Spring, 2000                                       Syllabus                                  MTH 4441 CC

Instructor: Dr. Sergey Belyi, e-mail: sbelyi@trojan.troy.edu

Time:  9:00-9:50  MWF COMPLX  224

Office Hours: 8:00-9:00, 10:00-11:00 MWF 235-B, ext. 3467,

Class WWW Site: http://spectrum.troy.edu/~belyi/algebra2/

Text:  Elements of Modern Algebra, by Jimmie Gilbert and Linda Gilbert, 4^th  Edition

Catalog Description: We will cover Chapter 4, 5, and 6. More on groups, elementary theory of rings, polynomial rings, divisibility, unique factorization domains. Integral domains; ideals, factor rings, divisibility in integral domains. Prerequisite: MTH 4413.

Course Objectives: Upon completion of the course, the student should be able to:

1.        Understand and apply knowledge of basic set theory, mappings, properties of integers, and mathematical induction.

2.        Identify and compare the properties of rings, ideals, quotient rings, integral domains, principal ideal domains, unique factorization domains.

3.        Understand and apply knowledge of vector spaces and linear transformations.

4.        Apply certain algebraic results to problems involving number theory and geometric constructions.

Course Requirements: 

1.       The student is expected to attend each class session and to participate in class discussion.

2.       The student is expected to complete all assignments by due dates.

3.       Students receiving graduate credit will be expected to write a paper and/or make class presentations as directed by the instructor.

Tests and Grades: Three tests will be given, but only two of them will count toward the 66% of a final grade. A comprehensive final exam will constitute approximately 34% of the final grade. Students missing a scheduled test will have a zero (0) score recorded.

Homework:  Homework will be assigned from each section covered. This homework will not be collected, however, test problems will be very similar to the homework problems.

American with Disabilities Act:  Any student whose disabilities fall within ADA must inform the instructor at the beginning of the term of any special needs or equipment necessary to accomplish the requirements of this course.

Additional Services:  Students who have or may be dealing with a disability or learning difficulty should speak with the instructor, contact the Office of Adaptive Needs Program (Wright 226), or call 670-3220/3221. Various accommodations are available through the Adaptive Needs Program.

This syllabus represents a tentative plan for the instruction in this course. If, in the opinion of the instructor, learning may be optimized, it may be changed at any time. This syllabus is a best possible assessment of the course aspirations, assignments and requirements at the time it was developed for this quarter.