Finite Mathematics and Applied Calculus
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Finite Mathematics and Applied Calculus

Finite Mathematics and Applied Calculus


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About the Book

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(r) Excel(r) 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:
1. FUNCTIONS AND LINEAR MODELS. Functions from the Numerical and Algebraic Viewpoints. Functions from the Graphical Viewpoint. Linear Functions. Linear Models. Linear Regression. Chapter Project: Modeling Spending on Internet Advertising. 2. 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. Chapter Project: The Impact of Regulating Sulfur Emissions. 3. MATRIX ALGEBRA AND APPLICATIONS. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Input-Output Models. Chapter Project: The Japanese Economy. 4. 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). Chapter Project: Airline Scheduling. 5. THE MATHEMATICS OF FINANACE. Simple Interest. Compound Interest. Annuities, Loans, and Bonds. Chapter Project: Saving for College. 6. SETS AND COUNTING. Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations. Chapter Project: Designing a Puzzle. 7. PROBABILITY. Sample Spaces and Events. Estimated Probability. Empirical Probability. Probability and Counting Techniques. Probability Distributions. Conditional Probability and Independence. Bayes' Theorem and Applications. Chapter Project: The Monty Hall Problem. 8. RANDOM VARIABLES AND STATISTICS. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions. Chapter Project: Spotting Tax Fraud with Benford's Law. Optional Internet Topics: Sampling Distributions and the Central Limit Theorem. Confidence Intervals. Hypothesis Testing. 9. MARKOV SYSTEMS. Markov Systems. Distribution Vectors and Powers of the Transition Matrix. Long-Range Behavior of Regular Markov Systems. Absorbing Markov Systems. Chapter Project: Predicting the Price of Gold. 10. NONLINEAR MODELS. Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models. Chapter Project: Checking up on Malthus. Optional Internet Topics: Inverse Functions. Linear and Exponential Regression. Using and Deriving Algebraic Properties of Logarithms. 11. INTRODUCTION TO THE DERIVATIVE. Average Rate of Change. The Derivative: Numerical and Graphical Viewpoints. The Derivative: Algebraic Viewpoint. Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. Limits: Numerical and Graphical Approaches. Limits and Continuity. Limits and Continuity: Algebraic Approach. Chapter Project: Reducing Sulfur Emissions. Optional Internet Topics: Sketching the Graph of the Derivative. Proof of the Power Rule. Continuity and Differentiability. 12. TECHNIQUES OF DIFFERENTIATION. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation. Chapter Project: Projecting Market Growth. Optional Internet Topic: Linear Approximation and Error Estimation. 13. APPLICATIONS OF THE DERIVATIVE. Maxima and Minima. Applications of Maxima and Minima. The Second Derivative and Analyzing Graphs. Related Rates. Elasticity. Chapter Project: Production Lot Size Management. 14. THE INTEGRAL. The Indefinite Integral. Substitution. The Definite Integral as a Sum: A Numerical Approach. The Definite Integral as Area: A Geometric Approach. The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus. Chapter Project: Wage Inflation. Optional Internet Topic: Numerical Integration. 15. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. Integration by Parts. Area Between Two Curves and Applications. Averages and Moving Averages. Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications. Chapter Project: Estimating Tax Revenues. 16. FUNCTIONS OF SEVERAL VARIABLES. Functions of Several Variables from the Numerical and Algebraic Viewpoints. Three Dimensional Space and the Graph of a Function of Two Variables. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals. Chapter Project: Modeling Household Income. 17. TRIGONOMETRIC MODELS. Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications. Chapter Project: Predicting Cocoa Inventories. APPENDICES. Algebra Review. Table: Area Under a Normal Curve. OPTIONAL INTERNET CHAPTERS. G. GAME THEORY. Two-Person Zero Sum Games; Reduction by Dominance. Strictly Determined Games. Solving Games using the Simplex Method. Expert Opinion--Harvesting Forests. L. INTRODUCTION TO LOGIC. Statements and Logical Operators. Logical Equivalence, Tautologies and Contradictions. The Conditional and the Biconditional. Tautological Implications and Tautological Equivalences. Rules of Inference. Arguments and Proofs. S. CALCULUS APPLIED TO PROBABILITY AND STATISTICS. Continuous Random Variables and Histograms. Probability Density Functions: Uniform, Exponential, Normal, and Beta. Mean, Median, Variance and Standard Deviation. Chapter Project: Creating a Family Trust.


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Product Details
  • ISBN-13: 9780495019480
  • Publisher: Cengage Learning, Inc
  • Publisher Imprint: Brooks/Cole
  • Edition: Revised edition
  • Spine Width: 38 mm
  • Width: 203 mm
  • ISBN-10: 0495019488
  • Publisher Date: 04 Mar 2007
  • Binding: Paperback
  • Height: 249 mm
  • Weight: 2066 gr


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