AS/SC/AK MATH 3020.06
Algebra I
T/R 2:30-3:45 pm, Vari Hall 3009

Course director:

Dr. J. Wick Pelletier

**Revised Syllabus **





Office: N534 Ross


Telephone: 736-5250 or 736-2100 Ext. 22554




Office hours: T/Th 10:30-11:15 and by appointment



Course assistant: Hernandez Hernandez, N616 Ross

Telephone: 736-5250 or 736-2100 Ext. 20196

Office hours: Th 12:00-12:50

Prerequisite: AS/SC MATH 2022.03 or AS/SC/AK MATH 2222.03
Degree credit exclusion: AK MATH 3420.06

Textbook: A First Course in Abstract Algebra by John B. Fraleigh, 6th edition, published by Addison Wesley, 1999. NB: The 6th edition differs from the 5th edition in the order of certain topics and by the addition of some material and problems. These changes are not sufficient to warrant the purchase of the new edition if you have access to the old. However, references and assignments will be given using the new edition and it will be your responsibility to find the correspondence between the two books and to make up for any missing material.

Important dates: First term classes begin on Tuesday, September 12. The last class of the fall term will be Thursday, February 1. Second term classes begin on Tuesday, February 27, 2001. The last class of the year will be on Thursday, May 10. The spring exam period is May 12-26.

Saturday, September 23 is the last day to enrol in the course without the permission of the course director. Friday, October 20 is the last day to enrol in the course with the permission of the course director. Friday, March 30, is the last day to withdraw from the course without receiving a grade.

Syllabus: The following topics will be studied:
     Chapter 1: Groups and Subgroups
       All sections
     Chapter 2: More Groups and Cosets
       Sections 1-4
     Chapter 3: Homorphisms and Factor Groups
       Sections 1-4
     Chapter 5: Introduction to Rings and Fields
       Sections 1-6
     Chapter 6: Factor Rings and Ideals
       Sections 1-2
     [Chapter 8: Extension Fields (Time permitting)
       Section 1]

In the fall term we will study groups, starting with a review of chapter 0 and covering most of the first three chapters. In the winter term we will finish chapter 3 and then turn to the study of rings, ideals, and fields.

Goals of course: Naturally, the main goal of the course is to teach you the basic material of modern abstract algebra. However, there are two other important main goals of this course. The first is to teach you to write and recognize a mathematically correct proof of a theorem. The second is to help you to communicate your ideas, conjectures, and proofs to others.

Study Groups: Students in the course will be divided into study groups containing 4-6 students. Groups will be formed within the first few weeks of classes. Study groups will be an important element of the course, often working on and presenting problems as a unit.


Assignments: Assignments will be given on a regular basis. Some assigned problems are to be handed in; others will not be collected. You will be asked to discuss or present some of them in class. You may work on assignments with students in your study groups, but you must write up your hand-in assignments independently unless otherwise specified. Some optional, more difficult problems will also be assigned from time to time.Anyoone may attempt these problems, but I will expect A or A+ students to solve one or more such problems.

Attendance: Algebra is a subject in which each topic is a necessary preludde to those that follow it. Attendance at each class is important and will be expected.

Evaluation: The grade in the course will be calculated as follows:
     assignments and class participation (15%)
     tests (45%)
     final examination (40%).

Class tests: Dates for the class tests are:

Test 1: January 25, 2001

Test 2: March 22, 2001

Test 3: April 26, 2001

The final examination will take place in the scheduled spring exam period.

Religious Observance: York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. Should any of the dates specified in this syllabus for in-class tests pose such a conflict for you, contact me within the first three weeks of class. Similarly, should any assignments scheduled later in the term pose such a conflict, contact me immediately. Please note that to arrange an alternative date or time for an examination scheduled in the formal examination period in April/May, students must complete an Examination Accommodation Form, which can be obtained from the Registrar's Office.