Ep. 16: Calc Applications: Taylor Expansion

# Show Description
We are going to live-code some helper functions in the Rust programming language to enable exploring calculus concepts.

## Infrastructure
Repository: https://notabug.org/c0digam0s/calc-explorer
Sound:
– Music provided by Lofi Girl
– Listen: bit.ly/lofigirI-playlists

## This Episode
1. Derivative Notation
2. Review: Taylor's Theorem
3. Approximating Functions
4. Approximating Derivatives
5. Numerical Derivatives

## Topic Breakdown
1. Liebniz, Prime, Dot, Higher-Order Diffs
2. Analyticity, Continuity, and Infinte Polynomicals
3. Approximating Functions
4. Approximating Derivatives
5. Numerical Derivatives: Backward, Forward, and Central Diff Formulae and "Stencils"

## Disclaimers
- The software written here is MIT licensed
- Use, (re)-distribute, modify, monetize at will
- The software has no guarantees and the author is not liable: test the code!
- This show provides no advice for:
- Legal
- Engineering
- Safety
- The show aims for a PG-13 environment
- There may be on occasion topics or jokes that aren't suitable for young children
- Intention: keep things relatively clean with limited to no profanity

## Footer
Fair warning: While I'm an experienced programmer, I am new to Rust, so expect many mistakes. Looking at you, borrow checker! :P