Math229/Calculus III Test Study Guide-Spring 1999
-----Test # 1------
First Test:Friday, February 19, 1999
Return to Math229 Study Guides Menu
....General Information About The Exam....
The test will be worth 80 points and will constitute
between 22% & 25% of the total number of points
for the course.
You will have 1hr and 20min to work on the test.
All of your work must be placed in the "Blue Book(s)"
that will be provided for you.
The answers in the Blue Book(s) must appear in the same order
as they appear on the test sheet, and so you will need to
plan ahead and leave necessary space if you intend to
work the problems out of order.
Your answers will be graded on the basis of correctness,
completeness, and neatness.
The best philosophy you can have during the exam is to
leave as little to the imagination as is possible. The basic
rule is that you write down only things that are true and
give reasons as to why they are true.
The point value of each question will be noted for each
question. Take this into consideration while managing
your time during the exam. Don't spend 50% of your time
during the examination answering questions that count
for only 20% of the total points.
Partial credit will be awarded and so you should try to do
some work on as many questions as you can. More weight will
be placed on your ability to demonstrate a correct process
that may be followed to arrive at the correct answer than
the final answer itself. Therefore, a correct final answer
with no supporting work will receive little to no credit,
and a correct process that contains some minor error(s)
that caused an incorrect final answer will receive up to
100% of the full credit, depending on the extent of the
error(s).
Do not feel bad if you are unable to finish the exam.
Letter grade assignment for the test will be based
on a curve with cut-offs less than or equal to straight
percentage, and so it is possible to earn a good grade
without completing the answers to all of the questions.
Talk to your friends after the exam. The amount of work
that others were able to complete will be a good
indicator of your situation.
....Specific Information About The Exam....
The test will include only course material covered up to
and including Tuesday, February 16, 1999.
Assigned homework problems will form the foundation for many
of the test questions. Some exam will either be taken directly
from the homework or be very similar to homework problems.
Other test questions will either be drawn from class notes
or directly from the text.
The best preparation for the exam is to practice working
problems and read over your class notes for understanding.
Remember that the more problems you work and the more
you study your notes, the better prepared you will be for
the exam. You are encouraged to attempt even more problems
than were placed on the Assignment Web Page.
In addition to all assigned problems that are listed
on the assignment web page (or problems similar to them)
the following specific topics should be studied:
1. If x=f(t) and y=g(t), know by memory that
dy/dx= (dy/dt)/(dx/dt) if dx/dt ^= 0
2 2
and d y/d x = ( d(dy/dx)/dt ) / dx/dt
2. Know by memory that x = rcos(theta)
y = rsin(theta)
2 2 2
x + y = r
y/x = tan (theta)
3. Know by memory (dr/dtheta)sin(theta) + rcos(theta)
dy/dx = -----------------------------------
(dr/dtheta)cos(theta) - rsin(theta)
4. Know by memory the definmition of a sequence
5. Know by memory the definition of the limit of a sequence
6. Know by memory the Archimedian Property
7. Be able to prove using the Archimedian Property that Lim 1/n = 0
8. Know by memory the Completeness Axiom
9. Be able to prove that any bounded and monotonic increasing
sequence converges using the Completeness Axiom
10. Know by memory the definition of a series
11. Know by memory the definition of a convergent series
12. Be able to prove that if the series Ea converges then Lim a = 0
n n
(Note: the "E" above is supposed to be a Sigma)
Special Note: FOR THIS TEST SCIENTIFIC CALCULATORS WILL BE ALLOWED
BUT GRAPHING CALCULATORS WILL NOT BE ALLOWED
(last updated 3:30PM on 2-11-99)