Finite Mathematics and Calculus with Applications
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Finite Mathematics and Calculus with Applications

Finite Mathematics and Calculus with Applications

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About the Book

Widely known for incorporating interesting, relevant and realistic applications, this new edition offers many more real applications citing real data sources. It also allows for increased visualization and discovery through optional use of graphing calculators. A dedicated World Wide Web site rounds out the teaching and learning package, offering projects based on current events, and graphing calculator programs tied to the text.

Table of Contents:
R. Algebra Reference. Polynomials. Factoring. Rational Expressions. Equations. Inequalities. Exponents. Radicals. 1. Linear Functions. Slope and Equations of a Line. Linear Functions. Linear Mathematical Models. Constructing a Mathematical Model. Review Exercises. Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants. Extended Application: Depreciation. 2. Systems of Linear Equations and Matrices. Solution of Linear Systems by the Echelon Method. Solution of Linear Systems by the Gauss-Jordan Method. Addition and Subtraction of Matrices. Multiplication of Matrices. Matrix Inverses. Input-Output Models. Review Exercises. Extended Application: Contagion. 3. Linear Programming: The Graphical Method. Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. Applications of Linear Programming. Review Exercises. 4. Linear Programming: The Simplex Method. Slack Variables and the Pivot. Maximization Problems. Minimization Problems; Duality. Nonstandard Problems. Review Exercises. Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix. 5. Mathematics of Finance. Simple and Compound Interest. Future Value of an Annuity. Present Value of an Annuity; Amortization. A Strategy for Solving Finance Problems. Review Exercises. Extended Application: Time, Money, and Polynomials. 6. Sets and Probability. Sets. Applications of Venn Diagrams. Introduction to Probability. Basic Concepts of Probability. Conditional Probability; Independent Events. Bayes' Theorem. Probability Summary. Review Exercises. Extended Application: Medical Diagnosis. 7. Counting Principles; Further Probability Topics. The Multiplication Principle; Permutations. Combinations. Probability Applications of Counting Principles. Binomial Probability. Probability Distributions; Expected Value. Review Exercises. Extended Application: Optimal Inventory for a Service Truck. 8. Statistics. Frequency Distributions; Measures of Central Tendency. Measures of Variation. The Normal Distribution. Normal Approximation to the Binomial Distribution. Review Exercises. 9. Markov Chains. Basic Properties of Markov Chains. Regular Markov Chains. Absorbing Markov Chains. Review Exercises. Extended Application: Cavities and Restoration. 10. Game Theory. Strictly Determined Games. Mixed Strategies. Game Theory and Linear Programming. Review Exercises. Extended Application: Decision Making in the Military. 11. Nonlinear Functions. Properties of Functions. Quadratic Functions. Translations and Reflections of Functions. Polynomial and Rational Functions. Exponential Functions. Logarithmic Functions. Applications: Growth and Decay; Mathematics of Finance. Review Exercises. Extended Application: Characteristics of the Monkeyface Prickleback. 12. The Derivative. Limits. Continuity. Rates of Change. Definition of the Derivative. Graphical Differentiation. Review Exercises. 13. Calculating the Derivative. Techniques for Finding Derivatives. Derivatives of Products and Quotients. The Chain Rule. Derivatives of Exponential Functions. Derivatives of Logarithmic. Functions. Review Exercises. 14. Graphs and the Derivative. Increasing and Decreasing Functions. Relative Extrema. Higher Derivatives, Concavity, and the Second Derivative Test. Curve Sketching. Review Exercises. 15. Applications of the Derivative. Absolute Extrema. Applications of Extrema. Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand. Implicit Differentiation. Related Rates. Differentials: Linear Approximation. Review Exercises. Extended Application: A Total Cost Model for a Training Program. Extended Application: The Effect of Oil Price on the Optimal Speed of Ships. 16. Integration. Antiderivatives. Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. The Area Between Two Curves. Numerical Integration. Review Exercises. Extended Application: Estimating Depletion Dates for Minerals. 17. Further Techniques and Applications of Integration.] Integration By Parts; Tables of Integrals. Volume and Average Value. Continuous Money Flow. Improper Integrals. Solutions of Elementary and Separable Differential Equations. Review Exercises. Extended Application: How Much Does a Warranty Cost? 18. Multivariable Calculus. Functions of Several Variables. Partial Derivatives. Maxima and Minima. Lagrange Multipliers. Total Differentials and Approximations. Double Integrals. Review Exercises. Extended Application: Lagrange Multipliers for a Predator. 19. Probability and Calculus. Continuous Probability Models. Expected Value and Variance of Continuous Random Variables. Special Probability Density Functions. Review Exercises. Extended Application: A Crop-Planting Model.


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Product Details
  • ISBN-13: 9780321016331
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 260 mm
  • Spine Width: 50 mm
  • Width: 210 mm
  • ISBN-10: 0321016335
  • Publisher Date: 01 Feb 1999
  • Binding: Hardback
  • Language: English
  • Weight: 2044 gr


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