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Guyot 2021-07-17 13:05:53 +02:00
parent 9f4e87af0f
commit 4bc40eb15b
23 changed files with 136470 additions and 50582 deletions
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@ -65,47 +65,90 @@ macro:->Wikimedia
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macro:->Voir
Wikimedia
commons
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\url
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\@endanenote
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macro:->Voir
Wikimedia
commons~:
\url
{https://commons.wikimedia.org/wiki/File:Computer\_tapes.jpg}
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macro:->Voir
Wikimedia
commons~:
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macro:->Voir
Wikimedia
commons~:
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macro:->Voir
Wikimedia
commons~:
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macro:->Voir
Wikimedia
commons~:
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{https://commons.wikimedia.org/wiki/File:Bildverarbeitung\_blob\_sdcard.png}
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macro:->Wikipedia macro:->Wikipedia
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\url \url
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\@endanenote \@endanenote
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macro:->Voir macro:->Voir
wikipedia wikipedia
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{http://commons.wikimedia.org/wiki/File:CCD\_in\_camera.jpg} {http://commons.wikimedia.org/wiki/File:CCD\_in\_camera.jpg}
\@endanenote \@endanenote
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macro:->Voir macro:->Voir
wikipedia wikipedia
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\@endanenote \@endanenote
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macro:->Voir macro:->Voir
wikipedia wikipedia
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\url \url
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\@endanenote \@endanenote
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wikipedia wikipedia
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macro:->Voir macro:->Voir
Wikicommon Wikicommon
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\url \url
{http://commons.wikimedia.org/wiki/File:Fourier\_d\%27un\_carr\%C3\%A9.svg} {http://commons.wikimedia.org/wiki/File:Fourier\_d\%27un\_carr\%C3\%A9.svg}
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Wikicommon Wikicommon
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@ -66,6 +66,14 @@
\pgfuseshading{beamer@topshade} \pgfuseshading{beamer@topshade}
\vskip-2pt \vskip-2pt
} }
%----- Définition de l'environnement atelier
\newenvironment<>{atelier}[1][]{%
\setbeamercolor{block title}{fg=white,bg=green!30!black}
\setbeamercolor{block body}{fg=black,bg=teal!40}
\begin{block}{Au travail}%
}{%
\end{block}
}
%----- %-----
\begin{document} \begin{document}
@ -82,16 +90,17 @@
\frametitle{Table des matières} \frametitle{Table des matières}
\begin{columns}[t] \begin{columns}[t]
\begin{column}{5cm} \begin{column}{5cm}
\tableofcontents[sections={1},currentsection,currentsubsection] %\tableofcontents[sections={1},currentsection,currentsubsection]
\tableofcontents[sections={\insertsectionnumber},currentsection,currentsubsection]
\end{column} \end{column}
\begin{column}{5cm} \begin{column}{5cm}
\tableofcontents[sections={2},currentsection,currentsubsection] \tableofcontents[sections={1-4},currentsection,hideallsubsections]
\end{column} \end{column}
\end{columns} \end{columns}
\end{frame} \end{frame}
} }
\section{Notions fondamentales (DF)} \section{DF Systèmes numériques}
\subsection{Problématique} \subsection{Problématique}
@ -101,7 +110,7 @@
En quoi l'informatique est-elle une science interdisciplinaire ? En quoi l'informatique est-elle une science interdisciplinaire ?
\end{column} \end{column}
\begin{column}{7cm} \begin{column}{7cm}
\begin{block}{Option complémentaire} \begin{block}{Disciplines}
\begin{itemize} \begin{itemize}
\item Mathématiciens-physiciens. \item Mathématiciens-physiciens.
\item Chimistes-biologistes. \item Chimistes-biologistes.
@ -414,6 +423,19 @@ Libre accès : sans risque légaux (piratage), utilisables sur toutes les plates
\end{tabular} \end{tabular}
\end{frame} \end{frame}
\begin{frame}
\frametitle{Atelier}
\begin{atelier}
\begin{enumerate}
\item \only<1>{Trouvez le nombre de processeur du Raspberrypi4,}\only<2->{quadcore, c'est-à-dire {\color{red}quatre processeurs} ou c\oe urs,}
\item \only<1-2>{trouvez la fréquence de chacun de ses processeurs,} \only<3->{une fréquence de {\color{red}1,5 GigaHertz (64 bits)},}
\item \only<1-3>{trouvez la mémoire vive dont il dispose,}\only<4->{sa mémoire vive peut être de {\color{red}2, 4, 6 ou 8 Go},}
\item \only<1-4>{trouvez le débit de sa sortie RJ45,}\only<5->{le {\color{red}Go/s},}
\item \only<1-5>{trouvez le minimum de mémoire morte que son système nécessite.}\only<6>{son système d'exploitation nécessite {\color{red}dix Go}.}
\end{enumerate}
\end{atelier}
\end{frame}
\subsection{Systèmes d'exploitation} \subsection{Systèmes d'exploitation}
@ -654,8 +676,7 @@ Des logiciels toujours accessibles comme~:
\end{frame} \end{frame}
\subsection{Réseau} \subsection{Réseau}
\begin{frame}{Analogie} \begin{frame}{Réseau}
\begin{columns} \begin{columns}
\begin{column}{0.5\textwidth} \begin{column}{0.5\textwidth}
\centering \centering
@ -684,6 +705,17 @@ Des logiciels toujours accessibles comme~:
\end{columns} \end{columns}
\end{frame} \end{frame}
\begin{frame}{Atelier}
\begin{atelier}
\begin{description}
\item[Adresse IP] \only<1>{Déterminez l'adresse IP de votre machine,}\only<2->{On utilise la commande {\color{red}ip addr}}
\item[Réseau] \only<1-2>{comparez votre adresse IP à celle de vos camarades,}\only<3->{les trois {\color{red}premier nombres sont identiques} ; ils définissent le réseau du lbc,}
\item[Transport] \only<1-3>{tracez la route de vos données vers Raspinoir,}\only<4->{On utilise la commande {\color{red}traceroute IP ou nom de domaine}}
\item[Protocole] \only<1-4>{connectez-vous en http à l'adresse de Raspinoir ; qu'obtenez-vous ?\\Connectez-vous en ssh à cette même adresse ; qu'obtenez-vous ?\\Connectez-vous sur le port FTP à cette adresse ; qu'obtenez-vous ?\\Connectez-vous au serveur de vidéo de la physique à l'aide de VLC et commencez à visionner un film. Quel est le protocole utilisé ?}\only<5>{Le {\color{red}site internet} principal de Raspinoir.\\Une {\color{red}interface de connexion} sur Rapinoir.\\{\color{red}Une erreur}, car aucun serveur FTP n'est présent.\\{\color{red}UPNP/DLNA}}
\end{description}
\end{atelier}
\end{frame}
\subsection{Sécurité} \subsection{Sécurité}
\begin{frame}{Notions générales de sécurité} \begin{frame}{Notions générales de sécurité}
@ -697,17 +729,195 @@ Des logiciels toujours accessibles comme~:
\end{frame} \end{frame}
\begin{frame}{Chiffrage} \begin{frame}{Chiffrage}
\begin{block}{} \begin{block}{Chiffrage - déchiffrage, cryptage, authentification : principes\endnote{Voir Wikimedia commons : \url{https://commons.wikimedia.org/wiki/File:Chiffrement_asymétrique.jpg}}}
Chiffrage, cryptage ? \centering \includegraphics[width=\textwidth]{Chiffrement_asymetrique.eps}
\end{block} \end{block}
\end{frame} \end{frame}
\section{Notions complémentaires (OC)} \begin{frame}{Chiffrage}
\begin{block}{Application : communications client-serveur}
\begin{description}
\item[web] : https
\item[terminal] : ssh
\item[mails] : pops, imaps : ssl/tls
\item[fichiers] : scp, sftp
\end{description}
\end{block}
\begin{block}{Application : navigateur sécurisé-anonyme}
\centering
Navigateur TOR : recommandé par Edward Snowden.
\subsection{Introduction} Principe des poupées russes.
Un excellent article pour comprendre avec des mots http, https et Tor~: \url{https://docs.framasoft.org/fr/comprendre/https-vpn.html}
\end{block}
\end{frame}
\section{DF Informations et données}
\subsection{Stockage : binaire}
\subsection{Le texte} \begin{frame}{Représentation d'un nombre}
Comment un ordinateur comprend-il les nombres ?
\medskip
\onslide<2->Représentation décimale :
\[\onslide<2->127=\onslide<3->100 +20 +7=\onslide<4->1\cdot 100 +2\cdot 10 +7\cdot 1=\onslide<5->1\cdot 10^2 +2\cdot 10^1 +7\cdot 10^0\]
\onslide<6->Représentation binaire :
\[\onslide<7->1101=\onslide<8->1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0=\onslide<9>8+4+0+1=13\]
\end{frame}
\begin{frame}{A l'envers ? Première méthode.}
Il s'agit de passer du nombre décimal 13 à son correspondant binaire 1101. Deux méthodes sont possibles.
\medskip
La première est intuitive :
\begin{enumerate}
\item On trouve la plus grande puissance de 2 inférieure ou égale au nombre décimal, ici \(2^3\) car \(2^3=8<13\),
\item On calcule le reste, ici \(13-8=5\) et on reprend le premier point pour celui-ci et les suivants.
\end{enumerate}
On obtient alors \(2^2=4\) et il reste \(1=2^0\). Le nombre binaire cherché se factorise donc ainsi :
\[13=1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0\]
Le résultat est donc donné par les facteurs de chaque puissance de deux : 1101.
\end{frame}
\begin{frame}{A l'envers ? Seconde méthode.}
Il s'agit de passer du nombre décimal 13 à son correspondant binaire 1101.
\medskip
La seconde méthode est plus ''mécanique`` :
elle consiste à diviser le nombre par deux successivement.
Les restes constituent le nombre binaire \textit{à l'envers}.
Par exemple, 13/2=6 reste 1. Puis, 6/2=3 reste 0. Puis, 3/2=1 reste 1 et enfin, 1/2=0 reste 1.
Les restes sont successivement 1011. En inversant, on obtient le nombre binaire 1101 qui correspond au nombre décimal 13.
\end{frame}
\begin{frame}{Exercices}
Convertissez les nombres suivants :
\begin{itemize}
\item \onslide<1->8 en binaire \onslide<2->\(\;=1000\) car \(1\cdot 2^3+0\cdot 2^2+0\cdot 2^1+0\cdot 2^0=8\)
\item \onslide<1->21 en binaire \onslide<3->\(\;=10101\) car \(1\cdot 2^4+0\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0=21\)
\item \onslide<1->1001101 en décimal \onslide<4->\(\;=77\) car \(1\cdot 2^6+0\cdot 2^5+0\cdot 2^4+1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0=77\)
\item \onslide<1->1101,101 en décimal \onslide<5->\(\;=13,625\) car \(1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0+1\cdot 2^{-1}+0\cdot 2^{-2}+1\cdot 2^{-3}=13,625\)
\item \onslide<1->14,25 en binaire \onslide<6->\(\;=1110,01\) car \(1\cdot 2^3+1\cdot 2^2+1\cdot 2^1+0\cdot 2^0+0\cdot 2^{-1}+1\cdot 2^{-2}=14,25\)
\end{itemize}
\end{frame}
\begin{frame}{Byte, bit et octet}
\transdissolve<3>
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{block}<1->{Décimal}
\begin{description}[23, 45, 234, \dots]
\item[0, 1, 2, \dots, 9] : chiffres.
\item[23, 45, 234, \dots] : nombres.
\end{description}
\end{block}
\end{column}
\begin{column}{0.5\textwidth}
\begin{block}<2->{Binaire}
\begin{description}[101, 11, 10, \dots]
\item[0 et 1] : \textbf{bits}.
\item[101, 11, 10, \dots] : nombres.
\end{description}
\end{block}
\end{column}
\end{columns}
\medskip
\uncover<3>{(Attention, 101 binaire ne se lit pas ''cent un`` et ne correspond pas à la valeur décimale 101. En réalité, on a :
\[0_b=0_d\,;\,1_b=1_d\,;\,10_b=2_d\,;\,11_b=3_d\,;\,100_b=4_d\,;\,101_b=5_d\, \dots)\]}
\end{frame}
\begin{frame}{Byte, bit et octet}
\begin{itemize}
\item<1-> Avec un \emph{bit}, on a les nombres 0 et 1, soit deux nombres.
\item<2-> Avec deux \emph{bits}, on a les nombres 00, 01, 10 et 11, soit quatre nombres.
\item<3-> Avec trois \emph{bits}, on a les nombres 000, 001, 010, 011, 100, 101, 110 et 111, soit huit nombres.
\item<4-> Avec quatre \emph{bits}, on a \dots ?
\item<5-> Avec n \emph{bits}, on a un \textbf{arrangement avec répétition de k éléments choisis parmi deux} (0 ou 1). Les mathématiques donnent alors le nombre de ces arrangements :
\[\bar A_k^2=2^k\]
\end{itemize}
\end{frame}
\begin{frame}{Byte, bit et octet}
Avec huit bits, on a donc :
\[\bar A_8^2=2^8=256\,\text{possibilités}\]
On peut donc représenter 256 nombres.
\medskip
\begin{center}
\fbox{\parbox{6cm}{Un \textbf{octet} est un nombre de huit bits.
Un \emph{octet} est aussi nommé \textbf{byte}.}}
\end{center}
\end{frame}
\begin{frame}{kilobyte, Megabyte, Gigabyte, \dots}
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{block}<1->{Décimal}
kilo \(\equiv\) nombre de possibilités de réaliser un nombre à l'aide de 3 chiffres :
\[\bar A_3^{10}=10^3=1000\,\text{possibilités}\]
\end{block}
\end{column}
\begin{column}{0.5\textwidth}
\begin{block}<2->{Binaire}
kilo \(\equiv\) nombre de possibilités de réaliser un nombre à l'aide de 10 bits :
\[\bar A_{10}^2=2^{10}=1024\,\text{possibilités}\]
\end{block}
\end{column}
\end{columns}
\end{frame}
\begin{frame}{kilobyte, Megabyte, Gigabyte, \dots}
\begin{enumerate}
\item Un kilobyte ou kilooctet, noté ko, correspond à 1024 octets.
\item Un Megabyte ou Megaoctet, noté Mo, correspond à 1024 kilooctet, soit 1'048'576 bytes ou octets.
\item Un Gigabyte ou Gigaoctet, noté Go, correspond à 1024 Megaoctet, soit 1'048'576 kilobyte ou 1'073'741'824 bytes.
\end{enumerate}
L'ordre de grandeur correspond à la notation décimale :
\begin{enumerate}
\item kilo pour milliers.
\item Mega pour millons.
\item Giga pour milliards.
\end{enumerate}
\end{frame}
\begin{frame}{Exercices}
\small
\only<1-2>{Sur un processeur 16 bits, combien de nombres entiers non signés peut on représenter ?\\
(un processeur 16 bits peut manipuler des ``mots'' de 16 bits, exemple 1110110000110110)}
\only<2>{\\\smallskip On a \(2^{16}=65'536\) possibilités, soit autant de nombres.}
\only<3-4>{Sur le même processeur, quels sont les plus petits et plus grands nombres entiers signés qui puissent être représentés ?\\
(c'est à dire avec la possibilité de faire des nombres positifs et négatifs)}
\only<4>{\\\smallskip On a un bit de signe (0 ou 1) et 15 bits pour le nombre, soit \(2^{15}=32'768\) possibilités. On peut donc représenter des nombres de -32'768 à 32'767 (à cause du zéro).}
\only<5-6>{Sur un processeur 32 bits, si on met dans un fichier un fois tous les nombres entiers non signés, quel sera en Go la taille du fichier ?}
\only<6>{\\\smallskip Avec un tel processeur on a \(2^{32}=4'294'967'296\) nombres possibles (avec le zéro). Chaque nombre est codé sur 32 bits, soit au total \(4'294'967'296\cdot 32=1,37\cdot 10^{11}\) bits. Cela représente \(1,71\cdot 10^{10}\) octets ou \(16'777'216\) ko, ou encore \(16'384\) Mo, c'est-à-dire 16 Go.}
\end{frame}
\begin{frame}{Supports de données}
\begin{block}{}
\centering
\includegraphics[width=0.15\textwidth]{BandesMagnetiques}\endnote{Voir Wikimedia commons~: \url{https://commons.wikimedia.org/wiki/File:Computer\_tapes.jpg}}
\includegraphics[width=0.15\textwidth]{dd}\endnote{Voir Wikimedia commons~: \url{https://commons.wikimedia.org/wiki/File:Disque_dur\_0004.JPG}}
\includegraphics[width=0.15\textwidth]{ssd}\endnote{Voir Wikimedia commons~: \url{https://commons.wikimedia.org/wiki/File:Vertex_2_Solid_State_Drive_by_OCZ-top_oblique_PNr\%C2\%B00307.jpg}}
\includegraphics[width=0.15\textwidth]{cleusb}\endnote{Voir Wikimedia commons~: \url{https://commons.wikimedia.org/wiki/File:16\_USB\_flash\_drives.jpg}}
\includegraphics[width=0.15\textwidth]{cartesd}\endnote{Voir Wikimedia commons~: \url{https://commons.wikimedia.org/wiki/File:Bildverarbeitung\_blob\_sdcard.png}}
\begin{description}
\item[Bande magnétique] plastique et oxyde magnétique (oxyde ferrique) (haute capacité, accès très lent)
\item[Disque dur] disque magnétique (haute capacité, accès lent)
\item[Disque dur ssd] mémoire EEPROM (moyenne capacité, accès rapide)
\item[Clé USB] mémoire EEPROM (moyenne capacité, accès moyen)
\item[Carte SD] mémoire EEPROM (faible capacité, accès varié)
\end{description}
\end{block}
\end{frame}
\subsection{Texte, codage, encodage}
\begin{frame}[containsverbatim]{Texte et codage} \begin{frame}[containsverbatim]{Texte et codage}
\centering Caractères \(\leftrightarrows\) table des caractères \centering Caractères \(\leftrightarrows\) table des caractères
@ -796,6 +1006,45 @@ Autres problèmes rencontrés : gestion des crénages (ex.: Tc).
\begin{center}\LARGE \sffamily AaBbCcFcTe \rmfamily AaBbCcFcTe \ttfamily AaBbCcFcTe\end{center} \begin{center}\LARGE \sffamily AaBbCcFcTe \rmfamily AaBbCcFcTe \ttfamily AaBbCcFcTe\end{center}
\end{frame} \end{frame}
\subsection{Formats de fichier}
\begin{frame}{Structure d'un fichier LibreOffice~: odt}
\begin{atelier}
\begin{enumerate}
\item Faites une maquette de documentation de projet avec LibreOffice : titre, entête, pied de page, pagination, table des matières, sections, sous-sections, images \dots
\item Enregistrez celle-ci dans un répertoire nommé \emph{Maquette} avec le nom de fichier \emph{maMaquette.odt}.
\item Faites une copie de ce fichier.
\item Renommez ce fichier (pas la copie) \emph{maMaquette.zip}.
\item Par un clic droit sur ce dernier, sélectionnez \emph{Extraire ici}.
\item Rendez-vous dans le répertoire ou dossier créé.
\item Que contient-il ? En déduire ce qu'est un fichier zip.
\end{enumerate}
\end{atelier}
\end{frame}
\begin{frame}{Structure d'un fichier LibreOffice~: odt}
\begin{atelier}
\begin{enumerate}
\item Que contient le répertoire \emph{images}
\item Trouvez le fichier \emph{content.xml}. Ouvrez-le avec un éditeur de texte simple (pas LibreOffice). Que contient-il ?
\item Trouvez-y une phrase que vous avez écrite et changez là, sans rien toucher d'autre. Enregistrez.
\item Sélectionnez tous les fichiers du répertoire, à l'exception du fichier \emph{maMaquette.zip} et cliquez-droit sur ceux-ci.
\item Sélectionnez \emph{Compresser} et dans la boite de dialogue spécifiez \emph{zip} comme format de fichier et enregistrez ce fichier sur le bureau, sous le nom \emph{maSecondeMaquette.zip}.
\item Changez l'extension de ce dernier fichier en odt et ouvrez-le avec LibreOffice. Que constatez-vous ?
\end{enumerate}
\end{atelier}
\end{frame}
\subsection{Bases de données}
\section{OC Notions complémentaires}
\subsection{Introduction}
\subsection{Le texte}
\begin{frame}[containsverbatim]{Traitements de texte} \begin{frame}[containsverbatim]{Traitements de texte}
Objectifs : mettre en forme du texte. Objectifs : mettre en forme du texte.
@ -962,58 +1211,7 @@ Désagréables \(\longleftrightarrow\) agréables\endnote{Wikipedia : \url{http:
\end{frame} \end{frame}
\subsection{Le nombre}
\begin{frame}{Représentation d'un nombre}
Comment un ordinateur comprend-il les nombres ?
\medskip
\onslide<2->Représentation décimale :
\[\onslide<2->127=\onslide<3->100 +20 +7=\onslide<4->1\cdot 100 +2\cdot 10 +7\cdot 1=\onslide<5->1\cdot 10^2 +2\cdot 10^1 +7\cdot 10^0\]
\onslide<6->Représentation binaire :
\[\onslide<7->1101=\onslide<8->1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0=\onslide<9>8+4+0+1=13\]
\end{frame}
\begin{frame}{A l'envers ? Première méthode.}
Il s'agit de passer du nombre décimal 13 à son correspondant binaire 1101. Deux méthodes sont possibles.
\medskip
La première est intuitive :
\begin{enumerate}
\item On trouve la plus grande puissance de 2 inférieure ou égale au nombre décimal, ici \(2^3\) car \(2^3=8<13\),
\item On calcule le reste, ici \(13-8=5\) et on reprend le premier point pour celui-ci et les suivants.
\end{enumerate}
On obtient alors \(2^2=4\) et il reste \(1=2^0\). Le nombre binaire cherché se factorise donc ainsi :
\[13=1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0\]
Le résultat est donc donné par les facteurs de chaque puissance de deux : 1101.
\end{frame}
\begin{frame}{A l'envers ? Seconde méthode.}
Il s'agit de passer du nombre décimal 13 à son correspondant binaire 1101.
\medskip
La seconde méthode est plus ''mécanique`` :
elle consiste à diviser le nombre par deux successivement.
Les restes constituent le nombre binaire \textit{à l'envers}.
Par exemple, 13/2=6 reste 1. Puis, 6/2=3 reste 0. Puis, 3/2=1 reste 1 et enfin, 1/2=0 reste 1.
Les restes sont successivement 1011. En inversant, on obtient le nombre binaire 1101 qui correspond au nombre décimal 13.
\end{frame}
\begin{frame}{Exercices}
Convertissez les nombres suivants :
\begin{itemize}
\item \onslide<1->8 en binaire \onslide<2->\(\;=1000\) car \(1\cdot 2^3+0\cdot 2^2+0\cdot 2^1+0\cdot 2^0=8\)
\item \onslide<1->21 en binaire \onslide<3->\(\;=10101\) car \(1\cdot 2^4+0\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0=21\)
\item \onslide<1->1001101 en décimal \onslide<4->\(\;=77\) car \(1\cdot 2^6+0\cdot 2^5+0\cdot 2^4+1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0=77\)
\item \onslide<1->1101,101 en décimal \onslide<5->\(\;=13,625\) car \(1\cdot 2^3+1\cdot 2^2+0\cdot 2^1+1\cdot 2^0+1\cdot 2^{-1}+0\cdot 2^{-2}+1\cdot 2^{-3}=13,625\)
\item \onslide<1->14,25 en binaire \onslide<6->\(\;=1110,01\) car \(1\cdot 2^3+1\cdot 2^2+1\cdot 2^1+0\cdot 2^0+0\cdot 2^{-1}+1\cdot 2^{-2}=14,25\)
\end{itemize}
\end{frame}
\begin{frame}{Nombres à virgule flottante} \begin{frame}{Nombres à virgule flottante}
L'écriture d'un nombre est facilitée si elle se fait sous la forme : L'écriture d'un nombre est facilitée si elle se fait sous la forme :

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\babel@toc {french}{} \babel@toc {french}{}
\beamer@sectionintoc {1}{Notions fondamentales (DF)}{2}{0}{1} \beamer@sectionintoc {1}{DF Syst\IeC {\`e}mes num\IeC {\'e}riques}{2}{0}{1}
\beamer@subsectionintoc {1}{1}{Probl\IeC {\'e}matique}{3}{0}{1} \beamer@subsectionintoc {1}{1}{Probl\IeC {\'e}matique}{3}{0}{1}
\beamer@subsectionintoc {1}{2}{Mat\IeC {\'e}riel}{10}{0}{1} \beamer@subsectionintoc {1}{2}{Mat\IeC {\'e}riel}{10}{0}{1}
\beamer@subsectionintoc {1}{3}{Syst\IeC {\`e}mes d'exploitation}{14}{0}{1} \beamer@subsectionintoc {1}{3}{Syst\IeC {\`e}mes d'exploitation}{20}{0}{1}
\beamer@subsectionintoc {1}{4}{Licences}{16}{0}{1} \beamer@subsectionintoc {1}{4}{Licences}{22}{0}{1}
\beamer@subsectionintoc {1}{5}{Applications}{22}{0}{1} \beamer@subsectionintoc {1}{5}{Applications}{28}{0}{1}
\beamer@subsectionintoc {1}{6}{R\IeC {\'e}seau}{24}{0}{1} \beamer@subsectionintoc {1}{6}{R\IeC {\'e}seau}{30}{0}{1}
\beamer@subsectionintoc {1}{7}{S\IeC {\'e}curit\IeC {\'e}}{25}{0}{1} \beamer@subsectionintoc {1}{7}{S\IeC {\'e}curit\IeC {\'e}}{36}{0}{1}
\beamer@sectionintoc {2}{Notions compl\IeC {\'e}mentaires (OC)}{27}{0}{2} \beamer@sectionintoc {2}{DF Informations et donn\IeC {\'e}es}{39}{0}{2}
\beamer@subsectionintoc {2}{1}{Introduction}{28}{0}{2} \beamer@subsectionintoc {2}{1}{Stockage : binaire}{40}{0}{2}
\beamer@subsectionintoc {2}{2}{Le texte}{28}{0}{2} \beamer@subsectionintoc {2}{2}{Texte, codage, encodage}{76}{0}{2}
\beamer@subsectionintoc {2}{3}{Le nombre}{43}{0}{2} \beamer@subsectionintoc {2}{3}{Formats de fichier}{80}{0}{2}
\beamer@subsectionintoc {2}{4}{L'image}{80}{0}{2} \beamer@subsectionintoc {2}{4}{Bases de donn\IeC {\'e}es}{82}{0}{2}
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\beamer@subsectionintoc {2}{6}{Programmation}{179}{0}{2} \beamer@subsectionintoc {3}{1}{Introduction}{83}{0}{3}
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\beamer@subsectionintoc {3}{4}{\LaTeX }{199}{0}{3} \beamer@sectionintoc {4}{Annexes}{213}{0}{4}
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\beamer@subsectionintoc {4}{2}{Les CMS : Syst\IeC {\`e}mes de Management de Contenu}{215}{0}{4} \beamer@subsectionintoc {4}{3}{\IeC {\'E}valuations}{231}{0}{4}
\beamer@subsectionintoc {4}{3}{HTML}{220}{0}{4} \beamer@subsectionintoc {4}{4}{\LaTeX }{233}{0}{4}
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