Title: College Algebra with Applications
Instructor: Professor Joel M. Cohen
Office: MTH 2313, Telephone: (301)405-5109
Home phone: (202)546-1823.
Class Time: T-Th, 11:00 - 12:15
Location: Math 0407
Book: Contemporary Abstract Algebra, seventh
edition by Joseph Gallian
Web Program supplement: There is an useful set of software
programs that will help with some of the homework problems. It
was written for an earlier edition, but could still be useful.
http://www.d.umn.edu/~jgallian/msproject/project_head.html
.
Grader: TBA
This is the less theoretical of the two
upper-level undergraduate abstract algebra courses at the
University of Maryland. (Students planning graduate work in
mathematics should take the other course which is Math 403.)
It will cover the basics of groups, rings, integral domains and
fields. There will be a detailed study of several groups, and a
study of the properties of integers and polynomials.
Emphasis is on the origin of the mathematical ideas studied and
the logical structure of the subject.
Makeup exams will not be given.
If you have an excused absence for an exam, the grade will be
replaced by 1/2 of the final exam grade. Excused
absences will be given only with documentation and only for valid
medical reasons, University business, or appearances in
court. Excused homework will not be used in computing the
final grade. Any unexcused absences on exams or
unexcused late homework will be counted as 0, including the final
exam. Any student with a valid reason to be excused from an
exam must contact me prior to the exam, either by email or
by phone, and present documentation at the next class session
attended. If you need to be excused for a religious
observance, you should let me know as soon as possible, but
in any case no later than the end of the schedule adjustment
period.
Homework: Homework problems from the text are listed
below. Requested problems will be discussed in class.
Homework will be due each Tuesday, and will be on all the chapters
covered up to the previous Thursday.
Grading: A total of 600 points is available in the
course:
| Three hour exams (100 points, lowest counts half) | 250 | |
| Final | 200 | |
| Homework | 150 | |
| Total | 600 |
Quality: The quality of presentation of solutions will be
taken seriously in this course in the grading of tests and
quizzes.
The schedule of exams follows:
| Thursday, September 22 |
Test I |
| Thursday, October 20 |
Test II |
| Thursday, December 1 |
Test III |
| Thursday, December 15, 8:00am-10:00 am | Final |
A tentative schedule of homework follows.
| Page | Problems | |
| Chapter 0 | 21 | 1,2,3,17,25,36,39 |
| Chapter 1 | 35 | 1,2,3,13 |
| Chapter 2 | 51 | 1,2,3,4,9,16,33 |
| Chapter 3 | 65 | 1,2,3,5,10,23,29,45 |
| Chapter 4 | 79 | 1,2,3,5,13,27,38,46,57 |
| Chapter 5 | 107 | 1,3,5,8,17,18,25,36,49 |
| Chapter 6 | 126 | 1,2,7,11,24,31 |
| Chapter 7 | 142 | 2,6,10,12,17,21,28,34,43, |
| Chapter 8 | 161 | 1,2,8,15,25,38,52 |
| Chapter 9 | 185 | 1,10,12,27,32,35,37,44,48,53,54,62,67 |
| Chapter 10 | 203 | 1,6,12,13,18,26,35*,36*,42,53 |
| Chapter 11 | 217 | 1,2,3,4,6,11,15,20,30 |
| Chapter 12 | 203 | 1,2,3,4,5,6,8,10,17,18,25,39,42 |
| Chapter 13 | 242 | 2,5,17,20,24,31,42,52 |
| Chapter 14 | 269 |
4, 11, 16, 33, 39 |
| Chapter 15 | 287 |
5, 6. 17, 27, 32, 36, 44 |
| Chapter 16 | 287 | 3,11,17,27,32,42 |
| Chapter 17 | 303 | 1,3,4,14,25,32 |
| Chapter 18 | 320 | 1,7,9,13,21,34 |
| Chapter 20 | 354 | 2,7,13,27 |
| Chapter 21 | 367 | 8, 16, 24 |
| Chapter 22 | 379 | 1,7,12,25,30 |
| Chapter 23 | 387 | 1,2,3,4,7,11,13,18,20 |
* Not to hand in. Please stare at them
long enough to understand the meaning. Try to do an example.
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§ Changes in the program are possible. The Math 402 WEB PAGE (http://jcohen.me/402) will be kept up-to-date as changes are made.
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