[Derivates] [Integration] [Differential equations] [Maximization and minimization]

- Visual Calculus
- Tutorial in basic calculus, using some java applets.

(University of Tennessee).

- Derivative
- Computes the derivate of any order of an expression.

(Mathserv. CGI) - Computing the derivate implicitly
- Takes an implicit equation of x and y, and solves it with respect to
y, and then derivates to get dy/dx.

(Mathserv. CGI) - The little deriver
- Computes the derivate of an expression with regard to any variable.
- Derivative definition
- Shows a function and its derivate in a point.

(Copyright California State University. Source code avaliable.) - Derivate
- Computes the derivate of any order of a function.

(CAIN (Computer Algebra for Newcomers). CGI-script.)

- Integral
- Solves a definite or indefinite integral.

(CAIN (Computer Algebra for Newcomers), CGI-script.) - The INTEGRATOR
- Computes indefinite integrals.

(Wolfram Researc, Inc. CGI-script) - Define Integral of a Function
- Computes the value of a definite integral.

(MathServ. CGI-script) - Numerical Integration
- Integrating Experimental Data.

(The Geometry Center Calculus Development Team.CGI-script.) - Integration Assistan
- Guides you through the process of integration of any expression.

(MathServ.CGI-Script) - Antidifferentiation
- Computes the antiderivate of a function.

(MathServ. CGI-script.)

- Numerical integration rules
- Demonstrates various rules for integrating a function numerically.
- Rieman Sums
- Computes the Riemann sum of any function given endpoints and
partition.

(MathServ. CGI) - Numerical Integration
- Computes the integral over an interval with a given partition.

(MathServ. CGI-script) - Newton cotes Rules
- Computes any integral numerically using one of four avaliable methods.

(Copyright Jun Ni. Java Script.) - Gauss Rules
- Computes integrals on Hermite or Chebyshev's form.

(Copyright Jun Ni. Java Script) - Simpson's Numerical Integration
- Computes numerical integration using Simpson's rule.

(Java script.) - Numerical Integration
- Integrates a polynomial using either trapezodial method, Simpson's rule or Romberg.

(Source code avaliable.)

- Volume of a solid of revolution
- Visualises how to compute the volume of a solid of revolution.

(International Education Software) - Integrals
- Computes the integral under any function. Border can be set both graphically and by numbers.
- Numerical Integration Simulation
- Shows the graphical interpretation of some numerical methods for integration. Performs on 12 functions.

(Introduction to Scientific Programming.) - Integration definition
- Computes the Riemann sum for an integral and shows the graphical interpretation.

(Copyright California State University. Source code avaliable.)

- Direction Field of a First Order ODE
- Draws a tangent field for an ordinary differential equation on the form dy/dx=f(x,y).

(MathServ. CGI) - Runge-Kutta
- Draws a graph over one of the following equations:
- y = f(x)
- dy/dx = f(x, y)
- d
^{2}y/dx^{2}= f(x, y, dy/dx)

(Source code avaliable) - Differential equation phase plotter
- Draws a vector map and/or tangent lines for a diffential equation where you specify y' and x'.

- Find a Particular Solution Using Variation of Parameters
- Computes a particular solution to an ODE given two linearly independent solutions to the homogenous equation.

(MathServ. CGI-script) - Solving a Linear Ordinary Differential Equation
- Solves linear ODE's written on the form: dy/dx + f(x) y = g(x).

(MathServ. CGI) - Solving an Exact Ordinary Differential Equation
- Solves exact ODE's written on the form: f(x,y) dx + g(x,y) dy = 0

(MathServ. CGI) - Solving an Homogeneous Ordinary Differential Equation
- Solves homogenous ODE's written on the form: dy/dx = F(y/x).

(MathServ. CGI) - Second-Order DE
- Solves second order initial value problems giving a numerical output.
- Solving a Bernoulli ODE
- Solves a Bernoulli equation on the form : dy/dx = P(x) y + Q(x) y
^{r}.

(MathServ. CGI) - Solving a Special form
- Solves a special kind of DE's that is on the form dy/dx = H(u), where H(u) = (ax + by+ c)/(dx + ey + f).

(MathServ. CGI) - Reduction of order
- Finds a second solution to a second order homogenous ODE when one solution is given.

(MathServ. CGI) - Solving an ODE in Standard Form
- Solves an ODE on the form : dy/dx = f(x, y).

(MathServ. CGI-Script) - Solution of a Second Order Cauchy-Euler ODE
- Given the coefficients of the Cauchy-Euler equation, the general solution is calculated.

(MathServ. CGI-script) - Solving a Separable Ordinary Differential Equation
- Solves an equation on the form : f(x) dx + g(y) dy = 0.

(MathServ. GGI-Script.) - Lake pollution solutions
- Various solutions to the equation :
C'(t) V = Q C
_{in}(t) - Q C(t) - k C(t) V ,

which governs the concentration of contamination in a sea. - Direction Field Java Applet
- Draws a direction field and its tangent lines based on an
differential equation.
- Euler
- Calculates the Euler coefficients of the differential equation
y' = x + y with initial conditions, and compares them to the correct
values.
- Second-Order DE
- Graphs the solution to a second order DE on the form : y'' = f(t, y, y'), and given initial values.
- First-Order DE
- Calculates the coefficients for a first order DE on the form : dy/dx = f(x,y).
- First-Order DE
- Draws the solution to a first order DE on the form : dy/dx = f(x,y).
- Phaseplot
- Makes a phaseplot of an initial-value problem on the form : y'' = f(t, y, y').
- Heat
- Draws the solution to the heat equation given initial conditions.
- Timesect
- Plots discrete points from the phase plot to an equation on the form : y'' = f(t, y, y').
- Boundary problem
- Plots the solution of the equation : y'' = f(x, y, y') with y(x
_{0}) = y_{0}and y(x_{1}) = y_{1}. - Direction field
- Draws the direction field for a differential equation on the form : y' = f(x, y), and draws a solution graph upon clicking in the field.
- Euler coefficents
- Diplays the Euler coefficients for a equation on the form : y' = f(x, y), as well as the coefficients for the exact solution.

- Simplex Java Applet
- Maximizes or minimizes a function under a number of constraints, and
shows the process.

(Optimization Tehcnology center) - Genetic algorithm demo
- Maximizes a given function by the genetic algorithm method.
- Minimization
- Minimizes a linear function under any number of linear constraints.

(CGI-script) - Optimization
- Optimizes graphically a linear function under three constraints.

( Chris Jones School of Business Administration University of Washington)