Calculus for Biology and Medicine, 4th edition
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Overview
Calculus for Biology and Medicine shows how calculus is used to analyze phenomena in nature. The text motivates life and health science majors to learn calculus through relevant and strategically placed applications to their chosen fields.
Published by Pearson (August 1st 2021)  Copyright © 2017
ISBN13: 9780137561612
Subject: Finite Math & Applied Calculus
Category: Calculus for Life Sciences
Table of contents
(NOTE: Each chapter concludes with Key Terms and Review Problems.)
1. Preview and Review
 1.1 Precalculus Skills Diagnostic Test
 1.2 Preliminaries
 1.3 Elementary Functions
 1.4 Graphing
2. DiscreteTime Models, Sequences, and Difference Equations
 2.1 Exponential Growth and Decay
 2.2 Sequences
 2.3 Modeling with Recurrence Equations
3. Limits and Continuity
 3.1 Limits
 3.2 Continuity
 3.3 Limits at Infinity
 3.4 Trigonometric Limits and the Sandwich Theorem
 3.5 Properties of Continuous Functions
 3.6 A Formal Definition of Limits (Optional)
4. Differentiation
 4.1 Formal Definition of the Derivative
 4.2 Properties of the Derivative
 4.3 Power Rules and Basic Rules
 4.4 The Product and Quotient Rules, and the Derivatives of Rational and Power Functions
 4.5 Chain Rule
 4.6 Implicit Functions and Implicit Differentiation
 4.7 Higher Derivatives
 4.8 Derivatives of Trigonometric Functions
 4.9 Derivatives of Exponential Functions
 4.10 Inverse Functions and Logarithms
 4.11 Linear Approximation and Error Propagation
5. Applications of Differentiation
 5.1 Extrema and the MeanValue Theorem
 5.2 Monotonicity and Concavity
 5.3 Extrema and Inflection Points
 5.4 Optimization
 5.5 L'Hôpital's Rule
 5.6 Graphing and Asymptotes
 5.7 Recurrence Equations: Stability (Optional)
 5.8 Numerical Methods: The Newton  Raphson Method (Optional)
 5.9 Modeling Biological Systems Using Differential Equations (Optional)
 5.10 Antiderivatives
6. Integration
 6.1 The Definite Integral
 6.2 The Fundamental Theorem of Calculus
 6.3 Applications of Integration
7. Integration Techniques and Computational Methods
 7.1 The Substitution Rule
 7.2 Integration by Parts and Practicing Integration
 7.3 Rational Functions and Partial Fractions
 7.4 Improper Integrals (Optional)
 7.5 Numerical Integration
 7.6 The Taylor Approximation (optional)
 7.7 Tables of Integrals (Optional)
8. Differential Equations
 8.1 Solving Separable Differential Equations
 8.2 Equilibria and Their Stability
 8.3 Differential Equation Models
 8.4 Integrating Factors and TwoCompartment Models
9. Linear Algebra and Analytic Geometry
 9.1 Linear Systems
 9.2 Matrices
 9.3 Linear Maps, Eigenvectors, and Eigenvalues
 9.4 Demographic Modeling
 9.5 Analytic Geometry
10. Multivariable Calculus
 10.1 Two or More Independent Variables
 10.2 Limits and Continuity (optional)
 10.3 Partial Derivatives
 10.4 Tangent Planes, Differentiability, and Linearization
 10.5 The Chain Rule and Implicit Differentiation (Optional)
 10.6 Directional Derivatives and Gradient Vectors (Optional)
 10.7 Maximization and Minimization of Functions (Optional)
 10.8 Diffusion (Optional)
 10.9 Systems of Difference Equations (Optional)
11. Systems of Differential Equations
 11.1 Linear Systems: Theory
 11.2 Linear Systems: Applications
 11.3 Nonlinear Autonomous Systems: Theory
 11.4 Nonlinear Systems: Lotka  Volterra Model of Interspecific Interactions
 11.5 More Mathematical Models (Optional)
12. Probability and Statistics
 12.1 Counting
 12.2 What Is Probability?
 12.3 Conditional Probability and Independence
 12.4 Discrete Random Variables and Discrete Distributions
 12.5 Continuous Distributions
 12.6 Limit Theorems
 12.7 Statistical Tools
Appendices
 A: Frequently Used Symbols
 B: Table of the Standard Normal Distribution
Answers to OddNumbered Problems
References
Photo Credits
Index
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