The mean value theorem for differentials is basically a consequence of the fundamental theorem of calculus for Lebesgue integration.

A problem, motivated by the conversion of Fahrenheit to Celsius, is related to classical Diophantine equations. (MK)

Develops the idea of fractals through a laboratory activity that calculates the fractal dimension of ordinary white bread. Extends use of the fractal dimension to compare other complex structures as other breads and sponges. (MDH)

Unified Technical Concepts (UTC) is a modular system for teaching applied physics in two-year postsecondary technician programs. This UTC classroom textbook, consisting of 10 chapters, deals with mathematical concepts as they apply to the study of physics. Addressed in the individual chapters of the text are the following topics: angles and…

Presents activities to teach the formula for the area of a rectangle that require students to determine the cost of refurbishing their school's tennis courts. Students collect their own data, organize information, and make decisions individually and as a group to solve the problem. Worksheets are provided. (MDH)

Problems ask students to calculate the pressure against a billboard in high winds and the velocity of water flowing from a reservoir through a cylindrical pipe. Problem solutions incorporate computer tools such as spreadsheets. (MDH)