NAMSSN UI Chapter

Minimal article template

This is a clean starting point for assignments, mini-projects, and typed notes. Copy it into Overleaf or your local editor and rename the title, author, and sections.

\documentclass[11pt]{article}
\usepackage{amsmath,amssymb,amsthm}
\usepackage[margin=1in]{geometry}

\title{Course Title -- Short Notes}
\author{Your Name}
\date{\today}

\begin{document}
\maketitle

\section{Introduction}
Write a short overview of what these notes contain.

\section{Main results}
State the main definitions, theorems, and examples.

\section{Examples}
Collect worked examples that you can revise quickly before tests.

\end{document}

Try to keep each section focused. You can always split into more sections later.

Theorems, lemmas & proofs

The amsthm package gives you a consistent way to present theorems and proofs.

\usepackage{amsthm}

\theoremstyle{plain}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}

\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}

\theoremstyle{remark}
\newtheorem*{remark}{Remark}

\begin{theorem}
Let $f$ be continuous on $[a,b]$. Then $f$ is bounded.
\end{theorem}

\begin{proof}
Sketch your proof here, step by step, clearly indicating where you use
each hypothesis.
\end{proof}

Adjust the numbering (by section, by chapter, etc.) depending on the style of the document.

Beamer slide template

Use this template for short talks, seminar introductions, or Integration Bee presentations.

\documentclass{beamer}
\usetheme{default} % Replace with your favourite theme

\title{Talk Title}
\author{Your Name}
\institute{Department of Mathematics, University of Ibadan}
\date{Seminar Date}

\begin{document}

\begin{frame}
  \titlepage
\end{frame}

\begin{frame}{Motivation}
  Explain the main question or idea in simple language.
\end{frame}

\begin{frame}{Key definitions}
  State the definitions you need for your main result.
\end{frame}

\begin{frame}{Main result}
  State your main theorem or example. Keep the text concise.
\end{frame}

\begin{frame}{Example}
  Work through one example slowly and clearly.
\end{frame}

\begin{frame}{Thank you}
  \centering Questions?
\end{frame}

\end{document}

Keep each slide light: one main idea, a few formulas, and enough space around the text.

Useful small patterns in documents

\begin{equation}
\int_0^1 x^n\,dx = \frac{1}{n+1}.
\end{equation}

\begin{equation*}
e^x = \sum_{n=0}^{\infty} \frac{x^n}{n!}.
\end{equation*}

\begin{align}
S_n &= 1 + r + r^2 + \dots + r^{n-1} \\
    &= \frac{1-r^n}{1-r}, \quad r \neq 1.
\end{align}

\begin{equation}
\label{eq:gauss-int}
\int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}.
\end{equation}

As we see in \eqref{eq:gauss-int}, the integral is finite.

\begin{thebibliography}{9}

\bibitem{rudin}
W.~Rudin,
\textit{Principles of Mathematical Analysis},
McGraw--Hill, 1976.

\end{thebibliography}