|
![]() |
|||
|
||||
OverviewFinite Mathematics and Calculus with Applications, Ninth Edition, by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to get involved with the material, such as “Your Turn” exercises and “Apply It” vignettes that encourage active participation. NOTE: This is the standalone book, if the student wants the book/access card order the ISBN below 0321760042 / 9780321760043 Finite Mathematics and Calculus with Applications plus MyMathLab/MyStatLab -- Access Card Package Full Product DetailsAuthor: Margaret L. Lial , Raymond N. Greenwell , Nathan P. RitcheyPublisher: Pearson Education (US) Imprint: Pearson Edition: 9th edition Dimensions: Width: 22.20cm , Height: 4.10cm , Length: 27.30cm Weight: 2.340kg ISBN: 9780321749086ISBN 10: 0321749081 Pages: 1136 Publication Date: 08 February 2012 Audience: College/higher education , Undergraduate Replaced By: 9781292040257 Format: Hardback Publisher's Status: Out of Print Availability: Awaiting stock ![]() Table of ContentsR. Algebra Reference R.1 Polynomials R.2 Factoring R.3 Rational Expressions R.4 Equations R.5 Inequalities R.6 Exponents R.7 Radicals 1. Linear Functions 1.1 Slopes and Equations of Lines 1.2 Linear Functions and Applications 1.3 The Least Squares Line Chapter 1 Review Extended Application: Using Extrapolation to Predict Life Expectancy 2. Systems of Linear Equations and Matrices 2.1 Solution of Linear Systems by the Echelon Method 2.2 Solution of Linear Systems by the Gauss-Jordan Method 2.3 Addition and Subtraction of Matrices 2.4 Multiplication of Matrices 2.5 Matrix Inverses 2.6 Input-Output Models Chapter 2 Review Extended Application: Contagion 3. Linear Programming: The Graphical Method 3.1 Graphing Linear Inequalities 3.2 Solving Linear Programming Problems Graphically 3.3 Applications of Linear Programming Chapter 3 Review Extended Application: Sensitivity Analysis 4. Linear Programming: The Simplex Method 4.1 Slack Variables and the Pivot 4.2 Maximization Problems 4.3 Minimization Problems; Duality 4.4 Nonstandard Problems Chapter 4 Review Extended Application: Using Integer Programming in the Stock-Cutting Problem 5. Mathematics of Finance 5.1 Simple and Compound Interest 5.2 Future Value of an Annuity 5.3 Present Value of an Annuity; Amortization Chapter 5 Review Extended Application: Time, Money, and Polynomials 6. Logic 6.1 Statements 6.2 Truth Tables and Equivalent Statements 6.3 The Conditional and Circuits 6.4 More on the Conditional 6.5 Analyzing Arguments and Proofs 6.6 Analyzing Arguments with Quantifiers Chapter 6 Review Extended Application: Logic Puzzles 7. Sets and Probability 7.1 Sets 7.2 Applications of Venn Diagrams 7.3 Introduction to Probability 7.4 Basic Concepts of Probability 7.5 Conditional Probability; Independent Events 7.6 Bayes' Theorem Chapter 7 Review Extended Application: Medical Diagnosis 8. Counting Principles; Further Probability Topics 8.1 The Multiplication Principle; Permutations 8.2 Combinations 8.3 Probability Applications of Counting Principles 8.4 Binomial Probability 8.5 Probability Distributions; Expected Value Chapter 8 Review Extended Application: Optimal Inventory for a Service Truck 9. Statistics 9.1 Frequency Distributions; Measures of Central Tendency 9.2 Measures of Variation 9.3 The Normal Distribution 9.4 Normal Approximation to the Binomial Distribution Chapter 9 Review Extended Application: Statistics in the Law - The Castaneda Decision 10. Nonlinear Functions 10.1 Properties of Functions 10.2 Quadratic Functions; Translation and Reflection 10.3 Polynomial and Rational Functions 10.4 Exponential Functions 10.5 Logarithmic Functions 10.6 Applications: Growth and Decay; Mathematics of Finance Chapter 10 Review Extended Application: Characteristics of the Monkeyface Prickleback 11. The Derivative 11.1 Limits 11.2 Continuity 11.3 Rates of Change 11.4 Definition of the Derivative 11.5 Graphical Differentiation Chapter 11 Review Extended Application: A Model for Drugs Administered Intravenously 12. Calculating the Derivative 12.1 Techniques for Finding Derivatives 12.2 Derivatives of Products and Quotients 12.3 The Chain Rule 12.4 Derivatives of Exponential Functions 12.5 Derivatives of Logarithmic Functions Chapter 12 Review Extended Application: Electrical Potential and Electric Field 13. Graphs and the Derivative 13.1 Increasing and Decreasing Functions 13.2 Relative Extrema 13.3 Higher Derivatives, Concavity, and the Second Derivative Test 13.4 Curve Sketching Chapter 13 Review Extended Application: A Drug Concentration Model for Orally Administered Medications 14. Applications of the Derivative 14.1 Absolute Extrema 14.2 Applications of Extrema 14.3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand 14.4 Implicit Differentiation 14.5 Related Rates 14.6 Differentials: Linear Approximation Chapter 14 Review Extended Application: A Total Cost Model for a Training Program 15. Integration 15.1 Antiderivatives 15.2 Substitution 15.3 Area and the Definite Integral 15.4 The Fundamental Theorem of Calculus 15.5 The Area Between Two Curves 15.6 Numerical Integration Chapter15 Review Extended Application: Estimating Depletion Dates for Minerals 16. Further Techniques and Applications of Integration 16.1 Integraton by Parts 16.2 Volume and Average Value 16.3 Continuous Money Flow 16.4 Improper Integrals Chapter 16 Review Extended Application: Estimating Learning Curves in Manufacturing with Integrals 17. Multivariable Calculus 17.1 Functions of Several Variables 17.2 Partial Derivatives 17.3 Maxima and Minima 17.4 Lagrange Multipliers 17.5 Total Differentials and Approximations 17.6 Double Integrals Chapter 17 Review Extended Application: Using Multivariable Fitting to Create a Response Surface DesignReviewsAuthor Information"Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. Raymond N. Greenwell earned a B.A. in Mathematics and Physics from the University of San Diego, and an M.S. in Statistics, an M.S. in Applied Mathematics, and a Ph.D. in Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics. Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program. Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is currently a Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Youngstown State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations. In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's ""People Who Make a Difference Award,"" the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program. A father of four children, Nate enthusiastically coaches soccer and softball. He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: http://www.as.ysu.edu/~nate/ " Tab Content 6Author Website:Countries AvailableAll regions |