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Applied Mathematics for the Managerial, Life, and Social Sciences,9780534365936
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Applied Mathematics for the Managerial, Life, and Social Sciences

by
Edition:
2nd
ISBN13:

9780534365936

ISBN10:
0534365930
Format:
Paperback
Pub. Date:
12/20/2000
Publisher(s):
Brooks Cole
List Price: $106.33
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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
2(74)
Real Numbers
4(6)
Polynomials
10(8)
Factoring Polynomials
18(6)
Rational Expressions
24(6)
Integer Exponents
30(5)
Solving Equations
35(7)
Rational Exponents and Radicals
42(9)
Quadratic Equations
51(11)
Inequalities and Absolute Value
62(12)
Summary and Review Exercises
72(2)
Functions and Their Graphs
74(72)
The Cartesian Coordinate System and Straight Lines
76(7)
Equations of Lines
83(14)
Using Technology
94(3)
Mathematical Models and Functions
97(21)
Using Technology
113(5)
Linear Functions
118(14)
Portfolio: Carol Busa
121(9)
Using Technology
130(2)
Quadratic Functions
132(14)
Summary and Review Exercises
142(4)
Exponential and Logarithmic Functions
146(32)
Exponential Functions
148(9)
Using Technology
154(3)
Logarithmic Functions
157(9)
Exponential Functions as Mathematical Models
166(12)
Summary and Review Exercises
176(2)
Mathematics of Finance
178(56)
Compound Interest
180(16)
Using Technology
194(2)
Annuities
196(12)
Using Technology
206(2)
Amortization and Sinking Funds
208(12)
Portfolio: John Decker
212(6)
Using Technology
218(2)
Arithmetic and Geometric Progressions (Optional)
220(14)
Summary and Review Exercises
230(4)
Systems of Linear Equations and Matrices
234(92)
Systems of Linear Equations---Introduction
236(9)
Solving Systems of Linear Equations I
245(19)
Using Technology
260(4)
Solving Systems of Linear Equations II
264(13)
Using Technology
274(3)
Matrices
277(13)
Using Technology
288(2)
Multiplication of Matrices
290(16)
Using Technology
302(4)
The Inverse of a Square Matrix
306(20)
Using Technology
318(5)
Summary and Review Exercises
323(3)
Linear Programming
326(84)
Graphing Systems of Linear Inequalities in Two Variables
328(9)
Linear Programming Problems
337(10)
Portfolio: Leanne Jenkins
344(3)
Graphical Solution of Linear Programming Problems
347(15)
The Simplex Method: Standard Maximization Problems
362(27)
Using Technology
384(2)
Portfolio: Harley Lance Kaplan
386(3)
The Simplex Method: Standard Minimization Problems
389(21)
Using Technology
402(4)
Summary and Review Exercises
406(4)
Sets and Probability
410(80)
Sets and Set Operations
412(12)
The Number of Elements in a Finite Set
424(7)
The Multiplication Principle
431(6)
Portfolio: John L. Higgins
434(3)
Permutations and Combinations
437(18)
Using Technology
452(3)
Experiments, Sample Spaces, and Events
455(10)
Probability
465(11)
Rules of Probability
476(14)
Summary and Review Exercises
486(4)
Additional Topics in Probability
490(82)
Use of Counting Techniques in Probability
492(9)
Conditional Probability and Independent Events
501(16)
Bayes' Theorem
517(11)
Distributions of Random Variables
528(13)
Using Technology
538(3)
Expected Value
541(15)
Portfolio: Lilli Meiselman
554(2)
Variance and Standard Deviation
556(16)
Using Technology
566(3)
Summary and Review Exercises
569(3)
The Derivative
572(146)
Limits
574(26)
Using Technology
596(3)
Portfolio: James H. Chesebro, M.D.
599(1)
Continuity
600(20)
Using Technology
616(4)
The Derivative
620(23)
Using Technology
640(3)
Basic Rules of Differentiation
643(14)
Using Technology
654(3)
The Product and Quotient Rules; Higher-Order Derivatives
657(18)
Using Technology
671(4)
The Chain Rule
675(15)
Using Technology
688(2)
Differentiation of Exponential and Logarithmic Functions
690(14)
Using Technology
702(2)
Marginal Functions in Economics
704(14)
Summary and Review Exercises
714(4)
Applications of the Derivative
718(96)
Applications of the First Derivative
720(24)
Using Technology
740(4)
Applications of the Second Derivative
744(20)
Using Technology
760(4)
Curve Sketching
764(20)
Using Technology
776(8)
Optimization I
784(16)
Using Technology
796(4)
Optimization II
800(14)
Summary and Review Exercises
812(2)
Integration
814(102)
Antiderivatives and the Rules of Integration
816(15)
Integration by Substitution
831(11)
Area and the Definite Integral
842(11)
The Fundamental Theorem of Calculus
853(14)
Using Technology
864(3)
Evaluating Definite Integrals
867(12)
Using Technology
876(3)
Area Between Two Curves
879(16)
Using Technology
892(3)
Applications of the Definite Integral to Business and Economics
895(21)
Using Technology
909(2)
Summary and Review Exercises
911(5)
Calculus of Several Variables
916(45)
Functions of Several Variables
918(10)
Partial Derivatives
928(18)
Using Technology
942(4)
Maxima and Minima of Functions of Several Variables
946(15)
Summary and Review Exercises
958(3)
Appendix Table: Compound Amount, Present Value, and Annuity Table 961(18)
Answers to Selected Exercises 979(47)
Index 1026


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