01762pamaa2200217 4500 0000047138 20121206090000.0 100603 eng 9780691130880 (pbk.) QA303.2 BAN 2007 Banner The calculus lifesaver : all the tools you need to excel at calculus Adrian Banner. Princeton, NJ: Princeton University Press, 2007. xxi, 728 p.: ill.; 26 cm. A Princeton lifesaver study guide Includes index FAS Functions, graphs, and lines -- Review of trigonometry -- Introduction to limits -- How to solve limit problems involving polynomials -- Continuity anddifferentiability -- How to solve differentiation problems --Trig limits and derivatives -- Implicit differentiation and related rates -- Exponentials and logarithms -- Inverse functions and inverse trig functions -- The derivative and graphs -- Sketching graphs -- Optimization and linearization-- L'Hp̥ital's Rule and overview of limits -- Introduction to integration -- Definite integrals -- The fundamental theorems of calculus -- Techniques of integration, part one -- Techniques of integration, part two -- Improper integrals : basic concepts -- Improper integrals : how to solve problems -- Sequences and series : basic concepts -- How to solve series problems -- Taylor polynomials, Taylor series, and power series -- How to solve estimation problems -- Taylor and power series : how to solve problems -- Parametric equations and polar coordinates -- Complex numbers -- Volumes, arc lengths, and surface areas -- Differentialequations Calculus Calcul infinitesimal www.pup.princeton.edu