Applied Calculus for Business, Economics, Life Sciences, and Social Sciences

From the Publisher Designed for students majoring in business, economics, or life sciences, this mathematically correct and student-friendly introduction to applied calculus begins with an optional library of elementary functions, presents 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 great variety of graded exercises and worked examples gives students extensive practice with real-world applications. From the Back Cover Key Benefit: This mathematically correct and reader-friendly introduction to applied calculus begins with an optional library of elementary functions, presents 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 great variety of graded exercises and worked examples are included. Key Topics: Reorganizes and relocates coverage of limits — develops the limit properties necessary to find derivatives by the definition; discusses continuity and graphs; considers limits at infinity and infinite limits. Introduces the definite integral as a limit of a Riemann sums, following the more traditional development of integration and emphasizing understanding of basic concepts. Discusses only first-order differential equations. Concentrates on the relationships between probability and calculus — discussing some of the numerical techniques within the book and presenting others as graphing utility activities.