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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
Two Point 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

Homework

Index