Calculus II

Calculus II is the second volume of the three-volume calculus sequence by Tunc Geveci. The series is designed for the usual three-semester calculus sequence that the majority of science and engineering majors in the United States are required to take. The distinguishing features of the book are the focus on the concepts, essential functions and formulas of calculus and the effective use of graphics as an integral part of the exposition. Formulas that are not significant and exercises that involve artificial algebraic difficulties are avoided. The three-volume calculus sequence is organized as - Calculus I covers the usual topics of the first limits, continuity, the derivative, the integral and special functions such as exponential functions, logarithms and inverse trigonometric functions. - Calculus II covers techniques and applications of integration, improper integrals, infinite series, linear and separable first-order differential equations, parametrized curves and polar coordinates. - Calculus III covers vectors, the differential calculus of functions of several variables, multiple integrals, line integrals, surface integrals, Green's Theorem, Stokes' Theorem and Gauss' Theorem. Table of Contents......Page 4 6 Techniques of Integration......Page 8 7 Applications of Integration......Page 96 8 Differential Equations......Page 139 9 Infinite Series......Page 192 10 Parametrized Curves and Polar Coordinates......Page 289 H Taylor’s Formula for the Remainder......Page 339 I Answers to Some Problems......Page 345 J Basic Differentiation and Integration formulas......Page 375 The second volume in a three-volume calculus sequence by Tunc Geveci. The distinguishing features of the book are the focus on the concepts, essential functions and formulas of calculus and the effective use of graphics as an integral part of the exposition. Formulas that are not significant and exercises that involve artificial algebraic difficulties are avoided.