This course is designed to develop advanced topics of differential and integral calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms, ...

Calculus is the mathematical analysis of functions using limit approximations. It deals with rates of change, motion, areas and volumes of regions, and the polynomial approximation of functions.

-In this page we introduce a ***differential*** based method for vector and matrix derivatives (matrix calculus), which ***only needs a few simple rules to derive most matrix derivatives***. This ...

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, ...