You are allowed one (and only one) 8.5''-by-11'' piece of paper
with anything
you wish written on both sides for use during the exam.
Alternatively, you may use three 3"-by-5" note cards.
No other notes or books are allowed at the exam.
You must have your graphing calculator with you, with angular measure set
to radian mode.
Suggested Exam Study Tactics
Look over your old homework assignments and in-class exercises. See
if you can write solutions to the exercises that caused you the most trouble
without looking at your previous solutions. If there are certain
types of problems you never figured out or still cannot do, get help from
your instructor, other students, or the tutors so that you know how to do
them when, not if , they show up on the exam. (Always
keep in mind Murphy's Law of Testing: Any test will prominently
feature precisely the types of questions you hoped it would not.)
Do a few of the suggested review problems at the end of the chapter.
Answers are in the back of your text.
For each section of the text that will be covered on the exam, write a
paragraph in your own words that describes the main ideas in the section,
why these ideas are important, and how you can use the ideas to solve problems.
Think carefully about what you want to write on your one piece of paper.
Roughly 50% of the final exam will focus on material since the last
exam, i.e., integrals, antiderivatives, and differential equations
(Chapters 5 and 6), and the rest of the exam on
the earlier sections on calculus, i.e., mainly differential calculus
and limits.
Note, however, that in order to solve some problems,
you will have to employ knowledge of both differential and integral
calculus.
The final exam will not cover Sections 1.1-1.7 explicitly, but we do expect that
you remain familiar with that material.
The final will not cover the following topics:
the delta-epsilon definition of limit
derivative formulas for cotangent, secant, and cosecant
Mean Value Theorem, Racetrack Principle, etc. (sect. 3.10)
Riemann sums with partitions of unequal length
This list is not meant to be exhaustive. In addition to material from
Chs. 5 & 6 you should definitely know
the definition of the derivative and how to compute derivatives using the
definition
how to find a tangent line
how to find derivatives using the short-cut rules including product, quotient,
and chain rules
how to solve application problems: optimization, related rates
how to solve equations-of-motion problems, particularly in the case
of constant acceleration
Suggested Review Problems for Chapters 2-6
Chapter 2
p. 97: #3, 5, 11, 15
p. 103: #3, 7 (use limit def. of f'(x)), 11, 17, 23