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249847
249847
39486325
39486325
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Computer Science
IN
IC
Faculté informatique et communications
School of Computer and Communication Sciences
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Systèmes de communication, 2010-2011, Bachelor semestre 1
Communication Systems, 2010-2011, Bachelor semester 1
Ecole polytechnique fédérale de Lausanne
EPFL
Ecole polytechnique fédérale de Lausanne
EPFL
2010-2011
Bachelor semestre 1
BA1
HIVER
Bachelor semester 1
BA1
Systèmes de communication
SC
Communication Systems
SC
Systèmes de communication
SC
Communication Systems
SC
obligatoire
obligatoire
3
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Wittwer
Peter
166061
Mathématiques
MA
Mathematics
MA
3
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Wittwer
Peter
166061
Mathématiques
MA
Mathematics
MA
1705590
Analyse I
Analysis I
0
Ecrit
Written
Coefficient
Coefficient
2
Session hiver
Session winter
HIV
HIV
Informatique, 2010-2011, Bachelor semestre 1
Computer Science, 2010-2011, Bachelor semester 1
Ecole polytechnique fédérale de Lausanne
EPFL
Ecole polytechnique fédérale de Lausanne
EPFL
2010-2011
Bachelor semestre 1
BA1
HIVER
Bachelor semester 1
BA1
Informatique
IN
Computer Science
IN
Informatique
IN
Computer Science
IN
obligatoire
obligatoire
3
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Wittwer
Peter
166061
Mathématiques
MA
Mathematics
MA
3
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Wittwer
Peter
166061
Mathématiques
MA
Mathematics
MA
1705590
Analyse I
Analysis I
0
Ecrit
Written
Coefficient
Coefficient
2
Session hiver
Session winter
HIV
HIV
Study of the principal methods of the differential and integral calculus of real-valued functions with a view towards applications by future engineers.
Learning outcomes
Étude des méthodes principales du calcul différentiel et intégral de fonctions réelles en vue de leur utilisation par le futur ingénieur.
Objectifs d'apprentissage
Integers, real and complex numbers.[br/]Real functions, sequences, series and limits. [br/]Continuity. [br/]Derivatives, Taylor's theorem with remainder and Taylor series. [br/]Definite and indefinite integrals.[br/]Improper integrals. [br/]Power series. [br/]Differential equations.[br/]Functions of several variables: continuity, derivatives and partial derivatives. [br/]Implicit functions. [br/]Maxima and minima, extrema with constraints. [br/]Multiple integrals. [br/][br/]The detailed program and the order of presentation may vary.
Content
Nombres entiers, réels et complexes.[br/]Fonctions réelles, suites, limites. [br/]Continuité. [br/]Dérivées, développement limité et séries de Taylor. [br/]Primitives et intégrales définies.[br/]Intégrales généralisées. [br/]Séries numériques, séries entières. [br/]Équations différentielles.[br/]Fonctions de plusieurs variables : continuité, dérivées et dérivées partielles. [br/]Fonctions implicites. [br/]Extrema et extrema liés. [br/]Intégrales multiples. [br/][br/]Le programme détaillé et l'ordre peuvent varier.
Contenu
Ex cathedra lecture and exercises in the classroom
Type of teaching
Cours ex cathedra et exercices en salle
Forme d'enseignement
The exam is written and semestrial with each exam lasting 3 hours
Form of examination
L'examen est écrit et semestriel, et chaque examen dure 3 heures
Forme du contrôle
The lecturer will indicate the recommended literature in his/her course.
Bibliography and material
L'enseignant précisera les manuels recommandés dans son cours. [br/][br/]J. Douchet et B. Zwahlen, Calcul différentiel et intégral, 1985 et 1998, PPUR. [br/]J. Douchet, Analyse Recueil d'exercices et aide-mémoire, vol 1 & 2, 2003 et 2004, PPUR. [br/]J. Douchet, Analyse : recueil d'exercices et aide-mémoire, vol 1, 2ème édition, 2005.[br/]F. Ayres et E.Mendelson, Calcul différentiel et intégral, McGraw-Hill,2e éd, 1993.[br/]M. R. Spiegel, Analyse, McGraw-Hill, 1993.[br/]E. Swokowski, Analyse, de Broeck University.[br/]Christian Blatter, Ingenieur Analysis 1, volume 1. Springer, zweite edition, 1996.[br/]Christian Blatter, Ingenieur Analysis 2, volume 2. Springer, zweite edition, 1996.[br/]C.A. Stuart, Analyse I pour ingénieurs. Polycopié, 1997.[br/]Cours polycopié, C.A. Stuart, Analyse I et II. [br/]"Savoir faire en mathématiques", PPUR.
Bibliographie et matériel
Analyse / Swokowski; trad. de l'anglais par Micheline Citta
2000
2-8041-1594-1
Analyse : recueil d'exercices et aide-mémoire / Jacques Douchet
2010
978-2-88074-892-0
Analyse vectorielle : cours et problèmes, [480 problèmes résolus] / Murray R. Spiegel
1996
2-7042-0003-3
Calcul différentiel et intégral : cours et problèmes / Frank Ayres, Jr., Elliott Mendelson; trad. par Abdellatif Abouhazim
1996
2-7042-1275-9
Calcul différentiel et intégral : fonctions réelles d'une ou de plusieurs variables réelles / Jacques Douchet, Bruno Zwahlen
2006
978-2-88074-728-2
Ingenieur Analysis / Christian Blatter
1996
3-540-60439-1
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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
ε
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
HTML_debut
›  
HTML_fin
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
FO_fin
HTML_debut
Ε
HTML_fin
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
<br/>
HTML_fin
JS_debut
\x3cbr\x2f\x3e
JS_fin
1705590
Analyse I
Analysis I
French
Wittwer Peter
166061
249847