## Calculus For Biology and Medicine

Enabling JavaScript in your browser will allow you to experience all the features of our site. Learn how to enable JavaScript on your browser. When the first edition of this book appeared three years ago, I immediately started thinking about the second edition. Topics absent from the first edition were needed in a calculus book for life science majors: difference equations, extrema for functions of two variables, optimization under constraints, and expanded probability theory.

I also wanted to add more biological examples, in particular in the first half of the book, and add more problems the number of problems in many sections doubled or tripled compared with the first edition. Despite these changes, the goals of the first edition remain: To model and analyze phenomena in the life sciences using calculus. This text is written exclusively for students in the biological and medical sciences.

It makes an effort to show them from the beginning how calculus can help to understand phenomena in nature. This text differs from traditional calculus texts. First, it is written in a life science context; concepts are motivated with biological examples to emphasize that calculus is an important tool in the life sciences. The second edition has many more biological examples than the first edition, particularly in the first half of the book.

Second, difference equations are now extensively treated in the book.

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They are introduced in Chapter 2, where they are accessible to calculus students without a knowledge of calculus and provide an easier entrance to population models than differential equations. They are picked up again in Chapters 5 and 10, where they receive a more formaltreatment using calculus. Third, differential equations, one of the most important modeling tools in the life sciences, are introduced early, immediately after the formal definition of derivatives in Chapter 4.

## Calculus For Biology and Medicine: Pearson New International Edition

Two chapters deal exclusively with differential equations and systems of differential equations; both chapters contain numerous up-to-date applications. Fourth, biological applications of differentiation and integration are integrated throughout the text. Fifth, multivariable calculus is taught in the first year, recognizing that most students in the life sciences will not take the second year of calculus and that multivariable calculus is needed to analyze systems of difference and differential equations, which students encounter later in their science courses.

The chapter on multivariable calculus now has a treatment of extrema and Lagrange multipliers. This text does not teach modeling; the objective is to teach calculus. Modeling is an art that should' be taught in a separate course. However, throughout the text, students encounter mathematical models for biological phenomena.

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This will facilitate the transition to actual modeling and allows them to see how calculus provides useful tools for the life sciences. Each topic is motivated with biological examples. This is followed by a thorough discussion outside of the life science context to enable students to become familiar with both the meaning and the mechanics of the topic.

Finally, biological examples are given to teach students how to use the material in a life science context. Examples in the text are completely worked out; steps in calculation are frequently explained in words. Calculus cannot be learned by watching someone do it. This is recognized by providing the students with both drill and word problems.

Word problems are an integral part of teaching calculus in a life science context. The word problems are up to date; they are adapted from either standard biology texts or original research. Many new problems have been added to the second edition. Since this text is written for cege freshmen, the examples were chosen so that no formal training in biology is needed. The book takes advantage of graphing calculators. This allows students to develop a much better visual understanding of the concepts in calculus.

Beyond this, no special software is required. Chapter 1. Basic tools from algebra and trigonometry are summarized in Section 1. Section 1. Their graphical properties and their biological relevance are emphasized. In addition, a section on translating verbal descriptions of biological phenomena into graphs will provide students with much needed skills when they read biological literature.

Chapter 2. This chapter was added to the second edition. It covers difference equations or discrete time models and sequences. This provides a more natural way to explain the need for limits. Classical models of population growth round up this chapter; this gives students a first glimpse at the excitement of using models to understand biological phenomena. Chapter 3. Limits and continuity are key concepts for understanding the conceptual parts of calculus. Visual intuition is emphasized before the theory is discussed.

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The formal definition of limits is now at the end of the chapter and can be omitted. Chapter 4. The geometric definition of a derivative as the slope of a tangent line is given before the formal treatment. After the formal definition of the derivative, differential equations are introduced as models for biological phenomena.

Differentiation rules are discussed. These sections give students time to acquaint themselves with the basic rules of differentiation before applications are discussed. Related rates and error propagation, in addition to differential equations, are the main applications. Chapter 5. This chapter presents biological and more traditional applications of differentiation.

## MAT 17A (Honors): Calculus for Biology and Medicine

Many of the applications are consequences of the mean value theorem. Many of the word problems are adapted from either biology textbooks or original research articles; this puts the traditional applications such as extrema, monotonicity, and concavity in a biological context. A section on analyzing difference equations is added. Chapter 6. Integration is motivated geometrically. The fundamental theorem of calculus and its consequences are discussed in depth.

Both biological and traditional applications of integration are provided before integration techniques are covered.

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Chapter 7. 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. Instructors, contact your Pearson representative for more information. Read more Read less. Amazon Global Store US International products have separate terms, are sold from abroad and may differ from local products, including fit, age ratings, and language of product, labeling or instructions.

Manufacturer warranty may not apply Learn more about Amazon Global Store. Product details Hardcover: pages Publisher: Pearson; 4th ed. He specializes in developing mathematical models inspired by physics and biology.

Calculus for the Life Sciences

His particular research interests include biological transport networks, such as fungal mycelia and the microvascular system. Although many of the projects he works on are experimentally inspired, his goal is to develop new image analysis methods and to gain a better understanding of the world around us.

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• No customer reviews. Share your thoughts with other customers. Write a customer review. Most helpful customer reviews on Amazon. February 23, - Published on Amazon. September 12, - Published on Amazon. It would be better to learn these concepts from a normal calculus book and then applied the equations to real world situations. This book is terrible and wordy.