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Calculus with Applications, 9/E
ISBN-10: 0321421329
ISBN-13: 9780321421326
Publisher: Pearson
Copyright: 2008
Format: Cloth; 948 pp
Published: 11/02/2007
Status: Instock
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Description
Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab®, a complete online course solution, a comprehensive series of video lectures is available for this text.
Features
- An Algebra Reference chapter begins the text, allowing students to brush up on their algebra skills.
- Section Opening Questions are thought-provoking questions that are revisited throughout the section, providing helpful context as students read the text.
- A wide variety of Applications reference real data from articles in newspapers, journals, and books. Examples with recent data help students learn how extensively mathematics is applied, how it relates to the world around them, and how they can use it. Applied exercises are grouped by subject and highlighted for easy identification.
- Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning. Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning.
- Diverse Exercise Sets include exercises from Japan's university entrance exam, showing how math is used in a variety of areas around the world. In addition, there are exercises that require writing and conceptualization in order to promote critical thinking, deeper understanding, and integration of concepts and skills. Connection Exercises, denoted with an icon, integrate topics/concepts from different sections. Technology Exercises, denoted with an icon, explore concepts using a graphing calculator or spreadsheet.
- Margin Reviews provide immediate review, or refer students to appropriate review sections as needed.
- Caution boxes warn students of common errors/misconceptions and Note boxes offer additional useful information. Both are highlighted for easy reference.
- Excel® Spreadsheets are included in examples and exercises where appropriate, allowing students to work problems that closely relate to real-life and business situations.
- Optional Graphing Calculator Integration: graphing calculator discussions and TI-83/84 Plus screens are used in many examples, but are not essential for understanding the text.
- MyMathLab® provides a complete online course that is customizable by instructors. This Web-based software includes a wide variety of resources from dynamic multimedia to course management tools. With MyMathLab, instructors can help increase student comprehension and success.
New To This Edition
- 30% new or updated exercises in each section keep this text fresh and relevant for today’s students.
- New! Concept Check exercises in the Chapter reviews help students verify their understanding of important topics.
- Updated data and applications use real data from current sources.
- Expanded Chapter Summaries now include important concepts, rules, and formulas, helping students review what they have learned.
- New! Actuarial Problems from real actuarial science examinations and study guides require students to connect a variety of topics to successfully solve a problem. These challenging problems help students to creatively apply what they have learned.
- Alternative solutions and aids for finding solutions have been incorporated into this edition based on the authors’ own classroom experience and reviewer suggestions. For example, in Calculus with Applications see the additional information on the equations of tangent and secant lines in Chapter 3 and the addition of symmetry as an aid in graphing in Chapter 5.
Table of Contents
Chapter R: Algebra Reference
R-1 Polynomials
R-2 Factoring
R-3 Rational Expressions
R-4 Equations
R-5 Inequalities
R-6 Exponents
R-7 Radicals
Chapter 1: Linear Functions
1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line
Chapter Review
Extended Application: Using Extrapolation to Predict Life Expectancy
Chapter 2: Nonlinear Functions
2-1 Properties of Functions
2-2 Quadratic Functions; Translation and Reflection
2-3 Polynomial and Rational Functions
2-4 Exponential Functions
2-5 Logarithmic Functions
2-6 Applications: Growth and Decay; Mathematics of Finance
Chapter Review
Extended Application: Characteristics of the Monkeyface Prickleback
Chapter 3: The Derivative
3-1 Limits
3-2 Continuity
3-3 Rates of Change
3-4 Definition of the Derivative
3-5 Graphical Differentiation
Chapter Review
Extended Application: A Model for Drugs Administered Intravenously
Chapter 4: Calculating the Derivative
4-1 Techniques for Finding Derivatives
4-2 Derivatives of Products and Quotients
4-3 The Chain Rule
4-4 Derivatives of Exponential Functions
4-5 Derivatives of Logarithmic Functions
Chapter Review
Extended Application: Electric Potential and Electric Field
Chapter 5: Graphs and the Derivative
5-1 Increasing and Decreasing Functions
5-2 Relative Extrema
5-3 Higher Derivatives, Concavity, and the Second Derivative Test
5-4 Curve Sketching
Chapter Review
Extended Application: A Drug Concentration Model for Orally Administered
Medications
Chapter 6: Applications of the Derivative
6-1 Absolute Extrema
6-2 Applications of Extrema
6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
6-4 Implicit Differentiation
6-5 Related Rates
6-6 Differentials: Linear Approximation
Chapter Review
Extended Application: A Total Cost Model for a Training Program
Chapter 7: Integration
7-1 Antiderivatives
7-2 Substitution
7-3 Area and the Definite Integral
7-4 The Fundamental Theorem of Calculus
7-5 The Area Between Two Curves
7-6 Numerical Integration
Chapter Review
Extended Application: Estimating Depletion Dates for Minerals
Chapter 8: Further Techniques and Applications of Integration
8-1 Integration by Parts
8-2 Volume and Average Value
8-3 Continuous Money Flow
8-4 Improper Integrals
Chapter Review
Extended Application: Estimating Learning Curves in Manufacturing with Integrals
Chapter 9: Multivariable Calculus
9-1 Functions of Several Variables
9-2 Partial Derivatives
9-3 Maxima and Minima
9-4 Lagrange Multipliers
9-5 Total Differentials and Approximations
9-6 Double Integrals
Chapter Review
Extended Application: Using Multivariable Fitting to Create a Response Surface Design
Chapter 10: Differential Equations
10-1 Solutions of Elementary and Separable Differential Equations
10-2 Linear First-Order Differential Equations
10-3 Euler's Method
10-4 Applications of Differential Equations
Chapter Review
Extended Application: Pollution of the Great Lakes
Chapter 11: Probability and Calculus
11-1 Continuous Probability Models
11-2 Expected Value and Variance of Continuous Random Variables
11-3 Special Probability Density Functions
Chapter Review
Extended Application: Exponential Waiting Times
Chapter 12: Sequences and Series
12-1 Geometric Sequences
12-2 Annuities: An Application of Sequences
12-3 Taylor Polynomials
12-4 Infinite Series
12-5 Taylor Series
12-6 Newton's Method
12-7 L'Hospital's Rule
Chapter Review
Chapter 13: The Trigonometric Functions
13-1 Definitions of the Trigonometric Functions
13-2 Derivatives of Trigonometric Functions
13-3 Integrals of Trigonometric Functions
Chapter Review
Extended Application: The Shortest Time and the Cheapest Path
Tables
Table 1 Formulas of Geometry
Table 2 Area Under a Normal Curve
Table 3 Integrals
Table 4 Integrals Involving Trigonometric Functions
Answers to Selected Exercises
Photo Acknowledgements
Index
Previous Edition(s)
Lial, Greenwell & Ritchey
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ISBN-10: 0201773252 | ISBN-13: 9780201773255
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©2012 | Pearson | Cloth; 832 pp | Instock
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Author Bios
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/.
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