Le support de cours est le polycopié “Analyse réelle et complexe” de F. Golse, Systèmes Dynamiques, équations différentielles et Géométrie différentielle. Studying MAT Équations différentielles at École de Technologie Supérieure? Équations différentielles (MAT ) Notes de cours, cours La place table. The three volume work Cours d’analyse mathématique by Edouard Goursat became Contents: Théorie des fonctions analytiques; Equations différentielles; .

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OEF inversecollection of exercises on the inverse function of a real bijective function. Differentielke derivativescollection of exercises on derivatives of functions of one variable.

Contfracexpand a real number into continued fraction. Simu-bubblemanually simulate a bubble sort. H4 series and sequencesStarting with series and sequences Prog modular arithmetics differebtielle, programming exercises on modular arithmetics. Complex equation drawdraw an equation in the complex plane, requires java or javascript.

OEF arccoscollection of exercises on inverse trigonometric functions. Parametric choicefrom a parametric curve, recognize values or derivatives of functions.

Function drawdraw a function using the graph of another, requires java.

Ray 3Dgenerates raytraced smooth 3D surfaces from parametric equations. Segfracsplit a fraction into sum of fractions with smaller denominators. Parametric cuspparametrize a parametric curve so that it has a cusp. Syntax of mathematical expressionshow to read, to write or to draw an expression.

Homothety shootclick on the center of an homothety 2D. Equuation drawgiven the graph of a function, draw that of an anti-derivative. Sequence plotplot a numerical sequence or series. OEF polynomialcollection of exercises on polynomials of one variable real or complex coefficients.

CountingAdding and Multiplication Trigonometry: OEF factoriscollection of elementary exercises on the factorization of integers. Vision 4Dplots hypersurfaces etc. PermGroupcalculator of permutation groups based on GAP: Finite field calculatorcomputes elements in a finite field.

Vector shootclick on a linear combination of 2D vectors. Tayloralgebraic manipulations of Taylor expansions. OEF complexcollection of exercises on complex numbers. Prime congruence basefind differentiflle prime for the base of a congruence relation. Circuit drawtool for drawing simple electronic circuit schematics. Rankmultfind two matrices whose product is a given matrix. Coincidence-Polynomialfind a polynomial according to its curve.

Lissajous choicerecognize a Lissajous curve according to its equations, or euqation versa. OEF sequencescollection of exercises on infinite sequences. OEF Limit calculus with logarithms or exponentialspractising with computational rules of limits and indeterminate forms. Deductio boundsexercises of interactive deduction on upper and lower bounds of functions.

Partial equationfill-in an equation to make it correct, drag-and-drop style exercises. Graphic derivativerecognize the graph of the derivative of a function.

OEF subspace definitioncollection of exercices on the definition of subspace of vector spaces. Primpolysearch for primitive polynomials over a finite field.

OEF trianglescollection of exercises on triangles. OEF permutationcollection of exercises on permutation. Interactive integrationsolve an integration step by step. Additive figuresplace differnetielle in geometric figures according to conditions on sums. Triangmultfind two triangular matrices whose product is a given square matrix. Doc Linkwordsdocument on linkwords. OEF vector spacescollection of exercises on vector spaces.

OEF derivativepractising with differentiation. Order arrangementarrange given numbers according to their order.

Decompdecompose a composed function. Joint IIparametrize a function to make it continue or differentiable on 2 points.

Polynomial ordercomputes the order of an irreducible polynomial over a finite field F p. Rotation shootclick on the center of a rotation 2D. Reflaxisfind the axis of a reflection given by matrix, or vice versa. Limited derivativesfind the bound of a function having bounded derivative.

Graphical decryptdecrypt a picture crypted qeuation a psudo-random sequence. Basis choicefind a basis of a vector subspace within given vectors. OEF forallcollection of exercises on logic quantifiers. Elliptic billiardsbouncing on a billiard table of elliptic form. Coincidence Transformationtransform a given 2D shape into another given one.