Finite Mathematics and Calculus with Applications, 10th edition
Published by Pearson (March 2, 2016) © 2016
- Margaret L. Lial American River College
- Raymond N. Greenwell Hofstra University
- Nathan P. Ritchey Edinboro University of PA , Youngstown State University
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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
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1. Linear Functions
1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line
           Chapter Review
           Extended Application: Using Extrapolation to Predict Life Expectancy
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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 Review
           Extended Application: Contagion
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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 Review
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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 Review
           Extended Application: Using Integer Programming in the Stock-Cutting Problem
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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 Review
           Extended Application: Time, Money, and Polynomials
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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 Review
           Extended Application: Logic Puzzles
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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 Review
           Extended Application: Medical Diagnosis
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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 Review
           Extended Application: Optimal Inventory for a Service Truck
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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 Review
           Extended Application: Statistics in the Law - The Castaneda Decision
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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 Review
           Extended Application: Characteristics of the Monkeyface Prickleback
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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 Review
           Extended Application: A Model for Drugs Administered Intravenously
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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 Review
           Extended Application: Electric Potential and Electric Field
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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 Review
           Extended Application: A Drug Concentration Model for Orally Administered
Medications (new)
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14. Applications of the Derivative
14-1 Absolute Extrema
14-2 Applications of Extrema
14-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
14-4 Implicit Differentiation
14-5 Related Rates
14-6 Differentials: Linear Approximation
           Chapter Review
           Extended Application: A Total Cost Model for a Training Program
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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 Review
           Extended Application: Estimating Depletion Dates for Minerals
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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 Review
           Extended Application: Estimating Learning Curves in Manufacturing with Integrals
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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 Review
           Extended Application: Using Multivariable Fitting to Create a Response Surface Design
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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 Review
           Extended Application: Exponential Waiting Times
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Tables
Table 1 Formulas of/from Geometry
Table 2 Area Under a Normal Curve
Table 3 Integrals
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Answers to Selected Exercises
Photo Acknowledgements
IndexNeed help? Get in touch