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Physics 4480 / 7680 / Astronomy 7690

Introduction

Introduction
Notebook Workflow
Logistics
Installing Julia

Quadratures -- Period of a Pendulum

Period of a Pendulum
Lab – Period of a Pendulum
Integration Follow-up

Solving Ordinary Differential Equations

Dynamics
LAB – Projectile Motion
Automatic Differentiation

Advanced Classical Mechanics

Symmetry Constraints
LAB – Chaos
Followup on Duffing Oscillator
Interactive Animation of Pendulum
Lab – Animating the Duffing Oscillator
Exploring Chaos with our Duffing Simulator

Dynamical Systems without differential equations

Billiards
LAB – Interacting Hard Spheres
Kinetic Theory of Gases

Stochastic Methods

Stochastic Methods
Stochastic approaches to integration
2D Ising Model
Correlation times
Cluster Algorithms
Lab – Wolff Algorithm
Phases and Phase Transitions

Index

By Erich Mueller

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