Finite mathematics and calculus with applications
著者
書誌事項
Finite mathematics and calculus with applications
Pearson Addison Wesley, c2009
8th ed
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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 (shared with FM, CWA, and Brief) 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 (shared with FM, CWA, and Brief) 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: Systems of Linear Equations and Matrices (FM) 2-1 Solution of Linear Systems by the Echelon Method 2-2 Solution of Linear Systems by the Gauss-Jordan Method 2-3 Addition and Subtraction of Matrices 2-4 Multiplication of Matrices 2-5 Matrix Inverses 2-6 Input-Output Models Chapter Review Extended Application: Contagion Chapter 3: Linear Programming: The Graphical Method (FM) 3-1 Graphing Linear Inequalities 3-2 Solving Linear Programming Problems Graphically 3-3 Applications of Linear Programming Chapter Review Chapter 4: Linear Programming: The Simplex Method (FM) 4-1 Slack Variables and the Pivot 4-2 Maximization Problems 4-3 Minimization Problems
- Duality 4-4 Nonstandard Problems Chapter Review Extended Application: Using Integer Programming in the Stock-Cutting Problem Chapter 5: Mathematics of Finance (FM) 5-1 Simple and Compound Interest 5-2 Future Value of an Annuity 5-3 Present Value of an Annuity
- Amortization Chapter Review Extended Application: Time, Money, and Polynomials Chapter 6: Logic (FM) 6-1 Statements 6-2 Truth Tables and Equivalent Statements 6-3 The Conditional and Circuits 6-4 More on the Conditional 6-5 Analyzing Arguments and Proofs 6-6 Analyzing Arguments with Quantifiers Chapter Review Extended Application: Logic Puzzles Chapter 7: Sets and Probability (FM) 7-1 Sets 7-2 Applications of Venn Diagrams 7-3 Introduction to Probability 7-4 Basic Concepts of Probability 7-5 Conditional Probability
- Independent Events 7-6 Bayes' Theorem Chapter Review Extended Application: Medical Diagnosis Chapter 8: Counting Principles: Further Probability Topics (FM) 8-1 The Multiplication Principle
- Permutations 8-2 Combinations 8-3 Probability Applications of Counting Principles 8-4 Binomial Probability 8-5 Probability Distributions
- Expected Value Chapter Review Extended Application: Optimal Inventory for a Service Truck Chapter 9: Statistics (FM) 9-1 Frequency Distributions
- Measures of Central Tendency 9-2 Measures of Variation 9-3 The Normal Distribution 9-4 Normal Approximation to the Binomial Distribution Chapter Review Extended Application: Statistics in the Law - The Castaneda Decision Chapter 10: Nonlinear Functions (Chapter 2 of CWA) 10-1 Properties of Functions 10-2 Quadratic Functions
- Translation and Reflection 10-3 Polynomial and Rational Functions 10-4 Exponential Functions 10-5 Logarithmic Functions 10-6 Applications: Growth and Decay
- Mathematics of Finance Chapter Review Extended Application: Characteristics of the Monkeyface Prickleback Chapter 11: The Derivative (Chapter 3 of CWA) 11-1 Limits 11-2 Continuity 11-3 Rates of Change 11-4 Definition of the Derivative 11-5 Graphical Differentiation Chapter Review Extended Application: A Model for Drugs Administered Intravenously (new) Chapter 12: Calculating the Derivative (Chapter 4 of CWA) 12-1 Techniques for Finding Derivatives 12-2 Derivatives of Products and Quotients 12-3 The Chain Rule 12-4 Derivatives of Exponential Functions 12-5 Derivatives of Logarithmic Functions Chapter Review Extended Application: Electric Potential and Electric Field (new) Chapter 13: Graphs and the Derivative (Chapter 5 of CWA) 13-1 Increasing and Decreasing Functions 13-2 Relative Extrema 13-3 Higher Derivatives, Concavity, and the Second Derivative Test 13-4 Curve Sketching Chapter Review Extended Application: A Drug Concentration Model for Orally Administered Medications (new) Chapter 14: Applications of the Derivative (Chapter 6 of CWA) 14-1 Absolute Extrema 14-2 Applications of Extrema 14-3 Further Business Applications: Economic Lot Size
- Economic Order Quantity
- Elasticity of Demand 14-4 Implicit Differentiation 14-5 Related Rates 14-6 Differentials: Linear Approximation Chapter Review Extended Application: A Total Cost Model for a Training Program Chapter 15: Integration (Chapter 7 of CWA) 15-1 Antiderivatives 15-2 Substitution 15-3 Area and the Definite Integral 15-4 The Fundamental Theorem of Calculus 15-5 The Area Between Two Curves 15-6 Numerical Integration Chapter Review Extended Application: Estimating Depletion Dates for Minerals Chapter 16: Further Techniques and Applications of Integration (Chapter 8 of CWA) 16-1 Integration by Parts 16-2 Volume and Average Value 16-3 Continuous Money Flow 16-4 Improper Integrals 16-5 Solutions of Elementary and Separable Differential Equations (Section 10.1 of CWA) Chapter Review Extended Application: Estimating Learning Curves in Manufacturing with Integrals Chapter 17: Multivariable Calculus (Chapter 9 of CWA) 17-1 Functions of Several Variables 17-2 Partial Derivatives 17-3 Maxima and Minima 17-4 Lagrange Multipliers 17-5 Total Differentials and Approximations 17-6 Double Integrals Chapter Review Extended Application: Using Multivariable Fitting to Create a Response Surface Design Chapter 18: Probability and Calculus (Chapter 11 of CWA) 18-1 Continuous Probability Models 18-2 Expected Value and Variance of Continuous Random Variables 18-3 Special Probability Density Functions Chapter Review Extended Application: Exponential Waiting Times Tables Table 1 Formulas of/from Geometry Table 2 Area Under a Normal Curve Table 3 Integrals Answers to Selected Exercises Photo Acknowledgements Index
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