how to add the table of contents to beamer?

Question

I wanna use beamer for my presentation for the first time. Here it is:

\documentclass{beamer}
\mode<presentation> {
\usetheme{Madrid}
}
\usepackage{graphicx} 
\usepackage{booktabs} 
\title[XXXX]{XXXXX} 

\author{Maryam} 
\institute[AI] 
{AI Lab \\ % Your institution for the title page
\medskip
\textit{[email protected]} % Your email address

}
\date{\today} 

\begin{document}

\begin{frame}
\titlepage % Print the title page as the first slide
\end{frame}

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


%   PRESENTATION SLIDES

\section{xxxx1} % 
%------------------------------------------------

\subsection{xx2} % 

\begin{frame}
\frametitle{f1}
bla bla...

\end{frame}

%------------------------------------------------

\begin{frame}
\frametitle{f2}
bla bla
\end{frame}


%------------------------------------------------
\section{Mathematical Modeling}

\begin{frame}
\frametitle{Hill-Function based method}
\begin{equation*} \label{eq: main odes10-main1-last}
\frac{dr_a}{d\tau}=\frac{T_0}{H_r} \left(\left[1-\prod_{j=1}^{K_a}\rho(\alpha_{aj} r_{j},S_{aj}, k_{aj})\right]\prod_{m=K_a+1}^{J_a}\rho(\alpha_{am} r_{m},S_{am}, k_{am})-r_a(t)\right)\end{equation*}

\end{frame}

%------------------------------------------------

\section{Results}

\begin{frame}
\frametitle{Regions}

\end{frame}

%----------------------------------------------------------------------------------------

\end{document} 

How I can have the table of contents on the left side on all slides? And also how can attach logo?

Thanks

Answer 1

Probably this is what you want.

\documentclass[12pt]{beamer}
\usetheme{Berkeley}
\usepackage{graphicx}
\usepackage{booktabs}
\usepackage[english]{babel}
\logo{\includegraphics[height=1cm]{example-image-a}}
\title[XXXX]{XXXXX}

\author{Maryam}
\institute[AI]
{AI Lab \\ % Your institution for the title page
\medskip
\textit{[email protected]} % Your email address

}
\date{\today}

\begin{document}

\begin{frame}
\titlepage % Print the title page as the first slide
\end{frame}

\begin{frame}{Overview}
\tableofcontents
\end{frame}


%   PRESENTATION SLIDES

\section{xxxx1} %
%------------------------------------------------

\subsection{xx2} %

\begin{frame}{f1}
bla bla...

\end{frame}

%------------------------------------------------

\begin{frame}{f2}
bla bla
\end{frame}


%------------------------------------------------
\section{Mathematical Modeling}

\begin{frame}{Hill-Function based method}
\begin{equation*} \label{eq: main odes10-main1-last}
\frac{dr_a}{d\tau}=\frac{T_0}{H_r} \left(\left[1-\prod_{j=1}^{K_a}\rho(\alpha_{aj} r_{j},S_{aj}, k_{aj})\right]\prod_{m=K_a+1}^{J_a}\rho(\alpha_{am} r_{m},S_{am}, k_{am})-r_a(t)\right)\end{equation*}

\end{frame}

%------------------------------------------------

\section{Results}

\begin{frame}{Results}


\end{frame}

%----------------------------------------------------------------------------------------

\end{document} 

Here, to bring the Table of Contents on the left side, use the Berkeley theme of Beamer.
Then, to insert a logo use the command \logo{[options]\includegraphics{filename.extension}}
Also, you need not include a seperate \frametitle{}, in the \begin{frame} environment itself, addition of one more argument does the job. Like this \begin{frame}{frametitle}

Highlighting the current section

Scaling the equation to fit the frame: