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 concep
ts 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.
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. ...show less
Edition/Copyright:96 Cover: Publisher:Harpercollins College Division Year Published: 1996 International: No
View Author Bio
Waner, Stefan : Hofstra University
Costenoble, Steven R. : Hofstra University
View 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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