LaTeX Quick Reference

Level: Beginner to Advanced Prerequisites: Basic text editing, command-line familiarity

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Overview

This comprehensive learning plan covers LaTeX document preparation system, from basic document structure to advanced mathematical typesetting, presentations, and publication-quality graphics.

What You'll Learn: - Document structure and formatting - Mathematical typesetting (equations, symbols, matrices) - Tables, figures, and cross-references - Bibliography management (BibTeX, biblatex) - Presentation slides (Beamer) - Graphics and diagrams (TikZ, PGFPlots) - Custom packages and macros - Collaborative workflows (Overleaf, Git)

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Week 1-2: LaTeX Fundamentals

Module 1: Getting Started

Topics: - Installing LaTeX (TeX Live, MiKTeX, MacTeX) - LaTeX editors (TeXstudio, Overleaf, VS Code with LaTeX Workshop) - Basic document structure - Compilation process (pdflatex, xelatex, lualatex)

Basic Document Structure:

\documentclass[12pt,a4paper]{article}

% Preamble - packages and settings
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{amsmath}
\usepackage{graphicx}

\title{My First LaTeX Document}
\author{Your Name}
\date{\today}

\begin{document}

\maketitle

\section{Introduction}
This is a paragraph of text. LaTeX handles line breaking
and justification automatically.

\section{Main Content}
LaTeX uses markup commands like \textbf{bold} and
\textit{italic} for formatting.

\end{document}

Hands-On Practice: 1. Install LaTeX distribution on your system 2. Create a simple CV or résumé 3. Compile using different engines (pdflatex vs xelatex) 4. Experiment with document classes (article, report, book)

Module 2: Text Formatting and Structure

Topics: - Sections, chapters, paragraphs - Lists (itemize, enumerate, description) - Fonts and text styles - Special characters and symbols - Page layout and margins

Document Hierarchy:

\documentclass{report}

\begin{document}

\chapter{First Chapter}

\section{Introduction}
Section text here.

\subsection{Background}
Subsection content.

\subsubsection{Details}
Even deeper structure.

\paragraph{Small Heading} Inline paragraph heading.

\end{document}

Lists and Formatting:

% Unordered list
\begin{itemize}
\item First item
\item Second item
\begin{itemize}
\item Nested item
\end{itemize}
\end{itemize}

% Numbered list
\begin{enumerate}
\item First step
\item Second step
\item Third step
\end{enumerate}

% Description list
\begin{description}
\item[Term 1] Definition of first term
\item[Term 2] Definition of second term
\end{description}

% Text styles
\textbf{Bold text}, \textit{Italic text},
\underline{Underlined}, \texttt{Monospace},
\textsc{Small Caps}

Hands-On Practice: 1. Create a technical report with chapters and sections 2. Format a glossary using description lists 3. Create a multi-level outline 4. Experiment with custom fonts (fontspec package with xelatex)

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Week 3-4: Mathematical Typesetting

Module 3: Math Mode Basics

Topics: - Inline vs display math - Basic operators and symbols - Fractions, roots, exponents - Greek letters and mathematical symbols

Math Modes:

% Inline math (within text)
The equation $E = mc^2$ is Einstein's famous formula.

% Display math (centered, numbered)
\begin{equation}
\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}
\end{equation}

% Display math (unnumbered)
\[
f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}
\]

Common Mathematical Constructs:

% Fractions
\frac{numerator}{denominator}
\frac{a + b}{c - d}

% Roots
\sqrt{x}
\sqrt[n]{x}

% Exponents and subscripts
x^2, x^{n+1}, x_i, x_{i,j}

% Greek letters
\alpha, \beta, \gamma, \Delta, \Omega

% Operators
\sum_{i=1}^{n} x_i
\int_{a}^{b} f(x) \, dx
\lim_{x \to \infty} f(x)
\prod_{i=1}^{n} x_i

Hands-On Practice: 1. Typeset 10 equations from your field (physics, statistics, etc.) 2. Create a formula sheet with aligned equations 3. Write a mathematical proof with numbered equations 4. Reproduce equations from a published paper

Module 4: Advanced Math (amsmath, amssymb)

Topics: - Matrices and arrays - Multi-line equations (align, gather, split) - Theorem environments - Custom operators and commands

Matrices:

\usepackage{amsmath}

% Matrix
\[
A = \begin{pmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33}
\end{pmatrix}
\]

% Determinant
\[
\begin{vmatrix}
1 & 2 \\
3 & 4
\end{vmatrix}
\]

% Bmatrix (square brackets)
\[
\begin{bmatrix}
1 & 0 \\
0 & 1
\end{bmatrix}
\]

Aligned Equations:

% Multiple aligned equations
\begin{align}
f(x) &= x^2 + 2x + 1 \\
&= (x + 1)^2 \\
&= (x + 1)(x + 1)
\end{align}

% Cases (piecewise functions)
\[
f(x) = \begin{cases}
x^2 & \text{if } x \geq 0 \\
-x^2 & \text{if } x < 0
\end{cases}
\]

Theorem Environments:

\usepackage{amsthm}

\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{definition}{Definition}[section]

\begin{theorem}[Pythagorean Theorem]
In a right triangle, $a^2 + b^2 = c^2$.
\end{theorem}

\begin{proof}
Proof content here.
\end{proof}

Hands-On Practice: 1. Create a linear algebra cheat sheet with matrix operations 2. Write a mathematical proof document with theorems and lemmas 3. Typeset a system of equations with solution steps 4. Create a probability distribution reference

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Week 5: Tables, Figures, and Cross-References

Module 5: Tables and Tabular Data

Topics: - Basic tables (tabular environment) - Professional tables (booktabs package) - Multi-page tables (longtable) - Column formatting and alignment

Basic Table:

\begin{table}[h]
\centering
\caption{Sample Data}
\label{tab:sample}
\begin{tabular}{lcc}
\hline
Item & Value 1 & Value 2 \\
\hline
A & 10 & 20 \\
B & 15 & 25 \\
C & 30 & 40 \\
\hline
\end{tabular}
\end{table}

Professional Table (booktabs):

\usepackage{booktabs}

\begin{table}[h]
\centering
\caption{Performance Metrics}
\label{tab:metrics}
\begin{tabular}{lrrr}
\toprule
Method & Accuracy & Precision & Recall \\
\midrule
Method A & 0.92 & 0.89 & 0.91 \\
Method B & 0.95 & 0.93 & 0.94 \\
Method C & 0.88 & 0.85 & 0.87 \\
\bottomrule
\end{tabular}
\end{table}

Hands-On Practice: 1. Create a comparison table for 3 technologies 2. Format a financial report with aligned numbers 3. Build a multi-page table with longtable 4. Create a wide table with landscape orientation

Module 6: Figures and Graphics

Topics: - Including external images (graphicx) - Figure placement and captions - Subfigures and multiple images - Wrapping text around figures

Basic Figure:

\usepackage{graphicx}

\begin{figure}[htbp]
\centering
\includegraphics[width=0.8\textwidth]{image.png}
\caption{System Architecture Diagram}
\label{fig:architecture}
\end{figure}

% Reference: See Figure~\ref{fig:architecture}

Multiple Subfigures:

\usepackage{subcaption}

\begin{figure}[htbp]
\centering
\begin{subfigure}{0.45\textwidth}
\includegraphics[width=\textwidth]{image1.png}
\caption{Before optimization}
\label{fig:before}
\end{subfigure}
\hfill
\begin{subfigure}{0.45\textwidth}
\includegraphics[width=\textwidth]{image2.png}
\caption{After optimization}
\label{fig:after}
\end{subfigure}
\caption{Comparison of results}
\label{fig:comparison}
\end{figure}

Cross-References:

% Labels and references
As shown in Table~\ref{tab:results} and
Figure~\ref{fig:plot}, the performance improved
significantly. See Section~\ref{sec:methods} for details.

% Automatic numbering with cleveref
\usepackage{cleveref}
\Cref{tab:results} shows... % Outputs: "Table 1 shows..."

Hands-On Practice: 1. Create a document with 5+ figures and cross-references 2. Build a comparison figure with 4 subfigures 3. Include plots exported from Python/R/MATLAB 4. Create a figure-heavy technical report

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Week 6: Bibliography and Citations

Module 7: BibTeX and Bibliography Management

Topics: - BibTeX basics (.bib files) - Citation styles (numeric, author-year, IEEE, APA) - Bibliography management tools (JabRef, Zotero) - Modern biblatex package

BibTeX Workflow:

% main.tex
\documentclass{article}
\usepackage{natbib}

\begin{document}

According to \citet{knuth1984}, LaTeX is excellent.
Many researchers agree \citep{lamport1994,goossens1994}.

\bibliographystyle{plainnat}
\bibliography{references} % references.bib file

\end{document}

BibTeX Database (references.bib):

@book{knuth1984,
author = {Donald E. Knuth},
title = {The TeXbook},
publisher = {Addison-Wesley},
year = {1984},
isbn = {0-201-13447-0}
}

@article{lamport1994,
author = {Leslie Lamport},
title = {LaTeX: A Document Preparation System},
journal = {Addison-Wesley Professional},
year = {1994},
volume = {2}
}

@inproceedings{goossens1994,
author = {Michel Goossens and Frank Mittelbach},
title = {The LaTeX Companion},
booktitle = {Addison-Wesley},
year = {1994}
}

Modern biblatex:

\usepackage[backend=biber,style=ieee]{biblatex}
\addbibresource{references.bib}

\begin{document}

According to \textcite{knuth1984}, we can see that...
Multiple citations \cite{lamport1994,goossens1994}.

\printbibliography

\end{document}

Hands-On Practice: 1. Create a bibliography with 10+ references 2. Try different citation styles (APA, IEEE, Chicago) 3. Export references from Google Scholar to BibTeX 4. Write a literature review with 20+ citations

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Week 7: Presentations and Graphics

Module 8: Beamer Presentations

Topics: - Beamer document class - Slides, frames, and overlays - Themes and customization - Transitions and animations

Basic Beamer Presentation:

\documentclass{beamer}
\usetheme{Madrid}
\usecolortheme{default}

\title{My Presentation}
\author{Your Name}
\date{\today}

\begin{document}

\frame{\titlepage}

\begin{frame}
\frametitle{Outline}
\tableofcontents
\end{frame}

\section{Introduction}

\begin{frame}
\frametitle{Background}
\begin{itemize}
\item<1-> First point appears
\item<2-> Second point appears
\item<3-> Third point appears
\end{itemize}
\end{frame}

\begin{frame}
\frametitle{Key Results}
\begin{columns}
\column{0.5\textwidth}
Content in left column
\column{0.5\textwidth}
Content in right column
\end{columns}
\end{frame}

\end{document}

Overlay Specifications:

% Progressive reveal
\begin{frame}
\frametitle{Incremental Display}
\begin{itemize}
\item<1-> Always visible
\item<2-> Appears on slide 2
\item<3-4> Visible only on slides 3-4
\item<4-> Appears from slide 4 onward
\end{itemize}

\only<2>{Content visible only on slide 2}
\uncover<3->{Content revealed from slide 3}
\end{frame}

Hands-On Practice: 1. Create a 15-slide presentation on a technical topic 2. Try 3 different Beamer themes (Madrid, Berlin, Copenhagen) 3. Add progressive reveals and animations 4. Include code listings and mathematical equations

Module 9: TikZ Graphics and Diagrams

Topics: - TikZ basics (nodes, paths, shapes) - Flowcharts and block diagrams - Plots and graphs (PGFPlots) - Network diagrams

Basic TikZ Drawing:

\usepackage{tikz}
\usetikzlibrary{shapes,arrows,positioning}

\begin{tikzpicture}
% Nodes
\node[draw, rectangle] (A) {Input};
\node[draw, circle, right=of A] (B) {Process};
\node[draw, rectangle, right=of B] (C) {Output};

% Arrows
\draw[->] (A) -- (B);
\draw[->] (B) -- (C);
\end{tikzpicture}

Flowchart:

\begin{tikzpicture}[
node distance=2cm,
block/.style={rectangle, draw, text width=5em, text centered, rounded corners, minimum height=3em},
decision/.style={diamond, draw, text width=4.5em, text centered, inner sep=0pt}
]

\node [block] (start) {Start};
\node [decision, below of=start] (decide) {Decision?};
\node [block, below of=decide, node distance=3cm] (yes) {Yes Branch};
\node [block, right of=decide, node distance=4cm] (no) {No Branch};
\node [block, below of=yes] (end) {End};

\draw[->] (start) -- (decide);
\draw[->] (decide) -- node[left] {Yes} (yes);
\draw[->] (decide) -- node[above] {No} (no);
\draw[->] (yes) -- (end);
\draw[->] (no) |- (end);

\end{tikzpicture}

PGFPlots:

\usepackage{pgfplots}
\pgfplotsset{compat=1.18}

\begin{tikzpicture}
\begin{axis}[
xlabel=$x$,
ylabel=$f(x)$,
title={Function Plot}
]
\addplot[blue, thick] {x^2};
\addplot[red, thick] {2*x + 1};
\legend{$x^2$, $2x+1$}
\end{axis}
\end{tikzpicture}

Hands-On Practice: 1. Create a system architecture diagram with TikZ 2. Draw a 5-step flowchart for a process 3. Plot 3 mathematical functions with PGFPlots 4. Create a network topology diagram

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Week 8: Advanced Topics

Module 10: Custom Commands and Packages

Topics: - Defining custom commands (\newcommand) - Custom environments - Creating your own .sty package - Class files (.cls)

Custom Commands:

% Simple command
\newcommand{\RR}{\mathbb{R}} % Real numbers
\newcommand{\CC}{\mathbb{C}} % Complex numbers

% Command with arguments
\newcommand{\vect}[1]{\mathbf{#1}}
\newcommand{\norm}[1]{\left\| #1 \right\|}

% Optional arguments
\newcommand{\derivative}[2][x]{\frac{d #2}{d #1}}

% Usage:
The vector $\vect{x} \in \RR^n$ has norm $\norm{\vect{x}}$.
\derivative{f} % df/dx
\derivative[t]{f} % df/dt

Custom Environments:

\newenvironment{warning}
{\begin{quotation}\textbf{Warning:}}
{\end{quotation}}

% Usage:
\begin{warning}
This is a warning message.
\end{warning}

Creating a Package (.sty):

% mypackage.sty
\ProvidesPackage{mypackage}[2024/01/01 My Custom Package]

\RequirePackage{amsmath}
\RequirePackage{graphicx}

\newcommand{\mylogo}{\includegraphics[width=2cm]{logo.png}}
\newcommand{\companyname}{Acme Corporation}

\endinput

Hands-On Practice: 1. Create 10 custom commands for your field 2. Build a custom package with your frequently used macros 3. Create a custom document class for reports 4. Set up a personal LaTeX template repository

Module 11: Collaborative LaTeX

Topics: - Git version control for LaTeX - Overleaf collaborative editing - LaTeX diff tools (latexdiff) - Continuous integration (GitHub Actions for LaTeX)

Git Workflow:

# Initialize repository
git init
git add main.tex references.bib figures/
git commit -m "Initial draft"

# Collaborate
git branch feature-section3
git checkout feature-section3
# Make changes
git commit -m "Add methodology section"
git checkout main
git merge feature-section3

Latexdiff:

# Generate diff PDF between versions
latexdiff old.tex new.tex > diff.tex
pdflatex diff.tex

GitHub Actions (.github/workflows/latex.yml):

name: Build LaTeX
on: [push]
jobs:
build:
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v3
- name: Compile LaTeX
uses: xu-cheng/latex-action@v2
with:
root_file: main.tex
- name: Upload PDF
uses: actions/upload-artifact@v3
with:
name: PDF
path: main.pdf

Hands-On Practice: 1. Set up a LaTeX project on GitHub with CI/CD 2. Collaborate with a colleague on Overleaf 3. Use latexdiff to track changes between versions 4. Create a template repository for future projects

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Week 8+: Specialized Topics (Optional)

Module 12: Domain-Specific Applications

Academic Writing: - Dissertation templates (memoir class) - Journal article formatting (elsarticle, IEEEtran) - Conference proceedings (ACM, Springer templates)

Technical Documentation: - Code listings (listings, minted packages) - API documentation (doxygen integration) - Syntax highlighting for multiple languages

Scientific Posters: - beamerposter package - Conference poster templates - Large-format printing considerations

Books and Long Documents: - Book class and memoir - Multi-file projects (\include, \input) - Index generation (makeindex) - Glossaries and acronyms

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Real-World Projects

Project 1: Academic Paper Create a complete research paper with: - Abstract and keywords - Multi-column layout - 20+ citations - Tables and figures - Appendix with supplementary material

Project 2: Technical Documentation Build comprehensive technical documentation with: - Code listings with syntax highlighting - API reference tables - Architecture diagrams (TikZ) - Cross-referenced sections

Project 3: Presentation Deck Create a professional Beamer presentation with: - Title slide with logo - Table of contents - Progressive reveals - Data visualization plots - References slide

Project 4: Book Chapter Write a book chapter including: - Chapter introduction - Multiple sections and subsections - Theorem environments - Bibliography - Index entries

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Essential Packages Reference

Category	Package	Purpose
Math	amsmath, amssymb	Mathematical symbols and environments
Graphics	graphicx	Including external images
Tables	booktabs	Professional-looking tables
Colors	xcolor	Text and background colors
Diagrams	tikz, pgfplots	Vector graphics and plots
Code	listings, minted	Syntax-highlighted code
Bibliography	biblatex, natbib	Reference management
Fonts	fontspec, lmodern	Font selection and configuration
Hyperlinks	hyperref	Clickable cross-references
Layouts	geometry	Page margins and dimensions

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Troubleshooting Guide

Common Errors:

1. Undefined control sequence
2. Missing package import
3. Typo in command name

4. Solution: Check package requirements

5. Missing $ inserted

6. Math mode used outside $ or [ ]
7. Special characters (%, &, _) not escaped

8. Solution: Enclose in $ or use \textbackslash

9. File not found

10. Image path incorrect
11. Bibliography file missing

12. Solution: Check file paths and extensions

13. Package conflicts

14. Incompatible package versions
15. Package load order matters
16. Solution: Load hyperref last (usually)

Best Practices: - Compile frequently to catch errors early - Use meaningful labels (\label{fig:architecture}, not \label{fig1}) - Keep .bib file organized and validated - Version control with Git - Use package documentation (texdoc )

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Resources

Official Documentation: - LaTeX Project: https://www.latex-project.org/ - CTAN (Package repository): https://ctan.org/ - Overleaf Documentation: https://www.overleaf.com/learn

Books: - "The LaTeX Companion" by Mittelbach et al. - "LaTeX Beginner's Guide" by Stefan Kottwitz - "The Not So Short Introduction to LaTeX" (Free PDF)

Online Tools: - Overleaf: https://www.overleaf.com - Detexify (Symbol lookup): http://detexify.kirelabs.org/ - TableGenerator: https://www.tablesgenerator.com/

Communities: - TeX Stack Exchange: https://tex.stackexchange.com/ - r/LaTeX subreddit - LaTeX Discord servers

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Assessment Checklist

By the end of this learning plan, you should be able to:

• Create structured documents (reports, papers, theses)
• Typeset complex mathematical equations
• Design professional tables and include figures
• Manage bibliographies with 50+ references
• Create presentation slides with Beamer
• Draw diagrams and plots with TikZ/PGFPlots
• Write custom commands and macros
• Collaborate using Git and Overleaf
• Debug common LaTeX errors
• Use appropriate packages for specific tasks

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Next Steps: - Join LaTeX community forums - Contribute to LaTeX package development - Create reusable templates for your organization - Mentor others learning LaTeX - Explore advanced topics (ConTeXt, LuaTeX)