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LaTeX cheat sheet and formula sheet template

A dense reference sheet with calculus and linear algebra formulas, tight spacing, and grouped topics. Use it as a starting point for an allowed exam sheet or a personal quick reference.

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Page 1 of the Reference Sheet template, compiled with pdfTeX
Page 1, compiled with pdfTeX. This is the actual output.

Who it's for

Optimized for density: as much as fits on a page. For readable notes with explanations, use the lecture notes template.

How to customize this template

  1. Rename the title to your course or topic.
  2. Group formulas under short bold headings. Delete the groups you don't need.
  3. Check your exam rules for page limits, then compile and review the page count before printing.
  4. Use \small or \footnotesize around a block to fit more on the page.

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The first lines of the source

\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}

\begin{document}

\begin{center}
{\Large Calculus \& Linear Algebra --- Reference Sheet}
\end{center}

\subsection*{Derivatives}
$\frac{d}{dx} x^n = n x^{n-1}$ --- power rule. \quad
$\frac{d}{dx} e^x = e^x$ --- exponential is its own derivative. \quad
$\frac{d}{dx} \ln x = \frac{1}{x}$ for $x > 0$.

\subsection*{Product \& Chain Rules}
\[
(fg)' = f'g + fg', \qquad (f \circ g)'(x) = f'(g(x)) \, g'(x).
…

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