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\title{Mathematics 8 -- Term Syllabus\vskip -.2in}
\author{Fall 2004 --- Based on Stewart 5$^e$}
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\begin{document}
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\begin{supertabular}
{|l
|>{\PBS\raggedright\hspace{0pt}}p{.28\textwidth}
|>{\PBS\raggedright\hspace{0pt}\parskip=5pt}p{.55\textwidth}|}
\hline
\textbf{Lecture}
&\textbf{Sections}
&\textbf{Topic}
\\ \hline

\lecture
&6.1, 6.2
& Areas between curves, volumes of revolution
\\ \hline

\lecture
&6.2
&Volumes of revolution
\\ \hline

\lecture
&8.1
&Integration by parts
\\ \hline

\lecture
&8.2
&Trigonometric Integrals
\\ \hline

\lecture
&8.3, 8.4
&Trigonometric substitution, partial fractions (simple)
\\ \hline

\lecture
&8.7
&Numerical Integration (midpoint, trapezoid, Simpson, Lagrange interpolation?)
\\ \hline

\lecture
&8.7 
&Numerical Integration (error estimates)
\\ \hline

\lecture
&8.8
&Improper Integrals
\\ \hline


\lecture
&12.1, 12.2
&Sequences, Series of constants
\\ \hline



\lecture
&12.3, 12.4
&Integral and comparison tests
\\ \hline

\lecture
&12.5, 12.6
&Alternating series, ratio test
\\ \hline

\lecture
&12.8, 12.9
&Power Series, Representations of functions as power series
\\ \hline

\lecture
&12.10 
&Taylor and Maclaurin series
\\ \hline

\lecture 
&12.10
&Taylor and Maclaurin series
\\ \hline

\lecture
&13.1, 13.2
&Coordinates and vectors in $\R^2$ and $\R^3$
\\ \hline

\lecture
&13.3, 13.4
&Dot product and cross product
\\ \hline

\lecture
&13.5
&Lines in $\R^3$
\\ \hline

\lecture
&13.5
&Equations of planes
\\ \hline

\lecture
&14.1, 14.2 
&Vector functions, space curves, derivatives and integrals
\\ \hline

\lecture
&14.3, 14.4
&Arclength, velocity, acceleration
\\ \hline

\lecture
&15.1, 15.2
&Functions of several variables, limits, continuity
\\ \hline

\lecture
&15.3
&Partial Derivatives
\\ \hline

\lecture
&15.4
&Tangent Planes and Approximation
\\ \hline

\lecture
&15.5
&Chain Rule
\\ \hline

\lecture
&15.6
&Directional Derivative
\\ \hline

\lecture
&15.6 
&Directional Derivatives and the gradient
\\ \hline

\lecture
&15.7
&Maxima and Minima
\\ \hline

\lecture
&15.7
&Maxima and Minima
\\ \hline

\lecture
&15.8
&Lagrange Multipliers?/wrap up
\\ \hline
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