Math541, 641

Abstract Algebra

 

 

                                                 ab - ba = a beautiful mind

 

 

 

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Course Handouts

Homework Assignments (to be updated as the course moves along)

Solutions of Homework Problems

 

OFFICE: Armstrong Hall, 308K

 

OFFICE HOURS: Mondays and Wednesdays, 12:30 -2:00PM

 

TEXTBOOK: Algebra, by Hungerford

 

GOALS: The goals of this sequence of algebra courses are to impact an appreciation of algebra from both applied and pure math view points, and to help students build up the mathematical competence in this essential and important tool of mathematics.

 

COURSE DESCRIPTION: In the first semester, the following topics will be covered. Groups and the structure of groups (through the discussions on subgroups, normal subgroups, quotient groups, products, centralizers and normalizers, normal sequences, among others), elementary ring theory, factorization, PIDs and UFDs, polynomials and power series, elementary properties of modules and vector spaces.  In the Second semester, some of the topics covered will be the theory of modules, (free, injective and projective modules), field theory and Galois theory. If time permits, we will also discuss other topics including finite fields, modules over finite commutative rings and/or lattice theory.

 

HOMEWORK and EXAMS: Homework will be assigned and collected every other week. Your homework average will contribute 50% of your grade. There will be two midterm exams (together comprising 25% of your grade) and a final worth 25% of your grade.

 

Grading:

Score

Grade

90% and up

A

80-89%

B

70-79%

C

60-69%

D

59% and down

F

 

 

 

 

 

 

Page Last Modified: 01.06.03