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Biocalculus: Calculus, Probability, and Statistics for the Life Sciences

By James Stewart, Troy Day

2nd Edition © 2026
Discipline:Mathematics
Course:Calculus
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Stewart/Day’s “Biocalculus: Calculus, Probability, and Statistics for the Life Sciences” 2nd Edition, with WebAssign, emphasizes problem-solving while demonstrating how calculus relates to biology. The coverage motivates and illustrates the topics of calculus with examples drawn from many areas of biology, including genetics, biomechanics, medicine, pharmacology, physiology, ecology, epidemiology, evolution and more. The second edition has been updated to engage today’s students and include the latest terminology and issues. Particular attention has been paid to ensuring that all applications of mathematics are genuine. Students will come away with a sound knowledge of mathematics, an understanding of the importance of mathematical arguments and a clear understanding of how these mathematical concepts and techniques are central in the life sciences.

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WebAssign for Stewart/Day’s “Biocalculus: Calculus, Probability, and Statistics for the Life Sciences” 2nd Edition, is a flexible and fully customizable online instructional solution that puts powerf…

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About this product

Stewart/Day’s “Biocalculus: Calculus, Probability, and Statistics for the Life Sciences” 2nd Edition, with WebAssign, emphasizes problem-solving while demonstrating how calculus relates to biology. The coverage motivates and illustrates the topics of calculus with examples drawn from many areas of biology, including genetics, biomechanics, medicine, pharmacology, physiology, ecology, epidemiology, evolution and more. The second edition has been updated to engage today’s students and include the latest terminology and issues. Particular attention has been paid to ensuring that all applications of mathematics are genuine. Students will come away with a sound knowledge of mathematics, an understanding of the importance of mathematical arguments and a clear understanding of how these mathematical concepts and techniques are central in the life sciences.

Biological background for each application is given, and actual data concerning biological phenomena is used to introduce, motivate and illustrate the concepts of calculus.

Graded exercise sets progress from basic conceptual exercises and skill-development problems to more challenging problems involving applications and proofs.

Conceptual homework exercise sets offer a variety of problem types, including requests to explain the meanings of the basic concepts of the section.

Engaging projects such as “Drug Resistance in Malaria” and “Flapping and Gliding of Birds” provide active learning opportunities for students individually or in groups.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
Dedication
About the Authors
Preface
Acknowledgments
To the Student
Calculators, Computers, and Other Graphing Devices
Diagnostic Tests
. Prologue: Mathematics and Biology*Preview this chapter
. Case Studies in Mathematical Modeling
1. Functions and Sequences
2. Limits
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Integrals
7. Differential Equations
8. Vectors and Matrix Models
9. Multivariable Calculus
10. Probability
11. Data Analysis: Exploration, Prediction, and Inference
12. Systems of Linear Differential Equations
13. Inferential Statistics
Backmatter
A. Intervals, Inequalities, and Absolute Values
B. Coordinate Geometry
C. Trigonometry
D. Precise Definitions of Limits
E. A Few Proofs
F. Sigma Notation
G. Complex Numbers
H. Reference Pages
Glossary of Biological Terms
Quick Prep
Show more

. Prologue: Mathematics and BiologyPreview this chapter ↗

Calculus and Biology
Preview this section ↗
Species Richness ↗
Vectorcardiography ↗
Drug and Alcohol Metabolism ↗
Population Dynamics ↗
Antigenic Cartography and Vaccine Design ↗
Biomechanics of Human Movement ↗
Measles Pathogenesis ↗
Blood Flow ↗
Conservation Biology ↗
Probability, Statistics, and Biology
Preview this section ↗
DNA Supercoiling ↗
Huntington’s Disease ↗
Performance-enhancing Drugs ↗

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