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Calculus With Applications for the Life Sciences,9780201745825
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Calculus With Applications for the Life Sciences

by ; ;
Edition:
1st
ISBN13:

9780201745825

ISBN10:
0201745828
Media:
Hardcover
Pub. Date:
10/14/2002
Publisher(s):
Pearson
List Price: $190.33

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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.

Table of Contents

Preface xi
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
2(17)
1.2 The Least Squares Line
19(12)
1.3 Properties of Functions
31(13)
1.4 Quadratic Functions; Translation and Reflection
44(10)
1.5 Polynomial and Rational Functions
54(14)
1.6 Review Exercises
68(7)
1.7 Extended Application: Using Extrapolation to Predict Life Expectancy
75(2)
CHAPTER 2 EXPONENTIAL LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS
2.1 Exponential Functions
77(12)
2.2 Logarithmic Functions
89(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


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