LaTeX homework template

A LaTeX homework template for the problem sets and exercise sheets a math or science course hands out.

Engine: pdfLaTeX
License: Public domain, use freely.

Open in LaTeX.to Download all files (zip)

Files:

main.tex

\documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}

\theoremstyle{definition}
\newtheorem{problem}{Problem}
\newenvironment{solution}{\begin{proof}[Solution]}{\end{proof}}

\title{Problem Set 1}
\author{Your Name}
\date{\today}

\begin{document}
\maketitle

\begin{problem}
Show that the sum of the first $n$ positive integers is $\frac{n(n+1)}{2}$.
\end{problem}

\begin{solution}
Pairing the first and last terms gives $n/2$ pairs, each summing to $n+1$, so
\[
  \sum_{k=1}^{n} k = \frac{n(n+1)}{2} .
\]
\end{solution}

\begin{problem}
Prove that $\sqrt{2}$ is irrational.
\end{problem}

\begin{solution}
Suppose $\sqrt{2} = p/q$ in lowest terms. Then $p^2 = 2q^2$, so $p$ is even;
writing $p = 2r$ gives $q^2 = 2r^2$, so $q$ is even too, contradicting the
assumption that $p/q$ was in lowest terms.
\end{solution}

\end{document}

How to use this template

Everything runs in your browser: nothing to install, no login, no compile timeout.

Click Open in LaTeX.to. The template opens as a project in the Projects pane, with main.tex in the editor and its finished PDF in the preview.
Click Preview, or press Ctrl+Enter (Cmd+Enter on a Mac), to compile. The preview shows the new PDF; you do not need to save first.
If the compile fails, the Console pane opens with the LaTeX log. The first error in it says what went wrong and on which line.
To add an image, a .bib file or another .tex file, open the project's menu (the three dots next to its name in the Projects pane) and choose Upload file or New file.
The arrow next to Preview has Download PDF. Ctrl+S saves your edits, and the project stays in your browser on this device.

How to add a problem

Problems number themselves in the order they appear in the file.

Copy a block from \begin{problem} to \end{solution} and paste it below the last one.
Write the question between \begin{problem} and \end{problem} and your answer between \begin{solution} and \end{solution}.
Change \title{Problem Set 1} at the top for each new set.

How to start from a different number

A problem set often picks exercises from a textbook, and the numbers should match it.

Put \setcounter{problem}{4} just before the first \begin{problem} to make it Problem 5.
Put another \setcounter{problem}{...} before any problem that skips ahead; the ones after it follow on.

More templates: Cheat sheet, Lab report, Report and all templates.