University Lecture Notes - LaTeX Source Code

This repository contains all the LaTeX source code for the lecture notes I took during my time at university. The aim is to provide a comprehensive template that you can use for your own notes or documents, especially if you're new to LaTeX.

Overview

The core of this template is built around the preamble.tex file located in the LaTeXTemplate folder. This folder also includes other essential files used to compile the documents:

1. letterfonts.tex
2. macros.tex
3. lstlistingEnvs.tex

These files contain shortcuts for mathematical symbols, custom macros, and LaTeX environments that help present information in organized boxes.

A lot of this template has been influenced by other people such as Senior Mars and Gilles Castel († 2022).

Preview of the Notes

Multivariable Calculus

Operational Research

How to Use the Template

If you're new to LaTeX, this step-by-step guide will help you get started using this template for your own documents.

Prerequisites

• LaTeX Distribution: Install a LaTeX distribution on your computer.
  • Windows: MiKTeX
  • macOS: MacTeX
  • Linux: Install TeX Live via your package manager (e.g., sudo apt-get install texlive-full on Ubuntu).
• Text Editor: Use any text editor or a LaTeX-specific editor.
  • Examples: TeXstudio, TeXworks, Overleaf (online editor)

Step-by-Step Guide

1. Download or Clone the Repository

   • Clone via Git:

     git clone https://github.com/yourusername/yourrepository.git

   • Download ZIP:
     • Click on the green "Code" button at the top right of the repository page.
     • Select "Download ZIP" and extract it to your desired location.

2. Set Up Your Project Directory

   • Create a new folder for your LaTeX project.
   • Copy the LaTeXTemplate folder from the repository into your project directory.

3. Create Your Main LaTeX Document

   • In your project directory, create a new file named main.tex.
   • This will be the main file where you write your content.

4. Structure Your main.tex File

   • Open main.tex in your text editor.

   • Include the template files using the \input{} command.

   • Your main.tex should look like this:

     % main.tex
     \input{LaTeXTemplate/preamble.tex}
     
     \begin{document}
     
     % Your content goes here
     
     \end{document}

5. Customize Your Document

   • Add a title, author, and date to your document:

     \title{My Lecture Notes}
     \author{Your Name}
     \date{\today}

   • Include these before \begin{document}.

6. Start Writing Content

   • Begin your document with \maketitle and \tableofcontents if desired:

     \begin{document}
     
     \maketitle
     \tableofcontents
     
     % Your content starts here
     
     \end{document}

   • Write your notes between \begin{document} and \end{document}.

7. Use Custom Commands and Environments

   • Take advantage of the predefined macros and environments from the template.
   • Examples:
     • Math Shortcut:

       Let $f(x) = x^2$. Then the derivative is $f'(x) = 2x$.

     • Definition Environment:

       \begin{definition}
       A \emph{metric space} is a set $M$ together with a function $d: M \times M \to \mathbb{R}$ satisfying certain properties.
       \end{definition}

     • Theorem and Proof Environment:

       \begin{theorem}
       If $f$ is continuous on $[a, b]$, then $f$ is integrable on $[a, b]$.
       \end{theorem}
       
       \begin{proof}
       The proof follows from the definition of continuity and the properties of the Riemann integral.
       \end{proof}

8. Compile Your Document

   • Open a terminal or command prompt.
   • Navigate to your project directory.
   • Run the LaTeX compiler:

     pdflatex main.tex

   • This will generate a main.pdf file in your project directory.

Sample Boilerplate main.tex

Here's an example of what your main.tex file might look like:

% main.tex
\input{LaTeXTemplate/preamble.tex}

\title{My Lecture Notes}
\author{Your Name}
\date{\today}

\begin{document}

\maketitle
\tableofcontents

\section{Introduction}

Welcome to my lecture notes. This document covers various topics discussed in class.

\section{Mathematical Concepts}

Let $f(x) = x^2$. Then the derivative is $f'(x) = 2x$.

\begin{definition}
A \emph{vector space} over a field $\mathbb{F}$ is a set $V$ together with two operations that satisfy eight axioms.
\end{definition}

\begin{theorem}
Every finite-dimensional vector space has a basis.
\end{theorem}

\begin{proof}
The proof involves constructing a basis by extending a linearly independent set.
\end{proof}

This is the end of your document. 
\end{document}