Mathematical Applications For the Management, Life, and Social Sciences

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  • Edition: 8th
  • Format: Hardcover
  • Copyright: 2006-01-04
  • Publisher: Brooks Cole
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Intended for a two-term applied calculus or finite mathematics and applied calculus course,Mathematical Applications,8/e, presents concepts and skills in an approachable way for students of varying abilities and interests. The Eighth Edition retains the features that have made this text a popular choice, including applications covering diverse topics that are important to students in the management, life, and social sciences. This edition broadens the represented applications by adding a number of environmental science applications. The use of modeling has also been expanded, with modeling problems now clearly labeled in the examples. New!Technology Noteshave been separated intoCalculator NotesandSpreadsheet Notesto provide more precise instruction for using calculators and Excel. Chapter Warm Upsappear at the beginning of each chapter to allow instructors and students an easy way to assess whether the student is prepared to begin the new material. Check Pointsask questions and prose problems that help students check their understanding of skills and concepts before they proceed further into the chapter. Solutions appear before the section exercises. New!Application Previewsbegin each section and establish the context and direction for the concepts that will be covered. In this edition, these previews are revisited in completely worked-out examples later in the lesson. Applications contexts are clearly labeled so instructors can select the applications of interest to the students majoring in various disciplines. More than 2000 of the 5500 exercises in the book are applied problems, allowing students to learn practical applications of mathematical concepts.

Table of Contents

Preliminary Contents
Algebraic Concepts
The Real Numbers
Integral Exponents
Radicals and Rational Exponents
Operations with Algebraic Expressions
Algebraic Fractions
Linear Equations and Functions
Solution of Linear Equations and Inequalities in one Variable
Linear Functions
Graphs and Graphing Utilities
Solutions of Systems of Linear Equations
Applications of Functions in Business and Economics
Special Functions
Quadratic Equations
Quadratic Functions: Parabolas
Business Applications of Quadratic Functions
Special Functions and Their Graphs
Modeling; Fitting Curves to Data with Graphing Utilities
Multiplication of Matrices
Gauss-Jordan Elimination: Solving Systems of Equations
Inverse of a Square Matrix; Matrix Equations
Applications of Matrices: Leontief Input-Output Models
Inequalities and Linear Programming
Linear Inequalities in Two Variables
Linear Programming: Graphical Methods
The Simplex Method: Maximization
The Simplex Method: Duality and Minimization
The Simplex Method with Mixed Constraints
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions and Their Properties
Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions
Mathematics of Finance
Simple Interest; Sequences
Compound Interest; Geometric Sequences
Future Value of Annuities
Present Value of Annuities
Loans and Amortization
Introduction to Probability
Probability: Odds
Unions and Intersections of Events: One-Trial Experiments
Conditional Probability: The Product Rule
Probability Trees and Bayes' Formula
Counting: Permutations and Combinations
Permutations, Combinations, and Probability
Markov Chains
Further Topics in Probability: Data Description
Binomial Probability Experiments
Data Description
Discrete Probability Distributions
Normal Probability Distribution
Continuous Functions; Limits at Infinity
Average and Instantaneous Rates of Change: The Derivative
Derivative Formulas
The Product Rule and the Quotient Rule
The Chain Rule and the Power Rule
Using Derivative Formulas
Higher-Order Derivatives
Applications of Derivatives in Business and Economics
Applications of Derivatives
Relative Maxima and Minima: Curve Sketching
Concavity: Points of Inflection
Optimization in Business and Economics
Applications of Maxima and Minima
Asymptotes: More Curve Sketching
Derivatives Continued
Derivatives of Logarithmic Functions
Derivatives of Exponential Functions
Implicit Differentiation
Related Rates
Applications in Business and Economics
Indefinite Integrals
The Indefinite Integral
The Power Rule
Integrals Involving Exponential and Logarithmic Functions
Applications of the Indefinite Integral in Business and Economics
Differential Equations
Definite Integrals: Techniques of Integration
Area Under a Curve
The Definite Integral: The Fundamental Theorem of Calculus
Area Between Two Curves
Applications of Definite Integrals in Business and Economics
Using Tables of Integrals
Integration by Parts
Improper Integrals and Their Applications
Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule
Functions of Two or More Variables
Functions of Two or more Variables
Partial Differentiation
Applications of Functions of Two Variables in Business and Economics
Maxima and Minima
Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers
Table of Contents provided by Publisher. All Rights Reserved.

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