Math 2215 MULTIVARIABLE CALCULUS
Autumn 2003
Objective: Multivariable and vector
differential and integral calculus, including multiple, line, and surface
integrals
Prerequisite: Math 2211and 2112 (Calculus of one variable)
or equivalent
Textbook: Calculus, One and Several Variables (9th
Edition) by Salas, Hille & Etgen
Days & Time: MW 17:30-19:10
Room:
403-G
Instructor: Dr. Andrey Shilnikov
Office:
724 COE
Office hours: MW
14:00-15:00,
and by appointment
Phone:
(404) 651.06.55
E-mail: shilnikov@mathstat.gsu.edu
http://www.mathstat.gsu.edu/~matals
General Outline of Content (tentative)
Chapter 12 Vectors; Sections 1-7
Chapter 13 Vector Calculus; Sections 1-5
Chapter 14 Functions of Several Variables; Section
1-6
Chapter 15 Gradients and Extremes; Sections 1-9
Chapter 16 Double and Triple Integrals; Sections
1-10
Chapter 17 Line Integrals; Sections 1-2
Tests and Grading
Grades will be determined on the basis of 3 class prelims (100 points
each), the final exam (200 pts), and homework (100 pts) The
final grade will be awarded as follows:90%-100% = A ; 80%-90%
= B; 70%-80% = C; 50%-70% = D; Below
300 points = F 8-(
I will then go over each person's work individually
and modify (curve) the tentative grades slightly, taking into account
factors that are hard to quantify (improvement, an outstanding final exam,...).
There is no pre-ordained median for this course. It could be higher or
lower in any given year, depending on how the class does. For example,
I would not hesitate to give 90% of the class an A if they earned it.
Exam dates (tentative and subject to change)
Tests I, II and III Sep 22, Oct 20,
Nov 19
Final Examination Dec 15, at 17:00
Please check the prelim dates in your other courses and let me know as
soon as possible if there are conflicts. The usual solution in such cases
is to give the exam early or late on the scheduled day. NOTE
Ocrober 17 is the last day to withdraw from the class without receiving
an automatic “WF”. Conditions under which an incomplete “I” is given can
be found in the 2001 General Catalog.
Make-up Policy
NO make-up exams or quizzes will be given. A missed exam may be made up
only in the event of a verifiable, unavoidable absence (e.q., a doctor’s
note is necessary if illness is an excuse). Failure to take the final
exam will result in a grade of “F” for the course.
Attendance Policy
A sign-in sheet will be passed around each class day, except on test days.
Please, sign each one in the same way. A student is considered present
only if he/she has arrived on time and remains until the class is dismissed.
Coming to class late or leaving early is disruptive and thus discouraged.
The instructor may drop a student from the roll for exceeding four class
absences. Students are responsible for all material covered in the book
and in class. Those who have excellent attendance but are on a grade borderline
will get extra consideration at the end of the class.
Homework
There will be exercises assigned to help you learn the material of the
course. They will be assigned in lecture on Wednesday and collected on
the following Wednesday. The homework is the most important part of the
course. No matter how well you think you understand the material presented
in class, you won't really learn it until you do the problems. Late homework
will not be accepted except in very unusual circumstances. We will, however,
drop the lowest homework and quiz grade. You are free to devise whatever
strategy for learning the material suits you best. This may involve collaboration
with other students. We believe, however, that most people will get the
maximum benefit from the homework if they try hard to do all the problems
themselves before consulting others. In any case, whatever you turn in
should represent your own solution, expressed in your own words, even
if this solution was arrived at with help from someone else. Remember,
you are doing the homework in order to learn the material; don't try to
defeat the purpose of it. Do not get behind your work. As a guide, consider
spending 2 hours of your time studying for each hour of class time. On
a test you must be able to work the problems within the period of
time allowed. Therefore, it is recommended, as part of your preparation
for each test , that you select 8 to 10 problems and try to work them
within a period of one hour. The quizzes will consist of 3-4 problems
usually selected from the problems assigned as homework.
A few test rules
- You will not be able to use your notes or textbook on all tests. No
calculators.
- An answer alone will not suffice the credit. You must explain how you
arrived at your answer. - Write legibly.
Cheating/Plagiarism
All work submitted for grading must be your own. A first occurrence
of cheating/plagiarism will result in a grade of “O” for all concerned
parties, as well as a form indicating academic dishonesty will be filed
with the Dean of Students. A second occurrence will result in a grade
of “F” for the course for the concerned parties, with a transcript.
Good luck and enjoy the class!
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