(Ebook) Calculus with Applications 10th Edition by Margaret Lial, Ray Greenwell, Nathan Ritchey ISBN 9780321749000 0321749006

(Ebook) Calculus with Applications 10th Edition by Margaret Lial, Ray Greenwell, Nathan Ritchey ISBN 9780321749000 0321749006

(Ebook) Calculus with Applications 10th Edition by Margaret Lial, Ray Greenwell, Nathan Ritchey - Ebook PDF Instant Download/Delivery: 9780321749000 ,0321749006
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ISBN 10: 0321749006
ISBN 13: 9780321749000
Author: Margaret Lial, Ray Greenwell, Nathan Ritchey

(Ebook) Calculus with Applications 10th Edition Table of contents:

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’Hôpital’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

Appendices

• A: Solutions to Prerequisite Skills Diagnostic Test

• B: Learning Objectives

• C: MathPrint Operating System for TI-84 and TI-84 Plus Silver Edition

• Formulas of Geometry

• Area Under a Normal Curve

• Integrals

• Integrals Involving Trigonometric Functions

• Answers to Selected Exercises

• Credits

• Health and Life Sciences

• Physical Sciences

• Social Sciences

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