🎓 Scholars · Ages 17+ · university

Calculus: derivatives and integrals

Calculus is how science describes motion and change. Zoom in until a curve looks straight, measure instantaneous speed, add up infinitely many thin slices, and discover the theorem that ties it all together.

📚 4 lessons 69 min 280 XP

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Lessons

1🔭Limits: getting infinitely closeZeno's paradox, 0.999… and the idea every part of calculus is built on.⏱ 16 min✨ 70 XP
2🎢Derivatives: the slope at a pointInstantaneous rate of change, the power rule, and finding maximums.⏱ 18 min✨ 70 XP
3📶Integrals: adding up infinitely many slicesThe area under a curve, from rectangles to the integral sign.⏱ 17 min✨ 70 XP
4🏺The fundamental theorem of calculusDerivatives and integrals undo each other, and that unlocks volumes.⏱ 18 min✨ 70 XP