Finite Mathematics and Calculus with Applications, 10th edition
Published by Pearson (January 7th 2016)  Copyright © 2016
10th edition

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Overview
Finite Mathematics and Calculus with Applications, Tenth Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as WarmUp Exercises and added “help text” within examples.
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Table of contents
R. Algebra Reference
R1 Polynomials
R2 Factoring
R3 Rational Expressions
R4 Equations
R5 Inequalities
R6 Exponents
R7 Radicals
1. Linear Functions
11 Slopes and Equations of Lines
12 Linear Functions and Applications
13 The Least Squares Line
Chapter Review
Extended Application: Using Extrapolation to Predict Life Expectancy
2. Systems of Linear Equations and Matrices
21 Solution of Linear Systems by the Echelon Method
22 Solution of Linear Systems by the GaussJordan Method
23 Addition and Subtraction of Matrices
24 Multiplication of Matrices
25 Matrix Inverses
26 InputOutput Models
Chapter Review
Extended Application: Contagion
3. Linear Programming: The Graphical Method
31 Graphing Linear Inequalities
32 Solving Linear Programming Problems Graphically
33 Applications of Linear Programming
Chapter Review
4. Linear Programming: The Simplex Method
41 Slack Variables and the Pivot
42 Maximization Problems
43 Minimization Problems; Duality
44 Nonstandard Problems
Chapter Review
Extended Application: Using Integer Programming in the StockCutting Problem
5. Mathematics of Finance
51 Simple and Compound Interest
52 Future Value of an Annuity
53 Present Value of an Annuity; Amortization
Chapter Review
Extended Application: Time, Money, and Polynomials
6. Logic
61 Statements
62 Truth Tables and Equivalent Statements
63 The Conditional and Circuits
64 More on the Conditional
65 Analyzing Arguments and Proofs
66 Analyzing Arguments with Quantifiers
Chapter Review
Extended Application: Logic Puzzles
7. Sets and Probability
71 Sets
72 Applications of Venn Diagrams
73 Introduction to Probability
74 Basic Concepts of Probability
75 Conditional Probability; Independent Events
76 Bayes' Theorem
Chapter Review
Extended Application: Medical Diagnosis
8. Counting Principles: Further Probability Topics
81 The Multiplication Principle; Permutations
82 Combinations
83 Probability Applications of Counting Principles
84 Binomial Probability
85 Probability Distributions; Expected Value
Chapter Review
Extended Application: Optimal Inventory for a Service Truck
9. Statistics
91 Frequency Distributions; Measures of Central Tendency
92 Measures of Variation
93 The Normal Distribution
94 Normal Approximation to the Binomial Distribution
Chapter Review
Extended Application: Statistics in the Law  The Castaneda Decision
10. Nonlinear Functions
101 Properties of Functions
102 Quadratic Functions; Translation and Reflection
103 Polynomial and Rational Functions
104 Exponential Functions
105 Logarithmic Functions
106 Applications: Growth and Decay; Mathematics of Finance
Chapter Review
Extended Application: Characteristics of the Monkeyface Prickleback
11. The Derivative
111 Limits
112 Continuity
113 Rates of Change
114 Definition of the Derivative
115 Graphical Differentiation
Chapter Review
Extended Application: A Model for Drugs Administered Intravenously
12. Calculating the Derivative
121 Techniques for Finding Derivatives
122 Derivatives of Products and Quotients
123 The Chain Rule
124 Derivatives of Exponential Functions
125 Derivatives of Logarithmic Functions
Chapter Review
Extended Application: Electric Potential and Electric Field
13. Graphs and the Derivative
131 Increasing and Decreasing Functions
132 Relative Extrema
133 Higher Derivatives, Concavity, and the Second Derivative Test
134 Curve Sketching
Chapter Review
Extended Application: A Drug Concentration Model for Orally Administered
Medications (new)
14. Applications of the Derivative
141 Absolute Extrema
142 Applications of Extrema
143 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
144 Implicit Differentiation
145 Related Rates
146 Differentials: Linear Approximation
Chapter Review
Extended Application: A Total Cost Model for a Training Program
15. Integration
151 Antiderivatives
152 Substitution
153 Area and the Definite Integral
154 The Fundamental Theorem of Calculus
155 The Area Between Two Curves
156 Numerical Integration
Chapter Review
Extended Application: Estimating Depletion Dates for Minerals
16. Further Techniques and Applications of Integration
161 Integration by Parts
162 Volume and Average Value
163 Continuous Money Flow
164 Improper Integrals
165 Solutions of Elementary and Separable Differential Equations*
Chapter Review
Extended Application: Estimating Learning Curves in Manufacturing with Integrals
17. Multivariable Calculus
171 Functions of Several Variables
172 Partial Derivatives
173 Maxima and Minima
174 Lagrange Multipliers
175 Total Differentials and Approximations
176 Double Integrals
Chapter Review
Extended Application: Using Multivariable Fitting to Create a Response Surface Design
18. Probability and Calculus
181 Continuous Probability Models
182 Expected Value and Variance of Continuous Random Variables
183 Special Probability Density Functions
Chapter Review
Extended Application: Exponential Waiting Times
Tables
Table 1 Formulas of/from Geometry
Table 2 Area Under a Normal Curve
Table 3 Integrals
Answers to Selected Exercises
Photo Acknowledgements
IndexFor teachers
All the material you need to teach your courses.
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