Calculus for the Life Sciences

by Greenwell, Raymond N.; Ritchey, Nathan P.; Lial, Margaret L.

• ISBN13: 9780321964038
• ISBN10: 0321964039
• eBook ISBN(s): 9780321964458
• Edition: 2nd
• Format: Hardcover
• Copyright: 2014-02-19
• Publisher: Pearson
• More Book Details

About This Book

Calculus for the Life Sciences, 2nd Edition

ISBN: 9780321964038

Calculus for the Life Sciences, 2nd Edition, is a comprehensive textbook designed for one or two-semester applied calculus courses in life science. This book is a go-to resource for students and educators alike, offering a detailed exploration of calculus principles and their applications in life sciences.

Who Uses It?

Primarily, this book is used by students and instructors in introductory calculus courses for life sciences at the college and university levels. It's also a valuable resource for anyone interested in understanding the basics of calculus as applied to life sciences, including professionals looking to refresh their knowledge or expand their understanding of mathematical principles in biological contexts.

History and Editions

The 2nd edition of Calculus for the Life Sciences has been updated to incorporate new and interesting applications that motivate students and highlight the utility of mathematics for life sciences. This edition features new ways to engage students with the material, such as "Your Turn" exercises, which encourage active participation and deeper understanding of the subject matter. The book has been published by Pearson since July 13, 2021, and it reflects the latest research and discussions in the field of life sciences.

Author and Other Works

The authors of Calculus for the Life Sciences are Raymond N. Greenwell and Nathan Ritchey. Raymond N. Greenwell is a renowned educator with extensive experience in teaching calculus and its applications. He has written several textbooks aimed at making complex mathematical concepts accessible to students in various fields, including life sciences. Nathan Ritchey contributes to the book's clarity and relevance by ensuring that the mathematical concepts are well-integrated with real-world applications in life sciences.

Key Features

• Comprehensive Coverage: The book covers core concepts in calculus, including detailed explanations and examples relevant to life sciences.
• Engaging Applications: Features interesting, relevant applications that motivate students and highlight the utility of mathematics for life sciences.
• Interactive Exercises: Includes "Your Turn" exercises designed to engage students actively with the material.
• Updated Content: Reflects the latest research and discussions in life sciences, ensuring that the content remains current and relevant.

Detailed Information

ISBNs and Formats

• Hardcover: ISBN-13: 9780321964038
• eTextbook: Not available as a standalone eTextbook; however, it can be accessed through Pearson's digital platforms.
• MyMathLab Package: Available with MyMathLab (ISBN: 9780321964380) for students who require additional interactive tools and resources.

Publication Details

• Publisher: Pearson
• Publication Date: July 13, 2021
• Number of Pages: Not specified
• Language: English

Other Editions and Formats

• Calculus for the Life Sciences Plus MyMathLab with Pearson eText -- Access Card Package: This package includes the physical text and MyMathLab access card (ISBN: 9780321964380).
• Related ISBNs:
• 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
• 0321654064 / 9780321654069 MyMathLab Inside Star Sticker
• 0321964381 / 9780321964380 Calculus for the Life Sciences Plus MyMathLab with Pearson eText -- Access Card Package

This detailed information section provides a quick reference for all the available formats and sources for Calculus for the Life Sciences, 2nd Edition, making it easier to find and access the book in the preferred format.

Author Biography

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 in 1983, 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 has served as 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 the Dean of the College of Science and Health Professions at Edinboro 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/.

 

Marge Lial (late) 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, was affiliated with American River College. An avid reader and traveler, her travel experiences often find their way into her books as applications, exercise sets, and feature sets. Her interest in archeology lead to trips to various digs and ruin sites, producing 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.

 

 

 

Table of Contents

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

 

1. Functions

1.1 Lines and Linear Functions

1.2 The Least Squares Line

1.3 Properties of Functions

1.4 Quadratic Functions; Translation and Reflection

1.5 Polynomial and Rational Functions

            Chapter Review

            Extended Application: Using Extrapolation to Predict Life Expectancy

2. Exponential, Logarithmic, and Trigonometric Functions

2.1 Exponential Functions

2.2 Logarithmic Functions

2.3 Applications: Growth and Decay

2.4 Trigonometric Functions

            Chapter Review

            Extended Application: Power Functions

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

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

4.6 Derivatives of Trigonometric Functions

            Chapter Review

            Extended Application: Managing Renewable Resources

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

 

6. Applications of the Derivative

6.1 Absolute Extrema

6.2 Applications of Extrema

6.3 Implicit Differentiation

6.4 Related Rates

6.5 Differentials: Linear Approximation

            Chapter Review

            Extended Application: A Total Cost Model for a Training Program

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

            Chapter Review

            Extended Application: Estimating Depletion Dates for Minerals

8. Further Techniques and Applications of Integration

8.1 Numerical Integration

8.2 Integration by Parts

8.3 Volume and Average Value

8.4 Improper Integrals

            Chapter Review

            Extended Application: Flow Systems

 

9. Multivariable Calculus

9.1 Functions of Several Variables

9.2 Partial Derivatives

9.3 Maxima and Minima

9.4 Total Differentials and Approximations

9.5 Double Integrals

            Chapter Review

            Extended Application: Optimization for a Predator

10. Matrices

10.1 Solution of Linear Systems

10.2 Addition and Subtraction of Matrices

10.3 Multiplication of Matrices

10.4 Matrix Inverses

10.5 Eigenvalues and Eigenvectors

            Chapter Review

            Extended Application: Contagion

11. Differential Equations

11.1 Solutions of Elementary and Separable Differential Equations

11.2 Linear First-Order Differential Equations

11.3 Euler's Method

11.4 Linear Systems of Differential Equations

11.5 Non-Linear Systems of Differential Equations

11.6 Applications of Differential Equations

            Chapter Review

            Extended Application: Pollution of the Great Lakes

12. Probability

12.1 Sets

12.2 Introduction to Probability

12.3 Conditional Probability; Independent Events; Bayes' Theorem

12.4 Discrete Random Variables; Applications to Decision Making

            Chapter Review

            Extended Application: Medical Diagnosis

13. Probability and Calculus

13.1 Continuous Probability Models

13.2 Expected Value and Variance of Continuous Random Variables.

13.3 Special Probability Density Functions

            Chapter Review

            Extended Application: Exponential Waiting Times

 

14. Discrete Dynamical Systems

14.1 Sequences

14.2 Equilibrium Points

14.3 Determining Stability

            Chapter Review

            Extended Application: Mathematical Modeling in a Dynamic World

 

Special Topics (available online)

 

Sequences and Series

            Geometric Sequences

            Annuities: An Application of Sequences

            Taylor Polynomials

            Infinite Series

            Taylor Series

            Newton’s Method

            L’Hôpital’s Rule

 

Markov Chains