Algebraic str. Syll S92

 

 

21-373 Algebraic structures
MWF1:30-2:20PM DH1211

 

Purpose. The intention of this course is to introduce the basic concepts and facts of modern algebra. This should prepare the student to be able to manipulate and understand fairly abstract concepts, and provide the necessary background for a large number of courses in algebra and applications. We will present some of the most useful ideas of algebra, which are of great importance in a large number of subjects within mathematics and outside.

Text: "Abstract algebra" by D. Dummit & R. Foote, 2nd edition published by Prentice Hall 1998.
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Professor: Rami Grossberg

Office: WEH 7204

Phone: 268-8482 (direct), messages at 268-2545

Email: Rami@cmu.edu

Webpage: www.math.cmu.edu\~rami

Office Hours: by appointment. On Wednesday 12/8/99. I will be available in my office from 2PM till 6PM.

Test Dates: The first test will be on Monday October 4th instead of a scheduled lecture.
The second test will be on Monday November 15. The final December 7th.

Evaluation: There will be two one hour tests (in class), weekly assignments, and a three hour in class comprehensive final examination. Make-up exams will be given only in the case of a documented medical excuse or an "emergency". Permission to miss an exam should be obtained prior to the exam if possible. Make-up exams generally will be oral. The final will cover all the course material. These will be weighted as follows:

• each of the two midterm tests will make up 20% of the grade

• the final will make up 40% of the grade

• Homework assignments will make up 20% of the grade.

Algebraic structures homework.

The standards of academic honesty as stated in the Student Handbook will be strictly enforced.

Assignments: A list will be handed out in each class. There will be two types of problems: with an asterisk and without. The problems with an asterisk will be collected in class once a week every Monday and will be graded. The homework is an important part of the learning process; you are strongly advised to try all of the assigned problems; in case of difficulties you should consult me.

Material to be covered: We will concentrate in the basic properties of groups, and rings. We will cover Most of chapters 1-9 (the first half of the book). We will concentrate on chapters 3,4,8 and 9.