by Paul E. Long, Paula Grafton Young, Todd Lee and Jay Graening
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Finite Math is often a required course, taken by students who come with a weak math background and struggle with the subject. Young/Lee's Finite Mathematics: An Applied Approach 3rd Edition is written with these students in mind. Despite the excellent variety of drill, practice and conceptual problems laced with relevant real-world applications, students in finite math often struggle, prompting them to lean on the chapter's examples for help.
In this text, the authors provide examples that are not just quick recipes to be applied to a particular problem, but rather they offer actual insight into the problem at hand, as well to the general concept being developed. The examples help the students retain important concepts and then apply them in the exercises that follow. Using color in a way that carries the student's eye into the exposition that surrounds an example, the student is led, gently, to generalization and understanding. Young/Lee have found that delicate balance between accurate, precise and useful mathematics and aiding the struggling student towards successfully learning it.
Features
New To This Edition
Author Bio
Young, Paula Grafton : Salem College
Lee, Todd : Elon University
Long, Paul E. : University of Arkansas
Graening, Jay : University of Arkansas
1. Applications of Linear Functions.
The Cartesian Plane and Graphing.
Equations of Straight Lines.
Linear Modeling.
Two Lines: Relating the Geometry to the Equations.
Regression and Correlation.
2. Systems of Linear Equations.
Linear Systems as Mathematical Models.
Linear Systems Having One or No Solutions.
Linear Systems having Many Solutions.
3. Matrix Algebra.
Matrix Addition and Applications.
Matrix Multiplication and Applications.
The Inverse of a Matrix.
More Applications of Inverses.
4. Linear Programming: The Graphical Method.
Modeling Linear Programming Problems.
Linear Inequalities in Two variables.
Solving Linear Programming Problems Graphically.
5. Linear Programming: The Simplex Method.
Slack Variables and Pivoting.
The Simplex Algorithm: Maximization.
The Simplex Algorithm: Minimization.
Nonstandard Problems: Crown's Rules.
The Dual Problem.
6. Mathematics of Finance.
Simple and Compound Interest.
Ordinary Annuities.
Consumer Loans and Amortization.
7. Logic, Sets, and Counting Techniques.
Logic.
Truth Tables.
Sets, Set Operations, and Venn Diagrams.
Applications of Venn Diagrams.
Counting: The Multiplication Principle.
Permutations.
Combinations.
8. Basic Concepts of Probability.
Sample Spaces with Equally Likely Outcomes.
Outcomes with Unequal Probability; Odds.
Discrete Random Variables and Expected Value.
9. Additional Topics in Probability.
Addition Rules for Probability and Mutually Exclusive Events.
Conditional Probability.
Multiplications Rules Probability and Independent Events.
Bayes' Theorem.
The Binomial Distribution.
10. Statistics.
Organizing Data; Frequency Distributions.
Measures of Central Tendency.
Measures of Dispersion.
Continuous Random Variables and the Normal Distribution.
11. Markov Chains.
Markov Chains as Mathematical Models.
State Vectors.
Regular Markov Chains.
12. Game Theory: Two Player, Zero-Sum Games.
Strictly Determined Games.
The Expected Value of Games with Mixed Strategies.
Solving Mixed-Strategy Games.
Appendices.
Appendix I: Algebra Review.
Appendix II: Introduction to Spreadsheets.
Appendix III: Standard Normal Table.
Appendix IV: Solutions to Odd Numbered Exercises.
Index.
Paul E. Long, Paula Grafton Young, Todd Lee and Jay Graening
ISBN13: 978-0321173348Finite Math is often a required course, taken by students who come with a weak math background and struggle with the subject. Young/Lee's Finite Mathematics: An Applied Approach 3rd Edition is written with these students in mind. Despite the excellent variety of drill, practice and conceptual problems laced with relevant real-world applications, students in finite math often struggle, prompting them to lean on the chapter's examples for help.
In this text, the authors provide examples that are not just quick recipes to be applied to a particular problem, but rather they offer actual insight into the problem at hand, as well to the general concept being developed. The examples help the students retain important concepts and then apply them in the exercises that follow. Using color in a way that carries the student's eye into the exposition that surrounds an example, the student is led, gently, to generalization and understanding. Young/Lee have found that delicate balance between accurate, precise and useful mathematics and aiding the struggling student towards successfully learning it.
Features
New To This Edition
Author Bio
Young, Paula Grafton : Salem College
Lee, Todd : Elon University
Long, Paul E. : University of Arkansas
Graening, Jay : University of Arkansas
Table of Contents
1. Applications of Linear Functions.
The Cartesian Plane and Graphing.
Equations of Straight Lines.
Linear Modeling.
Two Lines: Relating the Geometry to the Equations.
Regression and Correlation.
2. Systems of Linear Equations.
Linear Systems as Mathematical Models.
Linear Systems Having One or No Solutions.
Linear Systems having Many Solutions.
3. Matrix Algebra.
Matrix Addition and Applications.
Matrix Multiplication and Applications.
The Inverse of a Matrix.
More Applications of Inverses.
4. Linear Programming: The Graphical Method.
Modeling Linear Programming Problems.
Linear Inequalities in Two variables.
Solving Linear Programming Problems Graphically.
5. Linear Programming: The Simplex Method.
Slack Variables and Pivoting.
The Simplex Algorithm: Maximization.
The Simplex Algorithm: Minimization.
Nonstandard Problems: Crown's Rules.
The Dual Problem.
6. Mathematics of Finance.
Simple and Compound Interest.
Ordinary Annuities.
Consumer Loans and Amortization.
7. Logic, Sets, and Counting Techniques.
Logic.
Truth Tables.
Sets, Set Operations, and Venn Diagrams.
Applications of Venn Diagrams.
Counting: The Multiplication Principle.
Permutations.
Combinations.
8. Basic Concepts of Probability.
Sample Spaces with Equally Likely Outcomes.
Outcomes with Unequal Probability; Odds.
Discrete Random Variables and Expected Value.
9. Additional Topics in Probability.
Addition Rules for Probability and Mutually Exclusive Events.
Conditional Probability.
Multiplications Rules Probability and Independent Events.
Bayes' Theorem.
The Binomial Distribution.
10. Statistics.
Organizing Data; Frequency Distributions.
Measures of Central Tendency.
Measures of Dispersion.
Continuous Random Variables and the Normal Distribution.
11. Markov Chains.
Markov Chains as Mathematical Models.
State Vectors.
Regular Markov Chains.
12. Game Theory: Two Player, Zero-Sum Games.
Strictly Determined Games.
The Expected Value of Games with Mixed Strategies.
Solving Mixed-Strategy Games.
Appendices.
Appendix I: Algebra Review.
Appendix II: Introduction to Spreadsheets.
Appendix III: Standard Normal Table.
Appendix IV: Solutions to Odd Numbered Exercises.
Index.