Introduction to Abstract Algebra

Course Description

Sets and mappings, equivalence relations, mathematical induction, introduction to theory of groups, rings, and fields. Prerequisite: Grade of C or better in MAT 253 and MAT 310.

Syllabus

Student Learning Outcomes, Goals, Objectives:

Students successfully completing this course will be able to:

  • define basic terms associated with algebra, such as equivalence relation, group, ring, field, and homomorphism.
  • give examples of important objects in algebra;
  • explain important theorems;
  • construct and defend coherent mathematical proofs of statements in algebra.

Course Grading Information:

Activity/Performance Measure Percentage/Points
Homework 10%
Quizzes 50%
Exams 40%

Grading Scale:

Percentage Letter Grade
93%A
90%A-
87%B+
83%B
80%B-
77%C+
73%C
70%C-
67%D+
63%D
60%D-
<60%F

Attendance/Participation:

Attendance is required for all class periods. Attendance will not directly contribute to a student’s grade, will be indirectly assessed through regular in-class quizzes.

Course Materials Purchased by the Students:

Thomas W. Hungerford, Abstract Algebra: An Introduction, 3rd ed.

Scholarly Perspectives

This course engages diverse scholarly perspectives to develop critical thinking, analysis, and debate and inclusion of a reading does not imply endorsement.