AS/SC/AK MATH 3020.06

Algebra I
M 6-9 pm, Vari Hall 3006



 
Course director: Dr. J. Wick Pelletier   
Assignments
Office: N534 Ross   
Telephone: 736-5250 or 736-2100 Ext. 22554   
E-mail: jwpell@yorku.ca   
Office hours: M 2-4 and by appointment   

 

Course assistant: Geanina Tudose, N611 Ross

Telephone: 736-5250 or 736-2100 Ext. 22563

Office hours: M 5-5:50
 

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.

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.

Important dates: First term classes begin on Monday, September 13. There will be no classes on September 20 (Yom Kippur) and October 11(Thanksgiving Day). The last class of the fall term will be December 6. Second term classes begin on Monday, January 3, 2000. There will be no class February 14 (Reading Week). The last class of the year will be on March 27.

Saturday, September 18, is the last day to enrol in the course without the permission of the course director. Friday, October 15, is the last day to enrol in the course with the permission of the course director. Friday, February 11, is the last day to withdraw from the course without receiving a grade.

Study Groups: Students in the course will be divided into study groups containing 3-6 students. Groups will be formed within the first few weeks of classes.

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

Tentative dates for the class tests are:
     Test 1: November 15
     Test 2: January 24
     Test 3: March 13

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

Assignments will be given on a regular basis. Some assigned problems are to be handed in; others will not be collected, but 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. There will be an emphasis on learning how to communicate your results to others. Attendance at each class is important.

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.