Calculus
Calculus is the mathematics of change and accumulation. It provides powerful tools — derivatives and integrals — for analyzing rates of change, areas, and the behavior of functions.
Topics in This Category
- Limits & Continuity - The foundation of calculus and function behavior
- Derivatives - Rates of change and slopes of curves
- Applications of Derivatives - Optimization, related rates, and curve sketching
- Integrals - Antiderivatives and areas under curves
- Fundamental Theorem of Calculus - The connection between derivatives and integrals
- Applications of Integrals - Areas, volumes, and real-world accumulation problems
Why It Matters
Calculus underpins modern science, engineering, economics, and data science. From predicting population growth to optimizing business costs to modeling physical systems, calculus provides the mathematical framework for understanding how quantities change over time.