Semestre | Oblig. | Option | Filières |
H | x |
Cours | 2 hebdo |
Exercices | 2 hebdo |
Plan d'étude | Semestre | Oblig. | Option | Filières |
Cours de mathématiques spéciales 2022-23 | H | x |
Cursus | Sem. | Type |
---|---|---|
Cours de mathématiques spéciales | H | Obl. |
Programmation Python
1. Notions générales (informatique, ordinateur, langage de programmation, programme, compilation, interprétation, exécution, etc.) et caractéristiques du langage Python
2. Syntaxe du langage Python, types de données, classes, objets ; types simples ; variables, références ; opérateurs ; structures de contrôle du flux (choix et boucles)
3. Fonctions : fonctions vs méthodes ; fonctions prédéfinies vs fonctions écrites par le programmeur ; définition vs appel d'une fonction ; portée des variables ; fonctions récursives ; fonctions d'ordre supérieur
4. Structures de données : chaînes de caractères et interaction avec l'utilisateur (sortie standard et entrée standard) ; listes ; tuples ; sets ; frozensets ; dictionnaires ; compréhensions
5. Notions élémentaires de programmation orientée objets : objets et classes ; attributs et méthodes
6. Exceptions
Algorithmique
1. Compréhension d'algorithmes : identification de l'entrée et de la sortie, réponse aux questions "cet algorithme est-il correct ?" et "cet algorithme termine-t-il ? "
2. Analyse du temps de parcours d'un algorithme :
3. Récursivité (paradigme "diviser pour conquérir") ; analyse du temps de parcours d'algorithmes récursifs simples
4. Algorithmes de recherche : recherche linéaire, recherche d'un élément dans une liste par bissection (dichotomie)
5. Algorithmes de tri : tri par insertion, tri par bulles (bubble sort), tri par sélection, tri par fusion (merge sort)
6. Algorithmes de graphes : définition, applications, représentation de graphes, parcours en largeur (BFS), parcours en profondeur (DFS), plus court chemin, arbre couvrant
programmation, Python, syntaxe Python, fonctions Python, structures de données Python, POO Python, exceptions Python, Jupyter Notebook, algorithmique, temps de parcours, récursivité, algorithmes de recherche, algorithmes de tri, algorithmes de graphes
Cours ex cathedra et travaux pratiques sur ordinateur
Contrôles écrits
Cours PREPA-026 ICS (pour CMS)
Cours de 1ère année a l'EPFL
obligatoire
obligatoire
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Pendant le semestre
During the semester
Session hiver
Session winter
HIV
HIV
obligatoire
obligatoire
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Pendant le semestre
During the semester
Session été
Session summer
ETE
ETE
BALISES_TEXTES
BOOLEAN_Symbol
BaliseJS_debut
BaliseJS_fin
Balise_debut
Balise_fin
FO_debut
FO_fin
HTML_debut
HTML_fin
JS_debut
JS_fin
BALISE_BOLD
BOOLEAN_Symbol
BaliseJS_debut
\x5bb\x5d
BaliseJS_fin
\x5b\x2fb\x5d
Balise_debut
[b]
Balise_fin
[/b]
FO_debut
font-weight=bold
FO_fin
font-weight=normal
HTML_debut
<b>
HTML_fin
</b>
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\x3cb\x3e
JS_fin
\x3c\x2fb\x3e
BALISE_ITALIC
BOOLEAN_Symbol
BaliseJS_debut
\x5bi\x5d
BaliseJS_fin
\x5b\x2fi\x5d
Balise_debut
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[/i]
FO_debut
font-style=italic
FO_fin
font-style=normal
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</i>
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\x3ci\x3e
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\x3c\x2fi\x3e
BALISE_RED
BOOLEAN_Symbol
BaliseJS_debut
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BaliseJS_fin
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Balise_debut
[red]
Balise_fin
[/red]
FO_debut
color=#990033
FO_fin
color=black
HTML_debut
<span style="color:#990033;">
HTML_fin
</span>
JS_debut
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\x3c\x2fspan\x3e
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HTML_debut
<img src="/images/gestacplus/base/pixel.gif" width="40" height="1"/>
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BaliseJS_fin
Balise_debut
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\x26#x2022;\x26#160;\x26#160;
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CODE5045487
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[]
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JS_fin
BALISE_GREEN
BOOLEAN_Symbol
BaliseJS_debut
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Balise_debut
[green]
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[/green]
FO_debut
color=#008000
FO_fin
color=black
HTML_debut
<span style="color:#008000;">
HTML_fin
</span>
JS_debut
\x3cspan style="color:#008000;"\x3e
JS_fin
\x3c\x2fspan\x3e
CODE7508550
BOOLEAN_Symbol
BaliseJS_debut
\x5bblue\x5d
BaliseJS_fin
\x5b\x2fblue\x5d
Balise_debut
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[/blue]
FO_debut
color=#0080FF
FO_fin
color=black
HTML_debut
<span style="color:#0080FF;">
HTML_fin
</span>
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\x3c\x2fspan\x3e
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BOOLEAN_Symbol
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FO_debut
font-family=Courier
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font-family=
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BOOLEAN_Symbol
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font-size=20pt
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font-size=
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[/16]
FO_debut
font-size=16pt
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font-size=
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</font>
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\x3c\x2ffont\x3e
BALISE_SIZE12
BOOLEAN_Symbol
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BaliseJS_fin
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[/12]
FO_debut
font-size=12pt
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font-size=
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</font>
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BALISE_SIZE8
BOOLEAN_Symbol
BaliseJS_debut
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BaliseJS_fin
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[/8]
FO_debut
font-size=8pt
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font-size=
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\x3c\x2ffont\x3e
BALISE_BLACKBACK
BOOLEAN_Symbol
BaliseJS_debut
\x5bblackback\x5d
BaliseJS_fin
\x5b\x2fblackback\x5d
Balise_debut
[blackback]
Balise_fin
[/blackback]
FO_debut
background-color=black
FO_fin
background-color=white
HTML_debut
<span style="background-color:black;">
HTML_fin
</span>
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\x3cspan style="background-color:black;"\x3e
JS_fin
\x3c\x2fspan\x3e
BALISE_WHITE
BOOLEAN_Symbol
BaliseJS_debut
\x5bwhite\x5d
BaliseJS_fin
\x5b\x2fwhite\x5d
Balise_debut
[white]
Balise_fin
[/white]
FO_debut
color=white
FO_fin
color=black
HTML_debut
<span style="color:white;">
HTML_fin
</span>
JS_debut
\x3cspan style="color:white;"\x3e
JS_fin
\x3c\x2fspan\x3e
CODE47534071
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bbeta\x5d
BaliseJS_fin
Balise_debut
[beta]
Balise_fin
FO_debut
[inline]=β
FO_fin
HTML_debut
β
HTML_fin
JS_debut
\x26#946;
JS_fin
CODE47534435
BOOLEAN_Symbol
1
BaliseJS_debut
\x5balpha\x5d
BaliseJS_fin
Balise_debut
[alpha]
Balise_fin
FO_debut
[inline]=α
FO_fin
HTML_debut
α
HTML_fin
JS_debut
\x26#945;
JS_fin
CODE47551722
BOOLEAN_Symbol
BaliseJS_debut
\x5bsub\x5d
BaliseJS_fin
\x5b\x2fsub\x5d
Balise_debut
[sub]
Balise_fin
[/sub]
FO_debut
vertical-align=sub
FO_fin
vertical-align=baseline
HTML_debut
<sub>
HTML_fin
</sub>
JS_debut
\x3csub\x3e
JS_fin
\x3c\x2fsub\x3e
CODE48535424
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bLAMBDA\x5d
BaliseJS_fin
Balise_debut
[LAMBDA]
Balise_fin
FO_debut
[inline]=Λ
FO_fin
HTML_debut
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HTML_fin
JS_debut
\x26#923;
JS_fin
CODE48535666
BOOLEAN_Symbol
1
BaliseJS_debut
\x5blambda\x5d
BaliseJS_fin
Balise_debut
[lambda]
Balise_fin
FO_debut
[inline]=λ
FO_fin
HTML_debut
λ
HTML_fin
JS_debut
\x26#955;
JS_fin
CODE47551793
BOOLEAN_Symbol
BaliseJS_debut
\x5bsup\x5d
BaliseJS_fin
\x5b\x2fsup\x5d
Balise_debut
[sup]
Balise_fin
[/sup]
FO_debut
vertical-align=super
FO_fin
vertical-align=baseline
HTML_debut
<sup>
HTML_fin
</sup>
JS_debut
\x3csup\x3e
JS_fin
\x3c\x2fsup\x3e
CODE56031535
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bdelta\x5d
BaliseJS_fin
Balise_debut
[delta]
Balise_fin
FO_debut
[inline]=δ
FO_fin
HTML_debut
δ
HTML_fin
JS_debut
\x26#948;
JS_fin
CODE56073309
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bpi\x5d
BaliseJS_fin
Balise_debut
[pi]
Balise_fin
FO_debut
[inline]=π
FO_fin
HTML_debut
π
HTML_fin
JS_debut
\x26#960;
JS_fin
CODE56074095
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bDELTA\x5d
BaliseJS_fin
Balise_debut
[DELTA]
Balise_fin
FO_debut
[inline]=Δ
FO_fin
HTML_debut
Δ
HTML_fin
JS_debut
\x26#916;
JS_fin
CODE56074172
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bMU\x5d
BaliseJS_fin
Balise_debut
[MU]
Balise_fin
FO_debut
[inline]=Μ
FO_fin
HTML_debut
Μ
HTML_fin
JS_debut
\x26#924;
JS_fin
CODE56074264
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bPI\x5d
BaliseJS_fin
Balise_debut
[PI]
Balise_fin
FO_debut
[inline]=Π
FO_fin
HTML_debut
Π
HTML_fin
JS_debut
\x26#928;
JS_fin
CODE56074328
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bSIGMA\x5d
BaliseJS_fin
Balise_debut
[SIGMA]
Balise_fin
FO_debut
[inline]=Σ
FO_fin
HTML_debut
Σ
HTML_fin
JS_debut
\x26#931;
JS_fin
CODE56075056
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bALPHA\x5d
BaliseJS_fin
Balise_debut
[ALPHA]
Balise_fin
FO_debut
[inline]=Α
FO_fin
HTML_debut
Α
HTML_fin
JS_debut
\x26#913;
JS_fin
CODE56075186
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bBETA\x5d
BaliseJS_fin
Balise_debut
[BETA]
Balise_fin
FO_debut
[inline]=Β
FO_fin
HTML_debut
Β
HTML_fin
JS_debut
\x26#914;
JS_fin
BALISE_SYMBOL
BOOLEAN_Symbol
BaliseJS_debut
\x5bsymbol\x5d
BaliseJS_fin
\x5b\x2fsymbol\x5d
Balise_debut
[symbol]
Balise_fin
[/symbol]
FO_debut
font-family=Symbol
FO_fin
font-family=
HTML_debut
<font style="font-family:Symbol;">
HTML_fin
</font>
JS_debut
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\x3c\x2ffont\x3e
CODE56072935
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bmu\x5d
BaliseJS_fin
Balise_debut
[mu]
Balise_fin
FO_debut
[inline]=μ
FO_fin
HTML_debut
μ
HTML_fin
JS_debut
\x26#956;
JS_fin
CODE56073842
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bsigma\x5d
BaliseJS_fin
Balise_debut
[sigma]
Balise_fin
FO_debut
[inline]=σ
FO_fin
HTML_debut
σ
HTML_fin
JS_debut
\x26#963;
JS_fin
CODE68199232
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bphi\x5d
BaliseJS_fin
Balise_debut
[phi]
Balise_fin
FO_debut
[inline]=φ
FO_fin
HTML_debut
φ
HTML_fin
JS_debut
\x26#966;
JS_fin
CODE68199285
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bPHI\x5d
BaliseJS_fin
Balise_debut
[PHI]
Balise_fin
FO_debut
[inline]=Φ
FO_fin
HTML_debut
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JS_debut
\x26#934;
JS_fin
CODE68199991
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bgamma\x5d
BaliseJS_fin
Balise_debut
[gamma]
Balise_fin
FO_debut
[inline]=γ
FO_fin
HTML_debut
γ
HTML_fin
JS_debut
\x26#947;
JS_fin
CODE68200031
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bGAMMA\x5d
BaliseJS_fin
Balise_debut
[GAMMA]
Balise_fin
FO_debut
[inline]=Γ
FO_fin
HTML_debut
Γ
HTML_fin
JS_debut
\x26#915;
JS_fin
CODE68200077
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bomega\x5d
BaliseJS_fin
Balise_debut
[omega]
Balise_fin
FO_debut
[inline]=ω
FO_fin
HTML_debut
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HTML_fin
JS_debut
\x26#969;
JS_fin
CODE68200150
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bOMEGA\x5d
BaliseJS_fin
Balise_debut
[OMEGA]
Balise_fin
FO_debut
[inline]=Ω
FO_fin
HTML_debut
Ω
HTML_fin
JS_debut
\x26#937;
JS_fin
CODE72092691
BOOLEAN_Symbol
BaliseJS_debut
\x5beta\x5d
BaliseJS_fin
Balise_debut
[eta]
Balise_fin
FO_debut
[inline]=η
FO_fin
HTML_debut
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JS_debut
\x26#951;
JS_fin
CODE72092805
BOOLEAN_Symbol
BaliseJS_debut
\x5bETA\x5d
BaliseJS_fin
Balise_debut
[ETA]
Balise_fin
FO_debut
[inline]=Η
FO_fin
HTML_debut
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HTML_fin
JS_debut
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JS_fin
BALISE_SOULIGNER
BOOLEAN_Symbol
BaliseJS_debut
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Balise_debut
[u]
Balise_fin
[/u]
FO_debut
text-decoration=underline
FO_fin
text-decoration=none
HTML_debut
<u>
HTML_fin
</u>
JS_debut
\x3cu\x3e
JS_fin
\x3c\x2fu\x3e
CODE72092388
BOOLEAN_Symbol
BaliseJS_debut
\x5bpsi\x5d
BaliseJS_fin
Balise_debut
[psi]
Balise_fin
FO_debut
[inline]=ψ
FO_fin
HTML_debut
ψ
HTML_fin
JS_debut
\x26#968;
JS_fin
CODE72092541
BOOLEAN_Symbol
BaliseJS_debut
\x5bPSI\x5d
BaliseJS_fin
Balise_debut
[PSI]
Balise_fin
FO_debut
[inline]=Ψ
FO_fin
HTML_debut
Ψ
HTML_fin
JS_debut
\x26#936;
JS_fin
CODE140502511
BOOLEAN_Symbol
1
BaliseJS_debut
\x5brho\x5d
BaliseJS_fin
Balise_debut
[rho]
Balise_fin
FO_debut
[inline]=ρ
FO_fin
HTML_debut
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HTML_fin
JS_debut
\x26#961;
JS_fin
CODE140504636
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bRHO\x5d
BaliseJS_fin
Balise_debut
[RHO]
Balise_fin
FO_debut
[inline]=Ρ
FO_fin
HTML_debut
Ρ
HTML_fin
JS_debut
\x26#929;
JS_fin
CODE148292791
BOOLEAN_Symbol
BaliseJS_debut
\x5bepsilon\x5d
BaliseJS_fin
Balise_debut
[epsilon]
Balise_fin
FO_debut
[inline]=ε
FO_fin
HTML_debut
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HTML_fin
JS_debut
\x26#949;
JS_fin
CODE169976220
BOOLEAN_Symbol
BaliseJS_debut
\x5blig\x5d
BaliseJS_fin
Balise_debut
[lig]
Balise_fin
FO_debut
[inline]=›  
FO_fin
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JS_debut
\x26#x203A;\x26#160;\x26#160;
JS_fin
CODE148292899
BOOLEAN_Symbol
BaliseJS_debut
\x5bEPSILON\x5d
BaliseJS_fin
Balise_debut
[EPSILON]
Balise_fin
FO_debut
[inline]=Ε
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JS_debut
\x26#917;
JS_fin
BALISETXT_SAUT
BOOLEAN_Symbol
BaliseJS_debut
\x5bbr\x2f\x5d
BaliseJS_fin
Balise_debut
[br/]
Balise_fin
FO_debut
FO_fin
HTML_debut
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HTML_fin
JS_debut
\x3cbr\x2f\x3e
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