The calculus lifesaver : all the tools you need to excel at calculus / Adrian Banner.

By: Material type: TextTextSeries: A Princeton lifesaver study guidePublication details: Princeton, NJ : Princeton University Press, c2007.Description: xxi, 728 p. : ill. ; 26 cmISBN:
  • 9780691131535
  • 0691131538
  • 9780691130880 (pbk.)
  • 0691130884 (pbk.)
Subject(s): DDC classification:
  • 515 22
LOC classification:
  • QA303.2 .B36 2007
Online resources:
Contents:
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.
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Item type Current library Call number Copy number Status Barcode
Book Book INES Library 510 - Mathematics 515 (Browse shelf(Opens below)) 1 Available 2014-1755

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.

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