This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.

Students can use this interactive Flash applet to practice subitizing and counting groups of objects, to understand the importance of 5 in our base-10 number system, and to learn basic addition facts. In the four included games students construct groups of 5 objects, add groups of objects within 10, and identify and record numbers within 10. Auditory prompts support students with limited reading ability.

Students discover fluid dynamics related to buoyancy through experimentation and optional photography. Using one set of fluids, they make light fluids rise through denser fluids. Using another set, they make dense fluids sink through a lighter fluid. In both cases, they see and record beautiful fluid motion. Activities are also suitable as class demonstrations. The natural beauty of fluid flow opens the door to seeing the beauty of physics in general.

Students experience firsthand one of the most common water treatment types in the industry today, flocculants. They learn how the amount of suspended solids in water is measured using the basic properties of matter and light. In addition, they learn about the types of solids that can be found in water and the reasons that some are easier to remove than others. Encompassing the concepts of force and motion, attraction and repulsion of charged particles, and properties of matter, during the associated activity students see scientific concepts they already understand through the eyes of engineers who apply them to the removal of solids from water via chemical flocculants.

Students design and create flow charts for the MIT App Inventor tutorials in this computer science activity about program analysis. In program analysis, which is based on determining the behavior of computer programs, flow charts are an important tool for tracing control flow. Control flow is a graphical representation of the logic present in a program and how the program works. Students work through tutorials, design and create flow charts about how the tutorials function, and present their findings to the class. In their final assessment, they create an additional flow chart for an advanced App Inventor tutorial. This activity prepares students with the knowledge and skills to use App Inventor in the future to design and create Android applications.

In the Flow Rate Experiment, students perform hands-on experiments with a common faucet, as well as work with the Engineering Our Water Living Lab to gain a better understanding of flow rate and how it pertains to engineering and applied science. Students calculate the flow rate of a faucet for three different levels (quarter blast, half blast, and full blast). Building on these calculations, students hypothesize about the flow rate in a nearby river, and then use the Engineering Our Water Living Lab to check their hypothesis. For this lesson to be effective, your students need to have a visual feel for the flow in a nearby river.

In this weather-related activity, learners make a portable cloud in a bottle. Learners discover that clouds form when invisible water vapor in the air is cooled enough to form tiny droplets of liquid water. You an accomplish the same cooling effect by rapidly expanding air in a jar using a wide-mouth jar, rubber glove, matches, and tap water. This activity can be conducted as a demonstration or by learners with adult supervision.

Students review information learned during the past five lessons and activities of the Introduction to Engineering unit. Working in teams, they create flyers and short quizzes about various types of engineering to share with the class and collect into a "Olympic Engineering Binder" for the class to keep.

Use this activity to explore forces acting on objects, practice graphing experimental data, and introduce the algebra concepts of slope and intercept of a line. A wooden 2 x 4 beam is set on top of two scales. Students learn how to conduct an experiment by applying loads at different locations along the beam, recording the exact position of the applied load and the reaction forces measured by the scales at each end of the beam. In addition, students analyze the experiment data with the use of a chart and a table, and model/graph linear equations to describe relationships between independent and dependent variables.

Students conduct several simple lab activities to learn about the five fundamental load types that can act on structures: tension, compression, shear, bending and torsion. In this activity, students play the role of molecules in a beam that is subject to various loading schemes.

Students learn about four forms of equations: direct variation, slope-intercept form, standard form and point-slope form. They graph and complete problem sets for each, converting from one form of equation to another, and learning the benefits and uses of each.

Scotland's Forth Road Bridge may not be the most beautiful bridge over the Firth of Forth, but it is an incredible feat of engineering and is integral to the economy of the entire area. However, rust is threatening to destroy the cables that suspend the r

Foundations subject in modern software development techniques for engineering and information technology. Covers the design and development of component-based software (using C# and .NET); data structures and algorithms for modeling, analysis, and visualization; basic problem-solving techniques; web services; and the management and maintenance of software. Includes a treatment of topics such as sorting and searching algorithms; and numerical simulation techniques. Foundation for in-depth exploration of image processing, computational geometry, finite element methods, network methods and e-business applications.

Students use LEGO® MINDSTORMS® robotics to help conceptualize and understand the force of friction. Specifically, they observe how different surfaces in contact result in different frictional forces. A LEGO robot is constructed to pull a two-wheeled trailer made of LEGO parts. The robot is programmed to pull the trailer 10 feet and trial runs are conducted on smooth and textured surfaces. The speed and motor power of the robot is kept constant in all trials so students observe the effect of friction between various combinations of surfaces and trailer wheels. To apply what they learn, students act as engineers and create the most effective car by designing the most optimal tires for given surface conditions.

This case analyzes the principles of thermodynamics and the operating cycle of an adiabatic demagnetizing refrigerator (ADR), a piece of equipment NASA uses to keep x-ray detectors cold enough to work. A synthesis of all the basic principles of thermodynamics, the case would be appropriate for students enrolled in a thermal physics course, typically taught at a sophomore level.

The lesson will first explore the concept of current in electrical circuits. Current will be defined as the flow of electrons. Photovoltaic (PV) cell properties will then be introduced. Generally constructed of silicon, photovoltaic cells contain a large number of electrons BUT they can be thought of as "frozen" in their natural state. A source of energy is required to "free" these electrons if we wish to create current. Light from the sun provides this energy. This will lead to the principle of "Conservation of Energy." Finally, with a basic understanding of the circuits through Ohm's law, students will see how the energy from the sun can be used to power everyday items, including vehicles. This lesson utilizes the engineering design activity of building a solar car to help students learn these concepts.

The need to identify sustainable forms of energy as an alternative to our dependence on depleting worldwide oil reserves is one of the grand challenges of our time. The energy from the sun converted into plant biomass is the most promising renewable resource available to humanity. This seminar will examine each of the critical steps along the pathway towards the conversion of plant biomass into ethanol. This course is one of many Advanced Undergraduate Seminars offered by the Biology Department at MIT. These seminars are tailored for students with an interest in using primary research literature to discuss and learn about current biological research in a highly interactive setting. Many instructors of the Advanced Undergraduate Seminars are postdoctoral scientists with a strong interest in teaching.

Students are introduced to the multidisciplinary field of material science. Through a class demo and PowerPoint® presentation, they learn the basic classes of materials (metals, ceramics, polymers, composites) and how they differ from one another, considering concepts such as stress, strain, ductile, brittle, deformation and fracture. Practical examples help students understand how the materials are applied, and further information about specific research illustrates how materials and material science are useful in space exploration. A worksheet and quiz are provided.

During a scavenger hunt and an art project, students learn how to use a handheld GPS receiver for personal navigation. Teachers can request assistance from the Institute of Navigation to find nearby members with experience in using GPS and in locating receivers to use.

This highly visual model demonstrates the atomic theory of matter which states that a gas is made up of tiny particles of atoms that are in constant motion, smashing into each other. Balls, representing molecules, move within a cage container to simulate this phenomenon. A hair dryer provides the heat to simulate the heating and cooling of gas: the faster the balls are moving, the hotter the gas. Learners observe how the balls move at a slower rate at lower "temperatures."