Mathematical Applications for the Management, Life, and Social Sciences

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  • Edition: 9th
  • Format: Hardcover
  • Copyright: 10/24/2008
  • Publisher: Brooks Cole
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MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 9th EDITION is intended for a two-semester applied calculus or combined finite mathematics and applied calculus course. The book's concept-based approach, multiple presentation methods, and interesting and relevant applications keep students who typically take the course—business, economics, life sciences, and social sciences majors—engaged in the material. This edition broadens the book's real-life context by adding a number of environmental science and economic applications. The use of modeling has been expanded, with modeling problems now clearly labeled in the examples. Also included in the Ninth Edition is a brief review of algebra to prepare students with different backgrounds for the material in later chapters.

Table of Contents

Algebraic Concepts
The Real Numbers
Integral Exponents
Radicals and Rational Expressions
Operations with Algebraic Expressions
Algebraic Fractions
Linear Equations and Functions
Solutions 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
Quadratic and Other Special Functions
Quadratic Functions
Quadratic Functions: Parabolas
Business Applications of Quadratic Functions
Special Functions and Their Graphs
Fitting Curves to Data with Graphing Utilities (Optional)
Multiplication of Matrices
Gauss-Jordan Elimination: Solving Systems of Equations
Inverse of a Square Matrix
Matrix Equations
Applications of Matrices: Leontif 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
Solutions of Exponential Equations: Applications of Exponential and Logarithmic Functions
Mathematics of Finance
Simple Interest
Compound Interest
Geometric Sequence
Future Value of Annuities
Present Value of Annuities
Loans and Amortization
Introduction to Probability
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
Binomial Probability Experiments
Data Descriptions
Discrete Probability Distributions
The Binomial Distribution
Normal Probability Distribution
The Normal Curve Approximation to the Binomial 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
Rational Functions: 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
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