Calculus is the mathematics of motion and change—understanding derivatives and integrals unlocks optimization, physics, and engineering.
Gradient descent for machine learning training.
Modeling velocity, acceleration, and motion.
Computing areas under curves and 3D volumes.
What: Limits, Continuity, Differentiability.
Why: The "limit" foundation defines the precise rate of change.
What: Mean Value Theorems, Maxima/Minima, Optimization.
Why: Use derivatives to find optimal values and prove theorems.
What: Anti-derivatives, Integration by Parts, Definite Integrals.
Why: The inverse of differentiation—accumulation of area.