• Warm-up exercises
  • Prime Numbers
  • Random Text Generation

• Complex Networks
  • Introduction to Networks
    • Small World Networks
    • Percolation
    • Network Structure, Growth, etc.

• Dynamics and Locomotion
  • Pendulum
    • Double Pendulum
  • Walker
  • Molecular Dynamics

• Maps and Dynamical Systems
  • Chaos and Lyapunov Exponents
  • Invariant Measures
  • Fractal Dimensions
  • Period Doubling Routes to Chaos

• Pattern Formation in Biological Systems
  • Cardiac Dynamics and Pattern Formation

• Systems Biology and the Dynamics of Cellular Networks
  • Overview of Reaction Networks
  • Stochastic Cells
  • Simple Repressilator
  • Stochastic and Deterministic Repressilators
  • Additional gene regulatory networks

• Computational Complexity
  • NP Completeness and Logical Satisfiability
  • A fair split? Number partitioning

• Randomness
  • Stocks, Volatility, and Diversification
  • Generating Random Walks
  • Biggest of Bunch: Gumbel distribution and extremal statistics
  • Random Matrix Theory
  • The Ising Model

• Voting
  • The 2008 U.S. Presidential Election

• Other
  • Jupiter! The Three Body Problem (code links under "How to Get Jupiter")
  • the Ising model simulator
  • the Wolff and Continuous Time Monte Carlo Ising model simulators
  • Hysteresis and Avalanches simulation
  and a link to the Self-Avoiding Random Walk simulation at BU.

Links

• Course Web Page
• The software contained in these pages is freely available under the terms of the Apache License, version 2.0.

Last modified: October 24, 2008