | Telephone: 7563
E-mail: kcarlin@assumption.edu |
Required Text
Fraleigh, A First Course in Abstract Algebra, seventh edition, Addison-Wesley, 2003.
Electronic Devices
Calculators may not be used in this course. A cell phone or other electronic communication device may not be used as a watch, a calculator, or for any other purpose. They must be put away and completely deactivated during class.
Homework Journal
For your homework journal, you will need a ring binder and a supply of loose-leaf paper. Spiral-bound notebooks will not be accepted when the journals are collected. See the homework journal page for details.
Topics
Advanced Group Theory: homomorphisms, the kernel, isomorphism theorems, composition series, groups acting on sets, Sylow theorems.
Rings and Fields: definitions and examples, homomorphisms and isomorphisms, commutative rings, fields, zero divisors, integral domains, fields of quotients, rings of polynomials, homomorphisms and quotient rings, prime and maximal ideals.
Extension Fields: some linear algebra, algebraic extensions, geometric constructions, Galois theory of equations.
Grading
There will be four quizzes, two exams (March 5 and April 23), and a cumulative final exam. The homework journal will be collected near the end of the semester. Your final grade will be based on 400 points:
4 Quizzes
and Homework Journal | Best 4 @ 20 points | 80 |
| Exams | 2 @ 100 points | 200 |
| Final Exam | 1 @ 120 points | 120 |
| | 400 |
Grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.
Make-up of any graded work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my discretion. Unexcused absence from any exam will result in a failing grade for the course.
Learning Objectives
- Students will learn the advanced techniques of group theory. They will be able to apply these in various situations.
- Students will understand the definitions of rings and fields. They will learn the principles of the theory of rings and fields. Students will be able to apply these in a variety of situations.
Course Description
MAT 352 Modern Algebra II
The continuation of MAT 351. Topics include advanced group theory, and the theory of rings and fields. Prerequisite: MAT 351.
Academic Honesty Policy
The college's academic honesty policy will be enforced as described in the Student Academic Honesty Policy booklet. Any use of a calculator or any electronic communication device is a violation of this policy.
College ADA Policy
Assumption College provides accommodation to any student with documented disabilities. If you believe that you are entitled to accommodation, please contact the Director of Disability Services (ext. 7500).
Last modified January 10, 2009