Calculus with applications
Author(s)
Bibliographic Information
Calculus with applications
Pearson/Addison Wesley, c2008
9th ed
- : hard.
Available at / 2 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and index
Description and Table of Contents
Description
Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab (R), a complete online course solution, a comprehensive series of video lectures is available for this text.
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 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 Review Extended Application: Characteristics of the Monkeyface Prickleback 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 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 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 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 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 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 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 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 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 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 12-4 Infinite Series 12-5 Taylor Series 12-6 Newton's Method 12-7 L'Hospital's Rule Chapter Review 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 Review Extended Application: The Shortest Time and the Cheapest Path Tables Table 1 Formulas of Geometry Table 2 Area Under a Normal Curve Table 3 Integrals Table 4 Integrals Involving Trigonometric Functions Answers to Selected Exercises Photo Acknowledgements Index
by "Nielsen BookData"
