Midterm examination for a class at MIT covering game theory and its applications to economics. The one-hour-and-twenty-minute open book examination asks open ended theoretical questions. The exam contains questions and solutions.

The applet simulates various vector fields, including spherical, radial, and constant plane. It is a generalized version of an electrostatic field simulation by the same author. The field strength and number of particles simulated are adjustable. Divergence, curl, and potential can be color-coded. Grid lines, potential lines, or streamlines can be displayed. Directions, specific links to the subject and source code are also included.

Created by David Lane of Rice University, this applet simulates experiments using 2 x 2 contingency tables. You specify the population proportions and the sample size and examine the effects on the probability of rejecting the null hypothesis. The author provides instructions and then five different exercises to practice these concepts. Overall, this is a nice interactive resource that allows users a more hands-on approach to statistics.

The 3-D Hydrogen Atom Probability Densitites model simulates the probability density of the first few (n = 1, 2, and 3, and associated l and m values) energy eigenstates for the Hydrogen atom (the Coulomb potential). The main window shows the energy level diagram for the solutions to the Coulomb potential in three dimensions. States may be selected either by using the dropdown menu item or by using the energy level diagram and clicking a dark green level, with specific n, l, and m values) which will turn bright green and change the state shown in the 3d visualization window. The probability is shown with a 3d cloud, with higher probability shown as a darker sphere. The simulation uses either simple 3D or Java 3D (if installed) to render the view the probability densities. If Java 3D is not installed, the simulation defaults to simple 3D using Java. The 3-D Hydrogen Atom Probability Densitites model was created using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_qm_hydrogen3d.jar file will run the program if Java is installed.

Play-Doh model of a geologic map

Provenance: Carol Ormand Ph.D., Carleton College
Reuse: This item is offered under a Creative Commons Attribution-NonCommercial-ShareAlike license http://creativecommons.org/licenses/by-nc-sa/3.0/ You may reuse this item for non-commercial purposes as long as you provide attribution and offer any derivative works under a similar license.
Students analyze a geologic map of an angular unconformity that truncates a pair of dikes, with some topography. When students have deciphered the map and constructed a cross-section, I show them a Play-Doh model of the geology and ask them to compare it to their mental model of the area.

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This simulation illustrates a wide range of 3D vector fields, including spherical, radial, and linear. The fields can be displayed as vectors, particle trajectories, equipotentials, and other options. The number of particles, vectors, or streamlines, and the field strength are adjustable. Directions and source code are also included. This is an extension of a 3D Electric and Magnetic Field viewer from the same author.

This site, created by Michelle Lacey of Yale University, gives an explanation, a definition and an example of ANOVA for regression. Topics include analysis of variance calculations for simple and multiple regression, and F-statistics. This is a great overview of this topic.

This is a computer-based activity in which students retrieve data from websites maintained by the US Geological Survey (USGS) and the National Weather Service (NWS), and then use that data to test different hypotheses regarding streamflow and precipitation. Students import data from web sites into a spreadsheet program where they can construct scatter plots and perform simple statistical tests. The activity has two components, the first focusing on relations between streamflow and drainage basin characteristics (drainage area, slope, precipitation), the second focusing on trends in annual precipitation at two locations in the USA: Burlington, VT, and Boulder, CO. As part of the second component, students conduct a statistical test to determine if the long-term trends in precipitation are significant.

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Spreadsheets Across the Curriculum module/Geology of National Parks course. Students estimate travel times and costs of a driving/camping trip to visit national parks in Colorado.

This web page contains an introductory physics homework assignment relating to the motion of a cyclist riding a 12-speed bicycle, developed as an alternative to traditional textbook homework. Students use observational skills and mathematical modeling, combined with basic physics, to solve problems related to the use of a racing bicycle. The problem integrates concepts of torque, friction, force, and acceleration. This item is part of a larger collection of alternative homework assignments designed for introductory physics students. Each assignment poses a series of questions about a single context. To successfully complete assignments, students must think critically about how the physical situation is represented by mathematics.

This web page contains a homework assignment that asks the student to solve problems based on the launch and flight of a rocket. Developed as an alternative to traditional textbook homework, this item is based on the work of the Activity Based Physics project (ABP). Students must make estimations and build their own mathematical models to determine which concepts of classical mechanics apply to each section of the problem set. Topics covered include kinematics, Newton's second law, conservation of energy, and projectile motion. This item is part of a larger collection of alternative homework assignments designed for introductory physics students. Each assignment poses a series of questions about a single context. To successfully complete assignments, students must think critically about how the physical situation could be represented by mathematics.

This web page contains an introductory physics homework assignment relating to roller coaster design, developed as an alternative to traditional textbook homework. Students use observational skills and mathematical modeling, combined with basic physics, to design a roller coaster with specified characteristics. The student must formulate a design that is both safe and provides sufficient energy for cars to reach the end of the track. Concepts explored in this problem include gravity, potential and kinetic energy, circular motion, drag due to friction, center of mass, and acceleration. This item is part of a larger collection of alternative homework assignments designed for introductory physics students. Each assignment poses a series of questions about a single context. To successfully complete assignments, students must think critically about how the physical situation could be represented by mathematics.

This page contains an alternative homework problem related to tailgating and the related physics. Users will be prompted to make calculations about stopping distance in a vehicle traveling at high speed behind another. The problem is designed to allow students to independently explore inertia in motion and the relationship between mass and inertia. This item is part of a larger collection of alternative problems based on physics education research.

BioEd Online is an ’˘Î—Γeducational resource for educators, students, and parents’˘Î—Ν from the Baylor College of Medicine. This is an excellent place to find educational materials and current information in the field of biology. The ’˘Î—ΓHot Topics’˘Î—Ν section of this site focus on current events and issues in biology that are ’˘Î—Γreceiving national attention.’˘Î—Ν This site, created by Tadzia GrandPr’ŰΊ, PhD, contains a brief discussion of Adult Neurogenesis or the ability for new neurons to develop in the brain. The article includes background information on the field of neuroscience, as well as information about how neurons work. The site includes links to references and further reading. In addition, a related slide set, "Adult Neurogenesis," is available for viewing along with links to several related news articles. Both the slide set and the news articles could be easily used in the classroom along with the other resources provided in this ’˘Î—ΓHot Topic’˘Î—Ν from BioEd Online.

North American ecosystems have fundamentally changed over the late Pleistocene and Holocene; from a system dominated by mammoths, to bison, to domestic livestock. Given the very different body size and herd formation of these 'ecosystem engineers', it is likely that animals influence soil structure, water tables, vegetation and other animals in the ecosystems. What has been the ecological influence of the continued 'downsizing' of the largest animals in the ecosystem?

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This is a learning module that uses data to investigate trends in attitudes regarding the rights of homosexuals in the United States from the early 1990s through 2007.

The Airborne Infection SEIR Model examines the time evolution of four populations in an epidemic: those who are susceptible to infection, those who have been exposed but do not yet exhibit symptoms, those who are infected and contagious, and those who have recovered from the infection. The SUSCEPTIBLE-EXPOSED-INFECTED-REMOVED (SEIR) Model shows that infection can spread throughout a population in just a matter of days. Infections and viruses can be transmitted relatively easily, or can be prevented all together if certain conditions are satisfied. This model examines the spread of infection in indoor environments and the parameters that shape its transmission. The Airborne Infection SEIR Model was developed using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the jar file will run the program if Java is installed. You can modify this simulation if you have EJS installed by right-clicking within the map and selecting "Open Ejs Model" from the pop-up menu item.

This online set of activities help students learn properties of ocean waves, wind-wave relationships and properties of tsunamis.

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This activity introduces students to high precision GPS as it is used in geoscience research. Students build "gumdrop" GPS units and study data from three Alaska GPS stations from the Plate Boundary Observatory network. They learn how Alaska's south central region is "locked and loading" as the Pacific Plate pushes into North America and builds up energy that will be released in the future in other earthquakes such as the 1964 Alaska earthquake.

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In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane.