Principles of tomographic imaging using ionizing and non-ionizing radiation, and ultrasound. Emphasis is placed on fundamental physics and mathematics involved in image formation, including basic interactions, data acquisition and reconstruction. Planar radiographic imaging, multi-dimensional tomography (X-ray CAT, PET, SPECT), ultrasound, and NMR imaging covered. 22.56J aims to give graduate students and advanced undergraduates background in the theory and application of noninvasive imaging methods to biology and medicine, with emphasis on neuroimaging. The course focuses on the modalities most frequently used in scientific research (X-ray CT, PET/SPECT, MRI, and optical imaging), and includes discussion of molecular imaging approaches used in conjunction with these scanning methods. Lectures by the professor will be supplemented by in-class discussions of problems in research, and hands-on demonstrations of imaging systems.

Introduction to the theory and phenomenology of nonlinear dynamics and chaos in dissipative systems. Forced and parametric oscillators. Phase space. Periodic, quasiperiodic, and aperiodic flows. Sensitivity to initial conditions and strange attractors. Lorenz attractor. Period doubling, intermittency, and quasiperiodicity. Scaling and universality. Analysis of experimental data: Fourier transforms, Poincar, sections, fractal dimension, and Lyapunov exponents. Applications drawn from fluid dynamics, physics, geophysics, and chemistry.

This course presents micro-econometric models, including large sample theory for estimation and hypothesis testing, generalized method of moments (GMM), estimation of censored and truncated specifications, quantile regression, structural estimation, nonparametric and semiparametric estimation, treatment effects, panel data, bootstrapping, simulation methods, and Bayesian methods. The methods are illustrated with economic applications

Play with a 1D or 2D system of coupled mass-spring oscillators. Vary the number of masses, set the initial conditions, and watch the system evolve. See the spectrum of normal modes for arbitrary motion. See longitudinal or transverse modes in the 1D system.

Celestial navigation is the art and science of finding one's geographic position by means of astronomical observations, particularly by measuring altitudes of celestial objects sun, moon, planets or stars. This activity starts with a basic, but very important and useful, celestial measurement: measuring the altitude of Polaris (the North Star) or measuring the latitude.

This collection uses primary sources to explore northern draft riots that occurred during the Civil War. Digital Public Library of America Primary Source Sets are designed to help students develop their critical thinking skills and draw diverse material from libraries, archives, and museums across the United States. Each set includes an overview, ten to fifteen primary sources, links to related resources, and a teaching guide. These sets were created and reviewed by the teachers on the DPLA's Education Advisory Committee.

The provision of northern health care entails many unique challenges and circumstances that are rarely represented in mainstream health sciences education. This OpenEd Resource provides accessible content on health and health care from a northern perspective for the growing number of health professionals being educated in northern communities.

Students create and use their own simple compasses, which are each made from a bowl of water, strong magnet, stick pin and Styrofoam peanuts. They learn how compasses work and about cardinal directions. They come to understand that the Earth's magnetic field has both horizontal and vertical components.

In this activity students write original corridos(a type of Mexican folk song) based on the oral histories of braceros. Before writing their own corridos, students learn about the formulas and themes of corridosand analyze a World War II-era corrido. This lesson works best if students have basic background information on the bracero program.

Students study the interaction between environment and culture as they learn about three vastly different indigenous groups in a game-like activity that uses vintage photographs, traditional stories, photos of artifacts, and recipes.

While Paul Revere's ride is the most famous event of its kind in American history, other Americans made similar rides during the Revolutionary period.  After learning about some less well known but no less colorful rides that occurred in other locations, students gather evidence to support an argument about why at least one of these "other riders" does or does not deserve to be better known.

Students learn how engineers navigate satellites in orbit around the Earth and on their way to other planets in the solar system. In accompanying activities, they explore how ground-based tracking and onboard measurements are performed. Also provided is an overview of orbits and spacecraft trajectories from Earth to other planets, and how spacecraft are tracked from the ground using the Deep Space Network (DSN). DSN measurements are the primary means for navigating unmanned vehicles in space. Onboard spacecraft instruments might include optical sensors and an inertial measurement unit (IMU).

Students are introduced to acids and bases, and the environmental problem of acid rain. They explore ways to use indicators to distinguish between acids and bases. Students also conduct a simple experiment to model and discuss the harmful effects of acid rain on our living and non-living environment, as well as how engineers address acid rain. In an associated literacy activity, students learn how persuasive techniques are used to develop an argument, and create an environmental case study.

Students expand upon their understanding of simple machines with an introduction to compound machines. A compound machine a combination of two or more simple machines can affect work more than its individual components. Engineers who design compound machines aim to benefit society by lessening the amount of work that people exert for even common household tasks. This lesson encourages students to critically think about machine inventions and their role in our lives.

For more than 400 years, Shakespeare's 37 surviving plays, 154 sonnets, and other poems have been read, performed, taught, reinterpreted, and enjoyed the world over. This Teacher's Guide includes ideas for bringing the Bard and pop culture together, along with how performers around the world have infused their respective local histories and cultures into these works.

Start a chain reaction, or introduce non-radioactive isotopes to prevent one. Control energy production in a nuclear reactor! (Previously part of the Nuclear Physics simulation - now there are separate Alpha Decay and Nuclear Fission sims.)

Start a chain reaction, or introduce non-radioactive isotopes to prevent one. Control energy production in a nuclear reactor! (Previously part of the Nuclear Physics simulation - now there are separate Alpha Decay and Nuclear Fission sims.)