Finite Mathematics and Calculus with Applications, 11th edition

Margaret L. Lial
, Raymond N. Greenwell
, Nathan P. Ritchey

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Finite Mathematics and Calculus with Applications, 11th Edition prepares you for career success with timely applications throughout. Known for using real data in their examples and exercises, the authors make mathematics meaningful and relevant in the narrative, examples, exercise sets and supplementary resources. You'll have ample opportunity to relate what you'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. 

ISBN-13: 9780137419333

Subject: Finite Math & Applied Calculus

Category: Finite Math & Applied Calculus (Combined)

Preface

Prerequisite Skills Diagnostic Test

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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