|Cowan, Christina E.||1|
|Flannery, Carol A.||1|
|Frauenthal, James C.||1|
|Goldston, J. W.||1|
|Hatheway, W. H.||1|
|Pfeiffer, Paul E.||1|
|Pine, Eli S.||1|
|Uebelacker, James W.||1|
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Solving Differential Equations Analytically. Elementary Differential Equations. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Unit 335.
Goldston, J. W. – 1979
This unit introduces analytic solutions of ordinary differential equations. The objective is to enable the student to decide whether a given function solves a given differential equation. Examples of problems from biology and chemistry are covered. Problem sets, quizzes, and a model exam are included, and answers to all items are provided. The…
Descriptors: Answer Keys, Biology, Chemistry, College Mathematics
A (Not Really) Complex Method for Finding Solutions to Linear Differential Equations. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Unit 497.
Uebelacker, James W. – 1980
This module considers ordinary linear differential equations with constant coefficients. The "complex method" used to find solutions is discussed, with numerous examples. The unit includes both problem sets and an exam, with answers provided for both. (MP)
Descriptors: Answer Keys, College Mathematics, Higher Education, Instructional Materials
Ramankutty, P. – Mathematics Magazine, 1991
Clarified is the assertion that the so-called complementary function is indeed the general solution of the homogeneous equation associated with a linear nth-order differential equation. Methods to obtain the particular integral, once the complementary function is determined, are illustrated for both cases of constant and of variable coefficients.…
Descriptors: Calculus, College Mathematics, Differential Equations, Functions (Mathematics)
Pfeiffer, Paul E. – 1979
This material assumes the user has the background provided by a good undergraduate course in applied probability. It is felt that introductory courses in calculus, linear algebra, and perhaps some differential equations should provide the requisite experience and proficiency with mathematical concepts, notation, and argument. The document is…
Descriptors: College Mathematics, Higher Education, Instructional Materials, Learning Modules
Pine, Eli S. – 1983
The author states that this book was written for anyone who wants to know what calculus is all about, and that those with knowledge of some algebra and geometry should be able to understand it. That calculus should be called "slope finding" is discussed, and this term is used extensively. The book is divided into three chapters: (1) the…
Descriptors: Calculus, College Mathematics, Computer Oriented Programs, Computer Programs
Tomography: Three Dimensional Image Construction. Applications of Analysis to Medical Radiology. [and] Genetic Counseling. Applications of Probability to Medicine. [and] The Design of Honeycombs. Applications of Differential Equations to Biology. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Units 318, 456, 502.
Solomon, Frederick; And Others. – 1980
This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…
Descriptors: Answer Keys, Biology, Calculus, College Mathematics
Pressure and Buoyancy in Aquatic Ecosystems. Physical Processes in Terrestrial and Aquatic Ecosystems, Transport Processes.
Cowan, Christina E. – 1979
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 explores some of the characteristics of aquatic organisms which can be…
Descriptors: Biology, Biophysics, College Science, Computer Assisted Instruction
Frauenthal, James C. – 1980
The focus is on the formulation and solution of mathematical models with the idea of a population employed mainly as a pedogogical tool. If the biological setting is stripped away, the material can be interpreted as topics or the qualitative behavior of differential and difference equations. The first group of models investigate the dynamics of a…
Descriptors: Biological Sciences, College Mathematics, College Science, Ecology
Heat Balance of a Sheep in the Sun. Physical Processes in Terrestrial and Aquatic Ecosystems, Transport Processes.
Hatheway, W. H. – 1979
These materials were 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. Specifically, this module develops a method for calculating the exchange of heat between an…
Descriptors: Biology, College Science, Computer Assisted Instruction, Computer Programs
Flannery, Carol A. – 1982
This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…
Descriptors: Calculators, Equations (Mathematics), Geometric Concepts, Mathematical Applications