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Calculus With Applications for the Life Sciences

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

Calculus With Applications for the Life Sciences

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

ISBN 13:
9780201745825
ISBN 10:
0201745828
Edition: 1st
Format: Hardcover
Copyright: 10/14/2002
Publisher: Pearson
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Summary

Calculus With Applications for the Life Sciences was written for the one- or two-semester applied calculus course for life science students with a focus on incorporating interesting, relevant, and realistic applications. This text includes many citations from current data sources. It also offers many opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts.

Preface

CHAPTER R ALGEBRA REFERENCE

R.1 Polynomials

xvi

R.2 Factoring

xix

R.3 Rational Expressions

xxii

R.4 Equations

xxv

R.5 Inequalities

xxxi

R.6 Exponents

xxxvi

R.7 Radicals

xli

CHAPTER 1 FUNCTIONS

1.1 Lines and Linear Functions

(17)

1.2 The Least Squares Line

(12)

1.3 Properties of Functions

(13)

1.4 Quadratic Functions; Translation and Reflection

(10)

1.5 Polynomial and Rational Functions

(14)

1.6 Review Exercises

(7)

1.7 Extended Application: Using Extrapolation to Predict Life Expectancy

(2)

CHAPTER 2 EXPONENTIAL LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS

2.1 Exponential Functions

(12)

2.2 Logarithmic Functions

(14)

2.3 Applications: Growth and Decay

103

(6)

Trigonometric Functions

109

(17)

Summary of Important Functions

126

(2)

Review Exercises

128

(5)

Extended Application: Characteristics of the Monkeyface Prickleback

133

(2)

CHAPTER 3 THE DERIVATIVE

3.1 Limits

135

(19)

3.2 Continuity

154

(8)

3.3 Rates of Change

162

3.4 Definition of the Derivative

113

(77)

3.5 Graphical Differentiation

190

(1)

Review Exercises

191

(12)

CHAPTER 4 CALCULATING THE DERIVATIVE

4.1 Techniques for Finding Derivatives

203

(8)

4.2 Derivatives of Products and Quotients

211

(12)

4.3 The Chain Rule

223

(11)

4.4 Derivatives of Exponential Functions

234

(8)

4.5 Derivatives of Logarithmic Functions

242

(8)

4.6 Derivatives of Trigonometric Functions

250

(9)

Rules for Derivatives Summary

259

(1)

Review Exercises

260

(6)

CHAPTER 5 GRAPHS AND THE DERIVATIVE

5.1 Increasing and Decreasing Functions

266

5.2 Relative Extrema

218

(72)

5.3 Higher Derivatives, Concavity, and the Second Derivative Test

290

(16)

5.4 Curve Sketching

306

(10)

Review Exercises

316

(6)

CHAPTER 6 APPLICATIONS OF THE DERIVATIVE

6.1 Absolute Extrema

322

(9)

6.2 Applications of Extrema

331

(11)

6.3 Implicit Differentiation

342

(7)

6.4 Related Rates

349

(7)

6.5 Differentials: Linear Approximation

356

(7)

Review Exercises

363

(4)

Extended Application: A Total Cost Model for a Training Program

367

(2)

CHAPTER 7 INTEGRATION

7.1 Antiderivatives

369

(11)

7.2 Substitution

380

(9)

7.3 Area and the Definite Integral

389

(14)

7.4 The Fundamental Theorem of Calculus

403

(11)

7.5 Integrals of Trigonometric Functions

414

(5)

7.6 The Area Between Two Curves

419

(7)

7.7 Integration Summary

426

(2)

Review Exercises

428

(5)

Extended Application: Estimating Depletion Dates for Minerals

433

CHAPTER 8 FURTHER TECHNIQUES AND APPLICATIONS OF INTEGRATION

8.1 Numerical Integration

431

(15)

8.2 Integration by Parts

446

(10)

8.3 Volume and Average Value

456

(7)

8.4 Improper Integrals

463

(6)

Review Exercises

469

(3)

Extended Application: Flow Systems

472

(4)

CHAPTER 9 MULTIVARIABLE CALCULUS

9.1 Functions of Several Variables

476

(13)

9.2 Partial Derivatives

489

(11)

9.3 Maxima and Minima

500

(9)

9.4 Total Differentials and Approximations

509

(5)

9.5 Double Integrals

514

(7)

Review Exercises

521

(10)

Extended Application: Optimization for a Predator

531

(3)

CHAPTER 10 MATRICES

10.1 Linear Systems

534

(18)

10.2 Addition and Subtraction of Matrices

552

(9)

10.3 Multiplication of Matrices

561

(12)

10.4 Matrix Inverses

573

(11)

10.5 Eigenvalues and Eigenvectors

584

(11)

Review Exercises

595

(6)

Extended Application: Contagion

601

(2)

CHAPTER 11 DIFFERENTIAL EQUATIONS

11.1 Solutions of Elementary and Separable Differential Equations

603

(13)

11.2 Linear First-Order Differential Equations

616

(7)

11.3 Euler's Method

623

(7)

11.4 Linear Systems of Differential Equations

630

(9)

11.5 Nonlinear Systems of Differential Equations

639

(7)

11.6 Applications of Differential Equations

646

(6)

Review Exercises

652

(4)

Extended Application: Pollution of the Great lakes

656

(3)

CHAPTER 12 PROBABILITY

12.1 Sets

659

(15)

12.2 Introduction to Probability

674

(17)

12.3 Conditional Probability; Independent Events; Bayes' Theorem

691

(18)

12.4 Discrete Random Variables; Applications to Decision Making

709

(12)

Probability Summary

721

(1)

Review Exercises

722

(5)

Extended Application: Medical Diagnosis

727

(2)

CHAPTER 13 PROBABILITY AND CALCULUS

13.1 Continuous Probability Models

729

(9)

13.2 Expected Value and Variance of Continuous Random Variables

738

13.3 Special Probability Density Functions

146

(614)

Review Exercises

760

(5)

Extended Application: Exponential Waiting Times

765

TABLES

Table 1 Formulas from Geometry

A-1

Table 2 Area Under a Normal Curve

A-2

Table 3 Integrals

A-4

Table 4 Integrals Involving Trigonometric Functions

A-5

Answers to Selected Exercises

A-7

Photo Acknowledgments

A-49

Index of Applications

I-1

Index

I-7

Amazon no longer offers textbook rentals. We do!

Calculus With Applications for the Life Sciences

Calculus With Applications for the Life Sciences

9780201745825

0201745828

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Calculus With Applications for the Life Sciences

Calculus With Applications for the Life Sciences

9780201745825

0201745828

Summary

Table of Contents

Supplemental Materials

Write a Review

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