Calculus, 4th Edition

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E-Book Overview

Now in its 4th edition, Smith/Minton, Calculus offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added.

E-Book Information

  • Year: 2,011

  • Edition: 4th

  • Pages: 1,232

  • Pages In File: 1,232

  • Language: English

  • Topic: 117

  • Issue: 2011 12 30

  • Identifier: 0073383112,9780073383118

  • Ddc: 515/.22

  • Lcc: QA353 .S649 2012

  • Paginated: 1

  • Org File Size: 92,398,798

  • Extension: pdf

  • Tags: Математика Математический анализ

  • Toc: Cover......Page 1 Title Page......Page 3 Copyright......Page 4 DEDICATION......Page 5 Brief Table of Contents......Page 6 Table of Contents......Page 8 Seeing the Beauty and Power of Mathematics......Page 15 Applications Index......Page 26 CHAPTER 0 Preliminaries......Page 29 The Real Number System and Inequalities......Page 30 The Cartesian Plane......Page 34 Equations of Lines......Page 37 Functions......Page 40 0.3 Graphing Calculators and Computer Algebra Systems......Page 49 0.4 Trigonometric Functions......Page 55 0.5 Transformations of Functions......Page 64 1.1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve......Page 75 1.2 The Concept of Limit......Page 80 1.3 Computation of Limits......Page 87 1.4 Continuity and Its Consequences......Page 96 The Method of Bisections......Page 102 1.5 Limits Involving Infinity; Asymptotes......Page 106 Limits at Infinity......Page 109 1.6 Formal Definition of the Limit......Page 115 Exploring the Definition of Limit Graphically......Page 119 Limits Involving Infinity......Page 121 1.7 Limits and Loss-of-Significance Errors......Page 126 Computer Representation of Real Numbers......Page 127 2.1 Tangent Lines and Velocity......Page 135 The General Case......Page 137 Velocity......Page 139 2.2 The Derivative......Page 146 Alternative Derivative Notations......Page 149 Numerical Differentiation......Page 151 The Power Rule......Page 155 General Derivative Rules......Page 158 Higher Order Derivatives......Page 159 Acceleration......Page 160 Product Rule......Page 163 Quotient Rule......Page 165 Applications......Page 167 2.5 The Chain Rule......Page 170 2.6 Derivatives of Trigonometric Functions......Page 175 Applications......Page 180 2.7 Implicit Differentiation......Page 183 2.8 The Mean Value Theorem......Page 190 CHAPTER 3 Applications of Differentiation......P

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