Finite Mathematics and Applied Calculus

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2003-06-01
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Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, 4th Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft Excel and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.

Table of Contents

Algebra Review
Real Numbers
Exponents and Radicals
Multiplying and Factoring Algebraic Equations
Rational Expressions
Solving Polynomial Equations
Solving Miscellaneous Equations
Functions and Linear Models
Functions from the Numerical and Algebraic Viewpoints
Functions from the Graphical Viewpoint
Linear Functions
Linear Models
Linear Regression
Key Concepts
Review Exercises
Case Study: Modeling Spending on Internet Advertising
Technology Guides
Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions
Systems of Linear Equations and Matrices
Systems of Two Equations in Two Unknowns
Using Matrices to Solve Systems of Equations
Applications of Systems of Linear Equations
Key Concepts
Review Exercises
Case Study: The Impact of Regulating Sulfur Emissions
Technology Guides
Matrix Algebra and Applications
Matrix Addition and Scalar Multiplication
Matrix Multiplication
Matrix Inversion
Matrices in Practice: Game Theory
Matrices in Practice: Input-Output Models
Key Concepts
Review Exercises
Case Study: The Japanese Economy
Technology Guides
Linear Programming
Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
The Simplex Method: Solving Standard Maximization Problems
The Simplex Method: Solving General Linear Programming Problems
The Simplex Method and Duality (Optional)
Key Concepts
Review Exercises
Case Study: Airline Scheduling
Technology Guides
The Mathematics of Finance
Simple Interest
Compound Interest
Annuities, Loans, and Bonds
Key Concepts
Review Exercises
Case Study: Saving for College
Technology Guides
Sets and Counting
Sets and Set Operations
The Addition and Multiplication Principles
Permutations and Combinations
Key Concepts
Review Exercises
Case Study: Designing a Puzzle
Technology Guides
Sample Spaces and Events
Estimated Probability
Theoretical Probability and Probability Distributions
Probability and Counting Techniques (optional)
Conditional Probability and Independence
Bayes' Theorem and Applications
Probability in Practice: Markov Systems
Key Concepts
Review Exercises
Case Study: The Monty Hall Problem
Technology Guides
Random Variables and Statistics
Random Variables and Distributions
Bernoulli Trials and Binomial Random Variables
Measures of Central Tendency
Measures of Dispersion
Normal Distributions
Key Concepts
Review Exercises
Case Study: Spotting Tax Fraud with Benford's Law
Technology Guides
Optional Internet Topics: Sampling Distributions and the Central Limit Theorem
Confidence Intervals
Hypothesis Testing
Nonlinear Models
Quadratic Functions and Models
Exponential Functions and Models
Logarithmic Functions and Models
Logistic Functions and Models
Key Concepts
Review Exercises
Case Study: Checking up on Malthus
Technology Guides
Optional Internet Topics: Inverse Functions
Using and Deriving Algebraic Properties of Logarithms
Introduction to the Derivative
Limits: Numerical and Graphical Approaches
Limits and Continuity
Limits: Algebraic Approach
Average Rate of Change
Derivatives: Numerical and Graphical Viewpoints
Derivatives: Algebraic Viewpoint
Derivatives of Powers, Sums, and Constant Multiples
A First Application: Marginal Analysis
Key Concepts
Review Exercises
Case Study: Reducing Sulfur Emissions
Technology Guides
Optional Internet Topics: Sketching the Graph of the Derivative
Proof of the Power Rule
Continuity and Differentiability
Techniques of Differentiation
The Product and Quotient Rules
The Chain Rule
Derivatives of Logarithmic and Exponential Functions
Implicit Differentiation
Key Concepts
Review Exercises
Case Study: Projecting Market Growth
Technology Guides
Optional Internet Topic: Linear Approximation and Error Estimation
Applications of the Derivative
Maxima and Minima
Applications of Maxima and Minima
The Second Derivative and Analyzing Graphs
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