Calculus 1 & 2: A Guided Approach

Calculus 1 & 2 covers the following topics: differentiation and integration of functions using a guided and an analytical approach. All the normally difficult to understand topics have been made easy to understand, apply and remember. The topics include continuity, limits of functions; proofs; differentiation of functions; applications of differentiation to minima and maxima problems; rates of change, and related rates problems. Also covered are general simple substitution techniques of integration; integration by parts, trigonometric substitution techniques; application of integration to finding areas and volumes of solids. Guidelines for general approach to integration are presented to help the student save trial-and-error time on examinations. Other topics include L'Hopital's rule, improper integrals; and memory devices to help the student memorize the basic differentiation and integration formulas, as well as trigonometric identities. This book is one of the most user-friendly calculus textbooks ever published.