Math 449 Syllabus
Course: Modern Algebra II
Term: Spring 2003
Time: T-Th 2:30-3:45pm
Location: Room STT314
Instructor: Dr. Ken Monks
Office: STT163A
Phone: (570) 941-6101
Email: monks@scranton.edu
Office Hours: T-Th 5:15-6:00, 7:15-7:45 and by appointment or email
[Note: Office
hours may be held in either STT314 or STT163A. Check both locations.]
Required Textbooks: Hungerford, T.; Abstract Algebra, 2nd edition,
Saunders College Publishing ISBN:0-03-010559-5
Course Prerequisites: Math 448 (Modern Algebra I) or equivalent
Course Objective: To provide the student with an understanding of the major
topics of modern algebra beyond those covered in Modern Algebra I. This will accomplished
primarily by covering the sections of the book listed below along with any supplementary
material provided by the instructor. Students should strive to obtain a mastery of
the subject matter by 1) developing both the technical skill necessary to solve problems
and 2) demonstrating a deeper understanding of the underlying theory by learning and writing
proofs. The assignments will attempt to ascertain if each of these objectives have
been met.
Attendance Policy: Class attendance is highly
encouraged but not required.
Should you miss a class for any reason, you are still responsible for all announcements
made and all material presented during that class.
Email and the Web: All students in this course are required to have a
university email account and are expected to check their email frequently for
announcements and other information I may send to you. I will use email and the internet
quite extensively in the course. If you
prefer to check your home email instead of your university email you can forward
your university email to your home account by following these
instructions. I will not change your email address in my email address book
from its default university account so you must either read your university
email or forward it to your home account. Each student is also expected to be
able to access any information that I post on the world wide web which is related to your
course. You may access this information from the mathematics department computer lab in
STT161. Contact the Help Desk in the computer center if you need assistance.
Homework: I will post your homework assignments
here.
Due to the large volume of homework I assign and the large number of students in
all of my various courses, I must insist that all written assignments satisfy the following
criteria:
- All homework must be done on 8.5"x11"
paper. The paper must have straight smooth edges, not the
jagged edges that are obtained when paper is removed from a "spiral
bound" notebook. The paper should not be folded.
- All homework that consists of more than
a single sheet of paper must be stapled in the upper left hand corner.
Corners should not be folded or "dog eared".
- All homework must have the
following information written legibly in the upper right hand corner
of the first page:
- Name
- Course number and meeting time
(Math 449 - 2:30)
- Assignment number (this is
the assignment number given on the assignment
sheet, not the number of
assignments you handed in).
- All individual problems should be
clearly labeled.
- Proofs must have only one statement per
line (not word-wrapped paragraph form).
- Problems must occur in the assignment in
the same order that they are assigned, e.g. problem #3 must appear before
problem #4 which must appear before problem #7, etc.
Thus, the first page of every homework
assignment should look like this:
Any homework that does
not conform to the above format will be discarded!
The homework that you hand in may not be
returned to you until the end of the semester, so if you want to keep a copy for
yourself you should make a photocopy before handing it in. If you are handing in
more than one Assignment number on a single day, each assignment must be stapled
and labeled separately! Failure to follow these procedures will result in
you not getting credit for all of your assignments.
Late Assignments: Don't even think about it. I have yet to accept one and
don't want to spoil my record. You will receive no credit for late
assignments. I also will not accept EARLY assignments. Assignments must be
handed in, in class, on the day they are due, during the first ten minutes of class. There
are NO exceptions. You may not place a homework assignment under my office door or
hand it to me in the halls or mail it to me or have an uncle deliver it to my house.
Missed assignments: In order to allow for sickness, bad days, other exams, scheduling
conflicts, etc. I will compute the average number of problems graded in each
assignment at the end of the term and drop this number of points from the total
possible points when computing your homework average (this is similar to "dropping" one homework assignment for
everyone).
Cheating: All assignments can be done in collaboration with others but must be
written up individually unless you are specifically told otherwise. In other words you can
help each other figure things out and discuss the relevant mathematics, but the actual write-ups that you hand in must be
entirely your own. Simply changing the variable names or making other cosmetic
changes on your friend's assignment is not allowed. In cases where the solution to a
homework problem is in the back of the book you may not simply copy
that solution, but should write your own solution in your own words and symbols, even if
you need to look at the solution to see how it is done. Any acts of cheating which come to
my attention will be dealt with in the most severe manner possible under University
guidelines. Plus I will be really upset.
Grading: There will be no exams and no final exam unless I determine that
it is in the best interests of your education to have them. However there will be a
lot of
homework. For each assignment I will grade zero or more problems which are
randomly selected by Maple.
Which problems are graded will not be announced before you hand in the homework
assignment. Each part of each graded homework problem will be worth 100 points
awarded as follows:
Points awarded |
Awarded if: |
143 |
Your response is complete and correct. |
43 |
Your response was not handed in at all. |
33 |
Your response is either incomplete or
incorrect. |
NG |
This problem was not graded. The null string also counts as NG. |
There will be no partial credit for any solution, especially on proofs. Thus you should
strive to get as many problems entirely correct as possible rather than wasting your time
trying to get partial credit on a lot of problems but have them all be wrong.
At the end of the term I will compute your grade as follows:
Let x be a student.
Let p(x) be the total number of points earned by x.
Let T be the total number of problems that were graded times 100.
Let A be the average number of problems graded per assignment times 100.
Let G(x) be the student's final grade.
Then G(x) is computed by:
G(x) = p(x)/(T-A)
and this number is converted to a letter grade in accordance with the following table:
Conversion between numeric and letter grades
If your numeric grade
is greater than or equal to.. |
Your letter grade
will be at least a... |
93 |
A |
89 |
A- |
85 |
B+ |
82 |
B |
78 |
B- |
74 |
C+ |
70 |
C |
67 |
C- |
63 |
D+ |
60 |
D |
0 |
F |
Remember that the best way to learn mathematics by doing it yourself.
I hear and I forget.
I see and I remember.
I do and I understand
- Chinese Proverb
Schedule: We will attempt to follow the schedule below. This schedule is
not cast in stone. We will adjust the pace of the course as we proceed. Thus you
should use this schedule as a crude reference of roughly what we ought to be doing in the
course.
Proposed Course Schedule
Class |
Date |
Day |
Activity |
1 |
Jan 28 |
Tue |
Intro |
2 |
30 |
Thu |
Chapter 8.1 |
3 |
Feb 4 |
Tue |
Chapter 8.2 |
4 |
6 |
Thu |
Chapter 8.3 |
5 |
11 |
Tue |
Chapter 8.4 |
6 |
13 |
Thu |
Chapter 8.4 |
7 |
18 |
Tue |
Chapter 8.5 |
8 |
20 |
Thu |
Chapter 9.1 |
9 |
25 |
Tue |
Chapter 9.2 |
10 |
27 |
Thu |
Chapter 9.3 |
11 |
Mar 4 |
Tue |
Chapter 9.4 |
12 |
6 |
Thu |
Chapter 9.5 |
- |
- |
|
Spring Break! |
13 |
18 |
Tue |
Chapter 10.1 |
14 |
20 |
Thu |
Chapter 10.2 |
15 |
25 |
Tue |
Chapter 10.3 |
16 |
27 |
Thu |
Chapter 10.4 |
17 |
Apr 1 |
Tue |
Chapter 10.5 |
18 |
3 |
Thu |
Chapter 10.6 |
19 |
8 |
Tue |
Chapter 11.1 |
20 |
10 |
Thu |
Chapter 11.2 |
21 |
15 |
Tue |
Chapter 11.3 |
22 |
22 |
Thu |
Other Topics |
23 |
24 |
Tue |
Other Topics |
24 |
29 |
Thu |
Other Topics |
25 |
May 1 |
Tue |
Other Topics |
26 |
6 |
Thu |
Other Topics |
27 |
8 |
Tue |
Other Topics |
Adaptability: I retain the right to modify or change any of the policies stated
in this syllabus during the term if I feel it is in the best interests of the students and
the course. That includes the right to give you a exams if I feel you will benefit from it
or if your performance on the homework is not satisfactory, and also the right to give
letter grades which are not consistent with the numerical grades computed above in extreme
cases.
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