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+\documentclass[11pt]{beamer}
+\usetheme{Madrid}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath, amssymb, amsfonts, amsthm}
+\usepackage{xcolor}
+
+\usepackage{tikz-cd}
+
+\author[\texttt{sebastiano.tronto@uni.lu}]{Sebastiano Tronto}
+\title{Latex Fundamentals}
+\logo{\includegraphics[scale=0.1]{img/unilu.jpg}} 
+%\institute{University of Luxembourg} 
+
+\newcommand{\bs}{\textbackslash}
+
+\date{2021-02-19} 
+
+\begin{document}
+
+\begin{frame}
+  \titlepage
+\end{frame}
+
+\begin{frame}{Latex}
+  \begin{enumerate}
+    \item Write code (like HTML, not like Python)
+    \item Compile to get a pdf file
+    \item ???
+    \item Profit
+  \end{enumerate}
+\end{frame}
+
+
+\begin{frame}{Document structure}
+  \includegraphics[scale=0.5]{img/example2-preamble-edited.png}
+\end{frame}
+
+\begin{frame}{Preamble}
+  \begin{itemize}
+    \item Include packages with \texttt{\bs usepackage}
+    \item Define properties of the document (\texttt{\bs documentclass},
+          \texttt{\bs author}, ...)
+    \item Define new commands and environments
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Text formatting}
+  \begin{center}
+
+    \begin{tabular}{ccc}
+      \texttt{\small \bs textbf\{Hello\}} &
+      \texttt{\small \bs textit\{Hello\}} or \texttt{\small\bs emph\{Hello\}} &
+      \texttt{\small \bs underline\{Hello\}} \\
+      \textbf{Hello} & \textit{Hello} & \underline{Hello}
+    \end{tabular}
+  
+    \vspace{0.7cm}
+      \begin{tabular}{ccc}
+      \texttt{\small \{\bs small Hello\}} & \hspace{1cm}
+      \texttt{\small \{\bs Large Hello\}} \hspace{1cm} &
+      \texttt{\small \{\bs huge Hello\}} \\
+      {\small Hello} & {\Large Hello} & {\huge Hello}
+    \end{tabular}
+
+  \end{center}
+\end{frame}
+
+\begin{frame}{Text formatting}
+  Some technicalities:
+  \begin{itemize}
+    \item Blocks are delimited by \{ and \}
+    \item \texttt{\bs textbf\{...\}} etc. are commands with one argument
+    \item \texttt{\bs emph\{...\}} is context-aware (when in doubt use this)
+    \item \texttt{\bs Large} etc. change the text until the end of the block
+    \item Some people use \texttt{\{\bs bf Hello\}}, but it is deprecated
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Text formatting}
+  \begin{center}
+    \begin{tabular}{lc}
+      \texttt{\{\bs tiny Hello\}}         & {\tiny Hello} \\
+      \texttt{\{\bs scriptsize Hello\}}   & {\scriptsize Hello} \\
+      \texttt{\{\bs footnotesize Hello\}} & {\footnotesize Hello} \\
+      \texttt{\{\bs normalsize Hello\}}   & {\normalsize Hello} \\
+      \texttt{\{\bs large Hello\}}        & {\large Hello} \\
+      \texttt{\{\bs Large Hello\}}        & {\Large Hello} \\
+      \texttt{\{\bs LARGE Hello\}}        & {\LARGE Hello} \\
+      \texttt{\{\bs huge Hello\}}         & {\huge Hello} \\
+      \texttt{\{\bs Huge Hello\}}         & {\Huge Hello} \\
+    \end{tabular}
+  \end{center}
+\end{frame}
+
+\begin{frame}{Math mode}
+  \texttt{One can write math inline, like
+          {\color{red}\bs(} \bs sum\_i\bs frac\{i\}\{2\} {\color{red}\bs)},
+          or in displaystyle:
+          {\color{red}\bs[} \bs sum\_i\bs frac\{i\}\{2\} {\color{red}\bs]}
+         }
+
+  \vspace{1.5cm}
+  One can write math inline, like \(\sum_i\frac{i}{2}\) or in displaystyle:
+  \[\sum_i\frac{i}{2}\]
+\end{frame}
+
+\begin{frame}{Math mode}
+  \begin{center}
+    For formulas spanning multiple lines you can use:
+
+    \vspace{0.5cm}
+    \texttt{\color{red}\bs begin\{align\} (...) \bs end \{align\}}
+    \begin{align}
+      e^x =& \sum_{n=0}^{\infty} \frac{x^n}{n!} \\
+          =& 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots
+    \end{align}
+    or \texttt{\color{red}\bs begin\{align*\} (...) \bs end\{align*\}} for no
+    numbers.
+  \end{center}
+\end{frame}
+
+\begin{frame}{Math mode}
+  \begin{itemize}
+    \item Some people use \texttt{\$2+2=4\$} instead of \texttt{\bs(2+2=4\bs)}
+    \item Some \textbf{evil} people use \texttt{\$\$2+2=4\$\$} instead of
+          \texttt{\bs[2+2=4\bs]} (don't try this at home!)
+    \item For \texttt{align} use \texttt{\bs nonumber} to remove one number
+          and \texttt{\&} to align.
+    \item For example I always use \texttt{\$2+2=4\$} and the \texttt{align*}
+          environment.
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Math mode}
+  \begin{itemize}
+    \item Simple symbols: letters, numbers, $+,-,=,<,>$...
+    \item Symbols that need a \textbf{command}:
+
+          \vspace{0.6cm}
+          \begin{tabular}{c|c|c|c|c}
+            \texttt{\bs alpha, \bs Phi} & \texttt{\bs times, \bs cdot} &
+            \texttt{\bs sum} & \texttt{\bs leq, \bs geq} & \texttt{\bs infty}\\
+            $\alpha,\Phi$ & $\times,\cdot$ & $\sum$ & $\leq,\geq$ & $\infty$
+          \end{tabular}
+          \vspace{0.6cm}
+    \item Negate symbols with \texttt{\bs not}:
+          \begin{align*}
+            \texttt{x \bs not \bs in A} \qquad\to&\qquad x\not\in A\\
+            \texttt{x \bs not = y}\quad\text{ or }\quad\texttt{x \bs neq y}
+             \qquad\to&\qquad x\neq y\\
+          \end{align*}
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Math mode}
+  \begin{itemize}
+    \item Some commands take one or more \textbf{arguments} (like 
+          \texttt{\bs frac}).
+          
+          Anything can be an argument:
+          \begin{align*}
+            \texttt{\bs frac\{1\}\{\bs sum\_\{n\}\}}\qquad\to\qquad
+            \frac{1}{\sum_{n} \sqrt n}
+          \end{align*}
+    \item A few commands take \textbf{options}:
+          \texttt{\bs sqrt[3]\{x\}} $\to\,\sqrt[3]{x}$
+    %\item Most of these commands work only in Math mode
+  \end{itemize}
+\end{frame}
+
+
+\begin{frame}{Math mode}
+  \begin{itemize}
+    \item Every symbol can have a \textbf{subscript} and a \textbf{superscript}
+          \begin{align*}
+            \texttt{x\_0\^{}\{23\}} \qquad \to \qquad x_0^{23}
+          \end{align*}
+    \item Anything can be a sub/superscript:
+          \begin{align*}
+            \texttt{\bs int\_\{\bs phi (y)\}\^{}\{2\^{}\{n\_1\}\}}
+            \qquad \to \qquad \int_{\phi(y)}^{2^{n_1}}
+          \end{align*}
+  \end{itemize}
+\end{frame}
+
+
+\begin{frame}{Math mode}
+  \begin{itemize}
+    \item Adjust parentheses size with \texttt{\bs left(} and
+          \texttt{\bs right)}: \[\left(\frac{x+6}{y-2}\right)\]
+    \item Insert text with \texttt{\bs text} and
+          spaces with \texttt{\bs ,} and \texttt{\bs quad}:
+          \[\text{this symbol}\quad \sum_{n=0}^\infty \frac{x^n}{n!} \quad
+            \text{is in math mode}, this is not text\]
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Math mode}
+  
+  \begin{itemize}
+    \item Fancy letters with \texttt{\bs mathcal},
+          \texttt{\bs mathbb} and \texttt{\bs mathfrak}:
+          \begin{align*}
+            \mathcal{A} \qquad \mathbb R \qquad \mathfrak p
+          \end{align*}
+    \item For custom operators use \texttt{\bs operatorname\{oper\}}:
+          \begin{align*}
+            \operatorname{oper}(x)
+          \end{align*}
+    \item Pro-tip: write \texttt{\bs newcommand\{\bs R\}\{\bs mathbb R\}} and
+          \texttt{\bs DeclareMathOperator\{\bs lcm\}\{lcm\}} in your preamble!
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Math mode}
+  \begin{itemize}
+    \item Wikibooks page on Math mode:
+         {\small\url{https://en.wikibooks.org/wiki/LaTeX/Mathematics}}
+    \item Advanced stuff:
+         {\small\url{https://en.wikibooks.org/wiki/LaTeX/Advanced_Mathematics}}
+    \item List of Mathematical symbols:
+         {\small\url{https://www.caam.rice.edu/~heinken/latex/symbols.pdf}}
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Environments}
+  \texttt{\color{red}\bs begin\{something\}}
+    Inside an environment 
+  \texttt{\color{red}\bs end\{something\}}
+
+  \vspace{0.8cm}
+  \begin{itemize}
+    \item We have seen \texttt{document} and \texttt{align}
+    \item Text and symbols appear differently depending on the environment
+    \item Certain commands are specific to an environment
+    \item You can define new environments
+  \end{itemize}
+\end{frame}
+
+
+\begin{frame}{Environments}
+  Lists: \texttt{\color{red}itemize} and \texttt{\color{red}enumerate}
+
+  \vspace{0.8cm}
+  \begin{columns}
+    \column{0.5\textwidth}
+      \begin{itemize}
+        \item First: \[2+2=4\]
+        \item Second
+      \end{itemize}
+
+    \column{0.5\textwidth}
+      \texttt{\bs begin\{itemize\}}
+
+      \texttt{\qquad \bs item First: \bs[2+2=4\bs]}
+
+      \texttt{\qquad \bs item Second}
+
+      \texttt{\bs end\{itemize\}}
+  \end{columns}
+\end{frame}
+
+\begin{frame}{Environments}
+  Tables: \texttt{tabular} (text) and \texttt{array} (Math mode)
+
+  \vspace{0.8cm}
+  \begin{columns}
+    \column{0.5\textwidth}
+      \begin{tabular}{r|cc}
+        This & is & just \\
+        \hline
+          a  & boring & table
+      \end{tabular}
+
+    \column{0.5\textwidth}
+      \texttt{\bs begin\{tabular\}\{r|cc\}}
+
+      \texttt{\qquad This \& is \& just \bs\bs}
+
+      \texttt{\qquad \bs hline}
+
+      \texttt{\qquad a \& boring \& table}
+
+      \texttt{\bs end\{tabular\}}
+  \end{columns}
+  
+  \vspace{0.8cm}
+  Matrices: \texttt{array} with parentheses or \texttt{pmatrix}
+\end{frame}
+
+\begin{frame}{Sections}
+  \begin{itemize}
+    \item Use \texttt{\bs section\{Section Name\}} to start a new section
+    \item Also: \texttt{\bs chapter} (book only), \texttt{\bs subsection},
+          \texttt{subsubsection}...
+    \item \texttt{\bs section*\{Name\}} for no number
+    \item Sections after \texttt{\bs appendix} are numbered differently
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Theorems}
+  
+  \begin{itemize}
+    \item In preamble: \texttt{\bs usepackage\{amsthm\}}
+    \item Also in preamble \texttt{\bs newtheorem \{envname\}\{Theorem\}}
+    \item Use \texttt{\bs newtheorem*} for no number
+  \end{itemize}
+\end{frame}
+
+\begin{frame}{Theorems}
+  \begin{columns}
+    \column{0.5\textwidth}
+      \includegraphics[scale=0.3]{img/thm_pre.png}
+
+      \vspace{0.2cm}
+      \vdots
+      \vspace{0.3cm}
+
+      \includegraphics[scale=0.3]{img/thm_tex.png}
+
+    \column{0.5\textwidth}
+      \includegraphics[scale=0.2]{img/thm_pdf.png}
+
+      \vspace{1cm}
+  \end{columns}
+\end{frame}
+
+\begin{frame}{End of the lecture}
+  For next time:
+
+  \vspace{0.8cm}
+  \begin{itemize}
+    \item Install Latex on your PC
+    \item Start writing something in Latex (e.g. homework)
+    \item Email me if you have any question
+  \end{itemize}
+\end{frame}
+
+\end{document}
+