9780131572256

College Mathematics for Business, Economics, Life Sciences and Social Sciences

by ; ;
  • ISBN13:

    9780131572256

  • ISBN10:

    0131572253

  • Edition: 11th
  • Format: Hardcover
  • Copyright: 1/1/2008
  • Publisher: Prentice Hall
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Summary

Designed to be accessible, this book develops a thorough, functional understanding of mathematical concepts in preparation for its application in other areas. Concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving. Features a collection of important topics from mathematics of finance, algebra, linear programming, probability, and descriptive statistics, with an emphasis on cross-discipline principles and practices. For the professional who wants to acquire essential mathematical tools for application in business, economics, and the life and social sciences.

Table of Contents

A Library of Elementary Functions
Linear Equations and Graphs
Linear Equations and Inequalities
Graphs and Lines
Linear Regression
Review Review Exercise
Functions and Graphs
Functions
Elementary Functions: Graphs and Transformations
Quadratic Functions
Exponential Functions
Logarithmic Functions
Review Review Exercise
Finite Mathematics
Mathematics of Finance
Simple Interest
Compound and Continuous Compound Interest
Future Value of an Annuity; Sinking Funds
Present Value of an Annuity; Amortization
Review Review Exercise
Systems of Linear Equations; Matrices
Review: Systems of Linear Equations in Two Variables
Systems of Linear Equations and Augmented Matrices
Gauss Jordan Elimination
Matrices: Basic Operations
Inverse of a Square Matrix
Matrix Equations and Systems of Linear Equations
Leontief Input Output Analysis
Review Review Exercise
Linear Inequalities and Linear Programming
Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Linear Programming in Two Dimensions: A Geometric Approach
Review Review Exercise
Linear Programming: Simplex Method
A Geometric Introduction to the Simplex Method
The Simplex Method: Maximization with Problem Constraints of the Form =
The Dual Problem; Minimization with Problem Constraints of the Form =
Maximization and Minimization with Mixed Problem Constraints
Review Review Exercise
Logic, Sets, and Counting
Logic
Sets
Basic Counting Principles
Permutations and Combinations
Review Review Exercise
Probability
Sample Spaces, Events, and Probability
Union, Intersection, and Complement of Events; Odds
Conditional Probability, Intersection, and Independence
Bayes Formula
Random Variable, Probability Distribution, and Expected Value
Review Review Exercise
Markov Chains
Properties of Markov Chains
Regular Markov Chains
Absorbing Markov Chains
Review Review Exercise
Calculus
Limits and the Derivative
Introduction to Limits
Continuity
Infinite Limits and Limits at Infinity
The Derivative
Basic Differentiation Properties
Differentials
Marginal Analysis in Business and Economics
Review Review Exercise
Additional Derivative Topics
The Constant e and Continuous Compound Interest
Derivatives of Exponential and Logarithmic Functions
Derivati
Table of Contents provided by Publisher. All Rights Reserved.

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