Math 34 homework template
Author
Diana Davis
License
LaTeX Project Public License 1.3c
Abstract
Template for multivariable calculus homework, including code for common formatting.
Template for multivariable calculus homework, including code for common formatting.
% ===============================================
% MATH 34: Multivariable calculus Spring 2019
% hw_template.tex
% ===============================================
% -------------------------------------------------------------------------
% You can ignore this preamble. Go on
% down to the section that says "START HERE"
% -------------------------------------------------------------------------
\documentclass{article}
\usepackage[margin=1.5in]{geometry} % Please keep the margins at 1.5 so that there is space for grader comments.
\usepackage{amsmath,amsthm,amssymb,hyperref}
\newcommand{\R}{\mathbf{R}}
\newcommand{\Z}{\mathbf{Z}}
\newcommand{\N}{\mathbf{N}}
\newcommand{\Q}{\mathbf{Q}}
\newenvironment{theorem}[2][Theorem]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{lemma}[2][Lemma]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{claim}[2][Claim]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{problem}[2][Problem]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{proposition}[2][Proposition]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{corollary}[2][Corollary]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
\newenvironment{solution}{\begin{proof}[Solution]}{\end{proof}}
\begin{document}
\large % please keep the text at this size for ease of reading.
% ------------------------------------------ %
% START HERE %
% ------------------------------------------ %
{\Large Page 4 % Replace with appropriate page number
\hfill Math 34, Multivariable Calculus}
\begin{center}
{\Large Author's Name} % Replace "Author's Name" with your name
\end{center}
\vspace{0.05in}
% -----------------------------------------------------
% The "enumerate" environment allows for automatic problem numbering.
% To make the number for the next problem, type " \item ".
% To make sub-problems such as (a), (b), etc., use an "enumerate" within an "enumerate."
% -----------------------------------------------------
\begin{enumerate}
\item Partial derivatives.
\begin{enumerate}
\item $f_x(x,y) = x^2+y^2$.
\item $f_y(x,y) = \sin(xy)$.
\end{enumerate}
% -----------------------------------------------------
% Second problem
% -----------------------------------------------------
\item This is a problem about a double integral!
$$\int_{y=0}^{y=6} \int_{x=0}^{x=6-y} f(x,y) \ dx \ dy = 8/3.$$
or if you don't want it displayed, $\int_{y=0}^{y=6} \int_{x=0}^{x=6-y} f(x,y) \ dx \ dy = 8/3,$ or perhaps you prefer $\displaystyle \int_{y=0}^{y=6} \int_{x=0}^{x=6-y} f(x,y) \ dx \ dy = 8/3$?
\item Let's take partial derivatives a different way!
$$\frac{\partial}{\partial x} xy = y.$$
If you need a particular symbol and don't know the code for it, try \url{detexify.kirelabs.org}.
\end{enumerate}
% ---------------------------------------------------
% Anything after the \end{document} will be ignored by the typesetting.
% ----------------------------------------------------
\end{document}