MATH 340 - Modern Applied Algebra

Institution:

Point Park University

Subject:

MATH

Description:

Introduction to semi groups, groups, rings, fields and algebras with emphasis on applications to the theory of computation. Course Objectives (1) Describe and apply the basic concepts of number theory including the division algorithm, Euclid's algorithm, primes, the unique factorization theorem, Euler's theorem, and Fermat's Theorem. (2) Understand and use modular arithmetic and the Chinese remainder theorem. (3) Define rings and fields and investigate the field of complex numbers. (4) State the definition of a group and give examples. (5) State, prove and use elementary theorems of groups. (6) Define and find subgroups. (7) State, prove, and use basic theorems of subgroups. (8) State and prove theorems regarding isomorphism, homomorphism, cyclic groups, and permutation groups. (9) Find cosets and prove theorems regarding cosets. (10) State and apply properties of normal subgroups and quotient groups. (11) State, prove, and use elementary properties of rings, ideals, and quotient rings.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.pointpark.edu

Phone Number:

(412) 391-4100

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

The Course Profile information is provided and updated by third parties including the respective institutions. While the institutions are able to update their information at any time, the information is not independently validated, and no party associated with this website can accept responsibility for its accuracy.