• 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
  • Stochastic Cells
  • The Repressilator
  • 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

Links

• Course Web Page

Last modified: August 26, 2008