Applied Mathematics for the Managerial, Life, and Social Sciences (with CD-ROM and iLrn™ Student Tutorial, Personal Tutor Printed Access Card)

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  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2006-01-03
  • Publisher: Brooks Cole
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In the market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accurate, accessible presentation of finite mathematics and applied calculus combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Fourth Edition includes highly interesting current applications and Microsoft® Excel® exercises to help stimulate student motivation. An exciting new array of supplements, including iLrn Mathematics and the Interactive Video Skillbuilder CD-ROM, provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Table of Contents

Fundamentals of Algebra
Real Numbers
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
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
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
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
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
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
Table of Contents provided by Publisher. All Rights Reserved.

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