In this hands-on activity, students learn about the different realms of the Universe and explore their sizes and relative scales. They will be guided through a process that uncovers the immense sizes of the Sun, Solar System, Solar Neighborhood, Milky Way, Local Group, Supercluster, and the observable Universe. The full version of this activity involves students doing simple math computations, however it can also be done without the math. There are some inexpensive materials involved, as well as a powerpoint presentation. It is intended for grades 8-12, but can be adapted down for lower grade levels.

This course introduces Entrepreneurship and Business Planning. Upon successful completion of this course, students will be able to: analyze the entrepreneurial process through which business ideas are evaluated; identify the characteristics of successful entrepreneurs; demonstrate an awareness of strategies supporting entrepreneurship; distinguish between business ideas and opportunities; write a formalized business plan; write a marketing plan; examine their personal entrepreneurial potentials; know how to finance their business ventures; demonstrate an understanding of team-building dynamics. (Business Administration 305)

In the electrical engineering, solid-state materials and the properties play an essential role. A thorough understanding of the physics of metals, insulators and semiconductor materials is essential for designing new electronic devices and circuits. After short introduction of the IC fabrication process, the course starts with the crystallography. This will be followed by the basic principle of the quantum mechanics, the sold-state physics, band-structure and the relation with electrical properties of the solid-state materials. When the material physics has been throughly understood, the physics of the semiconductor device follows quite naturally and can be understood quickly and efficiently. Study Goals: The student can 1) determine the crystal structure, the density of atoms and the Miller indices of a crystal, 2) apply Schrodinger's wave equation to various potential functions and derive a probability of finding electrons, 3) discuss the concept of energy band formation and difference of material properties in terms of the band, 4) derive the concentrations of electron and holes with a given temperature in terms of Fermi energy, and 5) can discuss drift, diffusion and scattering of carriers in a semiconductor under various temperature and impurity concentrations.

Investigate what makes something soluble by exploring the effects of intermolecular attractions and what properties are necessary in a solution to overcome them. Interactive models simulate the process of dissolution, allowing you to experiment with how external factors, such as heat, can affect a substance's solubility.

This is a booklet containing 96 mathematics problems involving skills relating to algebra, fractions, graph analysis, geometry, measurement, scale, calculus, and other topics. Learners will use mathematics to explore NASA science and space exploration content relating to space weather, the study of the Sun and its interactions with Earth. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities, and there are problem sets for learners in grades 3-5, 6-8 and 9-12. This booklet can be found on the Space Math@NASA website.

What happens when an excited atom emits a photon? What can we deduce about that atom based on the photons it can emit? A series of interactive models allows you to examine how the energy levels the electrons of an atom occupy affect the types of photons that can be emitted. Use a digital spectrometer to record which wavelengths certain atoms will emit, and then use this knowledge to compare and identify types of atoms. Students will be abe to:

In the first video segment, we describe the fundamental postulate of statistical mechanics. The direct product notation we introduce in the second segment helps us to discuss the states available to a collection of many parts, which helps us, in turn, to derive the Boltzmann factor in the third segment. The fourth video segment explains how the Boltzmann factor helps us to calculate average properties for systems in thermal contact with large baths and introduces entropy (Greek letter sigma), free energy (F), and the partition function (Z).

Lecture notes on practical examples of using stochastic optimization in financial risk management

When manatees were first seen by Columbus, he thought they were mermaids..but he had been at sea for a long time! Today these gentle marine mammals are threatened by loss of habitat and collisions with boats. This video segment explores the endangered manatees of Florida and their struggle to survive, as well as some of the people who are working to save them. Please see the accompanying lesson plan for educational objectives, discussion points and classroom activities.

For farmers, growing crops is just one step in running a successful farm—making the farm or market garden economically viable requires another suite of skills, including finding land, planning what crops to grow, marketing the crops, and managing income and expenses. This resource builds on our experience educating hundreds of apprentice growers in organic production, farm and business planning, direct marketing at a roadside farm stand, and Community Supported Agriculture (CSA) management through hands-on training in the running of our 100-member CSA program. Teaching Direct Marketing and Small Farm Viability: Resources for Instructors is organized into six units, three focusing on marketing and three covering other topics related to making a small farm economically viable. Included are lessons and resources for running a CSA project, selling at farmers' markets, forming collaborative marketing groups and grower cooperatives, and selling to restaurants. Also covered are strategies to improve small farm planning, including enterprise visioning and market assessment; creating a business plan, including marketing and crop plans; and managing cash flow. Land tenure options such as cash-rent leases from non-profits, shared ownership models, conservation easements, and community land trusts are reviewed as additional mechanisms for addressing the complex issue of the economic viability of small-scale agriculture. This resource also reviews the trends and factors that influence small-scale agriculture's economics, and provides an overview of produce marketing in the U.S. The training manual is designed for – •Instructors at college and universities, agriculture organizations, farm-training programs, apprenticeship programs •Agricultural extension personnel •Farmers with interns •Growers, teachers, and organizers at urban farms, community gardens, and food projects with direct-marketing outlets This instructor's resource features class and field demonstration outlines, trainee exercises, and resource materials, with a focus on CSA. The manual can be used in a classroom setting or adapted for other training formats, such as short courses, conferences, and field days.

Over the past 35 years, instructors at the University of California, Santa Cruz have taught organic farming and gardening skills to more than a thousand apprentices through the UCSC Farm & Garden Apprenticeship program. Teaching Organic Farming & Gardening: Resources for Instructors is their 600-page manual and covers practical aspects of organic farming and gardening, applied soil science, and social and environmental issues in agriculture. Units contain lecture outlines for instructors and detailed lecture outlines for students, field and laboratory demonstrations, assessment questions, and annotated resource lists. Although much of the material has been developed for field or garden demonstrations and skill building, most of the units can also be tailored to a classroom setting.



The training manual is designed for a wide audience of those involved in teaching farming and gardening, including colleges and universities with programs in sustainable agriculture, student farms or gardens, and on-farm education programs; urban agriculture, community garden, and farm training programs; farms with internships or apprenticeships; agriculture extension stations; school gardening programs; organizations such as the Peace Corps, US AID, and other groups that provide international training in food growing and ecological growing methods; and master gardener programs.

Published by the UC Santa Cruz Center for Agroecology and Sustainable Food Systems, the 600-page manual covers practical aspects of organic farming and gardening, applied soil science, and social and environmental issues in agriculture. Units contain lecture outlines for instructors and detailed lecture outlines for students, field and laboratory demonstrations, assessment questions, and annotated resource lists. Although much of the material has been developed for field or garden demonstrations and skill building, most of the units can also be tailored to a classroom setting.The training manual is designed for a wide audience of those involved in teaching farming and gardening, including colleges and universities with programs in sustainable agriculture, student farms or gardens, and on-farm education programs; urban agriculture, community garden, and farm training programs; farms with internships or apprenticeships; agriculture extension stations; school gardening programs; organizations such as the Peace Corps, US AID, and other groups that provide international training in food growing and ecological growing methods; and master gardener programs.

This article describes an approach designed to decrease math anxiety and teach students about the use of mathematical symbols simplifying radicals. A deck of cards is used in a demonstration, and a problem set using real life examples to master the use of radicals is included. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

This is an online set of information about astronomical alignments of ancient structures and buildings. Learners will read background information about the alignments to the Sun in such structures as the Great Pyramid, Chichen Itza, and others. Next, the site contains 10 short problem sets that involve a variety of math skills, including determining the scale of a photo, measuring and drawing angles, plotting data on a graph, and creating an equation to match a set of data. Each set of problems is contained on one page and all of the sets utilize real-world problems relating to astronomical alignments of ancient structures. Each problem set is flexible and can be used on its own, together with other sets, or together with related lessons and materials selected by the educator. This was originally included as a folder insert for the 2010 Sun-Earth Day.

Computability Theory deals with one of the most fundamental questions in computer science: What is computing and what are the limits of what a computer can compute? Or, formulated differently: ‰"What kind of problems can be algorithmically solved?‰" During the course this question will be studied. Firstly, the notion of algorithm or computing will be made precise by using the mathematical model of a Turing machine. Secondly, it will be shown that basic issues in computer science, like "Given a program P does it halt for any input x?" or "Given two program P and Q, are they equivalent?" cannot be solved by any Turing machine. This shows that there exist problems that are impossible to solve with a computer, the so-called "undecidable problems".

Transistors are the building blocks of modern electronic devices. Your cell phones, iPods, and computers all depend on them to operate. Thanks to today's microfabrication technology, transistors can be made very tiny and be massively produced. You are probably using billions of them while working with this activity now--as of 2006, a dual-core Intel microprocessor contains 1.7 billion transistors. The field effect transistor is the most common type of transistor. So we will focus on it in this activity.

This is a collection of mathematical problems about transits in the solar system. Learners can work problems created to be authentic glimpses of modern science and engineering issues, often involving actual research data.