Finite Mathematics & Its Applications, 13th edition
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Overview
Finite Mathematics & Its Applications is packed with everyday applications like consumer loans, IRAs and mortgages to give you a solid foundation in math for future courses, careers and daily life. Builtin instruction on the latest technology incorporates graphing calculators, spreadsheets and WolframAlpha^{®}. Thousands of wellcrafted exercises enable a wide range of practice in skills, applications, concepts and technology. This adaptable, studentoriented approach enables independent learning and study, while demonstrating how concepts apply to future careers.
Published by Pearson (January 7th 2022)  Copyright © 2023
ISBN13: 9780137616664
Subject: Finite Math & Applied Calculus
Category: Finite Math
Table of contents
PART ONE
 Linear Equations and Straight Lines
 1.1 Coordinate Systems and Graphs
 1.2 The Slope of a Line
 1.3 The Intersection Point of a Pair of Lines
 1.4 The Method of Least Squares
 Chapter Summary and Chapter Review Exercises
 Chapter Project: BreakEven Analysis
 Matrices
 2.1 Systems of Linear Equations with Unique Solutions
 2.2 General Systems of Linear Equations
 2.3 Arithmetic Operations on Matrices
 2.4 The Inverse of a Matrix
 2.5 The GaussJordan Method for Calculating Inverses
 2.6 InputOutput Analysis
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Population Dynamics
 Linear Programming, A Geometric Approach
 3.1 Linear Inequalities
 3.2 A Linear Programming Problem
 3.3 Fundamental Theorem of Linear Programming
 3.4 Linear Programming
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Shadow Prices
 The Simplex Method
 4.1 Slack Variables and the Simplex Tableau
 4.2 The Simplex Method I: Maximum Problems
 4.3 The Simplex Method II: Nonstandard and Minimum Problems
 4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems
 4.5 Duality
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Shadow Prices Revisited
PART TWO
 Sets and Counting
 5.1 Sets
 5.2 A Fundamental Principle of Counting
 5.3 Venn Diagrams and Counting
 5.4 The Multiplication Principle
 5.5 Permutations and Combinations
 5.6 Further Counting Techniques
 5.7 The Binomial Theorem
 5.8 Multinomial Coefficients and Partitions
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Pascal's Triangle
 Probability
 6.1 Experiments, Outcomes, Sample Spaces, and Events
 6.2 Assignment of Probabilities
 6.3 Calculating Probabilities of Events
 6.4 Conditional Probability and Independence
 6.5 Tree Diagramsv
 6.6 Bayes' Theorem, Natural Frequencies
 6.7 Simulation
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Two Paradoxes
 Probability and Statistics
 7.1 Visual Representations of Data
 7.2 Frequency and Probability Distributions
 7.3 Binomial Trials
 7.4 The Mean
 7.5 The Variance and Standard Deviation
 7.6 The Normal Distribution
 7.7 Normal Approximation to the Binomial Distribution
 Chapter Summary and Chapter Review Exercises
 Chapter Project: An Unexpected Expected Value
PART THREE
 Markov Processes
 8.1 The Transition Matrix
 8.2 Regular Stochastic Matrices
 8.3 Absorbing Stochastic Matrices
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Doubly Stochastic Matrices
 The Theory of Games
 9.1 Games and Strategies
 9.2 Mixed Strategies
 9.3 Determining Optimal Mixed Strategies
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Simulating The Outcomes of MixedStrategy Games
PART FOUR
 The Mathematics of Finance
 10.1 Interest
 10.2 Annuities
 10.3 Amortization of Loans
 10.4 Personal Financial Decisions
 10.5 A Unifying Equation
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Two Items of Interest
 Logic
 11.1 Introduction to Logic
 11.2 Truth Tables
 11.3 Implication
 11.4 Logical Implication and Equivalence
 11.5 Valid Argument
 11.6 Predicate Calculus
 11.7 Logic Circuits
 Chapter Summary and Chapter Review Exercises
 Chapter Project: A Logic Puzzle
 Difference Equations and Mathematical Models (online)
 12.1 Introduction to Difference Equations
 12.2 Difference Equations and Interest
 12.3 Graphing Difference Equations
 12.4 Mathematics of Personal Finance
 12.5 Modeling with Difference Equations
 Chapter Summary and Chapter Review Exercises
 Chapter Project: Connections to Markov Processes
APPENDICES
 Areas Under the Standard Normal Curve
 The TI83/84 Plus Graphing Calculator
 Spreadsheet Fundamentals
 Wolfram Alpha
Learning Objectives
Index of Applications
Index
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