Finite mathematics and calculus with applications
Author(s)
Bibliographic Information
Finite mathematics and calculus with applications
Pearson Addison Wesley, c2009
8th ed
Available at / 3 libraries
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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 (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
by "Nielsen BookData"