This course covers the role of physics and physicists during the 20th …
This course covers the role of physics and physicists during the 20th century, focusing on Einstein, Oppenheimer, and Feynman. Beyond just covering the scientific developments, institutional, cultural, and political contexts will also be examined.
The aim of this lesson is to introduce the concepts of Electrochemistry …
The aim of this lesson is to introduce the concepts of Electrochemistry and Electroplating and to present their applications in our daily lives. Students are encouraged to construct their knowledge of Electroplating through brainstorming sessions, experiments and discussions. This video lesson presents a series of stories related to Electroplating and begins with a story about house gates as an example of the common items related to the Electroplating topic. Prerequisites for this lesson are knowledge of the basic concepts of electrolysis and chemical equations. The lesson will take about 60 minutes to complete, but you may want to divide the lesson into two classes if the activities require more time.
This course is an investigation of the Roman empire of Augustus, the …
This course is an investigation of the Roman empire of Augustus, the Frankish empire of Charlemagne, and the English empire in the age of the Hundred Years War. Students examine different types of evidence, read across a variety of disciplines, and develop skills to identify continuities and changes in ancient and medieval societies. Each term this course is different, looking at different materials from a variety of domains to explore ancient and mideveal studies. This version is a capture of the course as it was taught in 2012, and does not reflect how it is taught currently.
This video lesson introduces students to the worlds of engineering innovation and …
This video lesson introduces students to the worlds of engineering innovation and entrepreneurship. It seeks to encourage students to see the world with a fresh perspective for innovation through interactive classroom brainstorming activities and real life stories. Students will build self-efficacy in their own entrepreneurial potential by developing their perspective for innovation, developing a prototype solution for a problem they have recognized, and delivering an elevator pitch. The video will familiarize students with all the steps in the innovation process: from conception to launch. By the end of this lesson, students will be prepared for an optional long-term innovation project.
This subject provides an introduction to fluid mechanics. Students are introduced to …
This subject provides an introduction to fluid mechanics. Students are introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and learn how to solve a variety of problems of interest to civil and environmental engineers. While there is a chance to put skills from Calculus and Differential Equations to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make the students think as a fluid. In addition to relating a working knowledge of fluid mechanics, the subject prepares students for higher-level subjects in fluid dynamics.
This learning video introduces students to the world of Fractal Geometry through …
This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.
The aim of this video lesson is to introduce the concept of …
The aim of this video lesson is to introduce the concept of factorials, and to show students that everyday events in their lives have so much to do with factorials - even if they do not realize it! During this video, students will learn about the large number of ways to arrange people and objects using the mathematical concept of factorials. This video lesson will begin with a story of a family vacation to Pulau Pinang, an island located 330 km from the city of Kuala Lumpur in Malaysia. In this video, lessons about using factorials are demonstrated through several challenges this family encounters during their vacation. A prerequisite for this lesson is knowledge of the multiplication rule of counting. During the classroom activities, students are asked to carry out collaborative learning challenges in groups of 6. These activities require students to arrange cards to show different factorial arrangements that can be made. The materials needed for this activity are very simple. We only need to provide a few pieces of blank or colored paper for each student. The lesson will take about 40 – 50 minutes to complete.
Seminar on the creativity in art, science, and technology. Discussion of how …
Seminar on the creativity in art, science, and technology. Discussion of how these pursuits are jointly dependent on affective as well as cognitive elements in human nature. Feeling and imagination studied in relation to principles of idealization, consummation, and the aesthetic values that give meaning to science and technology as well as literature and the other arts. Readings in philosophy, psychology, and literature.
This course concentrates on close analysis and criticism of a wide range …
This course concentrates on close analysis and criticism of a wide range of films, including works from the early silent period, documentary and avant-garde films, European art cinema, and contemporary Hollywood fare. Through comparative reading of films from different eras and countries, students develop the skills to turn their in-depth analyses into interpretations and explore theoretical issues related to spectatorship. Syllabus varies from term to term, but usually includes such directors as Coppola, Eisentein, Fellini, Godard, Griffith, Hawks, Hitchcock, Kubrick, Kurosawa, Tarantino, Welles, Wiseman, and Zhang.
This learning video presents an introduction to the Flaws of Averages using …
This learning video presents an introduction to the Flaws of Averages using three exciting examples: the ''crossing of the river'' example, the ''cookie'' example, and the ''dance class'' example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above.
This video lesson shows students that math can play a role in …
This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled. During this lesson, students will see and use both deterministic and probabilistic models and will learn by doing through role-playing exercises. The primary exercises between video segments of this lesson are class-intensive simulation games in which members of the class 'infect' each other under alternative math modeling assumptions about disease progression. Also there is an occasional class discussion and local discussion with nearby classmates.
The goal of this lesson is to assist students to relate the …
The goal of this lesson is to assist students to relate the forces acting upon particular objects and the “unseen” resolution of those forces. The video begins with a story line involving Adam, who helps his father in the garden by disposing of a garbage bag of leaves—the very act that involves resolution of forces. This lesson includes embedded video clips, animations, diagrams and inquiry-based experiments where students are required to work collaboratively and answer thought-provoking questions. The experiments will involve the study of the resolution of forces on objects placed on varying planes or on platforms of different angles, using materials that are easily found. Finally, students are required to discuss and apply what they have learned to determine whether it is easier to push or to pull a luggage bag with wheels. The lesson will take about 50 minutes to complete.
Continues 18.100. Roughly half the subject devoted to the theory of the …
Continues 18.100. Roughly half the subject devoted to the theory of the Lebesgue integral with applications to probability, and half to Fourier series and Fourier integrals.
This course covers French politics, culture, and society from Louis XIV to …
This course covers French politics, culture, and society from Louis XIV to Napoleon Bonaparte. Attention is given to the growth of the central state, the beginnings of a modern consumer society, the Enlightenment, the French Revolution, including its origins, and the rise and fall of Napoleon.
This video lesson is an example of ''teaching for understanding'' in lieu …
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.
This lesson focuses on the biggest problem faced by any young programmer …
This lesson focuses on the biggest problem faced by any young programmer - i.e. the LOGIC BUILDING required while solving a particular problem. With programming, the solution to a particular problem lies in the head, but one is unable to convert it into a computer program. This is because the thought processes of a human are much faster than the sense of observation. If this thought process could be slowed down, logic to solve a programming problem could be found very easily. This lesson focuses on converting this psychological thought process in a step-by -step logic fashion that a computer program can understand. This lesson is recorded in a kitchen where the basic programming concepts are taught by giving examples from the process of making a mango milk shake. This lesson teaches the 4 following techniques: 1) Swapping two variables by swapping a glass of milk with a glass of crushed ice; 2) Finding max from an array by finding the biggest mango; 3) Sorting an array by arranging the jars; and 4) Understanding the concept of a function, parameters and return type by comparing it with the blender/juicer. The lesson targets those students who know the syntax of programming in any language (C or GWBASIC preferred), but are unable to build the logic for a program. It can be taught in a class of 45 to 50 minutes.
This lesson is also available in Mandarin Chinese.
The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic …
The basic properties of functions of one complex variable. Cauchy's theorem, holomorphic and meromorphic functions, residues, contour integrals, conformal mapping. Infinite series and products, the gamma function, the Mittag-Leffler theorem. Harmonic functions, Dirichlet's problem. This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted. This course offers biweekly problem sets with solutions, two term tests and a final exam, all with solutions.
Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, …
Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, genetics, and recombinant DNA. These principles are necessary to understanding the basic mechanisms of life and anchor the biological knowledge that is required to understand many of the challenges in everyday life, from human health and disease to loss of biodiversity and environmental quality.
This video lesson has the goal of introducing students to galaxies as …
This video lesson has the goal of introducing students to galaxies as large collections of gravitationally bound stars. It explores the amount of matter needed for a star to remain bound and then brings in the idea of Dark Matter, a new kind of matter that does not interact with light. It is best if students have had some high school level mechanics, ideally Newton's laws, orbital motion and centripetal force. The teacher guide segment has a derivation of centripetal acceleration. This lesson should be mostly accessible to students with no physics background. The video portion of this lesson runs about 30 minutes, and the questions and demonstrations will give a total activity time of about an hour if the materials are all at hand and the students work quickly. However, 1 1/2 hours is a more comfortable amount of time. There are several demonstrations that can be carried out using string, ten or so balls of a few inches in diameter, a stopwatch or clock with a sweep second hand and some tape. The demonstrations are best done outside, but can also be carried out in a gymnasium or other large room. If the materials or space are not available, there are videos of the demonstrations in the module and these may be used.
This subject explores the legal history of the United States as a …
This subject explores the legal history of the United States as a gendered system. It examines how women have shaped the meanings of American citizenship through pursuit of political rights such as suffrage, jury duty, and military service, how those political struggles have varied for across race, religion, and class, as well as how the legal system has shaped gender relations for both women and men through regulation of such issues as marriage, divorce, work, reproduction, and the family. The course readings will draw from primary and secondary materials in American history, as well as some court cases. However, the focus of the class is on the broader relationship between law and society, and no technical legal knowledge is required or assumed.
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