Mathematics  461:   Abstract Algebra                      Fall Semester 2003

 Course and Schedule Information

 

Prerequisite:  MTH 142 and 252, Discrete Analysis II and Differential Equations with Linear Algebra

Instructor:  Dr. Warren Hickman Text:  Modern Algebra, 4rd Edition
          by John R. Durbin
Office:  HSC 158 
Office Hours:  MWF       8:30 - 10:00 AM
                                      
1:00 -   3:00 PM
Phone:  7285         
                      TR          11 AM - 12 Noon

                                     1:00 -   3:00 PM

            Other times by appointment (i.e. call first)

Objectives:  My objectives for you in taking this course are (in no particular order):
1.  To gain an awareness and appreciation that the results and concepts of abstract algebra play an ever more important role in numerous fields, particularly physics, chemistry, biology and  computer science,
2.  To gain “mathematical maturity” in the writing and the comprehension of proofs,
3.  To learn some highly useable tools which are applicable in various areas, and
4.  To understand how a knowledge of groups, cosets and isomorphisms enhance our ability to study the properties of other structures.

                                                                                                                                                                                                                                                                                                                                          

General Information:  We will cover chapters I through V and parts of VI and VII.  The learning and understanding of definitions is crucial to your doing well in this course.  Definitions are the basis of one’s ability to communicate with another in mathematics. There is absolutely no excuse for you to not know and understand the definitions we encounter.  If you have difficulty, ask me to explain.

Proofs are difficult to construct but you can learn to write a “good” proof.  Expect a fair amount of frustration in attempting to understand and/or write a proof; it’s normal and part of learning mathematics.

 

Class Attendance and participation are important.  You are, of course, expected to come to class prepared.  That is, you are to have read and contemplated the assigned sections of the text, put thought and effort into the exercises and also do whatever else is expected by the instructor.  For every unexcused absence, seven points will be deducted from your participation grade of 50 points.  An excused absence is one for which you have a Health Center slip, doctor’s receipt or other verification.  If you miss an exam for an excused absence, you will be able to schedule a make-up exam.  Missing an exam because of an unexcused absence results in a grade of zero on the exam.  If you miss a class, it is your responsibility to inform me that it is excused (otherwise it is unexcused) and to find out what material was covered and the assignment.

 

Assignments:

Exercises will be assigned during most class periods.  Selected exercises will be indicated for grading.  I will only accept late exercises for excused absences. 

 

Standards for Written Work:  Assignments are expected to be in acceptable English and neatly and clearly presented; work not meeting these standards, regardless of mathematical correctness, will not receive full credit and may be returned for rewriting.  Exercises are to be done on 8 ½ x 11 paper.  My name, your name, the page numbers, problem numbers and date due are to be at the top of the paper.

TESTS:  Tests and included material are announced one week in advance.

Grading in the course is as follows:

                                                                                                                       Of the 600 total points in %

Three, 100 point exams ------------------------------300 points                      91.6 - 100 ------------------A

Selected exercises ------------------------------------100 points                     89.6 - 91.5 -----------------A-

Participation --------------------------------------------50 points                    81.6 - 89.5 -----------------B

Comprehensive Final Exam -------------------------150 points                        79.6 - 81.5 -----------------B-

                                                                               600 points                         70.6 - 79.5 -----------------C

                                                                                                                        67.6 – 70.5 -----------------C-

                                                                                                                        58.6 – 67.5 -----------------D

                                                                                                                        Below 58.6 -----------------F

 

All of the above is subject to change.