Applied Mathematics for the Managerial, Life, and Social Sciences

by Tan, S. T.

• ISBN13: 9780534365936
• ISBN10: 0534365930
• Format: Hardcover
• Copyright: 2000-12-20
• 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	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