interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity wimshomeabcd 4.01a

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Université de Nice

CSE Institute

East China Normal University

Université de la Méditerranée

University of Saint Francis

Université Paris-Sud

Università di Milano--Bicocca

Rectorat de Nice

Eval-WIMS

Leiden University

OFSET (Organization for Free Software in Education and Teaching)

Caen University

linex.org

Centro del Profesorado Marbella-Coín

IES Baix Penedès. El Vendrell

WIMS Home Site: http://wims.unice.fr/ Source codes

Function calculator, for one-variable real functions: limits, integrals, roots...

Shifting puzzle, recover a jigsaw puzzle by shifting rows or columns.

Matrix calculator, computes determinant, inverse, eigenvectors,...

Linear solver, solves your linear systems, including systems with parameters.

Matrix multiplier, input two matrices and get their product (or other formula).

Tracés animés, plot zooming, deforming and rotating curves and surfaces.

Factoris, factors integers and polynomials.

Base converter, converts a number between different numbering systems, arbitrary precision.

Vector calculator, linear dependence, orthogonal complement, visualisation, products...

Primes, searching for primes in different ways.

Bar game, simple step game, play against the server.

Wcalc, multi-purpose single-step calculator usable in popup mode.

Graphic functions, recognize the graph of f(-x) from that of f(x), etc.

Decrypt, recover a crypted text.

OEF calculations, collection of exercices on calculation (fractions, signed numbers).

Numerical calculator, with modifiable history; real/complex or positive characteristics.

Graphic derivative, recognize the graph of the derivative of a function.

Bezout, computes euclidean division, gcd, lcm, Bezout relation.

OEF fractions, collection of exercises on fractions.

Coincidence-Polynomial, find a polynomial according to its curve.

Polyray, visualize implicit algebraic surfaces by ray tracing.

Gravity shoot, click on the gravity center of a given configuration.

Visual Gauss, step by step Gauss elimination (for matrix or system).

Rotation shoot, click on the center of a rotation 2D.

Arithmetic tables, arithmetic training exercise-game with highly variable levels.

Complex shoot, locate a complex number by clicking on the complex plane.

Elliptic billiards, bouncing on a billiard table of elliptic form.

Goldbach, write an even integer as sum of two primes.

Quizz derivative, elementary questions on derivatives.

Triangular shoot, click on one of the centers of a triangle.

Magic rectangles, game based on a variation of magic squares.

Q-Puzzle, puzzle basé sur transformation affine sur un corps fini.

Contfrac, expand a real number into continued fraction.

OEF powers, collection of exercices on calculation of powers

Line choice, recognize a line, by equation or by graph.

Sigma, computes sums of series or finite sums of various kinds.

OEF rectangles, collection of exercises on rectangles.

Graphic inverse, recognize the graph of an inverse function.

Sequence plot, plot a numerical sequence or series.

OEF proportionality, collection of exercises on proportionality.

Additive figures, place numbers in geometric figures according to conditions on sums.

Quizz matrices, elementary questions on matrices.

OEF matrices, collection of exercises on matrices.

Correspondance, visual exercise on the definition of a map.

OEF derivatives, collection of exercises on derivatives of functions of one variable.

OEF complex, collection of exercises on complex numbers.

Derivative draw, given the graph of a function, draw that of the derivative. Requires java.

OEF Linsys 2x2, collection of exercises on elementary linear systems 2x2.

Quadratic choice, recognize the graph of a quadratic polynomial.

OEF clock, collection of exercises on clock recognition.

Homothety shoot, click on the center of an homothety 2D.

Bases, find a basis of a vector subspace under various definitions.

Graphic complex inequalities, recognize a region of the complex plane described by inequalities.

Vector shoot, click on a linear combination of 2D vectors.

Choice of ellipses, recognize an ellipse according to its equation, or vice versa.

Direct exec, direct access to most computing and graphing tools interfaced by WIMS.

Pathfind, link points by a shortest path.

Animated sequences, animated plot of a sequence (series) of functions.

Quizz complex, elementary questions on complex numbers.

OEF polynomial, collection of exercises on polynomials of one variable (real or complex coefficients).

Basis choice, find a basis of a vector subspace within given vectors.

Graphic addition, recognize the graph of f(x)+g(x) from that of f and g, etc.

Wfind, find words by letter patterns.

Interactive integration, solve an integration step by step.

Cross multiplication, find a matrix not commuting with a given one.

Coincidence sinus, find a sinusoidal function according to its graph.

OEF periodic table, exercises for memorising the periodic table of elements.

Tangent 2D, find tangent / normal line of a plane curve.

Coincidence Freehand, find the best possible approximation of a given curve.

OEF definite integral, collection of exercises on definite integrals of one variable (theory and computation).

Circular draw, draw the circumscribed circle of a triangle, etc. Requires java.

Parmsys, analyse a linear system with parameters, using Gauss elimination.

Parametric points, plots a parametric curve with moving point.

Graphic subsets, recognize a graphically described subset.

OEF inverse, collection of exercises on the inverse function of a real bijective function.

OEF orthogonal distance, collection of exercises on orthogonal projection and distance.

Graphic integral, recognize the graph of the integral of a function.

Partial equation, fill-in an equation to make it correct, drag-and-drop style exercises.

OEF sequences, collection of exercises on infinite sequences.

Inverse draw, draw an inverse function, requires java.

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

Segfrac, 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.

Morse Training, code/decode a text in Morse code.

Quizz integration, elementary questions on integration.

OEF several variables functions, collection of exercises on several variables functions.

Two squares, decompose an integer into sums of two squares.

Taylor, algebraic manipulations of Taylor expansions.

Quizz vector spaces, elementary questions on vector spaces.

Accordance, find a polynomial according to its values.

Epsilon, on the definition of continuity: given epsilon, find delta.

Vision 4D, plots hypersurfaces etc. in space-time of dimension 4.

Linear system dialog, ask questions to get information in order to solve linear systems.

Order arrangement, arrange given numbers according to their order.

OEF derivative, practising with differentiation

OEF triangles, collection of exercises on triangles.

Linear shoot, click on the image of a point by a linear transformation.

OEF vector space definition, collection of exercices on the definition of vector spaces.

SQRT shoot, 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.

MVT calc, a computing exercise on Mean Value Theorem.

OEF determinant, collection of exercises on the determinant of a square matrix.

Basis change, 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, draw an equation in the complex plane, requires java.

Primitive draw, given the graph of a function, draw that of an anti-derivative. Requires java.

Min-Max, diverse exercises on minima / maxima.

Rank filler, complete a matrix for a minimal rank.

Matrix dialog, ask questions to get information in order to solve problems on matrices.

OEF vector subspaces, collection of exercises on vector subspaces.

Tangent parameters, find the curve having a given tangent.

Graphic ODE, graphically recognize solution of a linear ordinary differential equation.

Polynomial sweep, graphs and roots of a polynomial, with animated deformation.

PermGroup, calculator of permutation groups based on GAP: symmetric, alternating, transitive, primitive, etc.

OEF ODE, collection of exercises on elementary ordinary differential equations.

Derivative dialog, ask questions to get information in order to compute derivatives.

OEF gcd, collection of exercises on gcd and lcm of integers.

OEF Taylor, collection of exercises on Taylor expansions of real functions.

Coincidence-Dev, graphically find the Taylor expansion of a function.

OEF linear systems, collection of exercises on linear systems.

Parametric choice, from a parametric curve, recognize values or derivatives of functions. Animated graphics.

OEF differentiability, collection of exercises on the differentiability of functions of one real variable.

Genspace, does a given set of vectors generate the whole vector space?

Parametric compose, recognize a parametric curve by the graphs of its coordinate functions.

Inequality zone, determine an inequality for variables in a given zone.

OEF arccos, collection of exercises on inverse trigonometric functions.

Equaffine, 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.

Decomp, decompose a composed function.

Graphic inequalities 2D, recognize a plane region described by inequalities.

OEF double integrals, collection of exercises on double integrals.

Joint, parametrize a function to make it differentiable to a required order.

Huffman, find an optimal encoding in variable length codes.

OEF euro, collection of exercises on the arithmetic of euro.

Finite field calculator, computes elements in a finite field.

OEF permutation, collection of exercises on permutation.

Triangmult, find two triangular matrices whose product is a given square matrix.

Affine fixed, find the fixed point of an affine transformation.

Extend-subspace, extend a vector subspace to a required dimension.

OEF ohm, exercises on ohm's law and serial and parallel connections.

OEF combinatorics, collection of (numerical) exercises on combinatorics.

MatEq, solve matrix equations.

Quizz determinant, elementary questions on the determinant of a matrix.

Symmetric split, write a given matrix as sum of symmetric and antisymmetric matrices.

Transfinite arithmetic, transformation in Z/nZ by addition and multiplication.

Coinc_EqDif, graphical exercise about differential equations.

Coincidence Transformation, transform a given 2D shape into another given one.

Simu-bubble, manually simulate a bubble sort.

Graphical decrypt, decrypt a picture crypted by a psudo-random sequence.

Graphical convergence, determine the limit of a recursive sequence according to the graph of the function.

Coincidence Addition, find the linear combination of two functions by their graphs.

OEF continuity, collection of exercises ont the continuity of functions of one real variable.

OEF cartesian line 2D, collection of exercises on plane lines and their equations.

OEF vectors 2D, collection of exercises on 2D vectors.

Limited derivatives, find the bound of a function having bounded derivative.

Flatten, parametrize a function to make it infinitesimal at a point.

Scenario of inequalities, discover errors in an argument on inequalities.

OEF countries, exercises on countries in the world: national flags, maps, etc.

Roottest, find the root of a function by successive tests.

OEF finite map, collection of exercises on maps between finite sets.

OEF proba, collection of exercises on elementary probability.

OEF gradient, collection of exercises on the gradient of 2 variables functions.

Polynomial order, computes the order of an irreducible polynomial over a finite field **F**_{p}.

Parametric draw, draw a parametric curve from graphs of coordinate functions, requires java.

Coincidence Polyroots, find a polynomial according to the positions of its roots.

Circuit draw, tool for drawing simple electronic circuit schematics.

Linear image, compute the image of a vector by a linear or affine map.

Graphic multiplication, recognize the graph of f(x)g(x) from that of f and g, etc.

Linsys find, establish a linear system according to a word problem.

OEF iff, collection of training exercises on necessary and sufficient conditions.

OEF defining interval, collection of exercises on the defining interval of a real function.

OEF bounds, collection of exercises on bounds and boundedness of sets of real numbers.

OEF RSA, collection of exercises on the RSA cryptosystem.

Lissajous choice, recognize a Lissajous curve according to its equations, or vice versa.

Fourier development, graphical search of Fourier development of a function.

SQRT draw, draw roots of a complex number, requires java.

Lintersect, find the intersection of 2 lines, 2 planes, line and plane, etc.

Deductio inequalities 0, exercises of interactive deduction on inequalities, basic deductions.

Graphic abs, recognize the graph of f(|x|) from that of f(x), etc.

OEF factoris, collection of elementary exercises on the factorization of integers.

Moving Comet Shoot, shoot the sun according to the motion of a comet (needs 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

Hamming complement, Find a maximum of binary words respecting a given Hamming distance.

Coincidence Param, find the best approximation of a parametric curve.

Parafocus shooting, shoot at the focus in the picture of a parabola

OEF Entropy, collection of exercises on entropy.

OEF forall, collection of exercises on logic quantifiers.

OEF RC, exercises on the bahavior of RC/RL circuit under sinusoidal signals.

Deductio simple inequalities, exercises of interactive deduction on inequalities, simple formulas.

Parametric cusp, parametrize a parametric curve so that it has a cusp.

Rankmult, find two matrices whose product is a given matrix.

Primpoly, search for primitive polynomials over a finite field.

OEF finite field, collection of exercises on finite fields.

Ray 3D, generates raytraced smooth 3D surfaces from parametric equations.

Reflaxis, find the axis of a reflection given by matrix, or vice versa.

Prog string, programming exercises on string processing.

Graphic ODE phase graph, recognize the phase graph of a given ODE.

Correcode, decode a message containing errors by an error correcting code.

OEF Varicode, collection of exercises on codes of variable length.

Coincidence sequence, find a sequence from partial informations and via successive tests.

Deductio linear system, exercises of interactive deduction on linear systems.

Inverse Huffman, find a distribution of probabilities so that a given code is optimal.

Varicode, find a code with given word lengths.

Prog sum of integers, programming exercises on summing a list of integers.

Deductio bounds, exercises of interactive deduction on (upper and lower) bounds of functions.

Joint II, parametrize a function to make it continue or differentiable on 2 points.

Introduction to Powers, practising with powers

Prog divisibility, programming exercises on the divisibility of integers.

H4 series and sequences, Starting with series and sequences

Prog modular arithmetics, programming exercises on modular arithmetics.

Counting, Adding and Multiplication

Trigonometry: determine the function, Use an applet to determine the correct arguments to a trigonometric function

Graph-Relation, Given a piecewise linear graph y=f(x), determine the graph of f(x)=f(y)

Newton-Inverse, 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

Data General interest science topics, audio collection used in an exercise module.

Data Debating, 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.

Linkwords, exercises on linkwords for sequencing, contrast, cause, consequence.

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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