Hands-on Lab

Unix

• Getting Started With Linux
• UNIX Tutorial

Matlab

Hands-on tutorials by the Instructor

• Getting Started
• Autocorrelation
• Fast Fourier Transform
• Sparse Matrices

Hands-on tutorials by MathWorks

• MATLAB Student Center
• Rapid Code Iteration Using Cells in Matlab Editor
• xcorr function for Autocorrelation Analysis in Project 2

LaTeX

Templates for project reports

• PHYS660 template and the embedded PDF figure
• Math into LaTeX: How to Beautify Equations (and the embedded PDF figure)

LaTeX packages

• MikTeX (free LaTeX implementation for Windows)
• Texmaker (free TeX Editor for Windows, Linux, or Mac OS)

Mathematica

Hands-on tutorials by the Instructor

• Getting Started
• Differential Equations
• Linear Algebra

Hands on tutorials by Wolfram Research

• Hands-on start to Mathematica

Java Applets

Dissipative Chaos

• Duffing equation attractor
• Damped driven pendulum
• Poincare section for damped driven pendulum
• Lorentz attractor

Conservative Chaos

• Chaos in three-body problem
• Poincare section of double pendulum
• Extensible pendulum
• Standard area preserving map

Transient Conservative Chaos

• Chaotic scattering

Fractals

• Fractal coastlines
• Diffusion Limited aggregation
• Mandelbrot set
• Julia set

Fourier Analysis

• Vibrational normal modes of coupled oscillators
• Vibrational normal modes (phonons) in solids
• Vibrational normal modes of organic molecules
• Fourier series
• Fourier transform
• 1D Fast Fourier Transform

Nonlinear Physics and Solitons

• Toda lattice soliton
• KdV soliton
• FPU paradox

Statistical Physics

• Ising model
• Monte Carlo estimatation for $\pi$
• Brownian motion
• Random walk in 1D
• Random walk in 2D
• Self-avoiding random walk
• Percolation
• Molecular dynamics

Quantum Mechanics

• The two slit experiment and the collapse of the wavefunction
• Detector in two slit experiment
• Quantum Scattering of Wave Packet
• Visual Quantum Mechanics
• Quantum Mechanics Applets

Complex Systems

• Cellular automata
• Game of life
• BTW sandpile CAM: A model of self-organized criticality
• BTW sandpile CAM simulation with 3D visualization by DPA student John Meyer
• Forest fire: A model of self-organized criticality
• Hopfield Neural Network
• Neural networks with Java
• Image compression by neural networks
• Spin glasses
• Genetic algorithms