Calculus for the life sciences pdf

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Description

In this much anticipated Calculus for Life Sciences, Binder Ready Version, the authors present the basic canons of first-year calculus, but motivated through real biological problems. The two main goals of the text are to provide students with a thorough grounding in calculus concepts and applications, analytical techniques, and numerical methods and to have students understand how, when, and why calculus can be used to model biological phenomena. Both students and instructors will find the book to be a gateway to the exciting interface of mathematics and biology. This text is an unbound, binder-ready edition.

About the Author

Sebastian J. Schreiber received his B.A. in mathematics from Boston university in 1989 and his Ph.D. in mathematics from the University of California, Berkeley in 1995. he is currently Professor of Ecology and Evolution at the University of California, Davis. Previously, he was an Associate Professor of Mathematics at the College of William and Mary, where he was the 2005 recipient of the Simon Prize for Excellence in the Teaching of Mathematics, and Western Washington University. Professor Schreiber's research on the application of stochastic processes and nonlinear dynamics to ecology, evolution, and epidemiology has been supported by grants from the National Science Foundation and the National Oceanic and Atmospheric Administration. He is the author of over 60 scientific papers in peer-reviewed mathematics and biology journals.

Features

  • Topics are motivated where possible by significant biological applications, several of which appear in no other introductory calculus texts. Examples involve real world data and whenever possible, these examples motivate and develop formal definitions, procedures, and theorems.
  •  Each chapter includes one or more projects which can be used for individual or group work. These projects will be diverse in scope ranging from a study of enzyme kinetics to the heart rates in mammals to disease outbreaks.
  •  Difference equations and their applications are interwoven at the sectional level in the first four chapters.
  •  Introduces two topics, bifurcation diagrams and life history tables, which are often not covered in other calculus books. Bifurcation diagrams for univariate differential equations are a conceptually rich yet accessible topic. They provide an opportunity to illustrate that small parameter changes can have large dynamical effects.
  •  Throughout the text are problems described as Historical Quest. These problems are not just historical notes to help one see mathematics and biology as living and breathing disciplines, but are designed to involve the student in the quest of pursing some great ideas in the history of science.
  •  Throughout the book, concepts are presented visually, numerically, algebraically, and verbally. By presenting these different perspectives, it enhances as well as reinforces the students understanding of and appreciation for the main ideas.

 WileyPLUS is a research-based online environment for effective teaching and learning. WileyPLUS is packed with interactive study tools and resources–including the complete online textbook–to give your students more value for their money. With WileyPLUS, students will succeed in

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What is calculus for life sciences?

Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance.

Do you need calculus for life science?

For example, if you are interested in psychology, you will not only need English and mathematics/calculus (which are required for admission into Life Sciences), but you will also need grade 12 biology or equivalent to be able to enrol in the psychology program of study at the end of your first year.

Is calculus used in biology?

Calculus is important for understanding dynamical systems in biology and, therefore, is often a required course for life science students. However, many life science students do not understand the utility value of mathematics to biology.

What is derivative in basic calculus?

derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.