Part One of this video lesson will explore the science that explains soap bubbles, as well as the application of this knowledge to other areas, such as architecture and biology. We first introduce the concept of surface tension. In Part Two of this video lesson, students will learn where the colors of soap bubbles come from and also learn what soap bubbles and telescopes have in common. The students will first make a connection between light and waves waves and will then go on to explore various characteristics of waves through a series of classroom activities.

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.
Course Format
This course has been designed for independent study. It includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:

Lecture Videos with supporting written notes
Recitation Videos of problem-solving tips
Worked Examples with detailed solutions to sample problems
Problem sets with solutions
Exams with solutions
Interactive Java Applets (“Mathlets”) to reinforce key concepts

Content Development
David Jerison   
Arthur Mattuck   
Haynes Miller   
Benjamin Brubaker   
Jeremy Orloff
Heidi Burgiel   
Christine Breiner   
David Jordan   
Joel Lewis
About OCW Scholar
OCW Scholar courses are designed specifically for OCW’s single largest audience: independent learners. These courses are substantially more complete than typical OCW courses, and include new custom-created content as well as materials repurposed from previously published courses.

Flying kites is a popular hobby in Malaysia and very much part of the culture. This lesson looks at kite flying science to introduce basic ideas related to the dynamics of kite flying and can be used as an extension of a physics lesson, especially after the students have learned about forces. It will focus on some of the concepts such as weight, thrust, lift and drag. It is a fun way to introduce the forces acting upon a kite and the scientific principles that allow a kite to fly. The lesson is suitable for students in secondary school. It will help students relate to the effect of forces and gives an introduction to the science of flight. As an added value, the video will also share some information about Malaysian kites which are “tailless”. The Malaysian kite is called “Wau” (pronounced “wow”), and there are many distinctive designs since each Malaysian state has its own official Wau. Malaysia has 14 states. The break activities included are to be conducted in the classroom, and students are to work in small groups on the questions given in the lesson. Students are to carry out two simple experiments to study how air flows on a kite.

12.000 Solving Complex Problems is designed to provide students the opportunity to work as part of a team to propose solutions to a complex problem that requires an interdisciplinary approach. For the students of the class of 2013, 12.000 will revolve around the issues associated with what we can and must do about the steadily increasing amounts CO2 in Earth’s atmosphere.
12.000 is a core course for the MIT Terrascope freshman learning community. Each year’s class explores a different problem in detail through the study of complementary case histories and the development of creative solution strategies. It includes training in Web site development, effective written and oral communication, and team building. Initially developed with major financial support from the d’Arbeloff Fund for Excellence in Education, 12.000 is designed to enhance the freshman experience by helping students develop contexts for other subjects in the sciences and humanities, and by helping them to establish learning communities that include upperclassmen, faculty, MIT alumni, and professionals in science and engineering fields.

The participants in this seminar will dive into learning basic conversational Italian, Italian culture, and the Mediterranean diet. Each class is based on the preparation of a delicious dish and on the bite-sized acquisition of parts of the Italian language and culture.  A good diet is not based on recipes only, it is also rooted in healthy habits and in culture. At the end of the seminar the participants will be able to cook some healthy and tasty recipes  and to understand and speak basic Italian.

This module is about a particular effect of the frequency, which is the stroboscopic effect. The lesson discusses and demonstrates low frequency phenomena - less than 16 Hz - that can usually be observed clearly by the human eye, as well as high frequency phenomena - more than 25 Hz - that are difficult for the human eye to catch. This video also explores and demonstrates how high frequency phenomena can be observed by freezing the fast moving phenomena using a device called a stroboscope. The only prerequisite for this video is that students understand the definition of the frequency of a periodic phenomenon.

This course examines alternative conceptions and theoretical underpinnings of sustainable development. It focuses on the sustainability problems of industrial countries, and of developing states and economies in transition. It also explores the sociology of knowledge regarding sustainability, the economic and technological dimensions, and institutional imperatives, along with implications for political constitution of economic performance.
17.181 fulfills the undergraduate public policy requirement in the Political Science major and minor. Graduate students are expected to explore the subject in greater depth through reading and individual research.

This course explores the importance of public transportation to social and economic recovery from the COVID-19 pandemic and seeks to identify approaches to restoring transit ridership, with a focus on Metro Boston. We will attempt to (1) understand whether and how the COVID-19 pandemic can advance sustainable mobility, and specifically the role(s) of public transportation in the COVID-19 recovery process, and (2) identify policies and/or interventions that may encourage pre-COVID transit riders to return to transit and attract net new transit ridership.

The main objective of this video lesson is to bring the students' attention to the importance of basic and natural sciences in our lives. The lesson will introduce a topic (sustainable energy) that is related mainly to chemistry and is not usually covered directly in a high school curriculum. We hope that this lesson will show students how important and useful the natural and basic sciences are not only for our daily lives, but also for sustainable development. The lesson will present creative and challenging ideas on the topic of alternative energies. It is hoped that students will be inspired by the introduction of these ideas, and that they will develop the confidence to come up with creative ideas themselves. Background for this lesson is based on fundamental concepts in chemistry (mainly), biology, physics and environmental science.

The course provides a systematic framework to understand the most challenging issues in sustainability in the real estate industry. It examines economic mechanisms, technological advances, business models, building design, and investment and financing strategies available for the different market players to promote sustainability in the building sector.
Prof. Siqi Zheng is the faculty director of the MIT Center for Real Estate and founder and director of the MIT Sustainable Urbanization Lab. She specializes in urban and environmental economics, with a special focus on sustainable cities and real estate.
Zhengzhen Tan is a lecturer and researcher with MIT Center for Real Estate and MIT Asia Real Estate Initiative, specializing in real estate sustainability, healthy buildings, and digital technology innovation.
Prof. Juan Palacios is a visiting professor from Maastricht University whose research focuses on environmental economics, sustainable real estate, and health economics.

This one-day workshop provides a brief overview of system dynamics and a hands-on simulation experience. It also serves as a preview of the more in-depth coverage of the subject available in other courses offered at MIT Sloan.

This learning video presents an introduction to graph theory through two fun, puzzle-like problems: ''The Seven Bridges of Konigsberg'' and ''The Chinese Postman Problem''. Any high school student in a college-preparatory math class should be able to participate in this lesson. Materials needed include: pen and paper for the students; if possible, printed-out copies of the graphs and image that are used in the module; and a blackboard or equivalent. During this video lesson, students will learn graph theory by finding a route through a city/town/village without crossing the same path twice. They will also learn to determine the length of the shortest route that covers all the roads in a city/town/village. To achieve these two learning objectives, they will use nodes and arcs to create a graph and represent a real problem.

Solving the interconnected complex problems that pervade our social, environmental, economic, and health systems requires concerted change. To achieve the lasting impact necessary for true change to occur, sustainability needs to be holistically integrated throughout an academic program, leveraging the knowledge of instructors to create a more sustainability-literate population.
This resource presents materials associated with a four-week noncredit course intended to provide current and future educators with the knowledge and skills to infuse their lessons and practices with sustainability, along with a link to an online resource library designed to help educators find activities and lessons that align with the United Nations Sustainable Development Goals.

This course addresses the relationship between technology-related problems and the law applicable to work environment. The National Labor Relations Act, the Occupational Safety and Health Act, the Toxic Substances Control Act, state worker’s compensation, and suits by workers in the courts are discussed in the course. Problems related to occupational health and safety, collective bargaining as a mechanism for altering technology in the workplace, job alienation, productivity, and the organization of work are also addressed. Prior courses or experience in environmental, public health, or law-related areas will be useful.

This seminar examines the global history of the last millennium, including technological change, commodity exchange, systems of production, and economic growth. Students engage with economic history, medieval and early modern origins of modern systems of production, consumption and global exchange. Topics include the long pre-history of modern economic development; medieval world systems; the age of discovery; the global crisis of the 17th century; demographic systems; global population movements; the industrial revolution; the rise of the modern consumer; colonialism and empire building; patterns of inequality, within and across states; the curse of natural resources fate of Africa; and the threat of climate change to modern economic systems. Students taking the graduate version complete additional assignments.

This course analyzes cooperative processes that shape the natural environment, now and in the geologic past. It emphasizes the development of theoretical models that relate the physical and biological worlds, the comparison of theory to observational data, and associated mathematical methods.

This course covers theories about the form that settlements should take and attempts a distinction between descriptive and normative theory by examining examples of various theories of city form over time. Case studies will highlight the origins of the modern city and theories about its emerging form, including the transformation of the nineteenth-century city and its organization. Through examples and historical context, current issues of city form in relation to city-making, social structure, and physical design will also be discussed and analyzed.

This lesson is an introductory topic in thermodynamics, on the conversion of energy. The aim of this video is to support students in visualizing the conversion of energy and its importance in real world applications. For this reason, everyday examples are used to help students see the conversion of energy around them. Energy conversion is explored through a simple example of generating electricity for lighting up a shadow puppetry play in a village. The chain process of energy conversion is illustrated until the end product of electricity. This example of electricity generation is further illustrated in an actual industrial setting by taking the viewers to a Power Plant, where viewers will see and hear the explanation of a mechanical engineer on the equipment used to produce electricity that we use in homes and businesses. This important concept of energy conversion is crucial for students to understand as a basis for learning other concepts in Thermodynamics.

This course explores materials and materials processes from the perspective of thermodynamics and kinetics. The thermodynamics aspect includes laws of thermodynamics, solution theory and equilibrium diagrams. The kinetics aspect includes diffusion, phase transformations, and the development of microstructure.

How is it that all cells in our body have the same genes, yet cells in different tissues express different genes? A basic notion in biology that most high school students fail to conceptualize is the fact that all cells in the animal or human body contain the same DNA, yet different cells in different tissues express, on the one hand, a set of common genes, and on the other, express another set of genes that vary depending on the type of tissue and the stage of development. In this video lesson, the student will be reminded that genes in a cell/tissue are expressed when certain conditions in the nucleus are met. Interestingly, the system utilized by the cell to ensure tissue specific gene expression is rather simple. Among other factors - all discussed fully in the lesson - the cells make use of a tiny scaffold known as the “Nuclear Matrix or Nucleo-Skeleton”. This video lesson spans 20 minutes and provides 5 exercises for students to work out in groups and in consultation with their classroom teacher. The entire duration of the video demonstration and exercises should take about 45-50 minutes, or equivalent to one classroom session. There are no supplies needed for students’ participation in the provided exercises. They will only need their notebooks and pens. However, the teacher may wish to emulate the demonstrations used in the video lesson by the presenter and in this case simple material can be used as those used in the video. These include play dough, pencils, rubber bands (to construct the nuclear matrix model), a tennis ball and 2-3 Meters worth of shoe laces. The students should be aware of basic information about DNA folding in the nucleus, DNA replication, gene transcription, translation and protein synthesis.