9780495015833

College Mathematics for the Managerial, Life, and Social Sciences (with CengageNOW Printed Access Card)

by
  • ISBN13:

    9780495015833

  • ISBN10:

    0495015830

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 4/3/2007
  • Publisher: Cengage Learning

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Summary

This text helps you succeed in finite mathematics and applied calculus by using clear explanations, real-life examples, and up-to-date technology. Real-life applications-such as satellite radio subscriptions, Google's revenue, job outsourcing, and the effects of smoking bans-are drawn from the areas of business and the behavioral, life, and social sciences. Portfolio profiles give you a firsthand look at how real-world professionals use finite mathematics and applied calculus in their work. You can also take advantage of extensive online support to enhance your learning, including video instruction and interactive tutorials that walk you step by step through examples and problems in the text.

Table of Contents

Straight Lines and Linear Functions
The Cartesian Coordinate System
Straight Lines
Linear Functions and Mathematical Models
Intersection of Straight Lines
The Method of Least Squares
Systems of Linear Equations and Matrices
Systems of Linear Equations: An Introduction
Systems of Linear Equations: Unique Solutions
Systems of Linear Equations: Underdetermined and Overdetermined Systems
Matrices
Multiplication of Matrices
The Inverse of a Square Matrix
Leontief Input-Output Model
Linear Programming: A Geometric Approach
Graphing Systems of Linear Inequalities in Two Variables
Linear Programming Problems
Graphical Solution of Linear Programming Problems
Sensitivity Analysis
Linear Programming: An Algebraic Approach
The Simplex Method: Standard Maximization Problems
The Simplex Method: Standard Minimization Problems
The Simplex Method: Nonstandard Problems
Mathematics of Finance
Compound Interest
Annuities
Amortization and Sinking Funds
Arithmetic and Geometric Progressions
Sets and Counting
Sets and Set Operations
The Number of Elements in a Finite Set
The Multiplication Principle
Permutations and Combinations
Probability
Experiments, Sample Spaces, and Events
Definition of Probability
Rules of Probability
Use of Counting Techniques in Probability
Conditional Probability and Independent Events
Bayes' Theorem
Probability Distributions and Statistics
Distributions of Random Variables
Expected Value
Variance and Standard Deviation
The Binomial Distribution
The Normal Distribution
Applications of the Normal Distribution
Markov Chains and the Theory Of Games
Markov Chains
Regular Markov Chains
Absorbing Markov Chains
Precalculus Review
Exponents and Radicals
Algebraic Expressions
Algebraic Fractions
Inequalities and Absolute Values
Functions, Limits, and the Derivative
Functions and Their Graphs
The Algebra of Functions
Functions and Mathematical Models
Limits
One-Sided Limits and Continuity
Derivative
Differentiation
Basic Rules of Differentiation
The Product and Quotient Rules
The Chain Rule
Marginal Functions in Economics
Higher-Order Derivatives
Implicit Differentiation and Related Rates
Differentials
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization I
Optimization II
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Differentiation of Exponential Functions
Differentiation of Logarithmic Functions
Exponential Functions as Mathematical Models
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Evaluating Definite Integrals
Area Between Two Curves
Applications of the Definite Integral to Business and Economics
Additional Topics in Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Improper Integrals
Applications of Calculus to Probability
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Maxima and Minima of Functions of Several Variables
The Method of Least Squares
Constrained Maxima and Minima and the Method of Lagrange Multipliers
Double Integrals
The System of Real Numbers
Tables
Answers to Odd-Numbered Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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