350 Handouts and m-files

• Getting Started in MATLAB (pdf) (some very basic info to get you off the ground)
• Crash course in MATLAB (Version 7) (pdf) (by Toby Driscoll)
• A Practical Introduction to Matlab (Version 5) (html version) (by Mark Gockenbach) or Postscript version
• For more introductory material and tutorials see the main course page
• Slides for lectures
  Chapter 1 (typo fixed April 16)
  Chapter 2 (updated Feb.13)
  Chapter 3 (updated Feb.27)
  Chapter 3 without movie at end (added Feb.26)
  Chapter 4 (typo fixed March 10)
  Chapter 5 (typo fixed March 26)
  Chapter 6
  Chapter 7 (updated April 30)
  Chapter 8 (updated May 5)
• MATLAB scripts for the first skydive model:
  • SkydiveDemo.m
  • Skydive.m
  • Euler.m
• MATLAB scripts for the second skydive model (also uses Euler.m):
  • Skydive2Demo.m
  • Skydive2.m
• MATLAB scripts for the predator-prey model:
  • LynxHareDemo.m
  • LynxHare.m
• Maple worksheet on Taylor approximation: Taylor.mws
• Minimal modification of Moler's floatgui.m: Myfloatgui.m
• MATLAB script to demonstrate roundoff error: RoundoffDemo.m
• MATLAB script to illustrate loss of significant digits: LossOfSignificanceDemo.m
• Introductory Matlab scripts
  • basic_definitions.m (script that calls all other files. Note, however, that each file below can also be executed separately.)
  • matrix_vector.m (definition of matrices and vectors)
  • arithmetic.m (simple arithmetic with matrices and vectors)
  • lin_sys.m (solving linear systems)
  • submatrices.m (definition of submatrices)
  • statistics.m (timing in Matlab)
  • loops1.m (for-loops, and why to avoid them)
  • loops2.m (more on for-loops)
  • plotting.m (simple plotting)
  • efficiency.m (some tricks for efficient coding)
  • user_defined_functions.m (how to use user-defined functions)
  • circle.m (a user-defined function)
  • inline_functions.m (how to use inline functions)
  • anonymous_functions.m (how to use anonymous functions)
  • function_functions.m (how to use anonymous functions)
  • basics.zip (.zip file containing all of the files above)
• MATLAB script to illustrate use of inverse for division: division.m
• Maple worksheet on partial pivoting: PartialPivoting.mws
• MATLAB scripts from Numerical Computing with MATLAB (NCM) to illustrate the solution of linear systems:
  bslashtx.m
  lutx.m
• MATLAB scripts for the solution of tridiagonal linear systems:
  tridisolve.m (from NCM)
  TridisolveDemo.m (a little script that calls tridisolve)
• MATLAB scripts for pagerank calculations:
  pagerank.m (from NCM)
  TinyWeb.m (a little script that does a simple pagerank calculation and also calls pagerank)
• MATLAB scripts for polynomial interpolation:
  interpgui.m (from NCM)
  InterpolationDemo.m (a little script that calls interpgui)
  polyinterp.m (from NCM)
  PolyinterpDemo.m (a little script that calls polyinterp)
• MATLAB script for piecewise cubic Hermite interpolation:
  PchipDemo.m (a little script that calls the built-in pchip function)
• MATLAB scripts for cubic spline interpolation:
  SplineDemo.m (a little script that calls the built-in spline function)
  splinetx_natural.m (a modification of NCM's splinetx.m for cubic natural splines)
• Maplet for the proof of the Mairhuber-Curtis theorem:
  MairhuberCurtis.maplet (to be run with the Maplet viewer)
  MairhuberCurtis.mws (Maple source code)
• MATLAB scripts for the bisection method:
  BisectDemo.m (a little script that calls bisect.m)
  bisect.m (bisection method as explained in NCM)
• MATLAB scripts for Newton's method:
  NewtonDemo.m (a little script that calls newton.m)
  newton.m (Newton's method as explained in NCM)
• Maple worksheet for graphical illustration of Newton's method:
  NewtonDemo.mws
• MATLAB scripts for the secant method:
  SecantDemo.m (a little script that calls secant.m)
  secant.m (secant method as explained in NCM)
• Maple worksheet for graphical illustration of secant method:
  SecantDemo.mws
• MATLAB scripts for the inverse quadratic interpolation method:
  IQIDemo.m (a little script that calls iqi.m)
  iqi.m (inverse quadratic interpolation method as explained in NCM)
• MATLAB scripts for zero finding:
  FzeroDemo.m (a little script that calls fzerotx.m)
  fzerotx.m (zero finding routine from NCM)
• MATLAB scripts for multivariate Newton's method:
  NewtonmvDemo.m (a little script that calls newtonmv.m)
  newtonmv.m (multivariate Newton's method)
  missile_f.m (function for example 1)
  missile_j.m (Jacobian for example 1)
  circhyp_f.m (function for example 2)
  circhyp_j.m (Jacobian for example 2)
• MATLAB scripts for function minimization:
  FminDemo.m (a little script that calls fmintx.m)
  fmintx.m (minimization routine from NCM)
• MATLAB scripts for least squares fitting:
  LSQquad.m (script that shows it isn't good to solve the normal equations)
  LSQquadOrtho.m (script that shows orthogonal basis does better)
  PolyfitDemo.m (script that calls built-in polyfit and polyval)
  censusgui.m (from NCM, illustrates different curve fitting methods)
  LSQquadQR.m (script that shows how to use QR decomposition)
  LSQquadSVD.m (script that shows how to use SVD)
  SVD_movie.m (script that shows how to use SVD for image compression)
  imagesvd.m (similar function from NCM)
• Maple worksheet for various basic numerical integration methods:
  Integration.mw
• MATLAB scripts for numerical integration:
  QuadDemo.m (script that calls NCM file quadtx and also uses besselintegrand.m)
  besselintegrand.m (function with integrand called by QuadDemo)
  quadtx.m (from NCM, textbook version of built-in function quad)
  quadgui.m (from NCM, illustrates adaptive quadrature)
• Maple worksheet for various basic numerical differentiation methods:
  Differentiation.mw (updated April 9)
• MATLAB scripts to illustrate Euler's method:
  • EulerDemo350.m (calls Euler.m)
  • Euler.m
• Maple worksheet for Euler's method:
  EulerDemo.mw
• MATLAB scripts for other single step methods:
  • RK2Demo.m (calls RK2.m)
  • RK2.m
  • RK4Demo.m (calls RK4.m)
  • RK4.m
  • EulerRKConvergenceDemo.m (calls Euler.m, RK2.m and RK4.m)
• MATLAB scripts for the twobody problem:
  • TwobodyDemo.m
  • twobody.m
• Maple worksheet for match lighting problem:
  MatchDemo.mw
• MATLAB script for match lighting problem:
  • MatchDemo.m (updated April 30)
  • flame.m animated solution from NCM
• MATLAB scripts for the second skydive model with event handling:
  • Skydive3Demo.m
  • Skydive3.m
  • Skydive3Event.m
• MATLAB scripts for van der Pol problem:
  VanderPolDemo.m
  VanderPolPlots.m
• MATLAB files to illustrate the FFT:
  fftmatrix.m (from NCM)
  touchtone.m (from NCM, also requires membrane.mat)
  fftgui.m (from NCM)
  ffttx.m (from NCM)
  dftfilter.m (following Sauer's "Numerical Analysis")
  SpectralDiffFFTDemo.m (following Trefethen's "Spectral Methods with MATLAB")