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Calculus for the Life Sciences, 2nd edition

Published by Pearson (July 14, 2021) © 2015

  • Raymond N. Greenwell Hofstra University
  • Nathan P. Ritchey Edinboro University of PA , Youngstown State University
  • Margaret L. Lial American River College

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ISBN-13: 9780137553457
Calculus for the Life Sciences
Published 2021

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ISBN-13: 9780321963857
MyLab Math with Pearson eText for Calculus for the Life Sciences
Published 2014

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For freshman/sophomore, 1—2 semester or 2—3 quarter courses covering calculus for students in life sciences.

Calculus for the Life Sciences features interesting, relevant applications that motivate students and highlight the utility of mathematics for the life sciences. This edition also features new ways to engage students with the material, such as Your Turn exercises. The MyMathLab® course for the text provides online homework supported by learning resources such as video tutorials, algebra help, and step-by-step examples.

Teaching and Learning Experience
This program will provide a better teaching and learning experience. Here’s how:

  • Personalized help with MyMathLab: MyMathLab delivers proven results by personalizing the learning process.
  • Motivation: Students constantly see the math applied to the life sciences.
  • Built for student success: Proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

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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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