Calculus with Applications, Global Edition

Höfundar: Margaret L. Lial; Raymond N. Greenwell; Nathan P. Ritchey (Útgáfa: 11)
Calculus with Applications, Global Edition

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Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed. Calculus with Applications, 11th Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers.

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Útgefandi
Pearson International Content
ISBN
9781292108988
Print ISBN
9781292108971
Format
Page Fidelity (PDF)
Útgáfa
11
Höfundar
Margaret L. Lial; Raymond N. Greenwell; Nathan P. Ritchey
Tungumál
English
Útgefið
2016-10-21
Prent takmörkun á líftíma
100
Prent takmörkun
2
Afritunar takmörkun
2

Kaflar

  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • Prerequisite Skills Diagnostic Test
  • Chapter R: Algebra Reference
  • R.1. Polynomials
  • R.2. Factoring
  • R.3. Rational Expressions
  • R.4. Equations
  • R.5. Inequalities
  • R.6. Exponents
  • R.7. Radicals
  • Chapter 1: Linear Functions
  • 1.1. Slopes and Equations of Lines
  • 1.2. Linear Functions and Applications
  • 1.3. The Least Squares Line
  • Chapter 1: Review
  • Extended Application: Using Extrapolation to Predict Life Expectancy
  • Chapter 2: Nonlinear Functions
  • 2.1. Properties of Functions
  • 2.2. Quadratic Functions; Translation and Reflection
  • 2.3. Polynomial and Rational Functions
  • 2.4. Exponential Functions
  • 2.5. Logarithmic Functions
  • 2.6. Applications: Growth and Decay; Mathematics of Finance
  • Chapter 2: Review
  • Extended Application: Power Functions
  • Chapter 3: The Derivative
  • 3.1. Limits
  • 3.2. Continuity
  • 3.3. Rates of Change
  • 3.4. Definition of the Derivative
  • 3.5. Graphical Differentiation
  • Chapter 3: Review
  • Extended Application: A Model for Drugs Administered Intravenously
  • Chapter 4: Calculating the Derivative
  • 4.1. Techniques for Finding Derivatives
  • 4.2. Derivatives of Products and Quotients
  • 4.3. The Chain Rule
  • 4.4. Derivatives of Exponential Functions
  • 4.5. Derivatives of Logarithmic Functions
  • Chapter 4: Review
  • Extended Application: Electric Potential and Electric Field
  • Chapter 5: Graphs and the Derivative
  • 5.1. Increasing and Decreasing Functions
  • 5.2. Relative Extrema
  • 5.3. Higher Derivatives, Concavity, and the Second Derivative Test
  • 5.4. Curve Sketching
  • Chapter 5: Review
  • Extended Application: A Drug Concentration Model for Orally Administered Medications
  • Chapter 6: Applications of the Derivative
  • 6.1. Absolute Extrema
  • 6.2. Applications of Extrema
  • 6.3. Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
  • 6.4. Implicit Differentiation
  • 6.5. Related Rates
  • 6.6. Differentials: Linear Approximation
  • Chapter 6: Review
  • Extended Application: A Total Cost Model for a Training Program
  • Chapter 7: Integration
  • 7.1. Antiderivatives
  • 7.2. Substitution
  • 7.3. Area and the Definite Integral
  • 7.4. The Fundamental Theorem of Calculus
  • 7.5. The Area Between Two Curves
  • 7.6. Numerical Integration
  • Chapter 7: Review
  • Extended Application: Estimating Depletion Dates for Minerals
  • Chapter 8: Further Techniques and Applications of Integration
  • 8.1. Integration by Parts
  • 8.2. Volume and Average Value
  • 8.3. Continuous Money Flow
  • 8.4. Improper Integrals
  • Chapter 8: Review
  • Extended Application: Estimating Learning Curves in Manufacturing with Integrals
  • Chapter 9: Multivariable Calculus
  • 9.1. Functions of Several Variables
  • 9.2. Partial Derivatives
  • 9.3. Maxima and Minima
  • 9.4. Lagrange Multipliers
  • 9.5. Total Differentials and Approximations
  • 9.6. Double Integrals
  • Chapter 9: Review
  • Extended Application: Using Multivariable Fitting to Create a Response Surface Design
  • Chapter 10: Differential Equations
  • 10.1. Solutions of Elementary and Separable Differential Equations
  • 10.2. Linear First-Order Differential Equations
  • 10.3. Euler’s Method
  • 10.4. Applications of Differential Equations
  • Chapter 10: Review
  • Extended Application: Pollution of the Great Lakes
  • Chapter 11: Probability and Calculus
  • 11.1. Continuous Probability Models
  • 11.2. Expected Value and Variance of Continuous Random Variables
  • 11.3. Special Probability Density Functions
  • Chapter 11: Review
  • Extended Application: Exponential Waiting Times
  • Chapter 12: Sequences and Series
  • 12.1. Geometric Sequences
  • 12.2. Annuities: An Application of Sequences
  • 12.3. Taylor Polynomials at 0
  • 12.4. Infinite Series
  • 12.5. Taylor Series
  • 12.6. Newton’s Method
  • 12.7. L’Hospital’s Rule
  • Chapter 12: Review
  • Extended Application: Living Assistance and Subsidized Housing
  • Chapter 13: The Trigonometric Functions
  • 13.1. Definitions of the Trigonometric Functions
  • 13.2. Derivatives of Trigonometric Functions
  • 13.3. Integrals of Trigonometric Functions
  • Chapter 13: Review
  • Extended Application: The Shortest Time and the Cheapest Path
  • Appendix A: Solutions to Prerequisite Skills Diagnostic Test
  • Appendix B: Tables
  • Answers to Selected Exercises
  • Credits
  • Index of Applications
  • Index
  • Sources
  • Key Definitions, Theorems, and Formulas
  • Back Cover