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Student Solutions Manual / Edition 1

Student Solutions Manual / Edition 1

by Margaret L. Lial
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  • Product Details

    ISBN-13: 2900321441637
    Publisher: Pearson
    Publication date: 09/25/2007
    Edition description: New Edition
    Pages: 272
    Product dimensions: 6.00(w) x 1.25(h) x 9.00(d)

    About the Author

    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 theMetropolitan 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:

    Table of Contents

    Chapter R: Algebra Reference (shared with FM, Brief, and Combo)

    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 (shared with FM, Brief, and Combo)

    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: TheDerivative

    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 (new)


    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 (new)


    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 (new)


    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 (From Ray 1/19/07)

    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



    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


    Customer Reviews

    Most Helpful Customer Reviews

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