This site discusses the problems that a low density universe causes for the inflation theory. It also discusses the open vs closed universe theories and what is meant by critical density. Contains models and graphs to help explinations.
This animation shows the quantum analogy of a classical bouncing ball moving in a gravitational field, without dissipation. The video shows the wave packet motion next to the ball. A graph of the expectation value of the quantum ball versus time is provided that illustrates the dispersion and later reforming of the quantum wave packet.
Abstracts of studies on how much mathematics is used in various occupations: Mathematics in Automobile Production; Proportional Reasoning by Nurses; Modeling the Mathematics of Banking; Mathematical Models as Seen by Biologists; How do Scientists Interpret Graphs? From the MAA’s Teaching and Learning Research Sampler.
More than 40 “informal notes” by Kevin Brown on probability and statistics: evaluating probabilities of Boolean events, area under the bell curve, N items distributed in M bins, dice rolling a given sum, a better lottery, meetings and birthdays, on random chords, and many more.
Western Carolina University’s College of Education and Allied Professionals has compiled a coherent and thorough examination of spreadsheets. From spreadsheet history to an introduction to spreadsheet development for schoolchildren, this comprehensive page provides much information about creating, adding, and developing spreadsheets. Especially important are links to spreadsheet tutorials, most of which are in video format and all of which involve step-by-step instructions on how to create basic or extremely complex spreadsheets.
This lesson is designed to give students an enhanced understanding of the water cycle and rain as a resource, increase their measurement and data collection skills, and develop graphing and data interpretation skills. It expects that students will demonstrate the ability to measure and record rates of rainfall, evaporation, and infiltration and to graph and interpret data. The lesson provides detailed instructions as well as background information, lists of material, charts, graphs, internet access, ideas for assessment and enrichment and a list of references.
Students graph the relationship between air pressure and wind speed in 2005’s Hurricane Katrina and for the entire 2005 hurricane season. From their analyses, they come up with an estimate of the minimum air pressure that is likely to result in hurricane-force winds of 65 knots or higher.
This web page provides a basic introduction to differentials and integrals, written in simple language and accompanied by easily-understood examples. It covers topics such as the chain rule, log function, exponentials, polynomials, and trigonometric functions. Animations, still images, graphs, and diagrams are used to illustrate important concepts. This tutorial is part of the PhysClips collection of web-based resources on introductory mechanics, electricity, and magnetism.