9780495559672

Applied Mathematics for the Managerial, Life, and Social Sciences

by
  • ISBN13:

    9780495559672

  • ISBN10:

    0495559679

  • Edition: 5th
  • Format: Hardcover
  • Copyright: 12/2/2008
  • Publisher: Brooks Cole
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Summary

Market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, 5th EDITION, is a traditional text with a slightly modern feel. This new edition incorporates technology in such a way that both traditional and modern practitioners find the support they need to teach effectively. Continuing its tradition of mathematical accuracy, the new fifth edition teaches by application and uses real and realistic examples to motivate students. It combines solid theory with innovative learning tools, includes a robust supplement package, and offers unmatched flexibility that makes the course easy to teach. Accessible for majors and non-majors alike, the book uses an intuitive approach that introduces abstract concepts through examples drawn from common, real-life experiences to which students can relate. It also draws applications from readers' fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their professional lives. Numerous exercises ensure students have a solid understanding of text concepts before advancing to the next topic. Bringing powerful resources to students' fingertips, the text's exciting array of supplements?including Enhanced WebAssign, Solution Videos, and Personal Tutor?equips students with extensive learning support to help them maximize their study time.

Table of Contents

Fundamentals of Algebra
Real Numbers
Polynomials
Factoring Polynomials
Rational Expressions
Integral Exponents
Solving Equations
Rational Exponents and Radicals
Quadratic Equations
Inequalities and Absolute Value
Functions and Their Graphs
The Cartesian Coordinate System and Straight Lines
Equations of Lines
Functions and Their Graphs
The Algebra of Functions
Linear Functions
Quadratic Functions
Functions and Mathematical Models
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Exponential Functions as Mathematical Models
Mathematics of Finance
Compound Interest
Annuities
Amortization and Sinking Funds
Arithmetic and Geometric Progressions )Optional)
Systems of Linear Equations and Matrices
Systems of Linear Equations: An Introduction
Systems of Linear Equations: Unique Solutions
Systems of Linear Equations: Undetermined and Overdetermined Systems
Matrices
Multiplication of Matrices
The Inverse of a Square Matrix
Linear Programming
Graphing Systems of Linear Inequalities in Two Variables
Linear Programming Problems
Graphical Solution of Linear Programming Problems
The Simplex Method: Standard Maximization Problems
The Simplex Method: Standard Minimization Problems
Sets and Probability
Sets and Set Operations
The Number of Elements in a Finite Set
The Multiplication Principle
Permutations and Combinations
Experiments, Sample Spaces, and Events
Probability
Rules of Probability
Additional Topics in Probability
Use of Counting Techniques in Probability
Conditional Probability and Independent Events
Bayes' Theorem
Distributions of Random Variables
Expected Value
Variance and Standard Deviation
The Derivative
Limits
Continuity
The Derivative
Basic Rules of Differentiation
The Product and Quotient Rules: Higher-Order Derivatives
The Chain Rule
Differentiation of Exponential and Logarithmic Functions
Marginal Functions in Economics
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization
Optimization II
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
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Maxima and Minima of Functions of Several Variables
Linear Inequalities in Two Variables
Linear Programming Problems
Graphical Solution of Linear Programming Problems
The Simplex Method: Standard Maximization Problems
The Simplex Method: Standard Minimization Problems
Sets and Probability
Sets and Set Operations
The Number of Elements in a Finite Set
The Multiplication Principle
Permutations and Combinations
Experiments, Sample Spaces, and Events
Probability
Rules of Probability
Additional topics in Probability
Use of Counting Techniques in Probability
Conditional Probability and Independent Events
Bayes' Theorem
Distributions of Random Variables
Expected Value
Variance and Standard Deviation
The Derivative
Limits
Continuity
The Derivative
Basic Rules of Differentiation
The Product and Quotient Rules: Higher-Order Derivatives
The Chain Rule
Differentiation of Exponential and Logarithmic Functions
Marginal Functions in Economics
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization I
Optimization II
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
Calculus of Several Variables
Functions of Several Vari
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