Calculus with applications
著者
書誌事項
Calculus with applications
Pearson/Addison Wesley, c2008
9th ed
- : hard.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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
「Nielsen BookData」 より
