Finite Mathematics and Calculus with Applications

by: Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.

ISBN 13:
9780321228239
ISBN 10:
0321228235
Edition: 7th
Format: Hardcover
Copyright: 01/01/2005
Publisher: Addison Wesley
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Summary

Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. MyMathLab, a complete online course, will be available with this text. For the first time, a comprehensive series of lectures on video will be available.

Polynomials
Factoring
Rational Expressions
Equations
Inequalities
Exponents
Radicals
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
Duality
Nonstandard Problems
Mathematics of Finance
Simple and Compound Interest
Future Value of an Annuity
Present Value of an Annuity
Amortization
Logic
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
Sets
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
Permutations
Combinations
Probability Applications of Counting Principles
Binomial Probability
Probability Distributions
Expected Value
Statistics
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
Limits
Continuity
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
Integration
Antiderivatives
Substitution
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
Tables
Formulas from Geometry
Area Under a Normal Curve
Integrals
Table of Contents provided by Publisher. All Rights Reserved.

Finite Mathematics and Calculus with Applications

9780321228239

0321228235

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Table of Contents

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