Publisher's Synopsis
Introducing applied calculus, this text begins with with an optional library of elementary functions. It goes on to to present the basics of differential and integral calculus and then provides self-contained explorations of multivariable calculus, differential equations, Taylor polynomials and infinite series, probability and calculus, and trigonometry. The emphasis throughout is on computational skills, ideas and problem solving, and a wide variety of graded exercises are included.;The book relocates coverage of limits by developing the limit properties necessary to find derivatives by the definition; it also discusses continuity and graphs, and considers limits at infinity and infinite limits. The dinite integral is introduced as a limit of Riemann sums, following the more traditional development of integration and emphasizing understanding of basic concepts. The book discusses only first-order differential equations, and concentrates on the relationships between probability and calculus, discussing some of the numerical techniques within the book and presenting others as graphing utility activities.
