Calculus: Single Variable / Edition 9

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This text is an unbound, binder-ready edition.

Calculus, Tenth Edition continues to evolve to fulfill the needs ofa changing market by providing flexible solutions to teaching andlearning needs of all kinds. Calculus, Tenth Edition excels inincreasing student comprehension and conceptual understanding ofthe mathematics. The new edition retains the strengths of earliereditions: e.g., Anton's trademark clarity of exposition; soundmathematics; excellent exercises and examples; and appropriatelevel, while incorporating more skill and drill problems withinWileyPLUS.   The seamless integration of Howard Anton’sCalculus, Tenth Edition with WileyPLUS, a research-based, onlineenvironment for effective teaching and learning, continuesAnton’s vision of building student confidence in mathematicsbecause it takes the guesswork out of studying by providing themwith a clear roadmap: what to do, how to do it, and if they did itright.

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Product Details

  • ISBN-13: 9780470183472
  • Publisher: Wiley
  • Publication date: 2/9/2009
  • Edition description: Older Edition
  • Edition number: 9
  • Pages: 880
  • Product dimensions: 8.80 (w) x 10.20 (h) x 1.40 (d)

Table of Contents

0. Before Calculus
0.1 Functions
0.2New Functions from Old
0.3Families of Functions
0.4Inverse Functions

1. Limits and Continuity
1.1Limits (An Intuitive Approach)
1.2Computing Limits
1.3Limits at Infinity; End Behavior of a Function
1.4Limits (Discussed More Rigorously)
1.6Continuity of Trigonometric Functions

2. The Derivative
2.1Tangent Lines and Rates of Change
2.2The Derivative Function
2.3Introduction to Techniques of Differentiation
2.4The Product and Quotient Rules
2.5Derivatives of Trigonometric Functions
2.6The Chain Rule
2.7Implicit Differentiation
2.8Related Rates
2.9Local Linear Approximation; Differentials

3. The Derivative in Graphing and Applications
3.1Analysis of Functions I: Increase, Decrease, and Concavity
3.2Analysis of Functions II: Relative Extrema; GraphingPolynomials
3.3Analysis of Functions III: Rational Functions, Cusps, andVertical Tangents
3.4Absolute Maxima and Minima
3.5Applied Maximum and Minimum Problems
3.6Rectilinear Motion
3.7Newton's Method
3.8Rolle's Theorem; Mean-Value Theorem

4. Integration
4.1An Overview of the Area Problem
4.2The Indefinite Integral
4.3Integration by Substitution
4.4 The Definition of Area as a Limit; Sigma Notation
4.5The Definite Integral
4.6The Fundamental Theorem of Calculus
4.7Rectilinear Motion Revisited: Using Integration
4.8Average Value of a Function and Its Applications
4.9Evaluating Definite Integrals by Substitution

5. Applications of the Definite Integral in Geometry, Scienceand Engineering
5.1Area Between Two Curves
5.2Volumes by Slicing; Disks and Washers
5.3Volumes by Cylindrical Shells
5.4Length of a Plane Curve
5.5Area of a Surface Revolution
5.7Moments, Centers of Gravity, and Centroids
5.8Fluid Pressure and Force

6. Exponential, Logarithmic, and Inverse TrigonometricFunctions
6.1Exponential and Logarithmic Functions
6.2Derivatives and Integrals Involving Logarithmic Functions
6.3Derivatives of Inverse Functions; Derivatives and IntegralsInvolving Exponential Functions
6.4Graphs and Applications Involving Logarithmic and ExponentialFunctions
6.5L'Hˆopital's Rule; Indeterminate Forms
6.6Logarithmic and Other Functions Defined by Integrals
6.7Derivatives and Integrals Involving Inverse TrigonometricFunctions
6.8Hyperbolic Functions and Hanging Cubes

Ch 7  Principles of Integral Evaluation
7.1 An Overview of Integration Methods
7.2 Integration by Parts
7.3 Integrating Trigonometric Functions
7.4 Trigonometric Substitutions
7.5 Integrating Rational Functions by Partial Fractions
7.6 Using Computer Algebra Systems and Tables of Integrals
7.7 Numerical Integration; Simpson's Rule
7.8 Improper Integrals

Ch 8  Mathematical Modeling with DifferentialEquations
8.1 Modeling with Differential Equations
8,2 Separation of Variables
8.3 Slope Fields; Euler's Method
8.4 First-Order Differential Equations and Applications

Ch 9  Infinite Series
9.1 Sequences
9.2 Monotone Sequences
9.3 Infinite Series
9.4 Convergence Tests
9.5 The Comparison, Ratio, and Root Tests
9.6 Alternating Series; Absolute and Conditional Convergence
9.7 Maclaurin and Taylor Polynomials
9.8 Maclaurin and Taylor Series; Power Series
9.9 Convergence of Taylor Series
9.10 Differentiating and Integrating Power Series; Modeling withTaylor Series

Ch 10  Parametric and Polar Curves; Conic Sections
10.1 Parametric Equations; Tangent Lines and Arc Length forParametric Curves
10.2 Polar Coordinates
10.3 Tangent Lines, Arc Length, and Area for Polar Curves
10.4 Conic Sections
10.5 Rotation of Axes; Second-Degree Equations
10.6 Conic Sections in Polar Coordinates

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