I propose to create as sort of "Wikipedia" of exam bank questions that focus on the general education courses associated with the first two years of college. I believe enough courses would benefit from such a bank that it could significantly reduce the cost of higher education. A physics and astronomy bank has already been constructed, and a user-friendly exam-writing code has been written.

Complex analysis is a basic tool with a great many practical applications to the solution of physical problems. It revolves around complex analytic functions—functions that have a complex derivative. Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the function. Applications reviewed in this class include harmonic functions, two dimensional fluid flow, easy methods for computing (seemingly) hard integrals, Laplace transforms, and Fourier transforms with applications to engineering and physics.

This course covers the fundamental concepts that determine the electrical, optical, magnetic and mechanical properties of metals, semiconductors, ceramics and polymers. The roles of bonding, structure (crystalline, defect, energy band and microstructure) and composition in influencing and controlling physical properties are discussed. Also included are case studies drawn from a variety of applications: semiconductor diodes and optical detectors, sensors, thin films, biomaterials, composites and cellular materials, and others.

Sal shows that there will be a net torque on a loop of current in a wire. Sal shows that this net torque will cause the loop to rotate. Created by Sal Khan.

This is the first of two videos where Sal derives Bernoulli's equation. Created by Sal Khan.

This is the second of two videos where Sal derives Bernoulli's equation. In the second half of the video Sal also begins an example problem where liquid exits a hole in a container. Created by Sal Khan.

How to calculate the current through a resistor in parallel using equivalent resistance and Ohm's law.

This Ology website for kids focuses on Albert Einstein. It includes activities, things to make, quizzes, interviews with working scientists, and more to help kids learn about Albert Einstein.

The purpose of this resource is to observe budburst on selected trees at a Land Cover or Phenology Site. All students will learn about hummingbird natural history and ecology. Students will learn how to identify and age male and female Ruby-throated Hummingbirds and to observe migration and feeding behavior. Students will learn how to make connections among hummingbird behavior and weather, climate, food availability, seasonality, photoperiod (day length), and other environmental factors.

This guided inquiry activity, in which ice is used to boil water in a Florence flask, works well in the introductory class to a chemistry or physical science course. The students will learn the difference between observation and inference and apply this understanding to various other situations in which observations and inferences must be made. The students will also use outside sources to try to explain why the activity worked.

This is an activity about ultraviolet light. Learners will make ultraviolet light detector bracelets and use them to experiment with artificial light and sunlight. Then, they experiment with various sun-blocking materials to see how such materials impact the beads' absorption of ultraviolet light. Special UV detecting beads are required for this activity. This is Activity 3 of the Sun As a Star afterschool curriculum.

How a current can be induced in a loop of wire by a change in magnetic flux.

In this video, David explains how an atom can absorb and emit photons with particular values of energy and how to determine the allowed values.

This video lesson is an example of ''teaching for understanding'' in lieu of providing students with formulas for determining the height of a dropped (or projected) object at any time during its fall. The concept presented here of creating a chart to organize and analyze data collected in a simple experiment is broadly useful. During the classroom breaks in this video, students will enjoy timing objects in free fall and balls rolling down ramps as a way of learning how to carefully conduct experiments and analyze the results. The beauty of this lesson is the simplicity of using only the time it takes for an object dropped from a measured height to strike the ground. There are no math prerequisites for this lesson and no needed supplies, other than a blackboard and chalk. It can be completed in one 50-60-minute classroom period.

Students model, build, and draw diagrams of electric circuits and test the conductivity of a variety of materials.

This is an activity about the electromagnetic spectrum and how the different wavelengths of light are used to capture the most complete picture of objects in space. Learners will view images of our galaxy in multiple wavelengths to compare and analyze what is seen. This activity requires a computer with Internet access, and is Astronomy Activity 3 in a larger resource entitled Space Update.

This is a guided inquiry discussion to introduce machines and to identify types of simple machines

This subject provides an introduction to the mechanics of materials and structures. You will be introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of materials and structures and you will learn how to solve a variety of problems of interest to civil and environmental engineers. While there will be a chance for you to put your mathematical skills obtained in 18.01, 18.02, and eventually 18.03 to use in this subject, the emphasis is on the physical understanding of why a material or structure behaves the way it does in the engineering design of materials and structures.