Carlos Mathstools Apps

This app works with functions of one and two variables. IntegralCalculator is designed for students and teachers in Maths,engineering, phisycs and sciences in general. Application canresolve following maths operations: - Symbolic primitivecalculations. - Integration. - Symbolic derivate calculation. -Plotting 2D and 3D functions. - Zeros and inflection pointscalculation. - Numerical integration approximations. - FourierSeries numeric calculation. - Limit Calculation. - Symbolicequations solver x and y variables. All of these calculations frommathstools.com libraries. Internet access required!!.

Matrix calculations: Determinant, Jordan form, system equationsolver, and more.

Integral, derivate, function plotter, limit calculation

Runge-Kutta Methods is a powerful application to help solvinginnumerical intitial value problems for differential equationsanddifferential equations systems. Runge-Kutta Methods cansolveinitial value problems in Ordinary Differential Equationssystemsup to order 6. Also, Runge-Kutta Methods, calculates the An, Bncoefficients for Fourier Series representation. You can selectover12 integration methods including Runge-Kutta including FehlbergandDormand and Prince methods. From most simply Euler Method (order1)to New65 (order 6). Program opens with a default initialvalueproblem: y' = y , y(0)= 1 For integration interval: [0, 1]wichadmits the inmediate and obvous solutiony=exp(x).*********************** INPUTS *************************SelectSimple ODE Solver mode if your problem has only an equationorSystem ODEs mode if you has a System or Ordinary equations.1)Enter the initial value for the independent variable, x0. 2)Enterthe final value for the independent variable, xn. 3) Enter thestepsize for the method, h. 4) Enter the given initial value oftheindependent variable y0. 5) Select from the combo theintegrationmethod (default Euler method is selected). 6) Enter thefunctionf(x, y) of your problem, for example. if f(x,y) = e2xy-> entere^(2*x*y) if f(x,y) = sin e2xy -> entersin(e^(2*x*y)) 6) Enterexact solution if known for the estimationof statisticalRunge-Kutta methods error. **********************NOTE THAT*********************** The calculations using numericalmethodsare subject to two kind of errors 1)Truncation mehod error2)Errordue to limitation of computer arithmetic For moreinformation andquestions questions please visit us inwww.mathstools.com This apprequires interner connection!! Enjoyit!!