Calculus - Differentiation. Physical Processes in Terrestrial and Aquatic Ecosystems, Applied Mathematics

Abstract

This module is part of a series designed to be used by life science students for instruction in the application of physical theory to ecosystem operation. Most modules contain computer programs which are built around a particular application of a physical process. This module is used to introduce the biology student to differential calculus, a branch of mathematics which is being used more often in recent ecological and physiological models. Since biological systems are dynamic, their mathematical models must describe rates of change of relevant variables, a process which requires calculus. The module introduces modeling in biology by reviewing differential calculus and using only examples from life sciences. A problem set reviews information in the text proper and presents additional information not included in the text. An associated computer program, DIFF, uses graphics to check the user's own calculations and to demonstrate the validity of general solutions. (Author/CS)