With an emphasis on model building, this text explores the fundamental concepts of the derivative, integral, and multiple theorems in a context of biological processes. Students will find this hands-on, straight forward approach to calculus engaging and easy to learn. Each math topic is motivated by some matching idea in introductory biology. There is a strong emphasis on modeling real data throughout every chapter.
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Designed specifically to help biology and life sciences students become mathematically literate, this text involves students in modeling and uses of calculus in the context of biological processes. The fundermental concepts of the derivative, integral, and the fundermental theorems of calculus are carefully introduced and placed in the context of biological processes. First-order difference equations are introduced before the derivative and are used to model bacterial growth, light extinction below the surface of the ocean, penicillin clearance, pollution in lakes, and other bacterial and related problems. Also included are many sets of laboratory data, intended to offer students the opportunity to test models for describing the kinetics of biological processes. Laboratory experiments are developed and described with sample data sets, and can be performed by instructors.
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