Calculus, one of the most profound and powerful branches of mathematics, serves as the foundation for understanding the dynamic world around us. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century, calculus provides the tools to model and analyze change—whether it’s the motion of planets, the growth of populations, the optimization of systems, or the behavior of complex functions. By breaking problems into infinitesimal pieces and reassembling them through differentiation and integration, calculus unlocks the ability to solve problems that algebra alone cannot tackle. From engineering and physics to economics and biology, its applications are vast and transformative. Whether you're a student embarking on your first calculus journey or a seasoned learner revisiting its elegant principles, this page is your gateway to mastering the mathematics of motion, curves, and the ever-changing universe. Dive in and discover how calculus shapes our understanding of reality!
Differentiation Applications
Vectors and Geometry of Space
Partial Derivatives & Multivariable Functions
Multivariable Applications
Surface Integrals & Theorems