Finite Mathematics and Calculus With Applications

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  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2001-07-01
  • Publisher: Addison-Wesley
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Finite Mathematics and Calculus With Applications was written for the two-semester finite math and applied calculus course for students majoring in a variety of fieldsbusiness, economics, social science, and biological and physical science. Widely known for incorporating interesting, relevant, and realistic applications, this new edition now offers many more real applications citing current data sources. The new edition now offers more opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. A dedicated Web site rounds out the teaching and learning package, offering extended applications from the book, skill mastery quizzes, and graphing calculator programs tied to the text.

Table of Contents

Rational Expressions
Linear Functions
Slopes and Equations of Lines
Linear Functions and Applications
The Least Squares Line
Systems of Linear Equations and Matrices
Solution of Linear Systems by the Echelon Method
Solution of Linear Systems by the Gauss-Jordan Method
Addition and Subtraction of Matrices
Multiplication of Matrices
Matrix Inverses
Input-Output Models
Linear Programming: The Graphical Method
Graphing Linear Inequalities
Solving Linear Programming Problems Graphically
Applications of Linear Programming
Linear Programming: The Simplex Method
Slack Variables and the Pivot
Maximization Problems
Minimization Problems
Nonstandard Problems
Mathematics of Finance
Simple and Compound Interest
Future Value of an Annuity
Present Value of an Annuity
Statements and Quantifiers
Truth Tables and Equivalent Statements
The Conditional and Circuits
More on the Conditional
Analyzing Arguments with Euler Diagrams
Analyzing Arguments with Truth Tables
Sets and Probability
Applications of Venn Diagrams
Introduction to Probability
Basic Concepts of Probability
Conditional Probability
Independent Events
Bayes' Theorem
Counting Principles
Further Probability Topics
The Multiplication Principle
Probability Applications of Counting Principles
Binomial Probability
Probability Distributions
Expected Value
Frequency Distributions
Measures of Central Tendency
Measures of Variation
The Normal Distribution
Normal Approximation to the Binomial Distribution
Nonlinear Functions
Properties of Functions
Quadratic Functions
Translation and Reflection
Polynomial and Rational Functions
Exponential Functions
Logarithmic Functions
Applications: Growth and Decay
Mathematics of Finance
The Derivative
Rates of Change
Definition of the Derivative
Graphical Differentiation
Calculating the Derivative
Techniques for Finding Derivatives
Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential Functions
Derivatives of Logarithmic Functions
Graphs and the Derivative
Increasing and Decreasing Functions
Relative Extrema
Higher Derivatives, Concavity, and the Second Derivative Test
Curve Sketching
Applications of the Derivative
Absolute Extrema
Applications of Extrema
Further Business Applications: Economic Lot Size, Economic Order Quantity
Elasticity of Demand
Implicit Differentiation
Related Rates
Differentials: Linear Approximation
Area and the Definite Integral
The Fundamental Theorem of Calculus
The Area Between Two Curves
Numerical Integration
Further Techniques and Applications of Integration
Integration by Parts
Volume and Average Value
Continuous Money Flow
Improper Integrals
Solutions of Elementary and Separable Differential Equations
Multivariable Calculus
Functions of Several Variables
Partial Derivatives
Maxima and Minima
Lagrange Multipliers
Total Differentials and Approximations
Double Integrals
Probability and Calculus
Continuous Probability Models
Expected Value and Variance of Continuous Random Variables
Special Probability Density Functions
Formulas from Geometry
Area Under a Normal Curve
Table of Contents provided by Publisher. All Rights Reserved.

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