Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource …
Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.
This learning video uses a simple analog setup to explore why earthquakes …
This learning video uses a simple analog setup to explore why earthquakes are so unpredictable. The setup is simple enough that students should be able to assemble and operate it on their own with a teacher's supervision. The teaching approach used in this module is known as the 5E approach, which stands for Engagement, Exploration, Explanation, Elaboration, and Evaluation. Over the course of this lesson, the basic mechanisms that give rise to the behavior of the simple analog system are explained, and further elaboration helps the students to apply their understanding of the analog system to complex fault systems that cause earthquakes
Carbon pricing, including cap-and-trade and carbon taxes, is one tool in the …
Carbon pricing, including cap-and-trade and carbon taxes, is one tool in the toolbox governments have to reduce the impacts of climate change. What kind of a tool is it? After an introduction to carbon pricing, students use an online simulator to investigate multiple pathways to a cooler future.
This Guide for Educators was developed by the MIT Environmental Solutions Initiative as an extension of our TILclimate (Today I Learned: Climate) podcast, to make it easier for you to teach climate change, earth science, and energy topics in the classroom. It is an extension of the TILclimate episode "TIL about carbon pricing."
This video will help students, particularly those not in AP-level classes, have …
This video will help students, particularly those not in AP-level classes, have a practical application for knowing about the major divisions between plants, particularly about the details of plant anatomy and reproduction. Students will be able to :Identify the major evolutionary innovations that separate plant divisions, and classify plants as belonging to one of those divisions based on phenotypic differences in plants. Classify plants by their pollen dispersal methods using pollen dispersal mapping, and justify the location of a _crime scene_ using map analysis. Analyze and present their analysis of banding patterns from DNA fingerprinting done using plants in a forensic context.
This video lesson aims to motivate students about chemistry and to raise …
This video lesson aims to motivate students about chemistry and to raise their awareness about how chemistry helps in solving certain environmental problems. In this lesson, the air pollution problem created by cars and other vehicles is presented. The lesson will highlight causes of this problem, harmful products from it and possible solutions. There will also be discussion of ways to convert the pollutants produced by burning oil in vehicles into more friendly products.
This course addresses the challenges of defining a relationship between exposure to …
This course addresses the challenges of defining a relationship between exposure to environmental chemicals and human disease. Course topics include epidemiological approaches to understanding disease causation; biostatistical methods; evaluation of human exposure to chemicals, and their internal distribution, metabolism, reactions with cellular components, and biological effects; and qualitative and quantitative health risk assessment methods used in the U.S. as bases for regulatory decision-making. Throughout the term, students consider case studies of local and national interest.
Do you want to think about ways to help solve New Orleans’ …
Do you want to think about ways to help solve New Orleans’ problems? CityScope is a project-based introduction to the contemporary city. “Problem solving in complex (urban) environments” is different than “solving complex problems.” As a member of a team, you will learn to assess scenarios for the purpose of formulating social, economic and design strategies to provide humane and sustainable solutions. A visit to New Orleans is planned for spring break 2007.
This first course in the physics curriculum introduces classical mechanics. Historically, a …
This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets. The principles of mechanics successfully described many other phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. In this course, we will investigate both approaches: Force and conservation laws. Our goal is to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to apply the theoretical framework to describe and predict the motions of bodies.
The topic of this video module is how to classify animals based …
The topic of this video module is how to classify animals based on how closely related they are. The main learning objective is that students will learn how to make phylogenetic trees based on both physical characteristics and on DNA sequence. Students will also learn why the objective and quantitative nature of DNA sequencing is preferable when it come to classifying animals based on how closely related they are. Knowledge prerequisites to this lesson include that students have some understanding of what DNA is and that they have a familiarity with the base-pairing rules and with writing a DNA sequence.
This course explores how citizen science can support community actions to combat …
This course explores how citizen science can support community actions to combat climate change. Participants will learn about framing problems, design ways to gather data, gather some of their own field data, and consider how the results can enable action. Leaks in the natural gas system—a major source of methane emissions, and a powerful contributor to climate change—will be a particular focus. The course was organized by ClimateX and Fossil Free MIT, with support from the National Science Foundation for the methane monitoring equipment. It was offered during the Independent Activities Period (IAP), which is a special 4-week January term at MIT.
We hear about climate impacts all over the world, often in global …
We hear about climate impacts all over the world, often in global terms. But what is happening where? And what will happen in our own communities? Students play a game to understand changes to precipitation. Then, using the US Climate Resilience Toolkit, they investigate local climate concerns and solutions.
This Guide for Educators was developed by the MIT Environmental Solutions Initiative as an extension of our TILclimate (Today I Learned: Climate) podcast, to make it easier for you to teach climate change, earth science, and energy topics in the classroom. It is an extension of the TILclimate episode "TIL about climate impacts."
The primary goal of these resources and programming, created as part of …
The primary goal of these resources and programming, created as part of a larger initiative to expand climate justice education at MIT, is to provide support to faculty members and instructors across disciplines in integrating climate justice content and related instructional approaches into their courses.
The Toolkit houses a wide range of climate-justice-adaptable teaching modules, a starter guide for teaching climate justice, resources for students, and climate justice data sets that can serve as supportive tools to enhance teaching content and approaches.
Earth's climate system is enormously complex, and scientists develop climate models to …
Earth's climate system is enormously complex, and scientists develop climate models to understand how climate change will play out in different parts of the world. Students play a climate resilience game, and then explore the Intergovernmental Panel on Climate Change’s 5th Assessment Report to learn more about how climate scientists handle uncertainty in models. This guide is an extension of the TILclimate episode "TIL about uncertainty."
The goal of the Climate Primer website is to summarize the most …
The goal of the Climate Primer website is to summarize the most important lines of evidence for human-caused climate change. It confronts the stickier questions about uncertainty in our projections, engages in a discussion of risk and risk managment, and concludes by presenting different options for taking action. We hope that the facts prepare you for more effective conversations with your community about values, trade-offs, politics, and actions. In March 2024, the MIT Environmental Solutions Initiative launched the first major update to the Climate Primer. The updated Primer includes more precise estimates of future global warming and its effects on global temperatures and extreme weather events, important advances in climate modeling, new actions taken around the world to adapt to the impacts of climate change, and the latest data about the pace at which clean energy and other critical climate solutions are being deployed. Read more about the update on the MIT Environmental Solutions website.
How do clouds form? How are clouds affected by (and how do …
How do clouds form? How are clouds affected by (and how do they affect) climate change? Students create a cloud in the classroom, and then investigate climate models and real-time cloud observation data. This guide is an extension of the TILclimate episode "TIL about clouds."
Many teens today who use the Internet are actively involved in participatory …
Many teens today who use the Internet are actively involved in participatory cultures—joining online communities (Facebook, message boards, game clans), producing creative work in new forms (digital sampling, modding, fan videomaking, fan fiction), working in teams to complete tasks and develop new knowledge (as in Wikipedia), and shaping the flow of media (as in blogging or podcasting). A growing body of scholarship suggests potential benefits of these activities, including opportunities for peer-to-peer learning, development of skills useful in the modern workplace, and a more empowered conception of citizenship. Some argue that young people pick up these key skills and competencies on their own by interacting with popular culture; but the problems of unequal access, lack of media transparency, and the breakdown of traditional forms of socialization and professional training suggest a role for policy and pedagogical intervention. This report aims to shift the conversation about the "digital divide" from questions about access to technology to questions about access to opportunities for involvement in participatory culture and how to provide all young people with the chance to develop the cultural competencies and social skills needed. Fostering these skills, the authors argue, requires a systemic approach to media education; schools, afterschool programs, and parents all have distinctive roles to play.
D-Lab: Energy offers a hands-on, project-based approach that engages students in understanding …
D-Lab: Energy offers a hands-on, project-based approach that engages students in understanding and addressing the applications of small-scale, sustainable energy technology in developing countries where compact, robust, low-cost systems for generating power are required. Projects may include micro-hydro, solar, or wind turbine generators along with theoretical analysis, design, prototype construction, evaluation and implementation. Students will have the opportunity both to travel to Nicaragua during spring break to identify and implement projects. D-Lab: Energy is part of MIT’s D-Lab program, which fosters the development of appropriate technologies and sustainable solutions within the framework of international development. This course is an elective subject in MIT’s undergraduate Energy Studies Minor. This Institute-wide program complements the deep expertise obtained in any major with a broad understanding of the interlinked realms of science, technology, and social sciences as they relate to energy and associated environmental challenges.
D-Lab Development addresses issues of technological improvements at the micro level for …
D-Lab Development addresses issues of technological improvements at the micro level for developing countries—in particular, how the quality of life of low-income households can be improved by adaptation of low cost and sustainable technologies. Discussion of development issues as well as project implementation challenges are addressed through lectures, case studies, guest speakers and laboratory exercises. Students form project teams to partner with mostly local level organizations in developing countries, and formulate plans for an IAP site visit. (Previous field sites include Ghana, Brazil, Honduras and India.) Project team meetings focus on developing specific projects and include cultural, social, political, environmental and economic overviews of the countries and localities to be visited as well as an introduction to the local languages.
D-Lab: Design addresses problems faced by undeserved communities with a focus on …
D-Lab: Design addresses problems faced by undeserved communities with a focus on design, experimentation, and prototyping processes. Particular attention is placed on constraints faced when designing for developing countries. Multidisciplinary teams work on semester-long projects in collaboration with community partners, field practitioners, and experts in relevant fields. Topics covered include design for affordability, design for manufacture, sustainability, and strategies for working effectively with community partners and customers. Students may continue projects begun in EC.701J D-Lab I: Development.
This course introduces concepts of supply chain design and operations with a …
This course introduces concepts of supply chain design and operations with a focus on supply chains for products destined to improve quality of life in developing countries. Topics include demand estimation, capacity planning and process analysis, inventory management, and supply chain coordination and performance. We also cover issues specific to emerging markets, such as sustainable supply chains, how to couple product design with supply chain design and operation, and how to account for the value-adding role of a supply chain. A major aspect of class is the student projects on supply chain design or improvement.
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