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Math 323 - Spring 2000 |
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Syllabus |
Section: 01 - MWF 8 - 9:30
Room - S1 - 140
Instructor: Professor
Klimko
Office
Hours: MWF 10-11 am in LN-2242
(Library North)
Text: Multivariable Calculus by Stewart. Fourth Edition
Final Exam: May 16 Tue 7-9 pm AAG08
General Remarks:
Calculus III is not Calculus II plus one, it is Calculus I plus two. There is a lot of Calculus II that is not relevant to Calculus III. All of Calculus I deals with functions from the reals to the reals. That is, there is one independent variable, and one dependent variable. In Calculus III, the number of independent variables can get as high as three, and the number of dependent variables can get as high as two (but not at the same time). In later courses, all restrictions are removed.
The main points of Calculus I are revisted in this new setting. The goal is to get to the form that the Fundamental Theorem of Calculus takes with extra variables. In order to do this, you have to learn techniques for dealing with more than one variable at a time. This involves a large number of techniques and will take the entire semester.
In order to
learn these techniques well, you will have to memorize, understand and
practice. I mention “memorize” first because
many students wrongly downplay its importance in a math course, and because it
is impossible to understand something that is not firmly in your memory. At a minimum, you will have to memorize all
the statements in boxes in the text.
The text for
the course is “Multivariable Calculus: fourth edition” by James Stewart.
The syllabus
for the course is all of Chapters 13 through 17. There may be some variations in the syllabus if needed to fit
things into the time allowed.
Variations will be announced by the instructor.
There will be
a midterm covering the first half of the course given on Friday March 17th. Note that this is the day before Spring break. This is because the drop date is the Friday
of the week after Spring break.
There will be
a one hour exam covering from the beginning of the course given on Friday,
February 18.
There will be
a one hour exam covering the second half of the course given on Wednesday, May
10.
There will be
a final covering all the material in the course given on Tuesday, May 16, 7-9
PM. Check whether you have a conflict
and resolve it now.
The grading on the exams listed above will be based on the following:
90 - 100 % A 70 - 74 % C+
87 - 89 % A- 65 - 69 % C
83 - 86 % B+ 55 - 64 % C-
79 - 82 % B 50 - 54 % D
75 - 78 % B- 0 - 49 % F
There will be
a quiz given before the first test to check whether you are working at the
right level.
The final
grade will be based on the exams and quizzes with the following weights.
FINAL 40%
MIDTERM 22.5%
TEST I 15%
TEST II 15%
QUIZZE 7.5%
Homework will
be assigned and gone over in class. It
will not be collected. Homework is your
opportunity to practice. You should treat
homework as practice exams. If you do
not make and weed out all possible errors while doing your homework, you will
make all the errors in the exams. Do
not assume that you can do a problem correctly until you have done it correctly
from the beginning without help. Redo
problems that you have done wrong.
Homework
assignments will be listed on the web along with this handout at
http://www.math.binghamton.edu/gene/m323.html
There is
outside help available. My office hours
will be the hour before class. However,
if it is not possible for you to see me at those hours, then we can find some
alternative times. Just talk to me at
the end of class to set up a time. The
Math Department runs the “Calculus Help” service in room LN 2216 (second floor
of the library tower), where graduate students and undergraduates are on duty
according to the schedule posted on the door.
The hours available increase as the semester goes on, so check back periodically. The Center for Academic Excellence (CAE) in
the CIW Library provides a service like the Math Dept’s but on a more limited
basis. Finally, you may find it useful
to form a small group of classmates, and study regularly with them.
Only
scientific calculators will be allowed during exams. Graphing calcultors will NOT be allowed.
Attendance is
required, and can be used to alter course grades.
All sections
will be given the same final.
Course
schedule:
|
Week |
Sections |
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Jan 24 - Jan 28 |
13.1-3 start 13.4 |
Vectors |
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Jan 31 - Feb 4 |
13.4-6 start 13.7 |
Lines, planes and surfaces |
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Feb 7 -
Feb 11 |
13.7, 14.1-2 start 14.4 |
Vector functions, arc length and curvature |
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Feb 14 - Feb 16 |
14.4, start 15.1 |
Motions in space |
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Feb 18 - |
Exam I |
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Feb 21 - Feb 25 |
15.1-4 |
Functions of several variables |
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Feb 28 - Mar 3 |
15.5-.7 |
Chain rule, directional derivatives, max/min
problems |
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Mar 6 -
Mar 10 |
15.8, 16.1-2 |
Lagrange Multipliers, Double integrals |
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Mar 13 - Mar 15 |
16.3 |
Double integrals |
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Mar 17 - |
Midterm |
|
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Mar 20 - Mar 26 |
Spring
Break |
No Classes |
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Mar 27 - Mar 31 |
16.4-6, start 16.7 |
Double integrals and surface area |
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Mar 31 - |
Drop
Deadline |
|
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Apr 3 -
Apr 7 |
16.7-8, start 16.9 |
Triple integrals |
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Apr 10 - Apr 14 |
16.9, 17.1-2 |
Vector fields, line integrals |
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Apr 17 - Apr 19 |
17.3 |
Fundamental Theorem for line integrals |
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Apr 19 - |
Classes recess at 1 pm |
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Apr 20 - Apr 24 |
Easter
Break |
No Classes |
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Apr 26 - Apr 28 |
17.4-5 |
Green's Theorem, Curl & Divergence |
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May 1 -
May 5 |
17.6-8 |
Parametric surfaces, surface integrals, |
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May 8 - |
17.9 |
Divergence theorem |
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May 10 - |
Exam
III |
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May 16 - |
Final
Exam |
7-9 pm |