Finite Mathematics and Calculus with Applications, 11th edition
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Overview
Finite Mathematics and Calculus with Applications, 11th Edition prepares students for success in their professional careers with timely applications incorporated throughout. Widely known for using real data in their examples and exercises, the authors make mathematics relevant and accessible throughout the exposition, examples, exercise sets, and supplementary resources. Students have ample opportunity to relate what they’re learning to career situations through the Apply It question at the beginning of sections, the applied examples and exercises, and the Extended Application at the end of each chapter.
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Published by Pearson (September 7th 2021)  Copyright © 2022
ISBN13: 9780137419333
Subject: Finite Math & Applied Calculus
Category: Finite Math & Applied Calculus (Combined)
Table of contents
Table of Contents
 Preface
 Prerequisite Skills Diagnostic Test
 Algebra Reference
 R.1 Polynomials
 R.2 Factoring
 R.3 Rational Expressions
 R.4 Equations
 R.5 Inequalities
 R.6 Exponents
 R.7 Radicals
 Linear Functions
 1.1 Slopes and Equations of Lines
 1.2 Linear Functions and Applications
 1.3 The Least Squares Line
 Chapter 1 Review
 Extended Application: Predicting Life Expectancy
 Systems of Linear Equations and Matrices
 2.1 Solution of Linear Systems by the Echelon Method
 2.2 Solution of Linear Systems by the GaussJordan Method
 2.3 Addition and Subtraction of Matrices
 2.4 Multiplication of Matrices
 2.5 Matrix Inverses
 2.6 InputOutput Models
 Chapter 2 Review
 Extended Application: Contagion
 Linear Programming: The Graphical Method
 3.1 Graphing Linear Inequalities
 3.2 Solving Linear Programming Problems Graphically
 3.3 Applications of Linear Programming
 Chapter 3 Review
 Extended Application: Sensitivity Analysis
 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 4 Review
 Extended Application: Using Integer Programming in the StockCutting
 Problem
 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 5 Review
 Extended Application: Time, Money, and Polynomials
 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 6 Review
 Extended Application: Logic Puzzles
 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 7 Review
 Extended Application: Medical Diagnosis
 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 8 Review
 Extended Application: Optimal Inventory for a Service Truck
 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 9 Review
 Extended Application Statistics in the Lawthe Castaneda Decision
 Nonlinear Functions
 10.1 Properties of Functions
 10.2 Quadratic Functions; Translation and Reflection
 10.3 Polynomial and Rational Functions
 10.4 Exponential Functions
 10.5 Logarithmic Functions
 10.6 Applications: Growth and Decay; Mathematics of Finance
 Chapter 10 Review
 Extended Application: Power Functions
 The Derivative
 11.1 Limits
 11.2 Continuity
 11.3 Rates of Change
 11.4 Definition of the Derivative
 11.5 Graphical Differentiation
 Chapter 11 Review
 Extended Application: A Model for Drugs Administered Intravenously
 Calculating the Derivative
 12.1 Techniques for Finding Derivatives
 12.2 Derivatives of Products and Quotients
 12.3 The Chain Rule
 12.4 Derivatives of Exponential Functions
 12.5 Derivatives of Logarithmic Functions
 Chapter 12 Review
 Extended Application: Electric Potential and Electric Field
 Graphs and the Derivative
 13.1 Increasing and Decreasing Functions
 13.2 Relative Extrema
 13.3 Higher Derivatives, Concavity, and the Second Derivative Test
 13.4 Curve Sketching
 Chapter 13 Review
 Extended Application: A Drug Concentration Model for Orally Administered Medications
 Applications of the Derivative
 14.1 Absolute Extrema
 14.2 Applications of Extrema
 14.3 Further Business Applications
 14.4 Implicit Differentiation
 14.5 Related Rates
 14.6 Differentials: Linear Approximation
 Chapter 14 Review
 Extended Application: A Total Model for a Training Program
 Integration
 15.1 Antiderivatives
 15.2 Substitution
 15.3 Area and the Definite Integral
 15.4 The Fundamental Theorem of Calculus
 15.5 The Area Between Two Curves
 15.6 Numerical Integration
 Chapter 15 Review
 Extended Application Estimating Depletion Dates for Minerals
 Further Techniques and Applications of Integration
 16.1 Integration by Parts
 16.2 Volume and Average Value
 16.3 Continuous Money Flow
 16.4 Improper Integrals
 16.5 Solutions of Elementary and Separable Differential Equations
 Chapter 16 Review
 Extended Application: Estimating Learning Curves in Manufacturing With Integrals
 Multivariable Calculus
 17.1 Functions of Several Variables
 17.2 Partial Derivatives
 17.3 Maxima and Minima
 17.4 Lagrange Multipliers
 17.5 Total Differentials and Approximations
 17.6 Double Integrals
 Chapter 17 Review
 Extended Application: Using Multivariable Fitting to Create a Response Surface Design
 Probability and Calculus
 18.1 Continuous Probability Models
 18.2 Expected Value and Variance of Continuous Random Variables
 18.3 Special Probability Density Functions
 Chapter 18 Review
 Extended Application Exponential Waiting Times
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