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The Second Edition of this engaging text for the one-semester finite mathematics course continues to use intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers.
Summaries and reviews appear frequently throughout the text to support students' mastery of mathematical concepts. A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills.
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
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
5. Probability
Application Preview: The Chevalier de Mere
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
8. Game Theory
Application Preview: Sherlock Holmes and James Moriarty
8.1 Two-Person Games and Saddle Points
8.2 Mixed Strategies
8.3 Games and Linear Programming
Appendix: Normal Probabilities Using Tables
Answers to Selected Exercises
Index
Index of Selected Applications (inside front cover)
Useful Definitions, Formulas, and Properties (inside back cover)
Available on the Web
L. Logic
L.1 Statements and Connectives
Application Preview: Grammar, Logic, and Rhetoric
L.2 Truth Tables
Application Preview: Circuits
L.3 Implications
Application Preview: "If", then" as a Computer Instruction
L.4 Valid Arguments
Application Preview: Fuzzy Logic and Artificial Intelligence
L.5 Quantifiers and Euler Diagrams
Application Preview: The Dog Walking Ordinance
Chapter Projects and Essays
Geoffrey C. Berresford and Andrew M. Rockett
ISBN13: 978-0618372218The Second Edition of this engaging text for the one-semester finite mathematics course continues to use intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers.
Summaries and reviews appear frequently throughout the text to support students' mastery of mathematical concepts. A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills.
Table of Contents
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
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
5. Probability
Application Preview: The Chevalier de Mere
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
8. Game Theory
Application Preview: Sherlock Holmes and James Moriarty
8.1 Two-Person Games and Saddle Points
8.2 Mixed Strategies
8.3 Games and Linear Programming
Appendix: Normal Probabilities Using Tables
Answers to Selected Exercises
Index
Index of Selected Applications (inside front cover)
Useful Definitions, Formulas, and Properties (inside back cover)
Available on the Web
L. Logic
L.1 Statements and Connectives
Application Preview: Grammar, Logic, and Rhetoric
L.2 Truth Tables
Application Preview: Circuits
L.3 Implications
Application Preview: "If", then" as a Computer Instruction
L.4 Valid Arguments
Application Preview: Fuzzy Logic and Artificial Intelligence
L.5 Quantifiers and Euler Diagrams
Application Preview: The Dog Walking Ordinance
Chapter Projects and Essays