Calculus for the Life Sciences
by Raymond N. Greenwell, Nathan P. Ritchey, Margaret L. Lial
2nd Edition
Publisher: Pearson
Book Details
| Print ISBN | 9780321964038 |
| eText ISBN | 9780321964458 |
| Publisher | Pearson |
| Publishing Year | 2016 |
| Edition | 2nd Edition |
| Language | English |
| Pages | 896 |
Calculus for the Life Sciences, 2nd Edition, is an English-language textbook published by Pearson that presents mathematical methods in biological, environmental, and medical contexts. The text is widely used in colleges and universities across the country.
The volume covers essential algebraic tools, exponential and trigonometric functions, differential and integral calculus, and multivariable functions. It also addresses differential equations, probability, and discrete dynamical systems.
To connect mathematical techniques with scientific analysis, the text incorporates extended applications, including models for intravenously administered drugs.
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: 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
Chapter 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
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
- • 4.6 Derivatives of Trigonometric Functions
- • Chapter Review
- • Extended Application: Managing Renewable Resources
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 Implicit Differentiation
- • 6.4 Related Rates
- • 6.5 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
- • Chapter Review
- • Extended Application: Estimating Depletion Dates for Minerals
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter Special Topics (available online): 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
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