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Finite Math and Applied Calculus, Enhanced Review Edition
ISBN: 9780495390367 | 0495390364
Edition: 4thFormat: Paperback
Publisher: Cengage Learning
Pub. Date: 4/27/2007
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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 webs... MORE
| 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 | ... MORE|
| 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 | |
| Cardinality | |
| The Addition and Multiplication Principles | |
| Permutations and Combinations | |
| Key Concepts | |
| Review Exercises | |
| Case Study: Designing a Puzzle | |
| Technology Guides | |
| Probability | |
| 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 | |
| R | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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