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College Mathematics for the Managerial, Life, and Social Sciences,9780534378424
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College Mathematics for the Managerial, Life, and Social Sciences

by
Edition:
5th
ISBN13:

9780534378424

ISBN10:
0534378420
Format:
Paperback
Pub. Date:
7/16/2001
Publisher(s):
Brooks Cole

Questions About This Book?

What version or edition is this?
This is the 5th edition with a publication date of 7/16/2001.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

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Summary

In this revision of his best-selling text, Soo Tan builds on the features that have made his texts best-sellers: a problem-solving approach, accurate mathematical development, a concise yet accessible writing style, and a wealth of interesting and appropriate applications. These features are combined with practical pedagogical tools to help students understand and comprehend the material. Tan also now includes innovative use of technology that is optional, yet well integrated throughout the book.

Table of Contents

Straight Lines and Linear Functions
2(76)
The Cartesian Coordinate System
4(9)
Straight Lines
13(20)
Using Technology: Graphing a Straight Line
30(3)
Linear Functions and Mathematical Models
33(14)
Portfolio: Carol Busa
37(7)
Using Technology: Evaluating a Function
44(3)
Intersection of Straight Lines
47(14)
Using Technology: Finding the Points of Intersection of Two Graphs
58(3)
The Method of Least Squares (Optional)
61(15)
Using Technology: Finding an Equation of a Least-Squares Line
68(5)
Summary of Principal Formulas and Terms
73(1)
Review Exercises
74(2)
Systems of Linear Equations and Matrices
76(104)
Systems of Linear Equations-Introduction
78(9)
Solving Systems of Linear Equations I
87(19)
Using Technology: Solving Systems of Linear Equations I
102(4)
Solving Systems of Linear Equations II
106(13)
Using Technology: Solving Systems of Linear Equations II
116(3)
Matrices
119(13)
Using Technology: Matrix Addition and Subtraction, Scalar Multiplication, and the Transpose of a Matrix
130(2)
Multiplication of Matrices
132(16)
Using Technology: Matrix Multiplication
144(4)
The Inverse of a Square Matrix
148(17)
Using Technology: Finding the Inverse of a Square Matrix
160(5)
Leontief Input-Output Model (Optional)
165(15)
Using Technology: The Leontief Input-Output Model
172(5)
Summary of Principal Formulas and Terms
177(1)
Review Exercises
178(2)
Linear Programming: A Geometric Approach
180(38)
Graphing Systems of Linear Inequalities in Two Variables
182(9)
Linear Programming Problems
191(10)
Portfolio: Leanne Jenkins
198(3)
Graphical Solution of Linear Programming Problems
201(17)
Summary of Principal Terms
216(1)
Review Exercises
216(2)
Linear Programming: An Algebraic Approach
218(48)
The Simplex Method: Standard Maximization Problems
220(26)
Portfolio: Harley Lance Kaplan
241(1)
Using Technology: The Simplex Method: Solving Maximization Problems
242(4)
The Simplex Method: Standard Minimization Problems
246(20)
Using Technology: The Simplex Method: Solving Minimization Problems
260(4)
Summary of Principal Terms
264(1)
Review Exercises
264(2)
Mathematics of Finance
266(52)
Compound Interest
268(14)
Using Technology: Finding the Accumulated Amount of an Investment and Finding the Effective Rate of Interest
280(2)
Annuities
282(12)
Using Technology: Finding the Amount of an Annuity
292(2)
Amortization and Sinking Funds
294(12)
Portfolio: John Decker
300(4)
Using Technology: Amortizing a Loan
304(2)
Arthmetic and Geometric Progressions (Optional)
306(12)
Summary of Principal Formulas and Terms
315(1)
Review Exercises
316(2)
Sets and Counting
318(48)
Sets and Set Operations
320(12)
The Number of Elements in a Finite Set
332(7)
The Multiplication Principle
339(6)
Portfolio: John L. Higgins
342(3)
Permutations and Combinations
345(21)
Using Technology: Evaluating n!, P(n, r), and C(n, r)
360(2)
Summary of Principal Formulas and Terms
362(1)
Review Exercises
363(3)
Probability
366(96)
Experiments, Sample Spaces, and Events
368(10)
Definition of Probability
378(11)
Rules of Probability
389(10)
Use of Counting Techniques in Probability
399(9)
Conditional Probability and Independent Events
408(16)
Bayes' Theorem
424(11)
Markov Chains (Optional)
435(27)
Using Technology: Finding Distribution Vectors
454(4)
Summary of Principal Formulas and Terms
458(1)
Review Exercises
459(3)
Probability Distributions and Statistics
462(76)
Distributions of Random Variables
464(12)
Using Technology: Graphing a Histogram
472(4)
Expected Value
476(15)
Portfolio: Lilli Meiselman
489(2)
Variance and Standard Deviation
491(13)
Using Technology: Finding the Mean and Standard Deviation
502(2)
The Binomial Distribution
504(12)
The Normal Distribution
516(10)
Applications of the Normal Distribution
526(12)
Summary of Principal Formulas and Terms
535(1)
Review Exercises
536(2)
Precalculus Review
538(32)
Exponents and Radicals
540(4)
Algebraic Expressions
544(9)
Algebraic Fractions
553(8)
Inequalities and Absolute Value
561(9)
Summary of Principal Formulas and Terms
567(1)
Review Exercises
568(2)
Functions, Limits, and the Derivative
570(122)
Functions and Their Graphs
572(21)
Using Technology: Graphing a Function
588(5)
The Algebra of Functions
593(9)
Portfolio: Michael Marchlik
598(4)
Functions and Mathematical Models
602(18)
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling
614(6)
Limits
620(25)
Using Technology: Finding the Limit of a Function
640(5)
One-Sided Limits and Continuity
645(20)
Using Technology: Finding the Points of Discontinuity of a Function
660(5)
The Derivative
665(27)
Using Technology: Graphing a Function and Its Tangent Lines
686(3)
Summary of Principal Formulas and Terms
689(1)
Review Exercises
689(3)
Differentiation
692(94)
Basic Rules of Differentiation
694(14)
Using Technology: Finding the Rate of Change of a Function
702(6)
The Product and Quotient Rules
708(13)
Using Technology: The Product and Quotient Rules
718(3)
The Chain Rule
721(13)
Using Technology: Finding the Derivative of a Composite Function
728(6)
Marginal Functions in Economics
734(16)
Higher-Order Derivatives
750(9)
Using Technology: Finding the Second Derivative of a Function at a Given Point
756(3)
Implicit Differentiation and Related Rates
759(12)
Differentials
771(15)
Using Technology: Finding the Differential of a Function
780(3)
Summary of Principal Formulas and Terms
783(1)
Review Exercises
784(2)
Applications of the Derivative
786(96)
Applications of the First Derivative
788(23)
Using Technology: Using the First Derivative to Analyze a Function
806(5)
Applications of the Second Derivative
811(20)
Using Technology: Finding the Inflection Points of a Function
828(3)
Curve Sketching
831(20)
Using Technology: Analyzing the Properties of a Function
844(7)
Optimization I
851(16)
Using Technology: Finding the Absolute Extrema of a Function
864(3)
Optimization II
867(15)
Summary of Principal Terms
879(1)
Review Exercises
879(3)
Exponential and Logarithmic Functions
882(58)
Exponential Functions
884(14)
Portfolio: Misato Nakazaki
895(1)
Using Technology
896(2)
Logarithmic Functions
898(8)
Differentiation of Exponential Functions
906(13)
Using Technology
916(3)
Differentiation of Logarithmic Functions
919(8)
Exponential Functions as Mathematical Models
927(13)
Summary of Principal Formulas and Terms
938(1)
Review Exercises
939(1)
Integration
940(102)
Antiderivatives and the Rules of Integration
942(15)
Integration by Substitution
957(11)
Area and the Definite Integral
968(11)
The Fundamental Theorem of Calculus
979(14)
Using Technology: Evaluating Definite Integrals
990(3)
Evaluating Definite Integrals
993(12)
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions
1002(3)
Area Between Two Curves
1005(16)
Using Technology: Finding the Area Between Two Curves
1018(3)
Applications of the Definite Integral to Business and Economics
1021(21)
Using Technology: Consumers' Surplus and Producers' Surplus
1035(2)
Summary of Principal Formulas and Terms
1037(1)
Review Exercises
1038(4)
Additional Topics in Integration
1042(52)
Integration by Parts
1044(7)
Numerical Integration
1051(17)
Portfolio: James H. Chesebro
1066(2)
Improper Integrals
1068(11)
Applications of Probability to Calculus
1079(15)
Summary of Principal Formulas and Terms
1090(2)
Review Exercises
1092(2)
Calculus of Several Variables
1094(75)
Functions of Several Variables
1096(10)
Partial Derivatives
1106(18)
Using Technology: Finding Partial Derivatives at a Given Point
1120(4)
Maxima and Minima of Functions of Several Variables
1124(11)
Constrained Maxima and Minima and the Method of Lagrange Multipliers
1135(13)
Double Integrals
1148(21)
Summary of Principal Terms
1165(1)
Review Exercises
1165(4)
Appendix A The System of Real Numbers 1169(4)
Appendix B Tables 1173(6)
Table 1: Binomial Probabilities
1174(3)
Table 2: The Standard Normal Distribution
1177(2)
Answers to Odd-Numbered Exercises 1179(56)
Index 1235


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