Single Variable Calculus

Built from the ground up to meet the needs of today's calculus learners, Single Variable Calculus was the first book to pair a complete calculus syllabus with the best elements of reform—like extensive verbalization and strong geometric visualization. The Third Edition of this groundbreaking book has been crafted and honed, making it the book of choice for those seeking the best of both worlds. Numerous chapters offer an exciting choice of problem sets and include topics such as functions and graphs, limits and continuity, differentiation, additional applications of the derivative, integration, additional applications of the integral, methods of integration, infinite series, vectors in the plane and in space, and vector-valued functions. For individuals in fields related to engineering, science, or mathematics.

This book blends much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. Readers benefit from an innovative pedagogy and a superb range of problems. Modeling is a major theme — qualitative and quantitative problems demonstrate an extremely wide variety of mathematical, engineering, scientific, and social models. This book addresses topics such as continuity, the mean value theorm, l'Hôpital's rule, parametric equations, polar coordinates, sequences, and series. Differential equations are integrated and coverage is expanded including an introduction to slope fields. Suitable for professionals in engineering, science, and math.