This pathway assumes comfort with AB-style limits, derivatives, and integrals, and aims at deeper meaning plus readiness for college calculus or self-study multivariable later.
Suggested order
- Calculus foundations — rebuild the map in plain language.
- What a derivative actually measures — rates, units, linear approximation.
- Numerical derivative calculator — feel difference quotients.
- Epsilon-delta intuition without terror — optional but high leverage.
- Sequences and series — if your course or next course includes them.
- Differential equations first look + separable walkthrough.
Practice habit. For each derivative rule you already know, write one sentence naming what quantity’s rate you are computing in a real context (distance, cost, population, temperature).
Glossary anchors: limit, derivative, definite integral.