Single Variable Calculus

Name: Single Variable Calculus
Price: 7.95 USD
Availability: InStock
ISBN: 9780321664075

ISBN-10: 0321664078

ISBN-13: 9780321664075

Edition: 2011

Authors: William L. Briggs, Lyle Cochran, Bill L. Briggs

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Book details

List price: $76.99
Copyright year: 2011
Publisher: Pearson Education, Limited
Publication date: 3/8/2010
Binding: Paperback
Pages: 650
Size: 8.75" wide x 11.00" long x 1.00" tall
Weight: 3.542
Language: English




Functions



Review of Functions



Representing Functions



Trigonometric Functions and Their Inverses



Limits



The Idea of Limits



Definitions of Limits



Techniques for Computing Limits



Infinite Limits



Limits at Infinity



Continuity



Precise Definitions of Limits



Derivatives



Introducing the Derivative



Rules of Differentiation



The Product and Quotient Rules



Derivatives of Trigonometric Functions



Derivatives as Rates of Change



The Chain Rule



Implicit Differentiation



Related Rates



Applications of the Derivative



Maxima and Minima



What Derivatives Tell Us



Graphing Functions



Optimization Problems



Linear Approximation and Differentials



Mean Value Theorem



L'Hapital's Rule



Antiderivatives



Integration



Approximating Areas under Curves



Definite Integrals



Fundamental Theorem of Calculus



Working with Integrals



Substitution Rule



Applications of Integration



Velocity and Net Change



Regions between Curves



Volume by Slicing



Volume by Shells



Length of Curves



Physical Applications



Logarithmic and Exponential Functions



Inverse Functions



The Natural Logarithmic and Exponential Functions



Logarithmic and Exponential Functions with Other Bases



Exponential Models



Inverse Trigonometric Functions



L'Hapital's Rule Revisited and Growth Rates of Functions



Integration Techniques



Integration by Parts



Trigonometric Integrals



Trigonometric Substitutions



Partial Fractions



Other Integration Strategies



Numerical Integration



Improper Integrals



Introduction to Differential Equations



Sequences and Infinite Series



An Overview



Sequences



Infinite Series



The Divergence and Integral Tests



The Ratio, Root, and Comparison Tests



Alternating Series Review



Power Series



Approximating Functions with Polynomials



Power Series



Taylor Series



Working with Taylor Series



Parametric and Polar Curves



Parametric Equations



Polar Coordinates



Calculus in Polar Coordinates



Conic Sections