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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Sincethis WIMS server has been updated to 4. Activities Function calculatorfor one-variable real functions: Shifting puzzlerecover a jigsaw puzzle by shifting rows or columns.

Matrix calculatorcomputes determinant, inverse, eigenvectors, Linear solversolves your linear systems, including systems with parameters. Matrix multiplierinput two matrices and get their product or other formula. Animated drawingplot zooming, deforming and rotating curves and surfaces.

Factorisfactors integers and polynomials. Base converterconverts a number between different numbering systems, arbitrary precision. Vector calculatorlinear dependence, orthogonal complement, visualisation, products Primessearching for primes in different ways. Bar gamesimple step game, play against the server. Wcalcmulti-purpose single-step calculator usable in popup mode.

Graphic functionsrecognize the graph of f -x from that of f xetc. Decryptrecover a crypted text. OEF calculationscollection of exercices on calculation fractions, signed numbers. Graphic derivativerecognize the graph of the derivative of a function. Bezoutcomputes euclidean division, gcd, lcm, Bezout relation. OEF fractionscollection of exercises on fractions. Coincidence-Polynomialfind a polynomial according to its curve. Polyrayvisualize implicit algebraic surfaces by ray tracing.

Gravity shootclick on the gravity center of a given configuration. Visual Gaussstep by step Gauss elimination for matrix or system. Rotation shootclick on the center of a rotation 2D. Arithmetic tablesarithmetic training exercise-game with highly variable levels.

Complex shootlocate a complex number by clicking on the complex plane. Elliptic billiardsbouncing on a billiard table of elliptic form. Goldbachwrite an even integer as sum of two primes. Quizz derivativeelementary questions on derivatives.

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OEF rectanglescollection of exercises on rectangles. Graphic inverserecognize the graph of an inverse function. Sequence plotplot a numerical sequence or series.

## Exemples d’équations différentielles

OEF proportionalitycollection of exercises on proportionality. Additive figuresplace numbers in geometric figures according to conditions on sums. Quizz matriceselementary questions on matrices. OEF Matricescollection of exercises on matrices. Recognize a map and its propertiesvisual exercise on the definition of coyrs map. OEF derivativescollection of exercises on derivatives of functions of one variable.

OEF complexcollection of exercises on complex numbers. Derivative drawgiven the graph of a function, draw that of diffefentielle derivative. OEF Linsys 2x2collection of exercises on elementary linear systems 2×2. Quadratic choicerecognize the graph of a quadratic polynomial. OEF clockcollection of exercises on clock recognition.

### Sylvie Benzoni-Gavage

Homothety shootclick on the center of an homothety 2D. Basesfind a basis of a vector subspace under various definitions. Graphic complex inequalitiesrecognize a region of the complex plane described by inequalities. Vector shootclick on a linear combination of 2D vectors.

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Wfindfind words by letter patterns.

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OEF definite integralcollection of exercises on definite integrals of one variable theory and computation. Circular drawdraw the circumscribed circle of a triangle, etc.

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OEF inversecollection djfferentielle exercises on the inverse function of a real bijective function.

OEF orthogonal distancecollection of exercises on orthogonal projection and distance. Graphic integralrecognize the graph of the integral of a function. Partial equationfill-in an equation to make it correct, drag-and-drop style exercises.

OEF sequencescollection of exercises on infinite sequences. Inverse drawdraw an inverse function, requires java or javascript. Function drawdraw a function using the graph of another, requires java. Segfracsplit a fraction into sum of cors with smaller denominators.

OEF geometric integralcollection of exercises on geometric applications of definite integrals of one variable.

Popup calculator formsyou can search calculating forms or insert them into your own web pages. Quizz integrationelementary questions on integration. OEF several variables functionscollection of exercises on several variables functions. Two eauationdecompose an integer into sums of two squares. Tayloralgebraic manipulations of Taylor expansions. Quizz vector spaceselementary questions on vector spaces.

Accordancefind a polynomial according to its values. Epsilonon the definition of continuity: Vision 4Dplots hypersurfaces etc. Linear system dialogask questions to get information in order to solve linear systems. Order arrangementarrange given numbers according to their order.

OEF derivativepractising with differentiation. OEF trianglescollection of exercises on triangles. Linear shootclick on the image of a point by a linear transformation.

OEF vector space definitioncollection of exercices on the definition of vector spaces. SQRT shootlocate square, cubic, OEF Determinantcollection of exercises on the determinant of a square matrix.

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