Maple Worksheets: Math 353

Worksheets
Linear Systems
Linear systems in 2 dimensions: numerical plot
Linear systems in 3 dimensions: numerical plot
Linear systems: eigenvalue method: (real eigenvalues)
Numerical Methods
Numerical solutions for scalar equation: Euler, Improved Euler, Runge-Kutta
Numerical solutions for two dimensional system of equation: Euler, Improved Euler, Runge-Kutta
One dimensional plots
Plot of one dimensional solutions
Two dimensional plots
Phase portrait for nonlinear system in the plane
Phase portrait for competitive system (coexistence)
Phase portrait for Lienard system: contains (t,x)-plot
Three dimensional plots
Phase portrait for Lorenz system
Phase portrait for 3 dimensional system (Rossler system)
Poincare map for the forced duffing equation