MATH113

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MATH 113 - Introduction to Abstract Algebra

Mathematics Undergraduate CLS - College of Letters and Science

Subject

MATH

Course Number

113

Department

Course Level

Undergraduate

Course Title

Introduction to Abstract Algebra

Course Description

Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions.

Minimum Units

4

Maximum Units

4

Grading Basis

Default Letter Grade; P/NP Option

Method of Assessment

Written Exam

Instructors

Staff

Prerequisites

54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs.

Repeat Rules

Course is not repeatable for credit.

Credit Restriction Courses. Students will receive no credit for this course if following the course(s) have already been completed.

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Formats

Lecture, Discussion

Term

Fall and Spring

Weeks

15 weeks

Weeks

15

Lecture Hours

3

Lecture Hours Min

3

Lecture Hours Max

3

Lecture Mode of Instruction

In Person

Discussion Hours Max

2

Discussion Mode of Instruction

In Person

Outside Work Hours Min

7

Outside Work Hours Max

9

Term

Summer

Weeks

8 weeks

Weeks

8

Lecture Hours

8

Lecture Hours Min

8

Lecture Hours Max

8

Lecture Mode of Instruction

In Person

Discussion Mode of Instruction

In Person

Outside Work Hours

15

Outside Work Hours Min

15

Outside Work Hours Max

15