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

by Tan, Soo T.

• ISBN13: 9780495015819
• ISBN10: 0495015814
• Edition: 4th
• Format: Hardcover
• Copyright: 2006-01-03
• Publisher: Brooks Cole

Summary

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

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 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 Variables

Partial Derivatives

Maxima and Minima of Functions of Several Variables

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