Calculus for Biology and Medicine, 4th edition

  • Claudia Neuhauser, 
  • Marcus Roper

$16.99per month

Minimum 4-month term, pay monthly or pay $67.96 upfront

Includes:

  • Instant access to eTextbook
  • Search, highlight, notes, and more
  • Expert video lessons and practice questions
  • Q&A with experts and AI tutor
  • Printable study guides
14-day refund guarantee

$10.99per month

Minimum 4-month term, pay monthly or pay $43.96 upfront

Includes:

  • Instant access to eTextbook
  • Search, highlight, notes, and more
14-day refund guarantee

$16.99per month

Minimum 4-month term, pay monthly or pay $67.96 upfront

Includes:

  • Instant access to eTextbook
  • Search, highlight, notes, and more
  • Expert video lessons and practice questions
  • Q&A with experts and AI tutor
  • Printable study guides
14-day refund guarantee

$10.99per month

Minimum 4-month term, pay monthly or pay $43.96 upfront

Includes:

  • Instant access to eTextbook
  • Search, highlight, notes, and more
14-day refund guarantee

$10.99per month

Minimum 4-month term, pay monthly or pay $43.96 upfront

Includes:

  • Instant access to eTextbook
  • Search, highlight, notes, and more
14-day refund guarantee

$10.99per month

Minimum 4-month term, pay monthly or pay $43.96 upfront

Includes:

  • Instant access to eTextbook
  • Search, highlight, notes, and more
14-day refund guarantee

Learn more, spend less

  • Listen on the go

    Learn how you like with full eTextbook audio

  • Find it fast

    Quickly navigate your eTextbook with search

  • Stay organized

    Access all your eTextbooks in one place

  • Easily continue access

    Keep learning with auto-renew

Overview

For one-semester or two-semester courses in Calculus for Life Sciences.


Shows students how calculus is used to analyze phenomena in nature—while providing flexibility for instructors to teach at their desired level of rigor

Calculus for Biology and Medicine motivates life and health science majors to learn calculus through relevant and strategically placed applications to their chosen fields. It presents the calculus in such a way that the level of rigor can be adjusted to meet the specific needs of the audience, from a purely applied course to one that matches the rigor of the standard calculus track.  


In the 4th Edition, new co-author Marcus Roper (UCLA) partners with author Claudia Neuhauser to preserve these strengths while adding an unprecedented number of real applications and infusing more modeling and technology.


Also available with MyLab Math

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. For the first time, instructors teaching with Calculus for Biology and Medicine can assign text-specific online homework and other resources to students outside of the classroom. Learn more about MyLab Math.


Published by Pearson (August 1st 2021) - Copyright © 2017

ISBN-13: 9780137561612

Subject: Finite Math & Applied Calculus

Category: Calculus for Life Sciences

Overview

(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. Discrete-Time 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 Mean-Value 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 Two-Compartment 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 Odd-Numbered Problems

References

Photo Credits

Index

Your questions answered

Pearson+ is your 1-stop shop with eTextbooks, study tools and exam prep features designed to help students get better grades in college. eTextbooks come with built-in tools that simplify studying, like flashcards, audiobook and search. Pearson+ also features Channels, which includes practice problems, study guides, Q&A with experts, video lessons that help you understand tricky topics and more—all in one place. Channels can be purchased separately or added on to your eTextbook at the time of purchase as part of the Study & Exam Prep Pack.

A Pearson eTextbook is an easy-to-use digital version of your book for class that includes upgraded study tools to help you learn how you learn best. Use enhanced search to find what you need within your eTextbook, highlight and make notes to mark important info, generate flashcards to test your knowledge, and use audio to listen to the text. Every feature is designed to help you learn more efficiently and get results. Plus, you can learn on the go with the Pearson+ app. Find this and more in your eTextbook, available in Pearson+.

The Study & Exam Prep Pack includes practice problems, study guides, Q&A with experts, Channels video lessons that help you understand tricky topics and more. It can be added on to your eTextbook or your MyLab and Mastering learning platform at the time of purchase.

Your eTextbook subscription gives you access for 4 months. You can make a one‑time payment for the initial 4‑month term or pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 4‑month term ends. You can turn on auto‑renew in My account at any time to continue your subscription before your 4‑month term ends.

When you purchase an eTextbook subscription, it will last 4 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends.

If you extend your subscription, we'll automatically charge you every month. If you made a one‑time payment for your initial 4‑month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details.

To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.

Channels is a video platform with thousands of explanations, solutions and practice problems to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI‑powered summaries and a social community help you better understand lessons from class.

Channels is an additional tool to help you with your studies. This means you can use Channels even if your course uses a non‑Pearson textbook.

When you choose a Channels subscription, you're signing up for a 1‑month, 3‑month or 12‑month term and you make an upfront payment for your subscription. By default, these subscriptions auto‑renew at the frequency you select during checkout.

When you purchase a Channels subscription it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it.

We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details.