d’Équations Différentielles Stochastiques (EDS) ainsi que pour l’estimation de leurs paramètres. Cet aspect n’est pas abordé au cours de cette thèse. Le support de cours est le polycopié “Analyse réelle et complexe” de F. Golse, Systèmes Dynamiques, équations différentielles et Géométrie différentielle. Brioschi, F. Les invariants des équations différentielles linéaires. J.-A. Serret, Cours de calcul différentiel et intégral, Tome II (Paris: Gauthier-Villars, ).

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Wcalcmulti-purpose single-step calculator usable in popup mode. Rotation shootclick on the center of a rotation 2D. OEF vectors 3Dcollection of exercises on 3D diffreentielle. Elliptic billiardsbouncing on a billiard table of elliptic form. Limited derivativesfind the bound of a function having bounded derivative.

Rankmultfind two matrices whose product is a given matrix.

WIMS: WWW Interactive Multipurpose Server

OEF polynomialcollection of exercises on polynomials of one variable real or complex coefficients. Bezoutcomputes euclidean division, gcd, lcm, Bezout relation. Recognize a map and its propertiesvisual exercise on the definition of a map. Goldbachwrite an even integer as sum of two primes.


Graphic functionsrecognize the graph of f -x from that of f xetc. OEF gcdcollection of exercises on gcd and lcm of integers. Polynomial sweepgraphs and roots of a polynomial, with animated deformation. Suffixes and prefixescollection of exercises on word formation with suffix and prefix. Choice of ellipsesrecognize an ellipse according to its equation, or vice versa. Popup calculator formsyou can search calculating forms or insert them into your own web pages.

Wfindfind words by letter patterns. Coincidence-Polynomialfind a polynomial according to its curve. Quizz integrationelementary questions on integration. OEF defining intervalcollection of exercises on the defining interval of a real function.

Extend-subspaceextend a vector subspace to a required dimension. OEF double integralscollection of exercises on double integrals. Roottestfind the root of a function by successive tests. SQRT drawdraw roots of a complex number, requires java. OEF sequencescollection of exercises differsntielle infinite sequences.

OEF eurocollection of exercises on the arithmetic of euro. OEF gradientcollection of exercises on the gradient of 2 variables functions. Order arrangementarrange given numbers according to their order.


Basesfind a basis of a vector subspace under various definitions. OEF differentiabilitycollection of exercises on the differentiability of functions of one real variable. Inequality zonedetermine an inequality for variables in a given zone. Quizz complexelementary questions on complex numbers. Parametric choicefrom a parametric curve, recognize values or derivatives of functions.

Graphic complex inequalitiesrecognize a region of the complex plane described by inequalities. Quizz derivativeelementary questions on derivatives. Graphical decryptdecrypt a picture crypted by a psudo-random sequence. Graphic absrecognize the graph of f x from that of f xetc.

Goursat: “Cours d’analyse mathématique”

OEF countriesexercises on countries in the world: Quizz vector spaceselementary questions on vector spaces. Parametric pointsplots a parametric curve with moving point. OEF physical integralcollection of exercises on physical applications of definite integrals of one variable.