Finite Mathematics and Calculus with Applications
by Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
11th Edition
Publisher: Pearson
Book Details
| Print ISBN | 9780135904602 |
| eText ISBN | 9780135904428 |
| Publisher | Pearson |
| Publishing Year | 2022 |
| Edition | 11th Edition |
| Language | English |
Finite Mathematics and Calculus with Applications, 11th Edition, is an applied mathematics textbook published by Pearson. The text connects quantitative principles directly to career situations by incorporating real data throughout its exposition, examples, and exercise sets.
Core subject areas include finite mathematics, statistics, and introductory calculus. The volume examines systems of linear equations, linear programming, mathematics of finance, probability, derivatives, and integral methods.
Learning support includes section-opening Apply It questions, a Prerequisite Skills Diagnostic Test, and chapter-ending extended applications that connect mathematical methods to practical scenarios.
Table of Contents
Chapter 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
Chapter 1: 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
Chapter 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 2 Review
- • Extended Application: Contagion
Chapter 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 3 Review
- • Extended Application: Sensitivity Analysis
Chapter 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 4 Review
- • Extended Application: Using Integer Programming in the Stock-Cutting
- • Problem
Chapter 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 5 Review
- • Extended Application: Time, Money, and Polynomials
Chapter 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 6 Review
- • Extended Application: Logic Puzzles
Chapter 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 7 Review
- • Extended Application: Medical Diagnosis
Chapter 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 8 Review
- • Extended Application: Optimal Inventory for a Service Truck
Chapter 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 9 Review
- • Extended Application Statistics in the Law: the Castaneda Decision
Chapter 10: 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
Chapter 11: 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
Chapter 12: 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
Chapter 13: 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
Chapter 14: 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
Chapter 15: 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
Chapter 16: 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
Chapter 17: 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
Chapter 18: 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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