Lectures:

In this page we'll post useful information about the lectures: source codes, data, references, etc...
Click here if you want to go to the BOTTOM.

Matlab:

• A practical introduction to Matlab (HTML [PDF], PDF)
• Matlab Help
• Matlab GUI for differential equations: dfield and pplane.

Maple:

• Maple Workshop notes

Lab:
GMCS-422 computer lab

Chap 11: Special functions:

• The Gamma function and the factorial function in Maple: gamma.mws
  
• MathWorld (Wolfrang) on: Jacobi Elliptic Functions.
• Matlab GUI for differential equations: dfield and pplane.
• The Elliptic integrals and Elliptic functions in Maple: elliptic.mws
  
• Solutions to the full pendulum equation: pend_ellip.m

Chap 7: Fourier Series:

• Fourier series applet: FFT.
• Fourier series in Maple (this is a really good one!): FourierSeries.mws.

Chap 12: Series solutions to Differential Equations:

• Series solutions: seriesDE.mws

Chap 13: Partial Differential Equations:

• Wave equation in 1D: wave_eq_movie.m
  
• Laplace equation in a semi-infinite rectangular domain: Laplace_sol.m
  
• Laplace equation in a finite rectangular domain: Laplace_rect_fin.m
  
• Laplace equation in a finite rectangular domain with superposition: Laplace_superpos.m
  
• Heat flow equation (diffusion equation) in an infinite slab: heat.m
  
• Diffusion equation: numerical integration in 1D: diffusion_PDE.m, wave_plotsurf.m
  
• Wave equation: vibration of a string: vibrate.m
  
• Steady state temperature on a semi-infinite cylinder: Bessel functions: cylinder.m
  
• Bessel modes:: bessel_modes.m, besselzero.m.
  
  
  
• Vibrational modes of a circular membrane: membrane.mws
  
• Steady state temperature in a sphere (Legendre functions): sphere.m
  

Pattern formation in one-species 2D reaction diffusion system:

• Solving the PDE with finite differences: PDE_2D.m.
• Auxiliary files: reaction.m, rk4_2d.m, diff2d_fix.m, plotU.m

How the leopard got its spots?

• Modes for a cylindrical domain: tail.m.

• PDE reaction diffusion equation model for pattern formation of spots/stripesw in the coat on embyonic mammals:
  • PDE solver: PDE_2D_2pop.m.
  • Auxiliary files: reaction_u.m, reaction_v.m, rk4_2d_noflux_periodic.m, diff2d_noflux_periodic.m, plotU.m
    
    
    
    
    
• Conic tail geometry:
  • PDE solver: PDE_conic.m.
  • Auxiliary files: reaction_u.m, reaction_v.m, rk4_2d_conic.m, diff2d_conic.m, plotU.m