Calculus 5th edition by Deborah Hughes Hallett, William McCallum, Andrew Gleason, Daniel Flath, Patti Frazer Lock, Sheldon Gordon ISBN 047045556X 9780470455562

Calculus 5th edition by Deborah Hughes-Hallett, William G. McCallum, Andrew M. Gleason, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon – Ebook PDF Instant Download/Delivery. 047045556X, 978-0470455562
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Product details:

ISBN 10:       047045556X
ISBN 13: 978-0470455562
Author:         Deborah Hughes-Hallett, William G. McCallum, Andrew M. Gleason, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon

Calculus 5th Table of contents:

Chapter 1: Functions and Models

• Four Ways to Represent a Function
• Mathematical Models: A Catalog of Essential Functions
• New Functions from Old Functions
• Exponential Functions
• Inverse Functions and Logarithms
• Parametric Curves
• Laboratory Project: Running Circles around Circles
• Review
• Principles of Problem Solving

Chapter 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
• Review
• Focus on Problem Solving

Chapter 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: Bézier 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

Chapter 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’Hopital’s Rule
• Writing Project: The Origins of l’Hopital’s Rule
• Optimization Problems
• Applied Project: The Shape of a Can
• Newton’s Method
• Antiderivatives
• Review
• Focus on Problem Solving

Chapter 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

Chapter 6: Applications of Integration

• Areas of Surfaces of Revolution
• Applications to Physics and Engineering
• Applications to Economics and Biology
• Probability
• Review
• Focus on Problem Solving

Chapter 7: Techniques of Integration

• Integration by Trigonometric Substitution
• Integration by Partial Fractions
• Strategy for Integration
• Integration Using Tables and Computer Algebra Systems
• Approximate Integration
• Improper Integrals
• Review
• Focus on Problem Solving

Chapter 8: Further Applications of Integration

• Arc Length and Surface Area
• Applications to Physics and Engineering
• Applications to Economics and Biology
• Probability
• Review
• Focus on Problem Solving

Chapter 9: Differential Equations

• Modeling with Differential Equations
• Direction Fields and Euler’s Method
• Separation of Variables
• Applications of Differential Equations
• Review
• Focus on Problem Solving

Chapter 10: Parametric Equations and Polar Coordinates

• Curves Defined by Parametric Equations
• Calculus with Parametric Curves
• Polar Coordinates
• Areas and Lengths in Polar Coordinates
• Conic Sections
• Conic Sections in Polar Coordinates
• Review
• Focus on Problem Solving

Chapter 11: Infinite Sequences and Series

• Sequences
• Series
• The Integral Test and Estimates of Sums
• The Comparison Tests
• Alternating Series
• Absolute Convergence and the Ratio and Root Tests
• Strategy for Testing Series
• Power Series
• Representations of Functions as Power Series
• Taylor and Maclaurin Series
• Applications of Taylor Polynomials
• Review
• Focus on Problem Solving

Chapter 12: Vectors and the Geometry of Space

• Three-Dimensional Coordinate Systems
• Vectors
• The Dot Product
• The Cross Product
• Equations of Lines and Planes
• Cylinders and Quadric Surfaces
• Review
• Focus on Problem Solving

Chapter 13: Vector Functions

• Vector Functions and Space Curves
• Derivatives and Integrals of Vector Functions
• Arc Length and Curvature
• Motion in Space: Velocity and Acceleration
• Review
• Focus on Problem Solving

Chapter 14: Partial Derivatives

• Functions of Several Variables
• Limits and Continuity
• Partial Derivatives
• Tangent Planes and Linear Approximations
• The Chain Rule
• Directional Derivatives and the Gradient Vector
• Maximum and Minimum Values
• Lagrange Multipliers
• Review
• Focus on Problem Solving

Chapter 15: Multiple Integrals

• Double Integrals of Rectangles
• Double Integr

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