Calculus III (MATH 231) - Spring, 2008
Class periods:
10:00-10:50pm MTWF, TH317
Instructor: Mei Q.
Chen
Office: Thompson
Hall 328
E-mail: chenm
Phone: 953-7896
(office), 577-9868 (home)
URL:http://macs.citadel.edu/~chenm/231.dir/08sp.dir/syl.html
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Course Outline/Lecture Notes
Homework Assignments/Solutions
Quizzes/Solutions
Hour
Exams/Solutions
TI-89 Instructions
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Course Goals:
The students will become familiar with multi-variable arithmetic and calculus,
and learn to apply them to solve problems arising in their science or engineering
courses. This includes an understanding of the limitations of the standard
formulas and procedures, an ability to decide when and how to apply them, and
the technical skills required for their implementation.
To achieve this purpose a student will be expected the following:
- Learn to perform vector
arithmetic, particularly dot, vector and triple products, and understand
their geometric interpretations.
- Develop the ability to
envision 3-dimensional objects in order to solve linear problems in space.
- Become familiar with the use
of polar, cylindrical, and spherical coordinates. This includes the
transition between different coordinate systems and the description of
objects in the plane or in space by means of these coordinate systems.
- Learn to parameterize plane
and space curves, to recognize a curve from a given parameterization, and
to model motion problems.
- Become familiar with the
calculus of curves, including curve length and related notions.
- Understand and use the
geometric relevance of partial and total derivatives, be able to find
gradients and tangent planes for smooth surfaces.
- Learn to compute multiple
integrals by means of different coordinate systems. This includes setting
up the limits and choosing an appropriate order of integration.
- Learn how to apply multiple
integration to problems in physics or engineering.
Textbook: Calculus, Third edition,
by Robert Smith and Roland Minton
Course Content: Sections 10-14.4 will be covered and
please see the course outline/lecture notes
for details.
Grading: It is based on homework
assignments, quizzes, four hour exams and a comprehensive final exam.
- Homework Assignments: 15% of the final course grade.
Exercises will be assigned and collected for grading regularly. The
handed-in homework is required to be a piece of fine work in the
sense that it clearly states
(1) the problems, (2) your approaches, and (3)
final results.
- Quizzes: 10% of the final course grade.
One or two quizzes will be given each week and will be announced the day
before a quiz is given. The length of each quiz will be about 10 minutes.
Some of the problems on quizzes are similar to the previously assigned
homework problems and some are similar to the problems on the next hour exam.
- Hour exams: 50% of the final course grade.
Four (4) one hour exams are tentatively scheduled, respectively, for (all
on Friday)
September
19, October 9 (evening?), October 31, and November 20 (evening?).
Exams
are designed to test your understanding of the mathematical concepts and
computational procedures, and your problem solving skills for the topics
covered in this course. You may bring 3x5 cards for formulas. There should not be any examples on the
cards.
- Final exam: 25% of the final course grade.
The final exam will be comprehensive and is scheduled at 1:00pm -
4:00pm on Friday, December 12.
Grades (overall
average):
A = 90% or higher, B = 80%
- 89%, C
= 70% - 79%,
D = 60%
- 69%, F
= 59% or lower
Current Grades.
Office Hours
(1) Office Hours:
2:30-4:00pm, MTWR,
TH 328 or by appointment
(2)
ESP Study/Help Sessions
8:00pm-9:30pm MR,
TH 319
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