E-Z series

Includes index

The slope of the tangent line -- Calculating derivatives -- Finding maximum and minimum points -- Derivatives of complicated functions -- Derivatives of trigonometric functions -- Optimum values and related rates -- The integral: a backward derivative -- Finding areas with integrals -- Natural logarithms -- Exponential functions and integration by parts -- Integration by trigonometric substitution -- Integration by partial fractions -- Finding volumes with integrals -- Arc lengths, surface areas, and the center of mass -- Introduction to differential equations -- Partial derivatives and vectors -- Numerical methods, Taylor series, and limits -- Comprehensive test of calculus problems -- The professor's guide to calculus

"The author of this imaginative self-teaching book tells an entertaining story about travels in the fictional land of Carmorra. In the process he introduces a series of problems and solves them by applying principles of calculus. Readers are introduced to derivatives, natural logarithms, exponential functions, differential equations, and much more. Skill-building exercises are presented at the end of every chapter..."--Publisher's description