Published by Pearson (January 12, 2018) © 2018
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.
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NEW! Co-author Marcus Roper (UCLA) offers a fresh perspective and numerous enhancements to the 4th Edition, including the addition of an unprecedented amount of real-world data and applications.
Mathematical content is geared to the needs of biology students – For example, there is less emphasis on integration techniques and more coverage of differential equations and systems of differential equations.
Strong emphasis on modeling biological situations – Students are instructed in the processes of modeling real-world situations and given many opportunities to practice these techniques in exercises.
The presentation of topics bridges the gap between what students already know and what they are attempting to learn while maintaining the text’s rigor.
New concepts are typically introduced through a three-part process:
(1) Biological examples introduce topics, followed by a(2) thorough discussion outside of the life science context to enable students to become familiar with both the meaning and the mechanics of the mathematics.
(3) Finally, in-depth biological examples help students see how to use the material in a life science context.
A variety of exercises follow every section:
Each exercise set begins with skill problems. These are followed by increasingly difficult, more conceptual problems. Finally, word problems tie the concepts into biology.
Word problems draw from standard biology texts or original research to help students apply the mathematics to a life science context.
End-of-section exercises are organized by subsection, enabling students to focus on specific topics as necessary, and helping instructors create the most appropriate assignments for the class.
NEW! Full-color design appeals to visual learners and motivates students as they put in the hard work to learn the mathematics. The figures in the text have been re-rendered using the latest software and re-conceived to take advantage of a full color pallette in order to maximize their instructional potential.
REVISED! Unprecedented number of real, current applications – Most of the applications are adapted from published studies and other current sources. New applications cover topics such as population genetics, pharmacology, and the evolution of microbial cooperation.
NEW! Clear student instructions for using technology address using spreadsheets to solve equations, visualize data, and model biological processes. This material is clearly labeled so that instructors who prefer not to use it can easily omit it, or assign technology sections as optional readings to their students.
NEW! Prerequisite Skills Quiz added to the beginning of the text to help students gauge whether review of precalculus topics is needed. Answers to the quiz are provided in the back of the book along with tips on what to review in Chapter 1 if refreshers are needed.
NEW! “Bio Info” Notes provide optional background information to support the narrative and exercises.
NEW! “Help Text” within Examples (given in blue type) helps students understand the solution and emphasizes that each step in a mathematical argument is rigorously justified. All examples are completely worked out and they increase in difficulty in each subsection.
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.
Exercises with immediate feedback – Homework and practice exercises for this text regenerate algorithmically to give students unlimited opportunity for practice and mastery. MyLab Math provides helpful feedback when students enter incorrect answers and includes the optional learning aids Help Me Solve This, View an Example and/or the eText.
Setup and Solve Exercises require students to show how they set up a problem as well as the solution, better mirroring what is required on tests.
Additional Conceptual Questions focus on deeper, theoretical understanding of the key concepts in calculus. These questions were written by faculty at Cornell University under an NSF grant and are also assignable through Learning Catalytics™.
A full suite of Interactive Figures has been added to support teaching and learning. The figures illustrate key concepts and allow manipulation. They have been designed to be used in lecture as well as by students independently. The figures are editable using the freely available GeoGebra software. The figures were created by Marc Renault (Shippensburg University), Steve Phelps (University of Cincinnati), Kevin Hopkins (Southwest Baptist University), and Tim Brzezinski (Berlin High School, CT).
Learning Catalytics™ is a student response tool that uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking during lecture. Learning Catalytics fosters student engagement and peer-to-peer learning with real-time analytics. Learning Catalytics is available to all MyLab Math users.
The complete eText is available to students through students’ MyLab Math courses for the lifetime of the edition, giving students unlimited access to the eText within any course using that edition of the textbook.
Manuals and projects for Mathematica®, Maple™, and TI Graphing Calculators utilize the most current versions of Maple and Mathematica, as well as the TI-84 Plus and TI-89. Each provides detailed guidance for integrating the software package or graphing calculator throughout the course, including syntax and commands.
Comprehensive gradebook with enhanced reporting functionality includes:
Reporting Dashboard that provides insight to view, analyze, and report learning outcomes. Student performance data is presented at the class, section, and program levels in an accessible, visual manner so you’ll have the information you need to keep your students on track.
Item Analysis that tracks class-wide understanding of particular exercises so you can refine your class lectures or adjust the course/department syllabus. Just-in-time teaching has never been easier!
Stronger emphasis on modeling biological situations – Students are instructed in the processes of modeling real-world situations and given many opportunities to practice these techniques in exercises.
Greater emphasis on the presentation of certain topics to bridge the gap between what students already know and what they are attempting to learn while maintaining the text’s rigor.
Full-color design appeals to visual learners and motivates students as they put in the hard work to learn the mathematics. The figures in the text have been re-rendered using the latest software and re-conceived to take advantage of a full color pallette in order to maximize their instructional potential.
Unprecedented number of real, current applications – Most of the applications are adapted from published studies and other current sources. New applications cover topics such as population genetics, pharmacology, and the evolution of microbial cooperation.
Clear student instructions for using technology address using spreadsheets to solve equations, visualize data, and model biological processes. This material is clearly labeled so that instructors who prefer not to use it can easily omit it, or assign technology sections as optional readings to their students.
Prerequisite Skills Quiz added to the beginning of the text to help students gauge whether review of precalculus topics is needed. Answers to the quiz are provided in the back of the book along with tips on what to review in Chapter 1 if refreshers are needed.
“Bio Info” Notes provide optional background information to support the narrative and exercises.
“Help Text” within Examples (given in blue type) helps students understand the solution and emphasizes that each step in a mathematical argument is rigorously justified. All examples are completely worked out and they increase in difficulty in each subsection.
New topic coverage based on reviewer feedback from reviewers, including:
tools for fitting models to real data
multicompartment models in pharmacology
stochastic processes in population genetics and diffusion
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.
Claudia Neuhauser, PhD, is Associate Vice President for Research and Director of Research Computing in the Office of the Vice President for Research at University of Minnesota. In her role as Director of Research Computing she oversees the University of Minnesota Informatics Institute (UMII), the Minnesota Supercomputing Institute (MSI), and U-Spatial. UMII fosters and accelerates data-intensive research across all disciplines in the University and develops partnership with industry. Neuhauser’s research is at the interface of mathematics and biology, and focuses on the analysis of ecological and evolutionary models and the development of statistical methods in biomedical applications. She received her Diplom in mathematics from the Universität Heidelberg (Germany) in 1988, and a Ph.D. in mathematics from Cornell University in 1990. She is a fellow of the American Association for the Advancement of Science (AAAS) and a fellow of the American Mathematical Society (AMS).
Marcus Roper, PhD, is a Professor of Mathematics at UCLA. He specializes in developing mathematical models inspired by physics and biology. 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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