TY - BOOK AU - Banner,Adrian D. TI - The calculus lifesaver: all the tools you need to excel at calculus SN - 9780691131535 AV - QA303.2 .B36 2007 U1 - 515 22 PY - 2007/// CY - Princeton, NJ PB - Princeton University Press KW - Calculus KW - Calcul infinitésimal N1 - Includes index; Functions, graphs, and lines -- Review of trigonometry -- Introduction to limits -- How to solve limit problems involving polynomials -- Continuity and differentiability -- 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'Hôpital'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 -- Differential equations UR - http://www.loc.gov/catdir/enhancements/fy0809/2006939343-b.html UR - http://www.loc.gov/catdir/enhancements/fy0809/2006939343-d.html UR - http://www.loc.gov/catdir/enhancements/fy0809/2006939343-t.html ER -