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 Geodesy

- Fermi models
- Trigonometry
- Coordinate Geometry
- Approximation
- Least squares
- Complex numbers

## Power Laws

- Power laws and exponential laws
- Dimensional analysis
- Symmetry and fractals
- Zipf and preferential attachment

## Reactions

- Differential equations
- Pharmacokinetics
- Mass action
- Fruit mites and Zombies
- Metaphors and models

## Mechanics

- Geometric optics
- Newton and the cannon
- Flight
- Pendulums and hanging chains
- The two-body problem

## Stochastic Simulation

- Distributions
- Horse kicks and Height
- Shooting stars
- Telephone Systems (3 days)
- Markov chains
- Simulations

## Space

- 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
- Optimization
- Difference equations and chaos

# Appendices

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