Titlebook: MacMath 9.2; A Dynamical Systems John H. Hubbard,Beverly H. West Book 1993Latest edition Springer Science+Business Media New York 1993 Exc

江湖郎中

DiffEqThis program prints a slope field and draws solutions in the .-plane for a differential equation of the form

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Numerical MethodsThis program calculates the numerical solution of the differential equation of the form . using any of the three numerical methods: Euler, Midpoint Euler, or Runge- Kutta. In order to analyze the error in a given method, the program also calculates the error and “order”, and can graph the error as a function of the step size.

懶惰人民

Notorious

Tortuous

Handedness

CascadeC. shows what happens with the iteration of real quadratic polynomials of the form .. + ., as c takes on different values. A special feature of the C. program is its ability to switch back and forth into an iteration routine similar to the one in A..

Measured

2D IterationsFor a system of two equations of the form:. and a given seed or initial point (..,..), this program plots the orbit under iteration. That is, it plots the sequence of points (..,..), (..,..), (..,..), (..,..),…, where

Pandemic

JacobiDrawThis program demonstrates Jacobi’s method for the diagonalization of a symmetric 3x3 matrix, that is, finding its eigenvalues. It does this both algebraically and geometrically, the latter by representing the matrix with a quadric surface and animating the effects of diagonalization on the surface.

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