Interactive Finite Mathematics, 1st edition

Published by Pearson (March 22, 2021) © 2022

  • Nathan P. Ritchey Edinboro University of PA , Youngstown State University
  • Brian Rickard University of Arkansas
  • Roneet Merkin Florida International University
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Platform features

  • Pearson+ eTextbook with study tools
  • Tailored feedback on assignments
  • Interactive course-specific content
  • Real-time analytics and insights

Getting motivated for your finite math course can be a challenge. With Interactive Finite Mathematics, you learn math by seeing and doing math entirely through video. This unique resource weaves together short, dynamic videos, occasional text screens with key ideas and formulas, and MyLab Math assessment questions. The videos use visual and auditory cues, interactive figures, animations and other learning aids that are not available in a traditional textbook. They are authored and narrated by mathematicians who are active in the classroom and experienced with video teaching and learning, having taught this course many times. Interactive Finite Mathematics is built entirely in MyLab Math, replacing the traditional textbook with an online learning experience and using content that has undergone thorough development. The flexibility of MyLab plus the authors' extensive teaching experience make this an ideal solution for traditional lecture, online, hybrid or flipped course formats.

1. Linear Functions

  • 1-1 Slopes and Equations of Lines
  • 1-2 Linear Functions and Applications
  • 1-3 The Least Squares Line
  • Chapter Review
  • Extended Application: Using Extrapolation to Predict Life Expectancy

2. Systems of Linear Equations and Matrices

  • 2-1 Solution of Linear Systems by the Echelon Method 2-2 Solution of Linear Systems by the Gauss-Jordan Method
  • 2-3 Addition and Subtraction of Matrices
  • 2-4 Multiplication of Matrices
  • 2-5 Matrix Inverses
  • 2-6 Input-Output Models
  • Chapter Review
  • Extended Application: Contagion

3. Linear Programming: The Graphical Method

  • 3-1 Graphing Linear Inequalities
  • 3-2 Solving Linear Programming Problems Graphically
  • 3-3 Applications of Linear Programming
  • Chapter Review

4. Linear Programming: The Simplex Method

  • 4-1 Slack Variables and the Pivot
  • 4-2 Maximization Problems
  • 4-3 Minimization Problems; Duality
  • 4-4 Nonstandard Problems
  • Chapter Review
  • Extended Application: Using Integer Programming in the Stock-Cutting Problem

5. Mathematics of Finance

  • 5-1 Simple and Compound Interest
  • 5-2 Future Value of an Annuity
  • 5-3 Present Value of an Annuity; Amortization
  • Chapter Review
  • Extended Application: Time, Money, and Polynomials

6. Logic

  • 6-1 Statements
  • 6-2 Truth Tables and Equivalent Statements
  • 6-3 The Conditional and Circuits
  • 6-4 More on the Conditional
  • 6-5 Analyzing Arguments and Proofs
  • 6-6 Analyzing Arguments with Quantifiers
  • Chapter Review
  • Extended Application: Logic Puzzles

7. Sets and Probability

  • 7-1 Sets
  • 7-2 Applications of Venn Diagrams
  • 7-3 Introduction to Probability
  • 7-4 Basic Concepts of Probability
  • 7-5 Conditional Probability; Independent Events
  • 7-6 Bayes' Theorem
  • Chapter Review
  • Extended Application: Medical Diagnosis

8. Counting Principles: Further Probability Topics

  • 8-1 The Multiplication Principle; Permutations
  • 8-2 Combinations
  • 8-3 Probability Applications of Counting Principles
  • 8-4 Binomial Probability
  • 8-5 Probability Distributions; Expected Value
  • Chapter Review
  • Extended Application: Optimal Inventory for a Service Truck

9. Statistics

  • 9-1 Frequency Distributions; Measures of Central Tendency
  • 9-2 Measures of Variation
  • 9-3 The Normal Distribution
  • 9-4 Normal Approximation to the Binomial
  • Distribution
  • Chapter Review
  • Extended Application: Statistics in the Law - The Castaneda Decision

10. Markov Chains

  • 10-1 Basic Properties of Markov Chains
  • 10-2 Regular Markov Chains
  • 10-3 Absorbing Markov Chains
  • Chapter Review
  • Extended Application: A Markov Chain Model for Teacher Retention

11. Game Theory

  • 11.1 Strictly Determined Games
  • 11.2 Mixed Strategies
  • 11.3 Game Theory and Linear Programming
  • Chapter Review
  • Extended Application: The Prisoner's Dilemma - Non-Zero-Sum Games in Economics

R. Algebra Reference

  • R-1 Polynomials
  • R-2 Factoring
  • R-3 Rational Expressions
  • R-4 Equations
  • R-5 Inequalities
  • R-6 Exponents
  • R-7 Radicals
    Area Under a Normal Curve
    Answers to Selected Exercises
    Photo Acknowledgements
    Index

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