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Logistics and Overview

Tour of Python

Fundamentals

Floating Point Format
- Numerical Errors: Roundoff and Truncation
Differentiation
- In-class Example: Second Derivative
- Application: Reaction Rate Temperature Sensitivity
Integration
Root finding
Linear Algebra

Ordinary Differential Equations

Basic Methods for ODEs
Adaptive Timesteps
ODEs and Conservation
- Time Symmetric Integration
- Application: Stability of Planetary Systems
✱ Boundary Value Problems
- Application: Stellar Structure
✱ Stiff ODEs
More Applications
- Application: One-zone X-ray burst

Interlude Git and Github

Working with Data Samples

Partial Differential Equations

✱ Hydrodynamics

Machine Learning

Types of Machine Learning
Artificial Neural Network Basics
Hidden Layers
Diving Deeper into Machine Learning
Machine Learning in Astronomy
Application: Galaxy Classification
- Galaxy Classification with a Neural Net from Scratch
- Application: Galaxy Classification with Keras

Additional examples (for in-class)

Homework

Project

Index