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The essence of calculus
Derivatives and integrals as ideas, not just rules.
Understand calculus from first principles: what a derivative really is, the chain and product rules, why e is special, and how integration and the fundamental theorem fit together, with 3Blue1Brown's Essence of Calculus.
beginnerabout 2 weeks at 40 min a day6 free sources
What you'll cover
Phase 1
Derivatives
- The essence of calculus
- The paradox of the derivative
- Derivative formulas through geometry
- The chain and product rules
Phase 2
Special functions
- Why e is special
- Exponentials and growth
Phase 3
Integrals
- Integration as area
- The fundamental theorem of calculus
An outline. Your own plan is made when you start, around your level and deadline.
Sources
Free, and fetched for you
- LectureThe essence of calculus (3Blue1Brown)youtube.com ↗
- LectureThe paradox of the derivative (3Blue1Brown)youtube.com ↗
- LectureDerivative formulas through geometry (3Blue1Brown)youtube.com ↗
- LectureVisualizing the chain rule and product rule (3Blue1Brown)youtube.com ↗
- LectureWhat's so special about Euler's number e? (3Blue1Brown)youtube.com ↗
- LectureIntegration and the fundamental theorem of calculus (3Blue1Brown)youtube.com ↗
All sources belong to their creators and are free to watch or read; Confu links to them and turns them into study PDFs for you.
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