Applications Of Calculus To Biology And Medicine: Case Studies From Lake Victoria PDF Download
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Author: Nathan Ryan
Publisher: World Scientific Publishing Company
ISBN: 9813222794
Category : Science
Languages : en
Pages : 272
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Book Description
Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do such students see authentic applications of its techniques and concepts. Applications of Calculus to Biology and Medicine: Case Studies from Lake Victoria is designed to address this issue: it prepares students to engage with the research literature in the mathematical modeling of biological systems, assuming they have had only one semester of calculus. The text includes projects, problems and exercises: the projects ask the students to engage with the research literature, problems ask the students to extend their understanding of the materials and exercises ask the students to check their understanding as they read the text. Students who successfully work their way through the text will be able to engage in a meaningful way with the research literature to the point that they would be able to make genuine contributions to the literature.
Author: Nathan Ryan
Publisher: World Scientific Publishing Company
ISBN: 9813222794
Category : Science
Languages : en
Pages : 272
Get Book Here
Book Description
Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do such students see authentic applications of its techniques and concepts. Applications of Calculus to Biology and Medicine: Case Studies from Lake Victoria is designed to address this issue: it prepares students to engage with the research literature in the mathematical modeling of biological systems, assuming they have had only one semester of calculus. The text includes projects, problems and exercises: the projects ask the students to engage with the research literature, problems ask the students to extend their understanding of the materials and exercises ask the students to check their understanding as they read the text. Students who successfully work their way through the text will be able to engage in a meaningful way with the research literature to the point that they would be able to make genuine contributions to the literature.
Author: Alan Garfinkel
Publisher: Springer
ISBN: 3319597310
Category : Mathematics
Languages : en
Pages : 456
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Book Description
This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?
Author: Elizabeth Spencer Allman
Publisher: Cambridge University Press
ISBN: 9780521525862
Category : Mathematics
Languages : en
Pages : 388
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Book Description
This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.
Author: Erin N. Bodine
Publisher: Princeton University Press
ISBN: 0691150729
Category : Mathematics
Languages : en
Pages : 630
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Book Description
An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available
Author: Edmond C. Tomastik
Publisher: Cengage Learning
ISBN: 9780534464967
Category : Mathematics
Languages : en
Pages : 744
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Book Description
CALCULUS: APPLICATIONS AND TECHNOLOGY is a modern text that is guided by four basic principles: The Rule of Four, technology, the Way of Archimedes, and an exploratory teaching method. Where appropriate, each topic is presented graphically, numerically, algebraically, and verbally, helping students gain a richer, deeper understanding of the material. A pronounced emphasis in the text on technology, whether graphing calculators or computers, permits instructors to spend more time teaching concepts. Additionally, applications play a central role in the text and are woven into the development of the material. More than 500 referenced exercises and hundreds of data sets contained in the text make this text useful and practical for students. Most importantly, this text lets students investigate and explore calculus on their own, and discover concepts for themselves.
Author: Gretchen Krueger
Publisher: JHU Press
ISBN: 1421429187
Category : Medical
Languages : en
Pages : 229
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Book Description
Gretchen Krueger's poignant narrative explores how doctors, families, and the public interpreted the experience of childhood cancer from the 1930s through the 1970s. Pairing the transformation of childhood cancer from killer to curable disease with the personal experiences of young patients and their families, Krueger illuminates the twin realities of hope and suffering. In this social history, each decade follows a family whose experience touches on key themes: possible causes, means and timing of detection, the search for curative treatment, the merit of alternative treatments, the decisions to pursue or halt therapy, the side effects of treatment, death and dying—and cure. Recounting the complex and sometimes contentious interactions among the families of children with cancer, medical researchers, physicians, advocacy organizations, the media, and policy makers, Krueger reveals that personal odyssey and clinical challenge are the simultaneous realities of childhood cancer. This engaging study will be of interest to historians, medical practitioners and researchers, and people whose lives have been altered by cancer.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309085357
Category : Education
Languages : en
Pages : 208
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Book Description
Biological sciences have been revolutionized, not only in the way research is conductedâ€"with the introduction of techniques such as recombinant DNA and digital technologyâ€"but also in how research findings are communicated among professionals and to the public. Yet, the undergraduate programs that train biology researchers remain much the same as they were before these fundamental changes came on the scene. This new volume provides a blueprint for bringing undergraduate biology education up to the speed of today's research fast track. It includes recommendations for teaching the next generation of life science investigators, through: Building a strong interdisciplinary curriculum that includes physical science, information technology, and mathematics. Eliminating the administrative and financial barriers to cross-departmental collaboration. Evaluating the impact of medical college admissions testing on undergraduate biology education. Creating early opportunities for independent research. Designing meaningful laboratory experiences into the curriculum. The committee presents a dozen brief case studies of exemplary programs at leading institutions and lists many resources for biology educators. This volume will be important to biology faculty, administrators, practitioners, professional societies, research and education funders, and the biotechnology industry.
Author: Rene Thom
Publisher: CRC Press
ISBN: 042996157X
Category : Mathematics
Languages : en
Pages : 401
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Book Description
First Published in 2018. It is now some fifteen years since Structural Stability and Morphogenesis was first published in the French edition. The purely mathematical theory of singularities of smooth maps has developed tremendously in that time, however, the main interest of this book lies not in its mathematics, but in the methodological perspective opened up by Catastrophe Theory models.
Author:
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 836
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Book Description
Author: Mike Aitken
Publisher: Garland Science
ISBN: 1136843930
Category : Science
Languages : en
Pages : 473
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Book Description
Mathematics for Biological Scientists is a new undergraduate textbook which covers the mathematics necessary for biology students to understand, interpret and discuss biological questions. The book's twelve chapters are organized into four themes. The first theme covers the basic concepts of mathematics in biology, discussing the mathematics used in biological quantities, processes and structures. The second theme, calculus, extends the language of mathematics to describe change. The third theme is probability and statistics, where the uncertainty and variation encountered in real biological data is described. The fourth theme is explored briefly in the final chapter of the book, which is to show how the 'tools' developed in the first few chapters are used within biology to develop models of biological processes. Mathematics for Biological Scientists fully integrates mathematics and biology with the use of colour illustrations and photographs to provide an engaging and informative approach to the subject of mathematics and statistics within biological science.
