Calculus for the Life Sciences, 2nd edition

  • Raymond N. Greenwell, 
  • Nathan P. Ritchey, 
  • Margaret L. Lial

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Overview

Calculus for the Life Sciences features interesting, relevant applications that highlight the utility of mathematics for the life sciences. Step-by-step examples guide you to the correct answer while reviews and exercises provide easy ways to stop and check your understanding along the way.

Published by Pearson (July 14th 2021) - Copyright © 2015

ISBN-13: 9780137553457

Subject: Finite Math & Applied Calculus

Category: Calculus for Life Sciences

Table of contents

Table of Contents

  1. 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 Eigenvectorsx
    • 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

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