ERIC Number: ED218122
Record Type: Non-Journal
Publication Date: 1980
Reference Count: N/A
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.
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 the Mankel Transform. Exercises and problem solutions are included. The second unit looks at applications of probability to medicine. Output skills are aimed to provide an authentic application of elementary probability, and to introduce binomial probability through a real-life application. The next module examines applications of differential equations to biology. Stated goals are to aid the user in understanding: 1) the geometric structure of a honeycomb cell; and 2) how minimization techniques from calculus apply to minimum surface area problems for a bee's cell. All units include exercises, with answers provided. The second module contains sample exams, with answers posted at the conclusion of the unit. (MP)
Publication Type: Guides - Classroom - Learner
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Education Development Center, Inc., Newton, MA.