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Finite Mathematics and Applied Calculus

by Geoffrey C Berresford

Finite Mathematics And Applied Calculus cover
  • ISBN: 9780618372133
  • ISBN10: 061837213X

Finite Mathematics and Applied Calculus

by Geoffrey C Berresford

  • List Price: $203.95
  • Binding: Hardcover
  • Edition: 2
  • Publisher: Cengage
  • Publish date: 02/23/2004
  • ISBN: 9780618372133
  • ISBN10: 061837213X
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Description: Contents Note: Each chapter concludes with a Chapter Summary with Hints and Suggestions and Review Exercises. 1. Functions Application Preview: World Record Mile Runs 1.1 Real Numbers, Inequalities, and Lines 1.2 Exponents 1.3 Functions 1.4 Functions, Continued 1.5 Exponential Functions 1.6 Logarithmic Functions I. Finite Mathematics 2. Mathematics of Finance Application Preview: Musical Instruments as Investments 2.1 Simple Interest 2.2 Compound Interest 2.3 Annuities 2.4 Amortization 3. Systems of Equations and Matrices Application Preview: A "Taxing" Problem 3.1 Systems of Two Linear Equations in Two Variables 3.2 Matrices and Linear Equations in Two Variables 3.3 Systems of Linear Equations and the Gauss-Jordan Method 3.4 Matrix Arithmetic 3.5 Inverse Matrices and Systems of Linear Equations 3.6 Introduction to Modeling: Leontief Models and Least Squares 4. Linear Programming Application Preview: Managing an Investment Portfolio 4.1 Linear Inequalities 4.2 Two-Variable Linear Programming Problems 4.3 The Simplex Method for Standard Maximum Problems 4.4 Standard Minimum Problems and Duality 4.5* Nonstandard Problems: The Dual Pivot Element and the Two-Stage Method 4.6* Nonstandard Problems: Artificial Variables and the Big-M Method * These two sections provide alternate methods for solving the same types of problems. The choice of which to cover is left to the Instructor. 5. Probability Application Preview: The Chevalier de Mer? 5.1 Sets, Counting, and Venn Diagrams 5.2 Permutations and Combinations 5.3 Probability Spaces 5.4 Conditional Probability and Independence 5.5 Bayes' Formula 5.6 Random Variables and Distributions 6. Statistics Application Preview: Household Income 6.1 Random Samples and Data Organization 6.2 Measures of Central Tendency 6.3 Measures of Variation 6.4 Normal Distributions and Binomial Approximation 7. Markov Chains Application Preview: Weather in Sri Lanka 7.1 States and Transitions 7.2 Regular Markov Chains 7.3 Absorbing Markov Chains II. Calculus 8. Derivatives and Their Uses Application Preview: Temperature, Superconductivity, and Limits 8.1 Limits and Continuity 8.2 Rates of Change, Slopes, and Derivatives 8.3 Some Differentiation Formulas 8.4 The Product and Quotient Rules 8.5 Higher-Order Derivatives 8.6 The Chain Rule and Generalized Power Rule 8.7 Nondifferentiable Functions 9. Further Applications of Derivatives Application Preview: Stevens' Law of Psychophysics 9.1 Graphing Using the First Derivative 9.2 Graphing Using the First and Second Derivatives 9.3 Optimization 9.4 Further Applications of Optimization 9.5 Optimizing Lot Size and Harvest Size 9.6 Implicit Differentiation and Related Rates Cumulative Review for Chapters 1, 8-9 10. Exponential and Logarithmic Functions Application Preview: Elasticity and Social Policy 10.1 Review of Exponential and Logarithmic Functions 10.2 Differentiation of Logarithmic and Exponential Functions 10.3 Two Applications to Economics: Related Rates and Elasticity of Demand 11. Integration and Its Applications Application Preview: Cigarette Smoking 11.1 Antiderivative
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