Finite Mathematics and Applied Calculus

by Waner, Stefan; Costenoble, Steven

• ISBN13: 9780534366308
• ISBN10: 0534366309
• Format: Hardcover
• Copyright: 2000-12-20
• Publisher: Brooks Cole

Summary

Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, 4th Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft Excel and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.

Table of Contents

Functions and Linear Models	2	(68)
Functions from the Numerical and Algebraic Viewpoints	3	(12)
Functions from the Graphical Viewpoint	15	(12)
Linear Functions	27	(11)
Linear Models	38	(16)
Linear Regression (optional)	54	(16)
You're the Expert Modeling Spending on Internet Advertising	63	(4)
review test	67	(3)
Optional Internet Topic
New Functions from Old: Scaled and Shifted Functions
Systems of Linear Equations and Matrices	70	(54)
Systems of Two Linear Equations in Two Unknowns	71	(14)
Using Matrices to Solve Systems of Equations	85	(20)
Applications of Systems of Linear Equations	105	(19)
You're the Expert The Impact of Regulating Sulfur Emissions	117	(4)
review test	121	(3)
Matrix Algebra and Applications	124	(56)
Matrix Addition and Scalar Multiplication	125	(11)
Matrix Multiplication	136	(14)
Matrix Inversion	150	(11)
Input-Output Models	161	(19)
You're the Expert The Japanese Economy	175	(2)
review test	177	(3)
Linear Programming	180	(76)
Graphing Linear Inequalities	181	(11)
Solving Linear Programming Problems Graphically	192	(17)
The Simplex Method: Solving Standard Maximization Problems	209	(18)
The Simplex Method: Solving General Linear Programming Problems	227	(13)
The Simplex Method and Duality (optional)	240	(16)
You're the Expert Airline Scheduling	249	(3)
review test	252	(4)
The Mathematics of Finance	256	(46)
Simple Interest	257	(7)
Compound Interest	264	(12)
Annuities, Loans, and Bonds	276	(26)
You're the Expert Saving for College	295	(4)
review test	299	(3)
Sets and Counting	302	(46)
Sets and Set Operations	303	(10)
Cardinality	313	(9)
The Addition and Multiplication Principles	322	(9)
Permutations and Combinations	331	(17)
You're the Expert Designing a Puzzle	343	(2)
review test	345	(3)
Probability	348	(78)
Sample Spaces and Events	349	(13)
Estimated Probability	362	(9)
Empirical Probability	371	(9)
Probability and Counting Techniques (optional)	380	(9)
Abstract Probability	389	(8)
Conditional Probability and Independence	397	(14)
Bayes' Theorem and Applications	411	(15)
You're the Expert The Monty Hall Problem	420	(2)
rewiew test	422	(4)
Random Variables and Statistics	426	(60)
Random Variables and Distributions	427	(10)
Bernoulli Trials and Binomial Random Variables	437	(6)
Measures of Central Tendency	443	(12)
Measures of Dispersion	455	(13)
Normal Distributions	468	(18)
You're the Expert Spotting Tax Fraud with Benford's Law	478	(3)
review test	481	(5)
Optional Internet Topics
Sampling Distributions and the Central Limit Theorem
Confidence Intervals
Markov Systems	486	(54)
Markov Systems	487	(8)
Distribution Vectors and Powers of the Transition Matrix	495	(12)
Long-Range Behavior of Regular Markov Systems	507	(13)
Absorbing Markov Systems	520	(20)
You're the Expert Predicting the Price of Gold	532	(4)
review test	536	(4)
Nonlinear Models	540	(52)
Quadratic Functions and Models	541	(8)
Exponential Functions and Models	549	(15)
Logarithmic Functions and Models	564	(9)
Trigonometric Functions and Models (optional)	573	(19)
You're the Expert Epidemics	586	(3)
review test	589	(3)
Optional Internet Topics
Linear and Exponential Regression
Using and Deriving Algebraic Properties of Logarithms
Introduction to the Derivative	592	(76)
Average Rate of Change	594	(9)
The Derivative As Rate of Change: A Numerical Approach	603	(10)
The Derivative As Slope: A Geometric Approach	613	(9)
The Derivative As a Function: An Algebraic Approach	622	(11)
A First Application: Marginal Analysis	633	(9)
Limits and Continuity: Numerical and Graphical Approaches (optional)	642	(11)
Limits and Continuity: Algebraic Approach (optional)	653	(15)
You're the Expert Reducing Sulfur Emissions	661	(3)
review test	664	(4)
Optional Internet Topics
Sketching the Graph of the Derivative
Proof of the Power Rule
Continuity and Differentiability
Techniques of Differentiation	668	(58)
The Product and Quotient Rules	669	(10)
The Chain Rule	679	(11)
Derivatives of Logarithmic and Exponential Functions	690	(12)
Derivatives of Trigonometric Functions (optional)	702	(7)
Implicit Differentiation	709	(17)
You're the Expert Projecting Market Growth	717	(7)
review test	724	(2)
Optional Internet Topic
Linear Approximation and Error Estimation
Applications of the Derivative	726	(58)
Maxima and Minima	727	(12)
Applications of Maxima and Minima	739	(13)
The Second Derivative and Analyzing Graphs	752	(12)
Related Rates	764	(8)
Elasticity of Demand	772	(12)
You're the Expert Production Lot Size Management	778	(4)
review test	782	(2)
The Integral	784	(58)
The Indefinite Integral	785	(11)
Substitution	796	(9)
The Definite Integral As a Sum: A Numerical Approach	805	(10)
The Definite Integral As Area: A Geometric Approach	815	(9)
The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus	824	(18)
You're the Expert Wage Inflation	837	(3)
review test	840	(2)
Optional Internet Topic
Numerical Integration
Further Integration Techniques and Applications of the Integral	842	(58)
Integration by Parts	843	(7)
Area Between Two Curves and Applications	850	(12)
Averages and Moving Averages	862	(10)
Continuous Income Streams	872	(5)
Improper Integrals and Applications	877	(8)
Differential Equations and Applications	885	(15)
You're the Expert Estimating Tax Revenues	893	(5)
review test	898	(2)
Functions of Several Variables	900
Functions of Several Variables from the Numerical and Algebraic Viewpoints	901	(13)
Three-Dimensional Space and the Graph of a Function of Two Variables	914	(11)
Partial Derivatives	925	(8)
Maxima and Minima	933	(10)
Constrained Maxima and Minima and Applications	943	(11)
Double Integrals	954
You're the Expert Modeling Household Income	963	(7)
review test	970
Game Theory (Optional Internet Topic)
Two-Person Zero Sum Games; Reduction by Dominance
Strictly Determined Games
Mixing Strategies
Solving Games using the Simplex Method
You're the Expert Harvesting Forests
Introduction to Logic (Optional Internet Topic)
Statements and Logical Operators
Logical Equivalence, Tautologies, and Contradictions
The Conditional and the Biconditional
Tautological Implications and Tautological Equivalences
Rules of Inference
Arguments and Proofs
Calculus Applied to Probability and Statistics (Optional Internet Topic)
Continuous Random Variables and Histograms
Probability Density Functions: Uniform, Exponential, Normal, and Beta
Mean, Median, Variance, and Standard Deviation
You're the Expert Creating a Family Trust
APPENDIX A Algebra Review
Real Numbers	1	(6)
Exponents and Radicals	7	(7)
Multiplying and Factoring Algebraic Equations	14	(5)
Rational Expressions	19	(2)
Solving Polynomial Equations	21	(6)
Solving Miscellaneous Equations	27	(4)
APPENDIX B Area Under a Normal Curve	31	(2)
Answers to Selected Exercises	33
Index	1