Mathematical Applications for the Management Life and Social Sciences

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  • Edition: 7th
  • Format: Paperback
  • Copyright: 2003-03-20
  • Publisher: Brooks Cole
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Intended for a two-semester applied calculus course or a two-term course of finite mathematics and applied calculus, Mathematical Applications, 7/e, presents concepts and skills in an approachable way for students of varying abilities and interests. Applications cover diverse topics that are important to students in the management, life, and social sciences.

Table of Contents

Note: Each chapter includes Key Terms and Formulas, Review Exercises, and a Chapter Test
Algebraic Concepts
The Real Numbers
Integral Exponents
Radicals and Rational Exponents
Operations with Algebraic Expressions
Algebraic Fractions
Extended Applications & Group Projects: Campaign Management
Pricing for Maximum Profit
Linear Equations and Functions
Solution of Linear Equations in One Variable
Linear Functions
Graphs and Graphing Utilities
Solutions of Systems of Linear Equations
Applications of Functions in Business and Economics
Extended Applications & Group Projects: Hospital Administration
Fund Raising
Special Functions
Quadratic Equations
Quadratic Functions; Parabolas
Business Applications of Quadratic Functions
Special Functions and Their Graphs
Fitting Curves to Data with Graphing Utilities
Extended Applications & Group Projects: International Email Usage
Multiplication of Matrices
Gauss-Jordan Elimination: Solving Systems of Equations
Inverse of a Square Matrix; Matrix Equations
Applications of Matrices: Leontief Input-Output Models
Extended Applications & Group Projects: Taxation
Company Profits After Bonuses and Taxes
Inequalities and Linear Programming
Linear Inequalities in One Variable
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
Extended Applications & Group Projects: Transportation
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions and Their Properties
Solution of Exponential Equations; Applications of Exponential and Logarithmic Functions
Extended Applications & Group Projects: Agricultural Business Management
National Debt
Mathematics of Finance
Simple Interest; Sequences
Compound Interest; Geometric Sequences
Future Value of Annuities
Present Value of Annuities
Loans and Amortization
Extended Applications & Group Projects: Mail Solicitation
Home Equity Loan: Is This a Good Deal?
Profit Reinvestment
Purchasing a Home
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
Extended Applications & Group Projects: Phone Numbers
Competition in the Telecommunications Industry
Further Topics in Probability: Data Description
Binomial Probability Experiments
Data Description
Discrete Probability Distributions: Decision Making
The Binomial Distribution
Normal Probability Distribution
Extended Applications & Group Projects: Lotteries; Statistics in Medical Research
Hypothesis Testing
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
Extended Applications & Group Projects: Marginal Return to Sales
Tangent Lines and Optimization 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
More Curve Sketching
Extended Applications & Group Projects: Production Management
Room Pricing in the Off Season
Derivatives Continued
Derivatives of Logarithmic Functions
Derivatives of Exponential Functions
Implicit Differentiation
Related Rates
Applications in Business and Economics
Extended Applications & Group Projects: Inflation
Knowledge Workers
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
Extended Applications & Group Projects: Employee Production Rate
Supply and Demand
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
Extended Applications & Group Projects: Retirement Planning
Purchasing Electrical Power
Functions of Two of 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
Extended Applications & Group Projects: Advertising
Competitive Pricing
Future Value of Ordinary Annuity of $1
Present Value of an Ordinary Annuity of $1
Areas Under the Standard Normal Curve
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