CDL COURSE ENTRY FORM


Author: Laura Wait/SUNY
Last modified by: Laura Wait/SUNY
Composed: 07/15/2011 01:27 PM
Curriculum Committee Approval Date: 04/07/2011
Modified: 04/26/2018
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Course Number: (prefix) SMT (number) 274404 ESC 2.0 Course number: MATH-4010 MATH-4010Abstract Algebra I: Group Theory

Name: Abstract Algebra 1: Group Theory
Datatel Title: (30char) Abstract Algebra 1: Group

Area Coordinator: Jennifer Blue Department Code: 10SM Team: SMT

Liberal Study? YES Level: UPPER Credits: 4 Prerequisite? YES
General Education Course? NO GenEd Approval Term/Year:

GenEd Area 1: Fully or Partially:
GenEd Area 2: Fully or Partially:



Pre-registration Information?
Course will be offered (for online course descriptions, proposed offerings for by term views and web views)
Spring 1, Fall 1		Course will be offered (for final term listings, online registration, online bookordering, web views)
Spring 1, Fall 1
First Term Offered: 2013SP (Required Format: YearTerm - i.e., 2005SP)
Last Term Offered in Print Version:
Title Changes:
AC Changes: EFFECTIVE 4/23/18 CHANGED BACK TO JEN BLUE 10SM. GAVE LYNAE 10AR. CATALOG UPDATED 4/26/18. LWAIT
EFFECTIVE SP1 2018 CHANGED FROM JEN BLUE TO LYNAE WARREN; SHE TOOK OVER THE 10SM DEPT CODE. CATALOG UPDATED 1/4/18. LWAIT
EFFECTIVE SEPT '13 TERM CHANGED FROM SARAH MCALLISTER TO JEN BLUE. CATALOG UPDATED 7/23/13 LWAIT
BK Number:

Description: In this upper level study, explore the theory and applications of the algebraic structures known as groups. Topics covered in this course include: an introduction to groups; the dihedral groups; homomorphisms and isomorphisms; subgroups and cyclic subgroups; group actions; permutations; cosets and Lagrange's Theorem, Cayley's Theorem; the Sylow Theorems and the Fundamental Theorem of Finitely Generated Abelian Groups. Following this thorough investigation of group theory, students will begin to explore the basic ideas of ring theory.

The primary audience for this course is students who wish to concentrate in either mathematics or applied mathematics. Students interested in various fields which have a strong connection to this branch of mathematics (such as music theory, physics, chemistry, computer science, or the cognitive sciences) may also be interested in this course.

Prior to enrolling in this course, students should be fluent in the foundations of mathematics and mathematical proof: logic, methods of proof (both inductive and deductive), sets, relations and functions. This knowledge may be obtained from a course such as Proof and Logic or Discrete Mathematics, for example. Students should also be familiar with matrices and determinants; this knowledge can be obtained from a course such as Linear Algebra.

Generic:



Major Course Area
Science Math & Technology		Minor Course Area
Math and Quantitative Studies		SLN Disciplines
Mathematics
Additional Course Requirements
 Undergrad Certificate Association:


0




Required Booknote:

Optional Booknote:


Archive Course:

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