MATH  421

 

Abstract Algebra

 

Spring 2002

 

Professor: Sarah N.Ziesler

Office: Lewis 307

Office phone: (708) 524 6838

Home phone: (708) 358 1365

Email: ziessara@email.dom.edu

 

Office Hours:  9.30-10.20  MWF     12.30-1.20   MWF

                         9.30-11.20   R

 

Lectures: MWF 1.30-2.20p.m.

 

Text:  A First Course in Abstract Algebra by Joseph R.Rotman

 

Chapters studied: 1,2,3 and parts of 4.

 

Prerequisites: Mathematics 230 and 262

 

Course Objectives: The objectives of this course are to define the algebraic structures of groups, rings and fields, with an emphasis on examples; to demonstrate the importance of the axiomatic method in mathematics; and to show the connection of this theory with some classical problems in mathematics, such as duplication of the cube, squaring the circle or the impossibility of solving a quintic with radicals. 

 

Major Topics

1.      Elementary Number Theory

2.      Groups

3.      Rings and Fields

4.  Classical Problems

 

Course Requirements: There will be a test at the end of each chapter. These will be equally weighted and will together count for 75% of the final grade. Homework assignments will count for 20%. The remaining 5% of the grade will be made up from several short quizzes, attendance and class participation.

 

Attendance: Attendance will be taken at the beginning of each class. Should you be unable to attend I expect you to call me and explain your absence. Unexplained absences or frequent lateness may affect your grade. More than

8 absences will result in a course grade of F.

 

Examinations:  There will be 2 midterms and a final. Make-up exams will not be given except in extraordinary circumstances and with prior approval. To arrange for a make-up exam you must call me or see me before the scheduled examination. Missed examinations automatically result in a grade of 0.

 

Quizzes:  There will be a few short quizzes during the semester. They will last approximately 20 minutes. At the end of the semester your worst score will be thrown out and the rest averaged. A missed quiz will count as the one

thrown out. Every possible effort should be made to be in class for the quizzes: there will be no make-ups.

 

Homework: Homework will be assigned at least once a week and, unless otherwise stated, will be due one week from the day that it is assigned. Late homework will be accepted for credit only if you obtain prior approval. No homework will be accepted more than 1 class period late.

 

Grading Scale:

90-100       A

80-89         B

70-79         C

60-69                  D

Below 60   F

I may curve the grades at the end of the semester if it is to your benefit.