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Venue:
The class meets in 422 Clapp
Tuesday and Thursday from 1:15 to 2:30,
and Friday from 2:15 to 3:05.
Text:
Joseph A. Gallian,
Contemporary Abstract Algebra
,
fifth edition,
Houghton Mifflin, 2002.
Course description:
We will begin with the basics of abstract algebra
and move on to study group theory in some detail.
We will also touch on ring theory, and, if time permits,
field theory.
Depending on time availability and student interest,
we may explore applications of group theory,
such as Galois theory, coding theory, crystallographics,
and Cayley graphs and Schreier diagrams.
Homework:
There will be a problem set each week. Most of the problems will
involve proofs or multi-step calculations. Problem set solutions are
to be written in complete sentences, and will be graded for
presentation as well as correctness.
Quizzes:
There will be a ten-minute quiz each week.
Quiz problems will generally ask you to state definitions
and named theorems, or to carry out simple calculations
related to
material covered recently in class.
There will be no make-up
quizzes, but your two lowest quiz grades will be dropped.
Exams:
There will be two take-home hour exams and a final exam.
Grading:
Your course grade will be computed as follows:
| Problem Sets | 40% |
Quizzes | 20% |
Hour exams | 20% |
Final exam | 20% |
Technology:
On occasion, we will
use a calculator or computer
in class. When it is helpful to do so, you are welcome to use a
calculator or computer on the problem sets, provided you explain its
use in your write-up.
Resources:
My office hours are listed above; you are welcome to make appointments
to talk with me at other times. You may find some useful information
on the course website,
http://www.mtholyoke.edu/courses/quenell/f2002/ma311/index.html.
The honor code:
You are encouraged to collaborate on problem sets, but only as long as
the information flow goes both ways. Each student must write up
her own solutions independently. Direct copying from another
student's paper will be treated as a violation of the honor code. No
collaboration will be permitted on the
quizzes, the hour exams, or the
final exam.
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