CALCULUS >CUSTOM<

This is a custom edition of James Stewart's Calculus Textbook. It is paperback and does not contain any of the additional online material that the standard version has. Front Cover Title Page Copyright Page Contents To the Student Diagnostic Tests A Preview of Calculus 1 Functions and Models 1.1 Four Ways to Represent a Function 1.2 Mathematical Models: A Catalog of Essential Functions 1.3 New Functions from Old Functions 1.4 Graphing Calculators and Computers 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms 1 Review Principles of Problem Solving 2 Limits and Derivatives 2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change Writing Project - Early Methods for Finding Tangents 2.8 The Derivative as a Function 2 Review Problems Plus 3 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions Applied Project - Building a Better Roller Coaster 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule Applied Project - Where Should a Pilot Start Descent? 3.5 Implicit Differentiation Laboratory Project - Families of Implicit Curves 3.6 Derivatives of Logarithmic Functions 3.7 Rates of Change in the Natural and Social Sciences 3.8 Exponential Growth and Decay 3.9 Related Rates 3.10 Linear Approximations and Differentials Laboratory Project - Taylor Polynomials 3.11 Hyperbolic Functions 3 Review Problems Plus 4 Applications of Differentiation 4.1 Maximum and Minimum Values Applied Project - The Calculus of Rainbows 4.2 Maximum and Minimum Values 4.3 How Derivatives Affect the Shape of a Graph 4.4 Indeterminate Forms and l'Hôpital's Rule Writing Project - The Origins of l'Hôpital's Rule 4.5 Summary of Curve Sketching 4.6 Graphing with Calculus and Calculators 4.7 Optimization Problems Applied Project - The Shape of a Can 4.8 Newton's Method 4.9 Antiderivatives 4 Review Problems Plus 5 Integrals 5.1 Areas and Distances 5.2 The Definite Integral Discovery Project - Area Functions 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem Writing Project - Newton, Leibniz, and the Invention of Calculus 5.5 The Substitution Rule 5 Review Problems Plus 6 Applications of Integration 6.1 Areas Between Curves Applied Project - The Gini Index 6.2 Volumes 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function Applied Project - Calculus and Baseball Applied Project - Where to Sit at the Movies 6 Review Problems Plus 7 Techniques of Integration 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.6 Integration Using Tables and Computer Algebra Systems Discovery Project - Patterns in Integrals 7.7 Approximate Integration 7.8 Improper Integrals 7 Review Problems Plus 8 Further Applications of Integration 8.1 Arc Length Discovery Project - Arc Length Contest 8.2 Area of a Surface of Revolution Discovery Project - Rotating on a Slant 8.3 Applications to Physics and Engineering Discovery Project - Complementary Coffee Cups 8.4 Applications to Economics and Biology 8.5 Probability 8 Review Problems Plus 9 Differential Equations 9.1 Modeling with Differential Equations 9.2 Direction Fields and Euler's Method 9.3 Separable Equations Applied Project - How Fast Does a Tank Drain? Applied Project - Which Is Faster, Going Up or Coming Down? 9.4 Models for Population Growth 9.5 Linear Equations 9.6 Predator-Prey Systems 9 Review Problems Plus 10 Parametric Equations and Polar Coordinates 10.1 Curves Defined by Parametric Equations Laboratory Project - Running Circles around Circles 10.2 Calculus with Parametric Curves Laboratory Project - Bézier Curves 10.3 Polar Coordinates Laboratory Project - Families of Polar Curves 10.4 Areas and Lengths in Polar Coordinates 10.5 Conic Sections 10.6 Conic Sections in Polar Coordinates 10 Review Problems Plus Appendixes A: Numbers, Inequalities, and Absolute Values B: Coordinate Geometry and Lines C: Graphs of Second-Degree Equations D: Trigonometry E: Sigma Notation F: Proofs of Theorems G: The Logarithm Defined as an Integral H: Complex Numbers I: Answers to Odd-Numbered Exercises Index Back Cover