MATH 210 Calculus III Martin Flashman
Spring, 2002 MWF 12:00 -13:10 P.M. SH128
examination will be allowed 2 hours.
Review session in LIB 56: Sunday 7-9
10:20-12:20 or self scheduled-
See Prof. Flashman. Self-Schedule
FOR REVIEWING FOR THE FINAL
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Last updated: 1/25/02
Math 210 CHECKLIST
FOR REVIEWING FOR THE FINAL M. Flashman
1. Vectors and parametric equations
a. Algebra (addition and scalar multiplications)
b. Visualizing vectors.
c. Lines and planes.
d. Dot product
e. The Cross Product.
f. Vector valued Functions
g. Derivatives: tangent vectors, velocity, speed, and acceleration.
h. Arc Length.
i. Integrals and differential equations with vectors.
2. Single valued functions of 2 or more variables.
a. Visualizing functions.
b. Limits and continuity.
c. Partial derivatives.
d. The Tangent plane to the graph, Linear approximations and
e. The chain rule(s).
f. The gradient and directional derivatives.
g. Extreme values-
Critical points and
h. Lagrange Multipliers.
3. Integration of single valued functions.
a. Double integrals and iterated integrals
i. Over rectangles.
ii. Over general compact
iii. Changing the
order of integration.
iv. Polar coordinates
in the plane.
v. Application to
joint probability distributions.
b. Triple Integrals.
i. Cartesian coordinates.
ii. Cylindrical coordinates.
iii. Spherical coordinates
OFFICE: Library 48
Hours (Tent.): MWF 3:30-4:30 TR 10:15-11:20 AND BY APPOINTMENT
Math chat: I will frequently attend my math chatroom Tuesday and Thursday
evenings at about 9:00 pm.
E-MAIL: firstname.lastname@example.org WWW: http://flashman.neocities.org/
***PREREQUISITE: Math 110 (One Year of Calculus) or permission.
TEXTS: Calculus 4th Edition by James Stewart.
SCOPE: This course will deal with the elementary theory and application
of what is often described as "calculus of several variables and vector
calculus." We will cover essentially the same topics treated by other class
of this course (Chapters 11:1-4; 13; 14:1,2,4; 15:1-7; 16:1-4,7,8) as well
as some topics that the other class may not cover. Supplementary
notes and text will be provided as appropriate.
TESTS AND ASSIGNMENTS: There will be
several tests in this course. There will be several reality check quizzes,
two self-scheduled midterm exams and a comprehensive final examination.
Homework assignments are made regularly and should be passed in on
the due date. Work is graded Acceptable/Unacceptable with problems to be
redone. Redone work should be returned for grading promptly.
Exams will be announced at least one week in advance.
THE FINAL EXAMINATION WILL BE SELF SCHEDULED.
The final exam will be comprehensive, covering the entire semester.
MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!
It is the student's responsibility to request a makeup promptly.
*** DAILY ATTENDANCE SHOULD BE A HABIT! ***
Team Activities: Every two weeks your team will be asked to submit
a summary of what we have covered in class. (No more than two sides of
a paper.) These may be organized in any way you find useful but should
not be a copy of your class notes. I will read and correct these before
returning them. Team participants will receive corrected photocopies.
Your summaries will be allowed as references at the final examination
Every week (with some exceptions) teams will submit a response to
the "problem/activity of the week."
All cooperative problem work will be graded +(5 well
for OK), -(3 acceptable), or unacceptable(1) and will be used in determining
the 60 points allocated for cooperative assignments.
The Reading Assignment: Each student is
expected to read at least 2 short notes or articles from periodicals or
the world wide web on some application of the calculus. A short report
/ synopsis of these readings and any reactions you have to them will collected
on Friday March 29th (changed 3-26-02)
and April 29th (Changed 4-19-02). On
May 6th each student will be expected to make a 5-10 minute oral
presentation based on one of these readings. You may propose an alternative
to the oral presentation.
GRADES: Final grades will be determined taking into consideration
the quality of work done in the course as evidenced primarily from the
accumulation of points from tests and graded "team" assignments.
Reality quizzes will be used to determine 100 points.[I will not use the
lowest 20% of these scores.]
The oral presentation will be graded on a honors(10 points)/credit(7 points)/no
Midterm exams will be worth 100 points each.
Your reading reports will be worth 20 points.
Homework performance will count for 60 points.
Cooperative problems of the week and summaries assignments will be worth
The final examination will be be worth either
200 or 300 points determined by the following rule:
The final grade will use the score that
maximizes the average for the term based on all possible points .
|2 Midterm Examinations
|| 60 points
|| 60 points
|Reading & Oral Presentation
|| 30 points
The total points available for the semester is 650 or 750 ponts. Notice
that only 400 or 500 of these points are from examinations, so regular
participation is essential to forming a good foundation for your grades
as well as your learning.
MORE THAN 3 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.
See the course schedule for the dates related to the following:
no drops will be allowed without "serious and compelling reasons" and a
no drops will be allowed.
Students wishing to be graded with either CR or NC should make this request
through the recording office.
See the Spring course list for a full list of relevant days.
The computer or a graphing
calculator can be used for many problems.
We will use Winplot. Winplot
is freeware and may be downloaded from
Rick Parris's website or directly from one of these links for Winplot1or
This software is small enough to fit on a 3.5" disc and can be used on
any Windows PC on campus. You can find introductions to Winplot on the
A version of X(PLORE) is available
at the bookstore for MAC based PC's along with the PC version we
may use.Windows and DOS versions of X(PLORE) are also available online...X(PLORE)
Students wishing help with any graphing
calculator should plan to bring their calculator manual with them to class.
Graphing Calculators: Though much of our work this semester will be using
the computer, graphing calculators are welcome and highly recommended.
The HP48G, HP 49 and the TI-89 and 92 are particularly useful for some
3-dimensional work though most graphing calculators will be able to do
much of this work. HP48G's will be available for students to borrow for
the term by arrangement with the Math department. Supplementary materials
will be distributed if needed. If you would like to purchase one or have
one already, let me know. Students wishing help with any graphing calculator
should plan to bring their calculator manual with them. I will try to help
you with your own technology when possible during office hours or by appointment
(not in class).
Use of Office Hours: Many
students find the third semester of calculus difficult because of weakness
in their Calculus I, II, and pre-calculus background skills and concepts.
A grade of C in Math 110 or Math 109 might indicate this kind of weakness.
Difficulties that might have been ignored or passed over in previous
courses can be a major reason for why things don't make sense now.You
may use my office hours for some additional work on these background areas
either as individuals or in small groups. My office time is also available
to discuss routine problems from homework after they have been discussed
in class and reality check quizzes as well as using technology. Representatives
from groups with questions about the Problem of the Week are also welcome.
Regular use of my time outside of class should be especially useful for
students having difficulty with the work and wishing to improve through
a steady approach to mastering skills and concepts.
Don't be shy about asking for
an appointment outside of the scheduled office hours.
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