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interactive exercises, online calculators and plotters, mathematical recreation and games, Pôle Formation CFAI-CENTRE
, for one-variable real functions: limits, integrals, roots...
, recover a jigsaw puzzle by shifting rows or columns.
, computes determinant, inverse, eigenvectors,...
, solves linear systems, including systems with parameters.
, input two matrices and get their product (or other formula).
, plot zooming, deforming and rotating curves and surfaces.
, factors integers and polynomials.
, converts a number between different numbering systems, arbitrary precision.
, linear dependence, orthogonal complement, visualisation, products...
, searching for primes in different ways.
, simple step game, play against the server.
, multi-purpose single-step calculator usable in popup mode.
, recognize the graph of f(-x) from that of f(x), etc.
, recover a crypted text.
, collection of exercices on calculation (fractions, signed numbers).
, numerical calculator with modifiable history; real/complex or positive characteristics.
, recognize the graph of the derivative of a function.
, computes euclidean division, gcd, lcm, Bezout relation.
, collection of exercises on fractions.
, find a polynomial according to its curve.
, visualize implicit algebraic surfaces by ray tracing.
, click on the gravity center of a given configuration.
, step by step Gauss elimination (for matrix or system).
, click on the center of a rotation 2D.
, arithmetic training exercise-game with highly variable levels.
, locate a complex number by clicking on the complex plane.
, bouncing on a billiard table of elliptic form.
, write an even integer as sum of two primes.
, elementary questions on derivatives.
, click on one of the centers of a triangle.
, game based on a variation of magic squares.
, puzzle based on affine transformations on a finite field.
, expand a real number into continued fraction.
, collection of exercices on calculation of powers.
, exercise : recognize a line by equation or by graph.
, computes sums of series or finite sums of various kinds.
, collection of exercises on rectangles.
, recognize the graph of an inverse function.
, plot a numerical sequence or series.
, collection of exercises on proportionality.
, place numbers in geometric figures according to conditions on sums.
, elementary questions on matrices.
, collection of exercises on matrices.
Recognize a map and its properties
, visual exercise on the definition of a map.
, collection of exercises on derivatives of functions of one variable.
OEF Complex numbers
, collection of exercises on complex numbers.
, given the graph of a function, draw that of the derivative. Requires java.
OEF Linsys 2x2
, collection of exercises on elementary linear systems 2x2.
, recognize the graph of a quadratic polynomial.
, collection of exercises on clock recognition.
, click on the center of an homothety 2D.
, find a basis of a vector subspace under various definitions.
Graphic complex inequalities
, recognize a region of the complex plane described by inequalities.
, click on a linear combination of 2D vectors.
Choice of ellipses
, recognize an ellipse according to its equation, or vice versa.
, link points by a shortest path.
, animated plot of a sequence (series) of functions.
, elementary questions on complex numbers.
, collection of exercises on polynomials of one variable (real or complex coefficients).
, find a basis of a vector subspace within given vectors.
, recognize the graph of f(x)+g(x) from that of f and g, etc.
, find words by letter patterns.
, solve an integration step by step.
, find a matrix not commuting with a given one.
, find a sinusoidal function according to its graph.
OEF Periodic table
, exercises for memorising the periodic table of elements.
, find tangent / normal line of a plane curve.
, find the best possible approximation of a given curve.
OEF definite integral
, collection of exercises on definite integrals of one variable (theory and computation).
, draw the circumscribed circle (cinscribed circle , circumcircle, incircle) of a triangle.
, analyse a linear system with parameters, using Gauss elimination.
, plots a parametric curve with moving point.
, recognize a graphically described subset.
, collection of exercises on the inverse function of a real bijective function.
OEF orthogonal distance
, collection of exercises on orthogonal projection and distance.
, recognize the graph of the integral of a function.
, fill-in an equation to make it correct, drag-and-drop style exercises.
, collection of exercises on infinite sequences.
, draw a function using the graph of another, requires java.
, split a fraction into sum of fractions with smaller denominators.
OEF geometric integral
, collection of exercises on geometric applications of definite integrals of one variable.
Popup calculator forms
, you can search calculating forms or insert them into your own web pages.
, code/decode a text in Morse code.
, elementary questions on integration.
OEF several variables functions
, collection of exercises on several variables functions.
, decompose an integer into sums of two squares.
, algebraic manipulations of Taylor expansions.
Quizz vector spaces
, elementary questions on vector spaces.
, find a polynomial according to its values.
, on the definition of continuity: given epsilon, find delta.
, plots hypersurfaces etc. in space-time of dimension 4.
Linear system dialog
, ask questions to get information in order to solve linear systems.
, arrange given numbers according to their order.
, practising with differentiation.
, collection of exercises on triangles.
, click on the image of a point by a linear transformation.
OEF Vector space definition
, collection of exercices on the definition of vector spaces.
, locate (square, cubic, ...) roots of a complex number by clicking on the complex plane.
OEF Modular arithmetic
, collection of exercises on the ring Z/nZ.
, a computing exercise on Mean Value Theorem.
, collection of exercises on the determinant of a square matrix.
, write a vector under another basis.
OEF subspace definition
, collection of exercices on the definition of subspace of vector spaces.
OEF vector spaces
, collection of exercises on vector spaces.
Complex equation draw
, given the graph of a function, draw that of an anti-derivative. Requires java.
, exercises on minima / maxima.
, complete a matrix for a minimal rank.
, ask questions to get information in order to solve problems on matrices.
OEF vector subspaces
, collection of exercises on vector subspaces.
, find the curve having a given tangent.
, graphically recognize solution of a linear ordinary differential equation.
, Graphs and roots of a polynomial, with animated deformation.
, calculator of permutation groups based on GAP: symmetric, alternating, transitive, primitive, etc.
, collection of exercises on elementary ordinary differential equations.
, ask questions to get information in order to compute derivatives.
, collection of exercises on gcd and lcm of integers.
, collection of exercises on Taylor expansions of real functions.
, graphically find the Taylor expansion of a function.
OEF Linear systems
, collection of exercises on linear systems.
, from a parametric curve, recognize values or derivatives of functions. Animated graphics.
, collection of exercises on the differentiability of functions of one real variable.
, does a given set of vectors generate the whole vector space?.
, recognize a parametric curve by the graphs of its coordinate functions.
, determine an inequality for variables in a given zone.
OEF Inverse trigonometric functions
, collection of exercises on inverse trigonometric functions.
, rewrite a line/plane/hyperplane: by points or by explicit/implicit/parametric equations.
OEF physical integral
, collection of exercises on physical applications of definite integrals of one variable.
OEF Vectors 3D
, collection of exercises on 3D vectors.
, decompose a composed function.
Graphic inequalities 2D
, recognize a plane region described by inequalities.
OEF double integrals
, collection of exercises on double integrals.
, parametrize a function to make it differentiable to a required order.
, find an optimal encoding in variable length codes.
, collection of exercises on the arithmetic of euro.
Finite field calculator
, computes elements in a finite field.
, collection of exercises on permutations.
, find two triangular matrices whose product is a given square matrix.
, find the fixed point of an affine transformation.
, extend a vector subspace to a required dimension.
, exercises on ohm's law and serial and parallel connections.
, collection of (numerical) exercises on combinatorics.
, asks to solve matrix equations.
, elementary questions on the determinant of a matrix.
, write a given matrix as sum of symmetric and antisymmetric matrices.
, transformation in Z/nZ by addition and multiplication.
, graphical exercise about differential equations.
, transform a given 2D shape into another given one.
, manually simulate a bubble sort.
, decrypt a picture crypted by a psudo-random sequence.
, determine the limit of a recursive sequence according to the graph of the function.
, find the linear combination of two functions by their graphs.
, collection of exercises ont the continuity of functions of one real variable.
OEF Cartesian line 2D
, collection of exercises on lines in the plane and their equations.
OEF vectors 2D
, collection of exercises on 2D vectors.
, find the bound of a function having bounded derivative.
, parametrize a function to make it infinitesimal at a point.
Scenario of inequalities
, discover errors in an argument on inequalities.
, exercises on countries in the world: national flags, maps, etc.
, find the root of a function by successive tests.
OEF finite map
, collection of exercises on maps between finite sets.
, collection of exercises on elementary probability.
, collection of exercises on the gradient of 2 variables functions.
, computes the order of an irreducible polynomial over a finite field Fp
, draw a parametric curve from graphs of coordinate functions, requires java.
, find a polynomial according to the positions of its roots.
, tool for drawing simple electronic circuit schematics.
, compute the image of a vector by a linear or affine map.
, recognize the graph of fg from that of f and g, etc.
, establish a linear system according to a word problem.
, collection of training exercises on necessary and sufficient conditions.
OEF defining interval
, collection of exercises on the defining interval of a real function.
, collection of exercises on bounds and boundedness of sets of real numbers.
, collection of exercises on the RSA cryptosystem.
, recognize a Lissajous curve according to its equations, or vice versa.
, graphical search of Fourier development of a function.
, draw roots of a complex number, requires java.
, find the intersection of 2 lines, 2 planes, line and plane, etc.
Deductio inequalities 0
, exercises of interactive deduction on inequalities, basic deductions.
, recognize the graph of f(|x|) from that of f(x), etc.
, collection of elementary exercises on the factorization of integers.
Moving Comet Shoot
, exercice demandant de trouver la position d'un soleil connaissant le mouvement d'un satellite (nécessite java).
Prime congruence base
, find a prime for the base of a congruence relation.
OEF integrales with parameters
, collection of exercices on integrals depending on a parameter
, find a maximum of binary words respecting a given Hamming distance.
, find the best approximation of a parametric curve.
, shoot at the focus in the picture of a parabola.
, collection of exercises on entropy.
, collection of exercises on logic quantifiers.
, exercises on the bahavior of RC/RL circuit under sinusoidal signals.
Deductio simple inequalities
, exercises of interactive deduction on inequalities, simple formulas.
, parametrize a parametric curve so that it has a cusp.
, find two matrices whose product is a given matrix.
, search for primitive polynomials over a finite field.
OEF finite field
, collection of exercises on finite fields.
, generates raytraced smooth 3D surfaces from parametric equations.
, find the axis of a reflection given by matrix, or vice versa.
, programming exercises on string processing.
Graphic ODE phase graph
, recognize the phase graph of a given ODE.
, decode a message containing errors by an error correcting code.
, collection of exercises on codes of variable length.
, find a sequence from partial informations and via successive tests.
Deductio linear system
, exercises of interactive deduction on linear systems.
, find a distribution of probabilities so that a given code is optimal.
, find a code with given word lengths.
Prog sum of integers
, programming exercises on summing a list of integers.
, exercises of interactive deduction on (upper and lower) bounds of functions.
, parametrize a function to make it continue or differentiable on 2 points.
Introduction to Powers
, practising with powers
, programming exercises on the divisibility of integers.
H4 series and sequences
, Starting with series and sequences
Prog modular arithmetics
, programming exercises on modular arithmetics.
, Adding and Multiplication
Trigonometry: determine the function
, Use an applet to determine the correct arguments to a trigonometric function
, given a piecewise linear graph y=f(x), determine the graph of f(x)=f(y).
, use Newton-Raphson algorithm to compute inverse value of a function and also the derivative of the inverse function
Parabolic trough calculator
, determining the design parameters of small closed parabolic troughs
, direct access to most computing and graphing tools interfaced by WIMS.
Data General interest science topics
, audio collection used in an exercise module.
, audio collection used in an exercise module.
Special relativity and steps towards general relativity
, elementary relativity exercises. ((c) GPL and/or CC-BY-SA-3.0 or later).
OEF Tenses and conditionals
, exercises on present and past tenses, conditionals.
Suffixes and prefixes
, collection of exercises on word formation with suffix and prefix.
, exercises on linkwords for sequencing, contrast, cause, consequence.
English for economy and management (1)
, 3 articles, with a set of about 10 various exercises each (listening comprehension, vocabulary, preposition, passive voice...).
English for Economy and Management (02)
, 3 articles, with a set of about 10 different exercises each (listening comprehension, vocabulary, prepositions, passive voice...).
, document on linkwords.
Syntax of mathematical expressions
, how to read, to write or to draw an expression.
OEF Limit calculus with logarithms or exponentials
, practising with computational rules of limits and indeterminate forms.
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