Math-370 Modern Algebra I

Mathematics, Statistics & Computer Science Department

COURSE NO./TITLE: MATH-370 (355-370) MODERN ALGEBRA I

CREDIT: 3

COURSE DESCRIPTION: Set theory, mappings, equivalence relations and classes, mathematical induction, ismorphisms; introduction to groups and sub-groups.

Prerequisite: MATH-154 or MATH-157 and MATH-275.

TEXTBOOK:

  • Abstract Algebra, 6th Ed., by Gallian (adopted 8/06)
  • (Adopted 8/03: Abstract Algebra, 5th Ed., by Gallian)
  • (Adopted 8/00: Modern Algebra, 8th Ed., by Gallian
  • (Used 8/97-5/00: Abstract Algebra, 2nd Ed., by Hungerford)
  • (Prior to Fall 1997: Abstract Algebra, 1st Ed., by Hungerford)

COURSE OBJECTIVES:

  1. The student becomes an active participant in formulating rigorous mathematical proofs.
  2. The student sees the structural development of mathematics.
  3. The student sharpens his logical thought processes.

COURSE OUTLINE:

  1. Set Theory
  2. Division Algorithm and Greatest Common Denominator
  3. Fundamental Theorem of Arithmetic
  4. Modular Arithmetic
  5. Mathematical Induction
  6. Equivalence Relations
  7. Functions
  8. Introduction to Groups and Their Properties
  9. Sub-Groups
  10. Cyclic Groups and Sub-Groups

Revised 6/08