Math 3020

Algebra I

Course Outline, Fall 2002


Instructor: Sid Scull
Office: 534 Atkinson
 Office Hours:  Th 6-7 or by appointment

Phone: 736-6676
E-mail: scull@yorku.ca


Course Description:

     Algebra is the study of algebraic systems, that is, sets of elements endowed with certain operations. A familiar example is the set of integers with the operations of addition and multiplication.

     Algebra is used in almost every branch of mathematics; indeed, it has simplified the study of mathematics by indicating connections between seemingly unrelated topics. In addition the success of the methods of algebra in unraveling the structure of complicated systems has led to its use in many fields outside of mathematics such as computer science, coding theory and physics.

     One aim of this course is to help students learn to write clear and concise proofs, read the mathematical literature, and communicate mathematical ideas effectively, both orally and in writing.

     Any student who performed well in the prerequisite linear algebra course is welcome to enroll, but  this course is intended primarily for students who have taken the honours versions of first and second year courses.

Prerequisites: AS/SC/AK/MATH 2022 3.0 or AS/SC/AK/MATH 2222 3.0.

Lecture: Thursday 7-10, 3006 Vari Hall

Final grades here-

Raw scores on problem sets and tests here-

Answers to sample questions for test 2 here

Answers to term test2

Sample questions for test 3-

Answers to sample questions for test 3 here-

Answers to Feb 27 problems-

Answers to March 11 problems

Term test 3 solutions here-

Answers to March 25 problems-

Tutorial: none

Textbook: Abstract Algebra by Fraleigh

Course Grade:

The final will be calculated as follows.

Homework 15%

Term Tests (3) 45%
Final 40%

 Important information about exams:. There are NO make up exams. Missed tests will count zero, except in extreme cases such as illness. In such event, the final exam mark will be used for the missing grade.

The last date to withdraw w/o academic penalty is Feb 7. Be sure to realistically evaluate your chances of success in the course before then.

Dates for tests: October 31, January 30 (Note: the second term test has been postponed a week), March?

Homework problems will be listed below every two weeks.

Week 1  Read chapter 0. Here basic notation is established, and ideas from set theory are reviewed.  The following problems will not be collected, but will test your understanding of material used throughout the course. If you have difficulty with particular exercises, go back and reread the corresponding section.

0.1  18-23;  0.2; 1-5,11,12,16,18, 29,31, 33, 35;  0.3 1,3;  0.4 1-9, 15,17, 23,25,27,29, 35,37,39,47,48.

Problem Set1 Due October 3:  Section 1.1  6, 8, 16, 26, 36; Section 1.2  8, 10 16, 26,32

Problem Set 2 Due October 17 : Section 1.3  8. 10, 12, 26, 30; Section 1.4  8, 34, 42, 48, 52

Problem set 3(not to hand in) for Oct 24  Section 1.5 13, 17, 21, 23, 29  Section 2.2 1, 5, 7, 11, 313

Sample test questions here 3020_sample1.pdf 

 Problem set 4 Due Nov 28 Section 2.3  4, 38,39  Section 2.4  6, 14, 16, 22, 37  Section 3.2  6, 24

Problem set 5  Due Jan 23: Section 3.5:  2 (donít do all parts here, just hand in answers for G1 Gs1, Gm1, Gd1) Also work though but donít hand in problems 1, 3), 12;  Section  5.1:  16, 18, 37,  Section 5.2: 10, 12,   sec 6,1:  4, 18, 26

Problem set 6 Due February27 Section 5.3: 4, 14,  Section 5.4:  8,  Section 5.6:  10, 32

Problem set 7 Due March  13  Section 5.6 : 12, 28,  Section 6.2 : 6, 20,  Section 8.1 18

Probelem set-Not to hand in: Section 8.3: 5, 21;  Section 8.5: 5,  11;  Section 9.1  15