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Finite Mathematics & Calculus Applied to the Real World

Finite Mathematics & Calculus Applied to the Real World - 96 edition

ISBN13: 978-0065018165

Cover of Finite Mathematics & Calculus Applied to the Real World 96 (ISBN 978-0065018165)
ISBN13: 978-0065018165
ISBN10: 0065018168
Cover type:
Edition/Copyright: 96
Publisher: Harpercollins College Division
Published: 1996
International: No

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Finite Mathematics & Calculus Applied to the Real World - 96 edition

ISBN13: 978-0065018165

Stefan Waner

ISBN13: 978-0065018165
ISBN10: 0065018168
Cover type:
Edition/Copyright: 96
Publisher: Harpercollins College Division

Published: 1996
International: No
Summary

Designed for a two-semester sequential course in finite mathematics or an elementary/survey of calculus for students in management or the natural or social sciences, this text helps answer the students' question: What is this stuff good for? by focusing on the relevance of the material, which is emphasized through an abundance of applications based on real data from actual companies and products.

This approach fosters students' understanding of mathematical concepts and by stressing the "rule of four," which is used where appropriate. The authors review each mathematical concept from the numeric, geometric, and analytic points of view and often ask students to give written responses. Optional use of graphing calculators and graphing software is provided throughout. You're the Expert sections put students in decision-making roles and guide them through the modeling process.

Author Bio

Waner, Stefan : Hofstra University

Costenoble, Steven R. : Hofstra University

Table of Contents

Chapter 1: Functions and Graphs

Coordinates and Graphs
Functions and their Graphs
Linear Functions
Linear Models
Quadratic Functions and Models
Solving Equations Using Graphing Calculators or Computers
You're the Expert--Modeling the Demand for Poultry

Chapter 2: Systems of Linear Equations

Systems of Two Linear Equations in Two Unknowns
Using Matrices to Solve Systems with Two Unknowns
Using Matrices to Solve Systems with Three or More Unknowns
Applications for Systems of Linear Equations
You're the Expert--The Impact of Regulating Sulfur Emissions

Chapter 3: Matrix Algebra and Applications

Matrix Addition and Scalar Multiplication
Matrix Multiplication
Matrix Inversion
Input-Output Models
You're the Expert--The Japanese Economy

Chapter 4: Linear Programming

Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
Solving Standard Linear Programming Problems Using the Simplex Method
Solving Nonstandard Linear Programming Problems
You're the Expert--Airline Scheduling

Chapter 5: Sets and Counting

Sets
The Multiplication Principle; Permutations
The Addition Principle; Combinations
You're the Expert--Designing a Puzzle

Chapter 6: Probability

Sample Spaces and Events
Introduction to Probability
Principles of Probability
Counting Techniques and Probability
Conditional Probability and Independence
Bayes' Theorem and Applications
Bernoulli Trials
You're the Expert--The Monty Hall Problem

Chapter 7: Statistics

Random Variables and Distributions
Mean, Median and Mode
Variance and Standard Deviation
Normal Distributions
You're the Expert--Lies, Damned Lies, and Statistics

Chapter 8: Mathematics of Finance

Simple Interest
Compound Interest
Annuities and Loans
You're the Expert--Pricing Auto Loans

Chapter 9: Exponential and Logarithmic Functions

Exponential Functions and Application
Continuous Growth and Decay and the Number e
Logarithmic Functions
Applications of Logarithms
You're the Experts--Epidemics

Chapter 10: Introduction to The Derivative

Rate of Change and the Derivative
Geometric Interpretation of the Derivative
Limits and Continuity
Derivatives of Powers and Polynomials
Marginal Analysis
More on Limits, Continuity and Differentiability
You're the Expert--Reducing Sulfur Emissions

Chapter 11: Techniques of Differentiation

The Product and Quotient Rules
The Chain Rule
Derivatives of Logarithmic and Exponential Functions
Implicit Differentiation
Linear Approximation and Error Estimation
You're the Expert--Estimating Mortgage Rates

Chapter 12: Applications of the Derivative

Maxima and Minima
Applications of Maxima and Minima
The Second Derivative: Acceleration and Concavity
Curve Sketching
Related Rates
Elasticity of Demand
You're the Expert--Production Lot Size Management

Chapter 13: The Integral

The Indefinite Integral
Substitution
Applications of the Indefinite Integral
Geometric Definition of the Definite Integral
Algebraic Definition of the Definite Integral
The Fundamental Theorem of Calculus
Numerical Integration
You're the Expert--The Cost of Issuing a Warranty

Chapter 14: Further Integration Techniques and Applications of the Integral

Integration by Parts
Integration Using Tables
Area between Two Curves and Applications
Averages and Moving Averages
Improper Integrals and Applications
Differential Equations and Applications
You're the Expert--Estimating Tax Revenues

Chapter 15: Functions of Several Variables

Functions of Two or More Variables
Three Dimensional Space and the Graph of a Function of Two Variables
Partial Derivatives
Maxima and Minima
Constrained Maxima and Minima and Applications
Least-Squares Fit
Double Integrals
You're the Expert--Constructing a Best Fit Demand Curve

Appendix A: Algebra Review
Operations on the Real Numbers
Integers Exponents
Radicals and Rational Exponents
The Distributive Law: Multiplying Algebraic Equations
Factoring Algebraic Expressions
Rational Expressions
Equations
Solving Polynomial Equations
Solving Miscellaneous Equations
Appendix B: Using a Graphing Calculator
Appendix C: Using a Computer Spreadsheet
Appendix D: Area Under a Normal Curve
Appendix E: A Table of Integrals

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