Copyright 2018 by Timothy Reluga

Mason-Dixon, Watt's linkage, Lindenmayer Systems, Patterson's misclosure, Cassini-Newton debate, Lotka-Volterra theory, stable distributions, Poisson process, Erlang's B formula, Zipf's Law, Katherine Johnson, two-body problem, catenary, percolation, Wa-Tor, Conway's game of life, Budyko’s climate model, Karman vortex street

posted version

Course web page

# Lectures

- Preface

## Algebra and Geometry

- Fermi models
- Geometry
- Shape of the earth
- Least squares
- Scaling and exponential laws
- Dimensional analysis
- Complex numbers
- Symmetry and fractals

## Mechanics

- Differential equations
- Geometric optics
- Cannons and Space ships
- The two-body problem
- Flight

## Stochastic Simulation

- Pendulums and hanging chains
- Simulations
- Distributions
- Horse kicks and Height
- Markov chains
- Telephone Systems

## Reactions

- Pharmacokinetics
- Mass action
- Fruit mites and Zombies
- Optimization
- Metaphors and models

## Space

- Zipf and preferential attachment
- Percolation
- Lattices for space (2 days)
- Heat and the Age of the earth
- Waves, telegraphs, and telephones
- Fluids

## Miscellaneous

- Climate and snowball earth (3 days)
- Option pricing
- Modeling in-host Hepatitis C infection
- Decision processes
- Difference equations and chaos

# Appendices

- Preceding modelling textbooks
- Introduction to python programming
- Calculating with python
- Functional calculus
- Probability laws
- Project ideas