TEXT: Artin, Algebra, 2nd Ed., Pearson, ISBN 0134689607.

COURSE DESCRIPTION:

An introductory course in Abstract/Modern Algebra. Topics will include elementary theory of groups, rings and fields: Groups, Subgroups, Quotient Groups, Symmetry, Rings, Fields, and Extension Fields. We will explore connections between Modern Algebra, Number Theory, and Linear Algebra.

PREREQUISITES: SUNY Polytechnic Institute mathematics course at 200 level or higher, excluding MAT 225, or permission of the instructor.

COURSE OBJECTIVES: The objective of this course is the axiomatic treatment of algebraic structures and the preparation for the study of these topics at the graduate level.

LEARNING OUTCOMES:
At the end of the semester, students will be able to:

• describe groups and subgroups
• compute cyclic and permutation groups,
• compute cosets, direct products and quotient groups,
• describe and apply Lagrange's theorem,
• describe rings and fields,
• describe ideals and compute factor rings,
• understand the concept of extension fields

OFFICE HOURS:

T 4-5 PM, DON2275   R 4-5 PM, Learning Center (Cayan Library)

GRADES:

Portfolio Test (Sept. 19) Test (Oct. 17) Test (Nov. 15) Project (Nov. 29) Final (cumulative)

10 points 20 points 20 points 20 points 20 points 30 points

A+ >= 97 points A = 93,...,96 points A- = 90,...,92 points etc.

The lowest test score will be dropped.

Accommodations for Students with Disabilities

In compliance with the Americans with Disabilities Act of 1990 and Section 504 of the Rehabilitation Act, SUNY Polytechnic Institute is committed to ensuring educational access and accommodations for all registered students seeking access to meet course requirements and fully participate in programs and activities. Students with documented disabilities or medical conditions are encouraged to request these services by registering with the Office of Disability Services. For information related to these services or to schedule an appointment, please contact the Office of Disability Services using the information provided below.

Evelyn Lester, Director
Office of Disability Services
lestere@sunyit.edu
(315) 792-7170
Kunsela Hall, B101