Undergraduate Mathematics For The Life Sciences

Author : Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
Publisher : Princeton University Press
Page : 630 pages
File Size : 50,9 Mb
Release : 2014-08-17
Category : Mathematics
ISBN : 9780691150727

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Mathematics for the Life Sciences by Erin N. Bodine,Suzanne Lenhart,Louis J. Gross Pdf

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 : Mathematical Association of America. Committee on the Undergraduate Program in Mathematics. Panel on Mathematics for the Life Sciences
Publisher : Unknown
Page : 44 pages
File Size : 41,8 Mb
Release : 1970
Category : Life sciences
ISBN : UOM:39015035968489

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Recommendations for the Undergraduate Mathematics Program for Students in the Life Sciences by Mathematical Association of America. Committee on the Undergraduate Program in Mathematics. Panel on Mathematics for the Life Sciences Pdf

Author : Glenn Ledder,Jenna P. Carpenter,Timothy D. Comar
Publisher : MAA
Page : 228 pages
File Size : 48,9 Mb
Release : 2013
Category : Education
ISBN : 9780883851913

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Undergraduate Mathematics for the Life Sciences by Glenn Ledder,Jenna P. Carpenter,Timothy D. Comar Pdf

There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.

Author : E. Batschelet
Publisher : Springer Science & Business Media
Page : 657 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642962707

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Introduction to Mathematics for Life Scientists by E. Batschelet Pdf

A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact ofthe fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.

Author : Glenn Ledder
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 45,5 Mb
Release : 2013-08-29
Category : Mathematics
ISBN : 9781461472766

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Mathematics for the Life Sciences by Glenn Ledder Pdf

​ ​​ Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a one-chapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis.

Author : Jacques Istas
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 44,6 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783540278771

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Mathematical Modeling for the Life Sciences by Jacques Istas Pdf

Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading

Author : E. Batschelet
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642960802

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Introduction to Mathematics for Life Scientists by E. Batschelet Pdf

A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact of the fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.

Author : Frank C. Hoppensteadt,Charles S. Peskin
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 51,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475741315

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Mathematics in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles S. Peskin Pdf

The aim of this book is to introduce the subject of mathematical modeling in the life sciences. It is intended for students of mathematics, the physical sciences, and engineering who are curious about biology. Additionally, it will be useful to students of the life sciences and medicine who are unsatisfied with mere description and who seek an understanding of biological mechanism and dynamics through the use of mathematics. The book will be particularly useful to premedical students, because it will introduce them not only to a collection of mathematical methods but also to an assortment of phenomena involving genetics, epidemics, and the physiology of the heart, lung, and kidney. Because of its introductory character, mathematical prerequisites are kept to a minimum; they involve only what is usually covered in the first semester of a calculus sequence. The authors have drawn on their extensive experience as modelers to select examples which are simple enough to be understood at this elementary level and yet realistic enough to capture the essence of significant biological phenomena drawn from the areas of population dynamics and physiology. Because the models presented are realistic, the book can serve not only as an introduction to mathematical methods but also as a mathematical introduction to the biological material itself. For the student, who enjoys mathematics, such an introduction will be far more stimulating and satisfying than the purely descriptive approach that is traditional in the biological sciences.

Author : Mike Aitken,Bill Broadhurst,Stephen Hladky
Publisher : Garland Science
Page : 473 pages
File Size : 51,8 Mb
Release : 2009-09-30
Category : Science
ISBN : 9781136843938

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Mathematics for Biological Scientists by Mike Aitken,Bill Broadhurst,Stephen Hladky Pdf

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.

Author : Michael Olinick
Publisher : John Wiley & Sons
Page : 594 pages
File Size : 43,5 Mb
Release : 2014-05-05
Category : Mathematics
ISBN : 9781118642696

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Mathematical Modeling in the Social and Life Sciences by Michael Olinick Pdf

Olinick’s Mathematical Models in the Social and Life Sciences concentrates not on physical models, but on models found in biology, social science, and daily life. This text concentrates on a relatively small number of models to allow students to study them critically and in depth, and balances practice and theory in its approach. Each chapter concluded with suggested projects that encourage students to build their own models, and space is set aside for historical and biographical notes about the development of mathematical models.

Author : Alexandra V. Antoniouk,Roderick V. N. Melnik
Publisher : Walter de Gruyter
Page : 328 pages
File Size : 47,7 Mb
Release : 2012-12-19
Category : Mathematics
ISBN : 9783110288537

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Mathematics and Life Sciences by Alexandra V. Antoniouk,Roderick V. N. Melnik Pdf

The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. The book provides also with a range of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. Many areas within life sciences are becoming increasingly quantitative and the progress in those areas will be more and more dependent on the successful development of advanced mathematical, statistical and modelling methodologies and techniques. The state-of-the-art developments in such methodologies and techniques are scattered throughout research journals and hardly accessible to the practitioners in those areas. This book identifies a number of frontier areas where such methodologies and techniques have recently been developed and are to be published here for the first time, bringing substantial potential benefit to a range of applications in life sciences. In addition, the book contains several state-of-the-art surveys at the interface of mathematics and life sciences that would benefit a larger interdisciplinary community. It is aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics.

Author : Aulay Mackenzie
Publisher : Garland Science
Page : 188 pages
File Size : 47,9 Mb
Release : 2005
Category : Juvenile Nonfiction
ISBN : 1859962920

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Mathematics and Statistics for Life Scientists by Aulay Mackenzie Pdf

This series focuses on core information and is designed to help students get to grips with a subject quickly and easily. Each title is written in an easy-to-follow manner by respected academics and is well-illustrated with clear diagrams.

Author : Raymond N. Greenwell,Nathan P. Ritchey,Margaret L. Lial
Publisher : Pearson
Page : 0 pages
File Size : 47,9 Mb
Release : 2015
Category : Calculus
ISBN : 0321964039

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Calculus for the Life Sciences by Raymond N. Greenwell,Nathan P. Ritchey,Margaret L. Lial Pdf

For freshman/sophomore, 1--2 semester or 2--3 quarter courses covering calculus for students in life sciences. Calculus for the Life Sciences features interesting, relevant applications that motivate students and highlight the utility of mathematics for the life sciences. This edition also features new ways to engage students with the material, such as Your Turn exercises. The MyMathLab(R) course for the text provides online homework supported by learning resources such as video tutorials, algebra help, and step-by-step examples. Teaching and Learning Experience This program will provide a better teaching and learning experience. Here's how: Personalized help with MyMathLab: MyMathLab delivers proven results by personalizing the learning process. Motivation: Students constantly see the math applied to the life sciences. Built for student success: Proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 0321964381 / 9780321964380 Calculus for the Life Sciences Plus MyMathLab with Pearson etext -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321964039 / 9780321964038 Calculus for the Life Sciences

Author : Alan Garfinkel,Jane Shevtsov,Yina Guo
Publisher : Springer
Page : 445 pages
File Size : 47,7 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9783319597317

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Modeling Life by Alan Garfinkel,Jane Shevtsov,Yina Guo Pdf

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 : Aulay MacKenzie
Publisher : Taylor & Francis
Page : 176 pages
File Size : 46,9 Mb
Release : 2004-07-01
Category : Science
ISBN : 9781136961243

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BIOS Instant Notes in Mathematics and Statistics for Life Scientists by Aulay MacKenzie Pdf

Instant Notes in Mathematics and Statistics for Life Scientists is aimed at undergraduate life science students who need to improve or brush-up their mathematical and statistical skills to a level which will make the quantitative components of most undergraduate biological courses accessible.