Mathematics with Applications: In the Management, Natural and Social Sciences / Edition 7

Mathematics with Applications: In the Management, Natural and Social Sciences / Edition 7

by Thomas W. Hungerford
     
 

ISBN-10: 0321022947

ISBN-13: 9780321022943

Pub. Date: 08/11/1998

Publisher: Addison-Wesley

This edition of Mathematics with Applications continues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. Also, at our customers'

Overview

This edition of Mathematics with Applications continues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. Also, at our customers' request, this textbook has additional calculus content, allowing the book to be all that you need and more.

Product Details

ISBN-13:
9780321022943
Publisher:
Addison-Wesley
Publication date:
08/11/1998
Edition description:
Older Edition
Pages:
880
Product dimensions:
8.28(w) x 10.31(h) x 1.61(d)

Table of Contents

Chapter 1         Algebra and Equations

                        1.1 The Real Numbers

                        1.2 Polynomials

                        1.3 Factoring

                        1.4 Rational Expressions

                        1.5 Exponents and Radicals

                        1.6 First-Degree Equations

                        1.7 Quadratic Equations

Case 1: Consumers Often Defy Common Sense

 

Chapter 2        Graphs, Lines, and Inequalities

                        2.1 Graphs

                        2.2 Equations of Lines

                        2.3 Linear Models

                        2.4 Linear Inequalities

                        2.5 Polynomial and Rational Inequalities

Case 2: Using Extrapolation to Predict Life Expectancy

  

Chapter 3         Functions and Graphs

                        3.1 Functions

                        3.2 Graphs of Functions

                         3.3 Applications of Linear Functions

                        3.4 Quadratic Functions

                        3.5 Applications of Quadratic Functions

                        3.6 Polynomial Functions

                        3.7 Rational Functions

Case 3: Architectural Arches

 

Chapter 4         Exponential and Logarithmic Functions

                        4.1 Exponential Functions

                        4.2 Applications of Exponential Functions

                         4.3 Logarithmic Functions

                        4.4 Logarithmic and Exponential Equations

Case 4: Characteristics of the Monkeyface Prickleback

  

Chapter 5         Mathematics of Finance

                        5.1 Simple Interest and Discount

                        5.2 Compound Interest

                        5.3 Future Value of an Annuity and Sinking Funds

                        5.4 Present Value of an Annuity and Amortization

Case 5: Time, Money, and Polynomials

 

Chapter 6         Systems of Linear Equations and Matrices

                         6.1 Systems of Linear Equations

                        6.2 The Gauss-Jordan Method

                        6.3 Basic Matrix Operations

                        6.4 Matrix Products and Inverses

                        6.5 Applications of Matrices

Case 6: Matrix Operations and Airline Route Maps      

 

 Chapter 7         Linear Programming

                        7.1 Graphing Linear Inequalities in Two Variables

                        7.2 Linear Programming: The Graphical Method

                         7.3 Applications of Linear Programming

                        7.4 The Simplex Method: Maximization

                        7.5 Maximization Applications

                        7.6 The Simplex Method: Duality and Minimization

                        7.7 The Simplex Method: Nonstandard Problems

Case 7: Cooking with Linear Programming

 

 Chapter 8         Sets and Probability

                        8.1 Sets

                        8.2 Applications of Venn Diagrams

                         8.3 Introduction to Probability

                        8.4 Basic Concepts of Probability

                        8.5 Conditional Probability and Independent Events

                        8.6 Bayes’ Formula

Case 8: Medical Diagnosis

        

 Chapter 9         Counting, Probability Distributions, and Further Topics in Probability

                        9.1 Probability Distributions and Expected Value

                        9.2 The Multiplication Principle, Permutations, and Combinations

                        9.3 Applications of Counting

                         9.4 Binomial Probability

                        9.5 Markov Chains

                        9.6 Decision Making

Case 9: Optimal Inventory for a Service Truck

  

Chapter 10       Introduction to Statistics

                        10.1 Frequency Distributions and Measures of Central Tendency

                        10.2 Measures of Variation

                        10.3 Normal Distributions

                        10.4 Normal Approximation to the Binomial Distribution

Case 10: Statistics in the Law—The Castaneda Decision

  

Chapter 11     Differential Calculus

                        11.1 Limits

                        11.2 One-sided Limits and Limits Involving Infinity

                        11.3 Rates of Change

                        11.4 Tangent Lines and Derivatives

                        11.5 Techniques for Finding Derivatives

                        11.6 Derivatives of Products and Quotients

                        11.7 The Chain Rule

                        11.8 Derivatives of Exponential and Logarithmic Functions

                        11.9 Continuity and Differentiability

Case 11: Price Elasticity of Demand

 

 Chapter 12     Applications of the Derivative

                        12.1 Derivatives and Graphs

                        12.2 The Second Derivative

                        12.3 Optimization Applications

                        12.4 Curve Sketching

Case 12: A Total Cost Model for a Training Program

 

Chapter 13     Integral Calculus

                        13.1 Antiderivatives

                         13.2 Integration by Substitution

                        13.3 Area and the Definite Integral

                        13.4 The Fundamental Theorem of Calculus

                        13.5 Applications of Integrals

                        13.6 Tables of Integrals (Optional)

                        13.7 Differential Equations

Case 13: Bounded Population Growth

 

 Chapter 14     Multivariate Calculus

                        14.1 Functions of Several Variables

                         14.2 Partial Derivatives

                        14.3 Extrema of Functions of Several Variables

Case 14: Global Warming and the Method of Least Squares

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