This text reproduces the chapters of the Sixth Edition of Calculus by Earl Swokowski, Michael Olinick, and Dennis Pence that are most relevant for a second-year course in calculus. The primary focus is the material on multivariable calculus suitable for a one-semester course: vectors and surfaces, vector-valued functions, partial differentiation, multiple integrals, and vector calculus. Chapters on infinite series, parametric equations and polar coordinates, and differential equations are also included. This text is a continuation of the Second Edition of Calculus of a Single Variable by the same trio of authors, however, this text may be used as a sequel to many other first-year texts.
This text preserves the strengths that characterize the entire Swokowski series of mathematics texts--mathematical integrity, comprehensive discussions of the concepts of calculus, and an impressively large collection of worked examples and illustrative figures. It allow instructors maximum flexibility in designing their third-semester calculus course.