Math 201: Exam I Review
Exam I will be on Thursday September 25 and it will cover sections 1.1-1.7, 2.1-2.6, 3.1, and 3.2
in the textbook. The topics covered in these sections are:
(1) Our favorite functions:
•lines
•quadratics
•polynomials
•rational functions
•trigonometric functions
•exponential functions
•logarithmic functions
(2) Rates of change: average and instantaneous
(3) Limits:
•using a calculator to approximate them
•using a graph to calculate them
•limit laws
•algebraic tricks
(4) Continuity
(5) The squeeze theorem and the infamous “Theorem 2” (section 2.6)
(6) Derivatives
•the picture of what it is (tangent lines and slope)
•the limit definition (at a point and as a function)
•the equation of a tangent line
•what it means to be differentiable
•the derivative rules from 3.2
The best way to study for the exam is to do as many problems as you can stand. Redo the
quizzes, the homework problems, the worksheets, and any or all of the recommended problems on
the website. On Wednesday before the exam class will be devoted to answering questions. So if
you have questions, bring them to class on Wednesday.
For the first part of the exam you will not be allowed to use your calculator, it will be primarily
computational. When you turn this part in you may use your calculator.
You do not need to simplify your answers. But you will need to show all of your work: you will
not receive credit if you do not show your work.
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