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\begin{document}
\begin{itemize}
% series
\item[] True or false: If $\lim _{n\rightarrow \infty} a_n = 0$, then
  $\sum a_n$ is convergent.

\vspace{2in} \item[] This is the general form of a power series.

\vspace{2in} \item[] This test may be used to determine the convergence
of the series
\begin{displaymath}
\sum _{n=1} ^\infty \frac{n}{n^3 +1}
\end{displaymath}

\vspace{2.5in} \item[] This is the Maclaurin series for the function
\begin{displaymath}
f(x) = \frac{x^2}{1+x}
\end{displaymath}

\vspace{2in} \item[] This is the value of the sum of the series
\begin{displaymath}
1 - e + \frac{e^2}{2!} -\frac{e^3}{3!} + \frac{e^4}{4!} -\ldots
\end{displaymath}

\newpage
% lines, planes, surfaces
\vspace{2in} \item[] True or false: for any vectors $\mathbf{u}$ and
$\mathbf{v}$ in $\mathbb{R}^3$, $\mathbf{u} \times \mathbf{v} =
\mathbf{v} \times \mathbf{u}$.

\vspace{2in} \item[] This is a vector pointing from the point (8,2,7) to
(1,9,8).

\vspace{2in} \item[] This is a drawing of the plane $x+y+z = 8$ in the
first octant.

\vspace{2in} \item[] This is a drawing of the surface described by $x^2
+2z^2 =1$.

\vspace{2in} \item[] This is a drawing of the surface described by $-x^2
+y^2 -z^2 =1$.

\newpage
% max/min
\vspace{2in} \item[] If $f$ has a local maximum at the point $(a,b)$,
then this is the value of $f_x (a,b) + f_y(a,b)$.

\vspace{2in} \item[] If $f$ has an absolute maximum at $(a,b)$ and an
absolute minimum at $(c,d)$, then this word (eg. positive, negative,
zero, non-positive, non-negative) describes $f(a,b) - f(c,d)$.

\vspace{2in} \item[] True or false: If $f(x,y)$ has two local maxima,
then $f$ must have a local minimum.

\vspace{2in} \item[] These are the coordinates of the local maximum of
the function
\begin{displaymath}
f(x,y) = 3xy -x^2 y -xy^2
\end{displaymath}

\vspace{2in} \item[] This is the value of the absolute maximum of the
function
\begin{displaymath}
f(x,y) = 4xy^2 -x^2 y^2 -xy^3
\end{displaymath}
on the triangle with vertices at the origin, (0,6), and (6,0).

\newpage
% double integrals
\vspace{2in} \item[] This is an estimate of
\begin{displaymath}
\iint _{[0,3] \times [0,3]} f(x,y) dA
\end{displaymath}
where $f$ is given by the below contour map and the sample points are
upper-right corners.

\vspace{2in} \item[] This is an expression for $\iint _R f(x,y) dA$ as
an iterated integral, where $R$ is the region shown:

\vspace{2in} \item[] The volume of the solid tetrahedron with vertices
(0,0,0), (0,0,1), (0,2,0), and (2,2,0).

\vspace{2in} \item[] The volume of one of the wedges cut from the
cylinder $x^2 +9y^2 = a^2$ by the planes $z=0$ and $z=mx$.

\vspace{2in} \item[] The surface area of the intersecting cylinders $y^2
+ z^2 = 1$ and $x^2 +z^2 = 1$, shown below:

\newpage
% aggies
\vspace{2in} \item[] The difference between an Aggie and a carp is that
one is a bottom-feeding scum sucker and the other is one of these.

\vspace{2in} \item[] This is how many credit-hours an Aggie gets for
screwing in a light bulb.

\vspace{2in} \item[] The Aggie got fired from his job as a quality
control inspector at the M\&M plant because he kept throwing out all of
these.

\vspace{2.5in} \item[] The number that an Aggie can't find on the
telephone, preventing him from dialing 911 in an emergency.

\vspace{2in} \item[] This is what Aggies think Cheerios are.

\newpage
% chain rule
\vspace{2in} \item[] $dz/dt$, where $z = x^2 y + xy^2, x=2+t^4,$ and
$y=1-t^3$.

\vspace{2in} \item[] $\partial z / \partial s$, where $z = x^2 + xy
+y^2, x=s+t,$ and $y=st$.

\vspace{2in} \item[] $\partial z / \partial u$, where $z = x^2 +xy^3, x
= uv^2 + w^3,$ and $y = u+ve^w$, when $u=2,v=1,$ and $w=0$.

\vspace{2in} \item[] $\partial z / \partial x$, where $x^2 + y^2 + z^2 =
3xyz$.

\vspace{2in} \item[] The voltage $V$ in a simple electrical circuit is
slowly decreasing as the battery wears out. The resistance $R$ is
slowly increasing as the resistor heats up. Use Ohm's Law ($V = IR$)
to find this, the change in current $I$, at the moment when $R = 400
\Omega, I = 0.08 A, dV/dt = -0.01 V/s,$ and $dR/dt = 0.03 \Omega /s$.

\newpage
% directional derivatives / gradients
\vspace{2in} \item[] The direction $\mathbf{u}$ that maximizes the value
of the directional derivative $D_{\mathbf{u}} f(x,y,z)$.

\vspace{2in} \item[] The kind of vector that $\mathbf{u}$ is in the equation
\begin{displaymath}
D_{\mathbf{u}} f(x,y,z) = \triangledown f(x,y,z) \cdot \mathbf{u}
\end{displaymath}

\vspace{2in} \item[] The direction in which the electric potential $V$
changes most rapidly at $(3,4,5)$, where$V(x,y,z) = 5x^2 -3xy +xyz$.

\vspace{2.5in} \item[] The direction you would go (up or down) if you were
climbing south on a hill whose shape is given by $z = 1000 -0.01x^2 -0.02y^2$,
where the positive $x$-axis points east and the positive $y$-axis
points north, and you start at the point $(50, 80, 847)$.

\vspace{2in} \item[] The points on the hyperboloid $x^2 - y^2 +2z^2 =1$
where the normal line is parallel to the line that joins the points
(3, -1, 0) and (5,3,6).

\newpage
% triple integrals
\vspace{2in} \item[] An expression (as a triple integral) for the volume
of the wedge in the first octant that is cut from the cylinder $y^2
+z^2 = 1$ by the planes $y=x$ and $x=1$.

\vspace{2in} \item[] The volume of the solid tetrahedron with vertices
(0,0,0), (0,0,1), (0,2,0), and (2,2,0).

\vspace{2in} \item[] The iterated integral with respect to $dx dy dz$
where the original integral is
\begin{displaymath}
\int _0 ^1 \int _y ^1 \int _0 ^y f(x,y,z) dz dx dy
\end{displaymath}

\vspace{2in} \item[] The iterated integral with respect to $dx dz dy$
for the integral $\iiint _E f(x,y,z) dV$, where $E$ is bounded by
$z=0, z=y,$ and $x^2 =1-y$.

\vspace{2in} \item[] The average value of the function $f(x,y,z) =xyz$
over the cube with side length $5$ that lies in the first octant with
one vertex at the origin and edges parallel to the coordinate axes.

\newpage
% Chuck Norris
\vspace{2in} \item[] There is no theory of this; instead, there is
just a list of animals Chuck Norris allows to live.

\vspace{2in} \item[] This is the chief export of Chuck Norris.

\vspace{2in} \item[] Chuck Norris does not sleep. Instead, he does this.

\vspace{2in} \item[] It took 10 days and this many women to give birth
to Chuck Norris.

\vspace{2in} \item[] This is the number of times that Chuck Norris has
counted to infinity.

\newpage
% personal fun facts, 2pm class
\vspace{2in} \item[] This person was impaled by a bicycle handlebar and
had surgery to repair ``index finger deep'' muscle damage.

\vspace{2in} \item[] This person currently has his hair dyed blue.

\vspace{2in} \item[] This person can solve a Rubik's cube in less than
five minutes!!! (sic)

\vspace{2in} \item[] This person breaks her vegan diet every time we
have Tiff's Treats.

\vspace{2in} \item[] This person feeds almonds to squirrels on the way
to class.

\newpage
% personal fun facts, 3:30pm class
\vspace{2in} \item[] This person has a huge crush on JRD.

\vspace{2in} \item[] This person went to the beach everyday for a year
and couldn't get a tan.

\vspace{2in} \item[] This person has a sugar packet collection.

\vspace{2in} \item[] This person can do the wave with his eyebrows.

\vspace{2in} \item[] This person can wiggle her right ear, but not her
left.

\newpage
% final jeopardy
% category: hyperbolic functions
\vspace{2in} \item[] An argument showing that $\cosh x \geq 1+\frac12
x^2$ for all $x$.

\end{itemize}

\end{document}