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College Mathematics for Business, Economics, Life Sciences and Social Sciences

ISBN: 9780131432093 | 0131432095
Edition: 11th
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2008

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SummaryTable of Contents
For freshman/sophomore, 2 semester/2-3 quarter courses covering finite mathematics and calculus for students in business, economics, social sciences, or life sciences departments. This mid-level text covers mathematics of finance, linear algebra, linear programming, probability, and descriptive statistics, with an emphasis on cross- discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentra... MORE
Prefaceix
Student and Instructor Resourcesxv
Part One A Library of Elementary Functions
1(128)
... MORE
A Beginning Library of Elementary Functions
2(76)
Functions
3(18)
Elementary Functions: Graphs and Transformations
21(14)
Linear Functions and Straight Lines
35(18)
Quadratic Functions
53(25)
Important Terms, Symbols, and Concepts
68(2)
Review Exercise
70(5)
Group Activity 1: Introduction to Regression Analysis
75(1)
Group Activity 2: Mathematical Modeling in Business
76(2)
Additional Elementary Functions
78(51)
Polynomial and Rational Functions
79(16)
Exponential Functions
95(14)
Logarithmic Functions
109(20)
Important Terms, Symbols, and Concepts
122(1)
Review Exercise
123(3)
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions
126(1)
Group Activity 2: Comparing Regression Models
126(3)
Part Two Finite Mathematics
129(840)
Mathematics of Finance
130(50)
Simple Interest
131(8)
Compound Interest
139(13)
Future Value of an Annuity; Sinking Funds
152(9)
Present Value of an Annuity; Amortization
161(19)
Important Terms, Symbols, and Concepts
174(1)
Review Exercise
175(3)
Group Activity 1: Reducing Interest Payments on a Home Mortgage
178(1)
Group Activity 2: Yield to Maturity and Internal Rate of Return
178(2)
Systems of Linear Equations; Matrices
180(94)
Review: Systems of Linear Equations in Two Variables
182(14)
Systems of Linear Equations and Augmented Matrices
196(9)
Gauss--Jordan Elimination
205(15)
Matrices: Basic Operations
220(14)
Inverse of a Square Matrix
234(11)
Matrix Equations and Systems of Linear Equations
245(10)
Leontief Input-Output Analysis
255(19)
Important Terms, Symbols, and Concepts
264(3)
Review Exercise
267(4)
Group Activity 1: Using Matrices to Find Cost, Revenue, and Profit
271(1)
Group Activity 2: Direct and Indirect Operating Costs
272(2)
Linear Inequalities and Linear Programming
274(100)
Systems of Linear Inequalities in Two Variables
275(14)
Linear Programming in Two Dimensions: Geometric Approach
289(14)
Geometric Introduction to the Simplex Method
303(8)
Simplex Method: Maximization with Problem Constraints of the Form ≤
311(19)
Dual Problem: Minimization with Problem Constraints of the Form ≥
330(16)
Maximization and Minimization with Mixed Problem Constraints
346(28)
Important Terms, Symbols, and Concepts
364(4)
Review Exercise
368(3)
Group Activity 1: Two-Phase Method: Alternative to the Big M Method
371(2)
Group Activity 2: Production Scheduling
373(1)
Logic, Sets, and Counting
374(46)
Logic
375(10)
Sets
385(6)
Basic Counting Principles
391(10)
Permutations and Combinations
401(19)
Important Terms, Symbols, and Concepts
414(1)
Review Exercise
415(2)
Group Activity 1: Combinations with Repetition Allowed
417(1)
Group Activity 2: Subset Lattices of Finite Sets
418(2)
Probability
420(72)
Sample Spaces, Events, and Probability
422(15)
Union, Intersection, and Complement of Events; Odds
437(14)
Conditional Probability, Intersection, and Independence
451(16)
Bayes' Formula
467(7)
Random Variable, Probability Distribution, and Expected Value
474(18)
Important Terms, Symbols, and Concepts
484(1)
Review Exercise
485(4)
Group Activity 1: Car and Crying Towels
489(1)
Group Activity 2: Simulation: Draft Lottery for Professional Sports
490(2)
Markov Chains
492(48)
Properties of Markov Chains
493(13)
Regular Markov Chains
506(11)
Absorbing Markov Chains
517(23)
Important Terms, Symbols, and Concepts
533(1)
Review Exercise
534(3)
Group Activity 1: Social Mobility
537(1)
Group Activity 2: Gambler's Ruin
538(2)
Part Three Calculus
The Derivative
540(94)
Introduction to Limits
542(16)
Continuity
558(12)
The Derivative
570(16)
Power Rule and Basic Differentation Properties
586(10)
Derivatives of Products and Quotients
596(8)
General Power Rule (Chain Rule)
604(8)
Marginal Analysis in Business and Economics
612(22)
Important Terms, Symbols, and Concepts
623(3)
Review Exercise
626(5)
Group Activity 1: Minimal Average Cost
631(1)
Group Activity 2: Numerical Differentiation on a Graphing Utility
632(2)
Graphing and Optimization
634(80)
First Derivative and Graphs
635(18)
Second Derivative and Graphs
653(16)
Graphing Rational Functions
669(16)
Absolute Maxima and Minima
685(7)
Optimization
692(22)
Important Terms, Symbols, and Concepts
706(3)
Review Exercise
709(3)
Group Activity 1: Maximizing Profit
712(1)
Group Activity 2: Minimizing Construction Costs
712(2)
Additional Derivative Topics
714(64)
The Constant e and Continuous Compound Interest
715(8)
Exponential Functions and Their Derivatives
723(11)
Logarithmic Functions and Their Derivatives
734(13)
Chain Rule: Elasticity of Demand
747(12)
Implicit Differentiation
759(7)
Related Rates
766(12)
Important Terms, Symbols, and Concepts
773(1)
Review Exercise
774(2)
Group Activity 1: Increasing Production of Cellular Phones
776(1)
Group Activity 2: Point of Diminishing Returns
777(1)
Integration
778(74)
Antiderivatives and Indefinite Integrals
779(14)
Integration by Substitution
793(12)
Differential Equations; Growth and Decay
805(11)
The Definite Integral
816(11)
The Fundamental Theorem of Calculus
827(25)
Important Terms, Symbols, and Concepts
841(2)
Review Exercise
843(4)
Group Activity 1: Simpson's Rule
847(3)
Group Activity 2: Bell-Shaped Curves
850(2)
Additional Integration Topics
852(46)
Area Between Curves
853(11)
Applications in Business and Economics
864(12)
Integration by Parts
876(7)
Integration Using Tables
883(15)
Important Terms, Symbols, and Concepts
892(1)
Review Exercise
893(2)
Group Activity 1: Analysis of Income Concentration from Raw Data
895(1)
Group Activity 2: Grain Exchange
896(2)
Multivariable Calculus
898(71)
Functions of Several Variables
899(10)
Partial Derivatives
909(10)
Maxima and Minima
919(9)
Maxima and Minima Using Lagrange Multipliers
928(10)
Method of Least Squares
938(11)
Double Integrals Over Rectangular Regions
949(20)
Important Terms, Symbols, and Concepts
960(2)
Review Exercise
962(2)
Group Activity 1: City Planning
964(1)
Group Activity 2: Numerical Integration of Multivariable Functions
965(4)
Basic Algebra Review
969(1)
A Self-Test on Basic Algebra
969(64)
Algebra and Real Numbers
971(6)
Operations on Polynomials
977(8)
Factoring Polynomials
985(7)
Operations on Rational Expressions
992(6)
Integer Exponents and Scientific Notation
998(6)
Rational Exponents and Radicals
1004(7)
Linear Equations and Inequalities in One Variable
1011(10)
Quadratic Equations
1021(12)
B Special Topics
1033(20)
Sequences, Series, and Summation Notation
1033(7)
Arithmetic and Geometric Sequences
1040(8)
The Binomial Theorem
1048(5)
C Tables
1053(1)
Table I Basic Geometric Formulas
1053(2)
Table II Integration Formulas
1055
Answers1(1)
Index1

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