INTRO
TO DIFFERENTIAL GEOMETRY SYLLABUS
MATH
4391/6391 (PHYS 4391/6391)
SPRING
2006
CRN 16509/16511, MW 3:00 pm – 4:15 pm, Sparks
Hall 430
Instructor: Alexandra
Smirnova
Office: 702-College of Education
Phone: (404)
651-0641
E-mail: smirn@mathstat.gsu.edu
Web page: http://www.mathstat.gsu.edu/~matabs/
Office hours: MW 4:30 pm – 5:15 pm, TR 11:00 am –
11:45 am
Description: Theory
of curves and surfaces in parametric and implicit form. Curvature
and torsion of a curve. Differential forms of a surface. Topological properties of surfaces. The Shape
operator,
Textbook:
Elementary Differential Geometry, 2th
edition by Barrett O’Neill, Elsevier (
Prerequisite:
Grade of C or higher in MATH 2215.
Administrative
Drop Policy: During the first two weeks of the semester
the Department of Mathematics and Statistics checks the computer records to
determine whether or not each student has met the prerequisites for the course.
If you do not have the prerequisites, please inform your instructor and change
to another course right away. If our computer search finds that you do not have
the prerequisite, you must drop this course or you will be dropped
automatically. If you do not attend the class during the first two weeks you
will be administratively dropped.
Withdrawal:
Friday, March
3, is the last day to withdraw and receive a possible grade of W except
for hardship withdrawal. A grade of W will only be assigned to a withdrawing
student, if the student is passing at the time of withdrawal.
Procedures:
Class meets twice a week. Taking good notes during the class is of
paramount importance. Homework will be assigned in each class. After the class
read the book, read your notes and do as many of the homework problems as you
can prior to the next class. Try to get the remaining problems explained in the
beginning of the next class or during the next office hours. You are responsible for all material
covered in class, whether or not you attended this class.
Grading:
There will be a total of 530 points possible for this course. The
points are distributed as follows
|
Five quizzes |
50 = 10*5 |
|
Three exams |
270 = 90*3 |
|
Final exam |
180 |
|
Extra Credit |
30 |
Having
320 points or more BEFORE the final exam, will result in a grade of A in this course, and being
excused from the final. Otherwise you must take the final exam and
your total accumulated points will determine your final letter grade
A 450-530
B 400-449
C 350-399
D 300-349
F 0-299
Quizzes: There
will be 5 quizzes during the semester. The purpose of these quizzes is to keep you
up-to-date in the course. Usually you will have a quiz in the
end of a class. Make-up quizzes will not be given, except when special
conditions exist.
Examinations:
There will be 3 hourly exams and the final exam (two hours). All
hourly exams will be taken during the regular class time and in the regular
classroom. Books and notes will not be allowed on all tests. There will
be no make-up exams except in an extreme verifiable emergency. Absence
from the final exam will result in a grade of F for the course unless
arrangements are made PRIOR to its administration. The tests and the final for
graduate students (Math 6258/Phys 6510) will contain additional problems.
Exam
dates: February 15, March 22 and April 19. Final
Exam: Wednesday, May 3, 2:45 pm – 4:45 pm.
Academic
Dishonesty: Plagiarism and cheating are serious
offenses and may be punished by failure on the exam. Repeated cheating will
result in a grade of F for the course.
Studying:
You must work on this course every week. The pace is hectic and allowing
yourself to fall behind will end in disaster.
This course
syllabus provides a general plan for the course; deviations may be necessary.
GOOD
LUCK!