Math 2415: Calculus III
(The course formerly known as MTH 2154)
Spring 2001
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Grading:
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There will be 3 exams and a comprehensive final during the
term, each of which will count equally towards your grade.
In addition, there will be a series of computer assignments
that together will count as a test grade. The tests and the
computer projects together will comprise 90% of your grade.
The remaining 10% of your grade will be based on your homework
assignments.
You may earn bonus points on each test, except for the final
test, by correcting all errors and submitting them to me within
one week of receiving the graded test back. If you submit
these corrections for every test on which you make less than
a 90, then I will replace your lowest test grade with the
average of that grade and your grade on the final exam. If
you take any test late for any reason, there will be a penalty
of 10% off your test grade. However, no late tests will be
allowed after I hand the original test back in class (it could
be a few days or it could be a week or more). All tests and
assignments must be turned in on or before the last class
meeting.
Grades will be assigned as follows:
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A
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90% or better and a grade of at least 75 on the final
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D
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60% - 69%
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B
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80% - 89% and a grade of at least 65 on the final
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F
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below 60%
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C
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70% - 79% and a grade of at least 55 on the final
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W
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Withdrawn by student or instructor prior to last withdrawal
date on school calendar
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Homework:
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You should bring your homework to class every day. It will
be collected regularly and graded. There may also be in-class
assignments collected for a grade (as part of your homework
grade).
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Other Important Stuff
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Attendance:
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It is extremely important for you to attend class regularly.
Although I will not take regular attendance, I MAY drop you
from the course for excessive absences, although I make no
commitment to do so. (If you decide to stop coming, you had
best make sure that you drop the course. While I MIGHT do
this, it is YOUR responsibility. If you fail to do so, you
could receive an F on your permanent record.)
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Prerequisites:
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Please make sure you have the necessary prerequisites for
this course. That means you need a C or better in a Calculus
II (or an equivalent) course or an acceptable grade on placement
tests. If I feel you are not prepared for this course, I may
choose to withdraw you. If you have any questions about your
preparation for the course, please come and talk to me about
it.
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Keeping up:
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Please, try to keep up with the homework and with the lecture
in class. There just isn't much time to catch up. This means
you have to be sure to allow yourself plenty of time to do
the homework and to study.
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Ask questions:
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Please, please, please, if you don't understand something,
or you aren't clear about something, or if you think I (or
the book) have made a mistake (it has been known to happen),
or if you have any other questions, please ask. Don't let
confusion accumulate. If you don't want to ask in class, come
to my office hours (or call me) and ask. It is much easier
to ask a question now than to miss it on the test.
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Always show your work:
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It is much more important that you understand the processes
involved in solving problems than that you just give me the
right answer. If I see from your work that you understand
what you are doing, I will usually give partial credit for
a problem, even if you made a mistake somewhere along the
line. If you don't show your work (unless I believe you could
reasonably do it in your head), I may not give you full credit,
even if the answer is right. If you can really do something
in your head, that's great, but when in doubt, write it down.
It is also very important that you write what you mean. I
will correct your notation the first few times, but I will
start counting it wrong if you continue to write things incorrectly.
In addition, please write clearly and legibly. If I can't
read it, I won't grade it.
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Cheating:
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Don't. In fact, don't even think about it. Do your own work;
copying or helping others to copy test questions or answers
before, during, or after taking a test is cheating. Cheating
is in violation of school rules and is dishonest. Any student
found to be involved in cheating may be penalized. The nature
of the penalty is at the discretion of the instructor. A report
of the incident may be placed in the student's permanent record
and the student may also be dismissed from ACC.
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MTH 2415
- Calculus III
Information for Students**,
2000-2001
Text: Calculus, Concepts and Contexts
by Stewart, 1st edition, Brooks/Cole, 1998
Optional: Study Guide
MTH 2415-Calculus III covers material in Chapters
9, 10, 11, 12 of the text. The first two semesters of the calculus
sequence dealt with material in two-dimensional rectangular Cartesian
coordinates. A primary goal of Calculus III is to extend these ideas
to three dimensions and to other coordinate systems. Therefore,
in this course we introduce:
(i) several methods for interpreting graphs of multivariable
functions
(ii) properties of vectors
(iii) differentiation and integration of multivariable
functions
(iv) parametric equations of curves in two and three
dimensions
(v) a mathematical description of motion in space
The prerequisite for this course is satisfactory
completion (grade C or higher) of either MTH 2414, Calculus II,
at ACC or a comparable course at another institution. Such a course
should have included techniques of integration, Taylor series, and
improper integrals.
On the first day of class your instructor will distribute
written information regarding their office hours, contact information,
exams, homework, and grading policy.
To do homework and study requires two or three times
as much time outside of class as the time you spend in class in
order to succeed in this course. Math tutoring is available in the
Learning Lab. Not all the math tutors can help with courses as high
as Calculus III, so it is a good idea to check the schedule in advance.
Some lab classes are available. Check the schedule. Of course, your
instructor will also have regular office hours each week to assist
you too. So take advantage of these aids to your studies.
Should you wish to withdraw from this course at
some time during the semester, be aware that you must initiate
this procedure by going to the Registrar's Office at any ACC
campus. Do not expect the instructor to withdraw you. On the other
hand, the instructor may withdraw you for excessive absences (usually
four) or for failure to meet course objectives. The deadline for
withdrawals is listed in the calendar given in the semester schedule.
Incomplete grades (grade I) are given only in the
rarest of circumstances. To receive an incomplete the student must
have taken all exams given prior to the final three weeks of class,
be passing, and have a personal tragedy that has occurred within
the last three weeks of the semester that prevents completion of
the course. Incompletes cannot be given to allow the student to
avoid receiving an F.
**Additional information about ACC's
mathematics curriculum and faculty is available on the Internet
at <http://www.austincc.edu/math/>
The time schedule for the material in this course
will likely proceed as follows: (Tests will be approximately every
4 weeks)
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Week
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16-Week Semester
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Week |
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1
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Appendices B, G1
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9
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11.3, 11.4
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2
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G2, 9.1, 9.2
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10
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11.5, 11.6
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3
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9.3, 9.4
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11
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11.7, 11.8
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4
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9.5, 9.6
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12
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12.1, 12.2
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5
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9.7, review parametric curves
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13
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12.3, 12.4
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6
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10.1, 10.2, 10.3
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14
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12.5, 12.6
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7
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10.4, project
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15
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12.7, 12.8
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8
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11.1, 11.2
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16
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Review, Exam
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