Calculus
The mathematics of change and accumulation. Calculus describes how things move, grow, and transform , it underpins physics, engineering, economics, and virtually all of modern science.
What is a Limit?
The foundational concept of calculus , what happens to a function as input approaches a value, without ever reaching it.
What is a Derivative?
The rate of change at a specific instant , the slope of a curve at any point. The most powerful idea in calculus.
Differentiation Rules
Power rule, product rule, quotient rule, and chain rule , the tools for finding any derivative.
Chain Rule Applications
Implicit differentiation and related rates , extending the chain rule to real problems.
What is Integration?
The reverse of differentiation , finding area under curves and accumulating quantities.
The Fundamental Theorem of Calculus
The bridge between derivatives and integrals , one of the most important results in all of mathematics.