Méthodes mathématiques
Astuces sur les intégrales (changements de variables)
création ou suppression de fonctions affines
u=1/x
ex : u= 1+x
Fractions à fortes symétries
dx=-du/(u^2)
ex: du=dx
ex:u^2=x
ex: u=cos(x)
Pour toute fonction polynomiale
forte présence de fonctions trigonométriques
dx = 2udu
ex: dx= -du/sqrt(1-u^2)
ex: u= Arctan(x)
u=ln(x)
Fonction logarithme présente
réduction de la taille des bornes ou au contraire
dx=du/u
ex: dx =(1+tan(u)^2)du
Méthodes mathématiques
Intégrales impropres et parametrées
Penser aux fonctions connues pour les majorations
Riemann
pas de - à +infini
séparer les bornes
simplifier le problèlme
Exponentielles
Sous hypothèses, méthodes des intégrales classiques
1/(1+x^2)
Par parties
Se ramener à des fonctions connues
changement de variables
exp(-36x)
poser les caluls
Théorème 2
prendre son temps
hypothèses
vérification des hypothèses
double limite
Méthodes mathématiques
Matrices
Dim 2
endomorphismes
produits
Cas simples
diagonales
commutation?
scindé?
Sn(R)->Dz
se ramener à des espaces connus
Polynômes
cayley hamilton
Mn(C)->Tz
dev. colonnes/lignes
aIn+Nilpotente
déterminants et polynômes caractéristiques
Calculs d'exponentiels
sous espaces stables
Dz?
Méthodes mathématiques
Séries
Comparaison série intégrale
Riemann
Revenir à des choses plus simples
Séries connues
DSE0 (ou autre point)
Dualité série suite
CVA => CV dim finie
k^2=k(k-1)+k
astuces numériques sur les entiers
Convergence
Théorème d'Abel
k= k+i -i
Somme partielle et reste
Dériver
reconnaitre des fonctions en DSE
Décomposer
Si convergence assembler/separer
Intégrer
Méthodes mathématiques
Suite de fonctions
loclité de la continuité...
localité
étude sur segments
soit x...
CVS
CVN->CVU->CVS
dualités
Changement d'études
développer les fonctions potentiellement
Méthodes mathématiques
Topologie
triangulaire
segments
Faire apparaitre les inégalités
Connexe
équivalence des normes dim finie
CPA: chemins
passage à la limite
uniforme C0
implique continuité
Ouvert et fermé
Lipschitze
complémentaire
linéaires ->continues
attention à la dimension
Compact
En dimensions finies
théorème de Heine
n-linéaires
Méthode mathématiques
Équations différentielles
matrices
Variation des constantes
Solution particulièe (n)
Changer la représentation
n-scalaires <=> 1 matrice Mn(...)
passer par les matrices
vérification (évidence?)
diagonaliser
obtenir des solutions particulières
Simplifier des systèmes
changements de variables dans les fonctions
variation de la constance
Obtenir une deuxième solution homogène
séries entières
chercher des solutions en particulier
variation de la constante
polynômes
Méthodes mathématiques
Probabilités
Penser aux séries connues
fonction de transfert
Familles sommables
calculs conjoints
Valeurs absolues
variables liées
bij/inj/sur-> plusieurs possibilités
vérifier les lois connues
Lois de proba
Dénombrement
besoin de limites: croissance/ décroissance
"transitivité" de dénombrable
si dur, complémentaire
Évènements
Nommer
Méthodes mathématiques
astuces d'algèbres
raionner sur les petits espaces
inclusions et dimensions
Applications des dimensions
euclidiens
sommes directes
symétries
théorème du rang
Dimensions avec les morphismes
raisonner sur les esp. propres, Im,Ker
calcul de u^2 (proj,sym...)
étude de morphismes
passage aux matrices
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
- Visit the Analytics settings;
- Activate user tracking;
- Let the communication flow!
Astuces pour les maths
a.henry35850
Created on June 3, 2024
Start designing with a free template
Discover more than 1500 professional designs like these:
View
Essential Map
View
Akihabara Map
View
Frayer Model
View
Create Your Story in Spanish
View
Microcourse: Key Skills for University
View
Microcourse: Learn Spanish
View
January School Calendar
Explore all templates
Transcript
Méthodes mathématiques
Astuces sur les intégrales (changements de variables)
création ou suppression de fonctions affines
u=1/x
ex : u= 1+x
Fractions à fortes symétries
dx=-du/(u^2)
ex: du=dx
ex:u^2=x
ex: u=cos(x)
Pour toute fonction polynomiale
forte présence de fonctions trigonométriques
dx = 2udu
ex: dx= -du/sqrt(1-u^2)
ex: u= Arctan(x)
u=ln(x)
Fonction logarithme présente
réduction de la taille des bornes ou au contraire
dx=du/u
ex: dx =(1+tan(u)^2)du
Méthodes mathématiques
Intégrales impropres et parametrées
Penser aux fonctions connues pour les majorations
Riemann
pas de - à +infini
séparer les bornes
simplifier le problèlme
Exponentielles
Sous hypothèses, méthodes des intégrales classiques
1/(1+x^2)
Par parties
Se ramener à des fonctions connues
changement de variables
exp(-36x)
poser les caluls
Théorème 2
prendre son temps
hypothèses
vérification des hypothèses
double limite
Méthodes mathématiques
Matrices
Dim 2
endomorphismes
produits
Cas simples
diagonales
commutation?
scindé?
Sn(R)->Dz
se ramener à des espaces connus
Polynômes
cayley hamilton
Mn(C)->Tz
dev. colonnes/lignes
aIn+Nilpotente
déterminants et polynômes caractéristiques
Calculs d'exponentiels
sous espaces stables
Dz?
Méthodes mathématiques
Séries
Comparaison série intégrale
Riemann
Revenir à des choses plus simples
Séries connues
DSE0 (ou autre point)
Dualité série suite
CVA => CV dim finie
k^2=k(k-1)+k
astuces numériques sur les entiers
Convergence
Théorème d'Abel
k= k+i -i
Somme partielle et reste
Dériver
reconnaitre des fonctions en DSE
Décomposer
Si convergence assembler/separer
Intégrer
Méthodes mathématiques
Suite de fonctions
loclité de la continuité...
localité
étude sur segments
soit x...
CVS
CVN->CVU->CVS
dualités
Changement d'études
développer les fonctions potentiellement
Méthodes mathématiques
Topologie
triangulaire
segments
Faire apparaitre les inégalités
Connexe
équivalence des normes dim finie
CPA: chemins
passage à la limite
uniforme C0
implique continuité
Ouvert et fermé
Lipschitze
complémentaire
linéaires ->continues
attention à la dimension
Compact
En dimensions finies
théorème de Heine
n-linéaires
Méthode mathématiques
Équations différentielles
matrices
Variation des constantes
Solution particulièe (n)
Changer la représentation
n-scalaires <=> 1 matrice Mn(...)
passer par les matrices
vérification (évidence?)
diagonaliser
obtenir des solutions particulières
Simplifier des systèmes
changements de variables dans les fonctions
variation de la constance
Obtenir une deuxième solution homogène
séries entières
chercher des solutions en particulier
variation de la constante
polynômes
Méthodes mathématiques
Probabilités
Penser aux séries connues
fonction de transfert
Familles sommables
calculs conjoints
Valeurs absolues
variables liées
bij/inj/sur-> plusieurs possibilités
vérifier les lois connues
Lois de proba
Dénombrement
besoin de limites: croissance/ décroissance
"transitivité" de dénombrable
si dur, complémentaire
Évènements
Nommer
Méthodes mathématiques
astuces d'algèbres
raionner sur les petits espaces
inclusions et dimensions
Applications des dimensions
euclidiens
sommes directes
symétries
théorème du rang
Dimensions avec les morphismes
raisonner sur les esp. propres, Im,Ker
calcul de u^2 (proj,sym...)
étude de morphismes
passage aux matrices
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation:
Got an idea?
Use this space to add awesome interactivity. Include text, images, videos, tables, PDFs... even interactive questions! Premium tip: Get information on how your audience interacts with your creation: