The calculus lifesaver : all the tools you need to excel at calculus /
Adrian Banner.
- Princeton, N.J. : Princeton University Press, 2007.
- xxi, 728 p. : ill. ; 26 cm.
- A Princeton lifesaver study guide .
- Princeton paperbacks .
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'H�opital'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.