Calculus for the Life Sciences 1 by James Cornette, Ralph Ackerman
Calculus for the Life Sciences 1 - Table of Contents
1. Mathematical Models of Biological Processes
2. Functions
3. The Derivative
4. Continuity and the Power Chain Rule
5. Derivatives of the Exponential and Logarithm Functions
6. Derivatives of Products, Quotients, and Compositions
7. Derivatives of Trigonometric Functions
8. Applications of Derivatives
9. The Mean Value Theorem and Taylor's Polynomials
10. Partial Derivatives and the Diffusion Equation
11. The Integral
12. The Fundamental Theorem of Calculus
13. Applications of the Fundamental Theorem of Calculus
What You Will Learn in Calculus for the Life Sciences 1
"Calculus for the Life Sciences: A Modeling Approach 1" by "James Cornette" and "Ralph Ackerman" is a specialized "calculus" textbook designed for students in "life sciences" programs. The book emphasizes "mathematical modeling" to help learners understand how calculus concepts apply to real biological phenomena. It introduces foundational topics such as limits, "derivatives", basic differential equations, and growth models, showing how these tools describe patterns in populations, enzyme reactions, and ecological systems.
The text focuses on building "conceptual understanding" rather than just performing calculations. Each chapter includes guided exercises and real-world examples that encourage students to apply calculus to practical problems in biology and related fields. The authors’ approach ensures that learners can see the connection between abstract mathematical concepts and tangible biological processes, enhancing engagement and comprehension.
Ideal for undergraduate courses or self-study, "Calculus for the Life Sciences 1" prepares students for more advanced topics in biology, ecology, and medicine. By blending "calculus", modeling, and real-life applications, the book develops analytical skills and problem-solving abilities. Its clear explanations and activity-driven approach make calculus both accessible and relevant for students pursuing careers in life sciences.
Book Details & Specifications
Title:
Calculus for the Life Sciences 1 by James Cornette, Ralph Ackerman
Publisher:
A.T. Still University
Year:
2011
Pages:
602
Type:
PDF
Language:
English
ISBN-10 #:
1470451425
ISBN-13 #:
978-1470451424
License:
CC BY-NC-ND 4.0
Amazon:
Amazon
About the Author: James L. Cornette and Ralph A. Ackerman
The author James L. Cornette and Ralph A. Ackerman
are professors at "Iowa State University" and the authors of "Calculus for the Life Sciences 1". Their textbook introduces "calculus" through "mathematical modeling", focusing on real-life biological applications. It helps students in the "life sciences" understand concepts like difference equations and differential equations in a practical, problem-solving context. Cornette contributed decades of experience in mathematics, genetics, and viral dynamics, while Ackerman added insights from ecology and organismal biology. Together, they created an "interdisciplinary" approach that promotes active learning, making complex calculus concepts accessible, relevant, and engaging for STEM students.
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