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%  Spring semester, 2024, Wei-Cheng Wang.


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\noindent
{\scriptsize Calculus II, Spring 2024 
(http://www.math.nthu.edu.tw/\~\,wangwc/)} \hfill 

\noindent
{\scriptsize Thomas' Calculus Early Transcendentals 13ed} \hfill 

\begin{center}
\large
Study guide for Midterm 02
\normalsize
\end{center}

\noindent

\vspace{-.3cm}
Midterm problems include both the lecture contents and homework problems.

\begin{enumerate}

\item
Review study guide for midterm 01.
Review and correct your mistakes in midterm 01.
Pay attention to algebraic manipulation, term by term differentiation
and integration of power series,
and identifying a function from its power series expansion.
This part constitutes 15-20 extra points beyond the 100 points from Section 14.2-14.9.

\item
Review study guide for quiz 06-09 (section 14.2-14.7).
In particular, pay attention to the items listed in the study guides
but did not appear in the quizzes (due to time constraint).

% 14.8: Lagrange Multipliers.
\item 
Section 14.8: 
Review all cases for the method of the Lagrangian multipliers.
For example, extreme values of
\begin{itemize}
\item
functions of 2 variables, with 1 constraint.
\item
functions of 3 variables, with 1 constraint.
\item
functions of 3 variables, with 2 constraints.
\end{itemize}
Pay attention to number of equations and number of unknowns
in each case.

\item % 14.9: Taylor Formula for Two Variables.
Section 14.9: 
Review the derivation of Taylor's formula for functions of two
variables and its generalization to three or more variables. 
Memorize the results.

\end{enumerate}
\end{document}
