Math 2215      MULTIVARIABLE CALCULUS     Spring 2001

Objective:      Multivariable and vector differential and integral calculus, including multiple, line, and surface integrals
Prerequisite:  Math 2212 (Calculus of one variable) or equivalent

Textbook:   Calculus, One and Several Variables (8th Edition) by Salas, Hille & Etgen (Wiley 1999; ISBN 0-471-31659-8),
                    Optional  - Student Solution Manual (ISBN 0-471-32959-2)
Days & Time:  TT  1:00-2:40
Room:              403-G

Instructor:      Dr. Andrey Shilnikov
Office:            724 COE
Office hours:   TT 15:00-16:00,  and by appointment
Phone:            (404) 651.06.55
ashilnikov@cs.gsu.edu
http://www.cs.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:

540-600 points = 90%-100% = A
480-539 points = 80%-90%   = B
420-479 points = 70%-80%   = C
300-419 points = 50%-70%   = D
   Below 300 points                 = F :(

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)
 Prelim I, II and III       02/06, 03/01 and 04/05, respectively
 Final Examination        May 3, 12:30 - 2:30

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: February ?? 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.
- You must provide your own paper for the tests.

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!