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∫ Calculus
The mathematics of change and accumulation: derivatives capture instantaneous change, integrals capture totals.
- 01📉Introduction to DerivativesA straight line has one slope everywhere; a curve has a different one at every point. The derivative is the slope of right now.
- 02♾️Introduction to LimitsEndless steps still finish the journey; a function can home in on a value. Limits are the foundation of all calculus.
- 03🧺Introduction to IntegrationSlice the area under a curve into strips and add them all up — integration is the reverse of a derivative, and the art of turning change into totals.
- 04🧗Derivative RulesThree short rules that turn differentiation from a limit computation into a few seconds of mental arithmetic.
- 05🏔️Extrema and OptimizationWhere the derivative hits zero, mountain tops and valley bottoms hide — one sign flip reveals the maximum area and the best price.