Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, …
Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion, and group velocity.
This course provides an introduction to the chemistry of biological, inorganic, and …
This course provides an introduction to the chemistry of biological, inorganic, and organic molecules.ĺĘTheĺĘemphasis isĺĘon basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis. In an effort to illuminate connections between chemistry and biology, a list of the biology-, medicine-, and MIT research-related examples used in 5.111 is provided in Biology-Related Examples. Acknowledgements Development and implementation of the biology-related materials in this course were funded through an HHMI Professors grant to Prof. Catherine L. Drennan.
Explores the interaction of radiation with matter at the microscopic level from …
Explores the interaction of radiation with matter at the microscopic level from both the theoretical and experimental viewpoints. Emphasis on radiation effects in biological systems. Topics include energy deposition by various types of radiation, including the creation and behavior of secondary radiations; the effects of radiation on cells and on DNA; and experimental techniques used to measure these radiation effects. Cavity theory, microdosimetry and methods used to simulate radiation track structure are reviewed. Examples of current literature used to relate theory, modeling, and experimental methods. Requires a term paper and presentation. The central theme of this course is the interaction of radiation with biological material. The course is intended to provide a broad understanding of how different types of radiation deposit energy, including the creation and behavior of secondary radiations; of how radiation affects cells and why the different types of radiation have very different biological effects. Topics will include: the effects of radiation on biological systems including DNA damage; in vitro cell survival models; and in vivo mammalian systems. The course covers radiation therapy, radiation syndromes in humans and carcinogenesis. Environmental radiation sources on earth and in space, and aspects of radiation protection are also discussed. Examples from the current literature will be used to supplement lecture material.
The aim of this course is to introduce the principles of the …
The aim of this course is to introduce the principles of the Global Positioning System and to demonstrate its application to various aspects of Earth Sciences. The specific content of the course depends each year on the interests of the students in the class. In some cases, the class interests are towards the geophysical applications of GPS and we concentrate on high precision (millimeter level) positioning on regional and global scales. In other cases, the interests have been more toward engineering applications of kinematic positioning with GPS in which case the concentration is on positioning with slightly less accuracy but being able to do so for a moving object. In all cases, we concentrate on the fundamental issues so that students should gain an understanding of the basic limitations of the system and how to extend its application to areas not yet fully explored.
It's in our students' nature to share and connect with others. But …
It's in our students' nature to share and connect with others. But sharing online comes with some risks. How can we help kids build strong, positive, and safe relationships online? Help your students learn the difference between what's personal and what's best left private.
Students are introduced to a systematic procedure for solving problems through a …
Students are introduced to a systematic procedure for solving problems through a demonstration and then the application of the method to an everyday activity. The unit project is introduced to provide relevance to subsequent lessons.
Building on their understanding of graphs, students are introduced to random processes …
Building on their understanding of graphs, students are introduced to random processes on networks. They walk through an illustrative example to see how a random process can be used to represent the spread of an infectious disease, such as the flu, on a social network of students. This demonstrates how scientists and engineers use mathematics to model and simulate random processes on complex networks. Topics covered include random processes and modeling disease spread, specifically the SIR (susceptible, infectious, resistant) model.
Production of Educational Videos is an introduction to technical communication that is …
Production of Educational Videos is an introduction to technical communication that is situated in the production of educational videos; the assignments are all focused on the production of videos that teach some aspect of MIT's first-year core curriculum. The objective of these assignments is improvement in both communication ability and communication habits; these improvements are effected by providing participants with instruction, practice, feedback, and the opportunity for reflection. In addition to improvements in communication skills, improvement is expected in students' attitude towards writing, oral presentations, and collaboration; as the semester progresses, students should feel confident of their ability to write, present, and collaborate.
What's it like to do mathematical research? The "Project Laboratory in Mathematics" …
What's it like to do mathematical research? The "Project Laboratory in Mathematics" course from MIT's OpenCourseWare provides some fine insights into this endeavor. The course was originally developed by Professor Haynes Miller and features information about how to help students "explore puzzling and complex mathematical situations." The site includes selected video lectures from the course, instructor insights, and a selection of projects and examples, such as "The Dynamics of Successive Differences Over Z and R." Also, the site includes information on how to customize this course for a variety of settings, along with examples of classroom activities and helpful resources.
Project Management for Instructional Designers (PM4ID) is a textbook about project management …
Project Management for Instructional Designers (PM4ID) is a textbook about project management tailored specifically for instructional designers, intended for use in graduate programs in educational technology. This book is based on a pre-existing openly licensed textbook which was donated to the commons by a benefactor that desires to remain anonymous, and has been collaboratively revised and remixed by faculty and students at Brigham Young University.
Tagging friends on social media is a great way to connect with …
Tagging friends on social media is a great way to connect with others and capture memorable experiences. But what if they don't want to be tagged? Encourage your students to take responsibility for how they may affect the digital footprints of others.
The internet is filled with all kinds of interesting people, but sometimes, …
The internet is filled with all kinds of interesting people, but sometimes, some of them can be mean to each other. With this role play, help your students understand why it's often easier to be mean online than in person, and how to deal with online meanness when they see it.
Students analyze a cartoon of a Rube Goldberg machine and a Python …
Students analyze a cartoon of a Rube Goldberg machine and a Python programming language script to practice engineering analysis. In both cases, they study the examples to determine how the different systems operate and the function of each component. This exercise in juxtaposition enables students to see the parallels between a more traditional mechanical engineering design and computer programming. Students also gain practice in analyzing two very different systems to fully understand how they work, similar to how engineers analyze systems and determine how they function and how changes to the system might affect the system.
Working in small groups, students complete and run functioning Python codes. They …
Working in small groups, students complete and run functioning Python codes. They begin by determining the missing commands in a sample piece of Python code that doubles all the elements of a given input and sums the resulting values. Then students modify more advanced Python code, which numerically computes the slope of a tangent line by finding the slopes of progressively closer secant lines; to this code they add explanatory comments to describe the function of each line of code. This requires students to understand the logic employed in the Python code. Finally, students make modifications to the code in order to find the slopes of tangents to a variety of functions.
The revered quantum physicist Richard Feynman once quipped, ̢ĺŰĺĎI think I can …
The revered quantum physicist Richard Feynman once quipped, ̢ĺŰĺĎI think I can safely say that nobody understands quantum mechanics.̢ĺŰĺ And yet, the study of quantum mechanics has given birth to the laser, the microchip, and the electron microscope. What̢ĺŰĺŞs going on here? You can find out by taking Quantum Physics I, a completely free online class from MIT. The Syllabus is a great way to get situated with the course offerings and the Readings section offers links to help purchase the necessary books. When ready, strap yourself into your office chair and launch into the 24 one-hour-long Lecture Videos. Don̢ĺŰĺŞt forget the Lecture Notes (you̢ĺŰĺŞll need those!), as well as Assignments, Exams, and Study Materials. If you have ever longed to understand the Higgs Boson or wondered how a photon can act as either a particle or a wave, this incredible, knowledge packed course from one of the top scientific universities in the world is for you.
Kids find and read news in lots of different ways. But studies …
Kids find and read news in lots of different ways. But studies show they're not very good at interpreting what they see. How can we help them get better? Teaching your students about the structure of online news articles is an important place to start.
Untangling the various approaches to language teaching and their history, Gerdi Quist …
Untangling the various approaches to language teaching and their history, Gerdi Quist maps recent thinking in language studies at university. Using an interdisciplinary theoretical framework, drawn from educational philosophy, cultural studies, intercultural studies and language pedagogy, the author discusses the many tensions and currents in contemporary language teaching. The author puts forward an alternative pedagogy, that of a cultuurtekst-perspective, which engages learners at complex linguistic and cultural levels. In discussing the case study in which this approach is tested, the author develops her argument for embracing various critical perspectives through the personal engagement of students. From the start the author acknowledges her own engaged position as a language teacher in a liberal humanistic educational environment. She adopts a self -critical perspective through which her engagement with adverse student reaction leads to deepening insights both for the author and her students as part of the non-linear process of learning. Gerdi Quist teaches Dutch language and lectures on multiculturalism and intercultural communication. Recent publications included a book chapter and journal articles on language pedagogy and intercultural communication.
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