Stewart'sSINGLE VARIABLE CALCULUS: CONCEPTS AND CONTEXTS, ENHANCED EDITION, 4th Edition, helps you learn the major concepts of calculus using precise definitions, patient explanations, and a variety of examples and exercises. The text is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Product Identifiers
Publisher
Brooks/Cole
ISBN-10
1337687804
ISBN-13
9781337687805
eBay Product ID (ePID)
240402735
Product Key Features
Author
James Stewart
Publication Name
Single Variable Calculus : concepts and Contexts, Enhanced Edition
Format
Hardcover
Language
English
Features
Revised
Subject
General, Algebra / Elementary, Calculus, Algebra / General
Publication Year
2018
Type
Textbook
Subject Area
Mathematics
Number of Pages
1152 Pages
Dimensions
Item Length
10.3 in
Item Height
1.3 in
Item Width
8.8 in
Item Weight
58.5 Oz
Additional Product Features
Edition Number
4
LCCN
2018-469821
Lc Classification Number
Qa303.S88264 2019
Edition Description
Revised Edition
Table of Content
Preface.To the Student.Diagnostic Tests.A Preview of Calculus.1. FUNCTIONS AND MODELS.Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Graphing Calculators and Computers. Exponential Functions. Inverse Functions and Logarithms. Parametric Curves. Laboratory Project: Running Circles around Circles. Review. Principles of Problem Solving.2. LIMITS AND DERIVATIVES.The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. Continuity. Limits Involving Infinity. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. What Does f? ? Say about f ? Review. Focus on Problem Solving.3. DIFFERENTIATION RULES.Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Laboratory Project: Bzier Curves. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Inverse Trigonometric Functions and their Derivatives. Derivatives of Logarithmic Functions. Discovery Project: Hyperbolic Functions. Rates of Change in the Natural and Social Sciences. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Focus on Problem Solving.4. APPLICATIONS OF DIFFERENTIATION.Related Rates. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. Derivatives and the Shapes of Curves. Graphing with Calculus and Calculators. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Optimization Problems. Applied Project: The Shape of a Can. Newton's Method. Antiderivatives. Review. Focus on Problem Solving.5. INTEGRALS.Areas and Distances. The Definite Integral. Evaluating Definite Integrals. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Integration by Parts. Additional Techniques of Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Focus on Problem Solving.6. APPLICATIONS OF INTEGRATION.More about Areas. Volumes. Discovery Project: Rotating on a Slant. Volumes by Cylindrical Shells. Arc Length. Discovery Project: Arc Length Contest. Average Value of a Function. Applied Project: Where to Sit at the Movies. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Focus on Problem Solving.7. DIFFERENTIAL EQUATIONS.Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay. Applied Project: Calculus and Baseball. The Logistic Equation. Predator-Prey Systems. Review. Focus on Problem Solving.8. INFINTE SEQUENCES AND SERIES.Sequences. Laboratory Project: Logistic Sequences. Series. The Integral and Comparison Tests; Estimating Sums. Other Convergence Tests. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Focus on Problem Solving.APPENDIXES.A. Intervals, Inequalities, and Absolute Values.B. Coordinate Geometry.C. Trigonometry.D. Precise Definitions of Limits.E. A Few Proofs.F. Sigma Notation.G. Integration of Rational Functions by Partial Fractions.H. Polar Coordinates.I. Complex Numbers.J. Answers to Odd-Numbered Exercises.