\magnification=\magstep1
\centerline{MATH 135, section 1 -- Calculus 1}
\centerline{Review Sheet -- Exam 2}
\centerline{October 11, 2013}
\bigskip
\noindent
{\it General Information}
\bigskip
\item{$\bullet$}  The second exam of the semester will be given
in class on Friday, October 25 (this is the Friday of the week after
October break).  
\item{$\bullet$}  We have some TI-30 scientific calculators which 
do NOT have graphing capabilities, so be prepared to answer questions without 
a graphing calculator.  (Note: Some of you may have one of these calculators
purchased for use in Chemistry courses here.  That is also OK.)
\item{$\bullet$} Use of cell phones, I-pods, and all other electronic devices
{\it is not allowed} during the exam.  Please leave such devices in your room 
or put them away in your backpack (make sure cell phones are {\it turned off}).
\bigskip
\noindent
{\it What will be covered}
\bigskip
This exam will cover all of Chapter 2, and sections 3.1, 3.2.
This includes specifically:
\medskip
\item{1.}  Limits (including one-sided and two-sided versions); calculating limits via algebraic manipulations
and the limit laws for sums, products, quotients, the ``squeeze theorem'' etc.  
\item{2.}  Continuity and properties of continuous functions
\item{3.}  How to tell $\lim_{x\to a} f(x) = \pm \infty$, what
$\lim_{x\to \pm \infty} f(x) = L$ means
\item{4.}  Derivatives via the limit definition, 
derivative functions, interpretations of $f'(a)$
as the slope of the tangent to $y = f(x)$ at $x = a$, and as the rate
of change of $f(x)$ with respect to $x$.
\item{5.}  What $f'$ says about $f$ (relation of sign of $f'$ 
to increasing or decreasing property of $f(x)$)
\item{7.}  Derivative rules for powers, exponentials, sums, constant multiples,
products, quotients.  
\bigskip
\noindent
{\it How to prepare}
\bigskip
You should go over the homework problems as well as your class notes. Many of the problems and questions we 
discuss in class are excellent examples of test questions. I have also listed some sample problems from the text 
below.  Answers can be found in the text.

We are in the process of setting up a review session with Calculus Workshop tutors
during the week before the exam.  More on this later.  
\vfill\eject
\noindent
{\it Suggested review problems}
\bigskip
\leftline{Section 1.7/9, 13, 29, 33}
\leftline{Chapter 2 Review Problems/1, 3 - 15 odds, 21, 23, 25, 27, 31, 33, 35ab,37, 39, 41, 43.}
\leftline{Section 3.1/3 - 23 odds, 43, 47}
\leftline{Section 3.2/3, 5, 7, 9, 11, 13, 35}
\bye
