INSTRUCTOR:
**Professor John Beachy**,
Watson 355, 753-6753

OFFICE HOURS: MWF 11:00-12:00, or by appointment.

My faculty homepage | My personal homepage

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Review for the Final
*

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The Final Exam is scheduled for
Wednesday, May 7, 8:00-9:50 a.m.,
in DU 348
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There will be a review session at noon on Tuesday, May 6,
in DU 252.
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COURSE DESCRIPTION:
**Algebra I** (3).
Introduction to group theory.
Properties of the integers, functions, and equivalence relations.
A concrete approach to cyclic groups and permutation groups;
isomorphisms and the theorems of Lagrange and Cayley.

TEXT:
**Abstract Algebra**, *2nd Ed*,
by John Beachy and William Blair

**OnLine Study Guide**
for the text

SYLLABUS: Chapter One, Integers; Chapter Two, Functions; Chapter Three, Groups | Handout

COURSE OBJECTIVES: The student is expected to acquire an understanding of the elementary theory of groups, together with the necessary number theoretic prerequisites. There will be some discussion of the computational aspects of these topics, but the main thrust of the course will be theoretical. The student will be expected not only to follow the proofs presented in class and in the text, but also to learn to construct new proofs. Proofs must be logically correct and care must be taken to write them precisely and in grammatically correct English.

COURSE PREREQUISITE: MATH 240, Linear Algebra. We will use matrices in some important examples, but the main reason for the requirement is to attempt to guarantee a certain level of "mathematical maturity."

GRADING:
Final grades will be based on 600 points:
3 hour tests (300), homework (100),
and a comprehensive final exam (200).

The homework problems are extremely important.
In many ways the course is like an English composition
course, since it requires you to write out very carefully
the reasons for each step in your solutions of problems.

Note that the last day to withdraw from the course without
penalty is Friday, March 7.

FINAL: The final exam is scheduled for Wednesday, May 7, 8:00-9:50 a.m.

HANDOUTS: Review of groups for Exam 3 | Homework 10 | Homework 11 Solutions

ASSIGNMENTS:

Wednesday, 4/30 Assessment 3.5, p 125: #2, 3, 7, 11 Friday, 4/25/03: EXAM III Sections 3.1 - 3.4 Wednesday, 4/23: Hmwk #12 3.4, p 118: #2, 8, 9, 14 Friday, 4/18/03: Hmwk #11 3.3, p 110: #1, 4, 8, 12 - 14 Friday, 4/4/03: Hmwk #10 3.1, p 90: #13, 19, 20 3.2, p 101: #6, 9, 14 Two additional problems Friday, 3/28/03: EXAM II Sections 2.1 - 2.3, 3.1 Hmwk #9 3.1, p 90: #4, 6, 8, 9. 11 Hmwk #8 2.3, p 75: #1bdf, 4, 5bd, 10 - 12 Friday, 3/7/03: Hmwk #7 2.2, p 62: #2, 4, 7, 10 Friday, 2/29/03: Hmwk #6 1.4, p 40: #7 - 10; 2.1, p 55: #10, 14, 15, 17 Monday, 2/24/03: Hmwk #5 2.1, p 54: #1bc, 3bc; 2abc, 4abc; 8ce Friday, 2/14/03: EXAM I Sections 1.1 - 1.4 Friday, 2/07/03: Hmwk #4 1.3, p 30: #4, 7, 13, 18, 22, 25 Monday, 2/03/03: Corrections on Hmwk #1 and 2 Friday, 1/31/02: Hmwk #3 1.2, p 22: #6, 12, 17, 22 Monday, 1/27/03: Hmwk #2 1.1, p 14: #4ce, 11, 17, 18 Friday, 1/17/03: Hmwk #1 1.1, p 14: #2, 9, 10

SCHEDULE OF LECTURES:

MONDAY WEDNESDAY FRIDAY M Tu W Th F Week of JAN 2003 1/13 1.1 1.1 1.1 13 14 15 16 17 1/20 HOLIDAY 1.2 1.2 20 21 22 23 24 1/27 1.2 1.3 1.3 27 28 29 30 31 2/03 1.3 1.4 1.4 FEB 3 4 5 6 7 2/10 1.4 2.1 TEST I 10 11 12 13 14 2/17 2.1 2.1 2.2 17 18 19 20 21 2/24 2.2 2.2 2.3 24 25 26 27 28 3/03 2.3 2.3 3.1 MAR 3 4 5 6 7 SPRING BREAK 10 11 12 13 14 3/17 3.1 3.1 3.2 17 18 19 20 21 3/24 3.2 3.2 TEST II 24 25 26 27 28 3/31 3.3 3.3 3.3 APR 31 1 2 3 4 4/07 3.4 3.4 3.4 7 8 9 10 11 4/14 3.5 3.5 3.5 14 15 16 17 18 4/21 3.5 TEST III 3.6 21 22 23 24 25 4/28 3.6 3.6 READING DAY MAY 28 29 30 1 2 5/05 FINAL 5 6 7 8 9 FINAL EXAM Wednesday 5/7/2003 8:00-9:50 a.m.