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Calculus
The mathematics of change and accumulation.
How fast is it changing right now, and how much has piled up in total? Calculus answers both — for anything a curve can describe. It's the subject this platform was built around, and every lesson is live today.
Your progress
12 lessons
The big ideas
The derivative
The slope of a curve at a single point — speed, growth, sensitivity, captured at an instant.
The integral
The area under a curve — totals rebuilt from rates that never hold still.
The fundamental theorem
The two ideas are mirror images: each undoes the other. One subject, not two.
The course — start at lesson one
- 01Functions → LimitsThe four foundation lessons.Medium
- 02Derivatives & rulesInstant change, plus the patterns that make formulas stick.Medium
- 03Antiderivatives & integralsRunning change backwards into totals.Medium
- 04The fundamental theoremThe grand connection.Medium
- 05Optimization & applicationsCalculus, earning its keep.Medium
- 06The calculus of oscillationThe bridge to waves and the signals pathway.Medium
Out in the world
Your speedometer
Reports the derivative of position, continuously, every ride.
Machine learning
Models train by following derivatives downhill until error bottoms out.
Medical dosing
Safe dosages come from the area under a drug-concentration curve — an integral.
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