Catalog Name :
Math 20C, Calculus
& Analytic Geometry for Science and Engineering
Credits :
4 credits
(unless you have
already taken Math 10C in which case this course is
considered 2 credits)
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Prerequisites :
Math 20B with a
grade of C- or better, or
AP Calculus BC Score of 3,4
or 5
Description :
The following topics
will be covered:
- Vectors and Basic
Operations on them
- 3D Coordinate System, Lines
and Planes in 3D
- Parametric Representations
of Curves
- Vector Valued Functions
- Functions of Two Variables,
their Differentiation and Optimization
- Cylindrical and
Spherical Coordinates - will be omitted due to loss of one week because of the wildfires.
- Multiple Integrals
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Course Webpage:
http://www.math.ucsd.edu/~emengi/teaching/math20c/math20c.html
(It is your responsibility to check the webpage regularly.)
Textbook :
Calculus, Early
Transcendentals by James
Stewart - 5th Edition
The thicker version including single variable calculus is recommended.
If
you are confident about single variable calculus, the thinner
multivariable calculus should also be fine . But keep in mind that we
will generalize concepts from single variable calculus. You may need to
review some of the key concepts from single variable
calculus.
We
will cover parts of Chapters 10,12,13,14,15 from the textbook. For the
exams you are responsible from all of the sections on the course calendar.
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Grading Policy :
Your
grade will be based on your performance in five homeworks, two midterms
and the final. We will use one of the following two schemes (whichever
yields the higher score) to calculate your overall score out of 100.
- %25xMidterm 1 +
%25xMidterm 2 + %20x(Average of best 4
homeworks) + %30xFinal
- %25x(Best of Midterm 1 and
Midterm 2) + %20x(Average of best 4 homeworks)
+ %55xFinal
Remember always that this
is a curved-class . We will use curve in favor
of you. This means that if the class average is high, then we will use
the standard scale below.
D |
C |
B |
A |
60<= score <70 |
70<= score <80 |
80<= score <90 |
90<= score
<=100 |
But
more likely we will have to use a different scale so that you can get
better grades than the above scale suggests. For instance if
your
overall score is 80 but if you are in the upper %10 of the class, you
should normally receive an A.
Unless the class-average is high, what matters in the end will be your
rank in the class and your average as compared to the class-average.
Please don't get discouraged if you find an exam difficult; possibly it
was a tough exam for the majority of the class.
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Midterms :
Midterms will be held
during the lecture hours on the indicated dates on the course
calendar.
Typically there will be four or five questions in each of the midterms.
Midterm 1 will cover Sections 12.1-5, 10.1-2, 13.1-4. Midterm 2 will
cover Sections 14.1-8. Both of the midterms will be open-book exams
meaning you can bring any book and notes to the midterms.
There will be no make-up midterms; if
you have
to miss a midterm, you still have the opportunity to make it
up by
performing well in the final. |
Final :
Final
is scheduled on December 10th, 2007 from 8am to 11am. Please
make sure
that you have no other final scheduled at this time. (neither
you would
like to have multiple finals, especially three or more, on this
date.) There will be no make-up final under no circumstances.
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Homeworks :
Homeworks are due at 3pm on
the dates indicated on the course
calendar.
You will have to drop them off to the homework box reserved for our
class on the 6th floor of the APM building. Homework boxes are on the
right on the 6th floor as soon as you leave the elevator. One of the
boxes will be labeled as Math20C (Lecture C). Late homeworks
will
not
be accepted. Additionally there will be suggested questions from the
textbook, which will be solved during the discussion
sections. These questions are not going to be collected or
graded.
Their sole purpose is to get you prepared for the exams.
Please
check the homework page to
access the latest homeworks and suggested questions posted. |
Calculators :
Use
of a graphic calculator such as TI-85 or TI-86 when solving the
homeworks or suggested questions is recommended. Calculators are not
allowed during the exams. |
Lectures :
Attendance
to the class is not required. However, I believe that the most
efficient way to learn is sitting in the class. Because this gives you
the opportunity to interact in case something is not clear. Besides we
will be spending our time on the most essential concepts and skipping
some of the less important ones in your book that are likely to be
forgotten quickly. The aim of the lectures is to teach you memorable
concepts and techniques that you can apply in your careers. |
Discussion Sections :
Discussion
sections meet every Tuesday and last 50 minutes. Your TAs will
be
solving some of the homework and suggested questions. Here you
will
find more time to raise individual questions. This provides a good
opportunity to practice with your friends and knowledgable
TAs. |
Academic Dishonesty :
I
wish this does not have to be mentioned in the syllabus. Unfortunately
in the past I had incidents of academic dishonesty in my class when I
thought it was humiliating to mention at the beginning of the quarter.
I apologize for this remark here, because it is not a civilized message
and it does not concern most of you. Please realize that you are in one
of the most respected colleges in California and we expect you to
behave accordingly during the lectures and exams. In the case of any
unethical act during the lectures or exams, necessary
steps will be taken. Do you know that in one of the colleges in
California there is no proctoring during the exams? Here
is an interesting pbs article on academic dishonesty.
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