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
ISBN-13: 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 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 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 Stock-Cutting
- 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 Law--the 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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