Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-energy (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange’s equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.
This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.013J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject merged with 2.003.

This seminar will focus on dynamical change in biogeochemical cycles accompanying early animal evolution – beginning with the time of the earliest known microscopic animal fossils (~600 million years ago) and culminating (~100 million years later) with the rapid diversification of marine animals known as the “Cambrian explosion.” Recent work indicates that this period of intense biological evolution was both a cause and an effect of changes in global biogeochemical cycles. We will seek to identify and quantify such coevolutionary changes. Lectures and discussions will attempt to unite the perspectives of quantitative theory, organic geochemistry, and evolutionary biology.

In this class we will critically review both classical works and recent literature on complexity in ecology. The emphasis will be on developing quantitative theories in the context of experimental and observational data. We will meet twice weekly for roundtable discussions.

In this class we will critically review both classical works and recent literature on ecological theory. Emphasis will be on providing a theoretical and phenomenological foundation for the study of computational models. We will meet twice weekly for roundtable discussions.

This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov’s first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

This course begins with a study of the role of dynamics in the general physics of the atmosphere, the consideration of the differences between modeling and approximation, and the observed large-scale phenomenology of the atmosphere. Only then are the basic equations derived in rigorous manner. The equations are then applied to important problems and methodologies in meteorology and climate, with discussions of the history of the topics where appropriate. Problems include the Hadley circulation and its role in the general circulation, atmospheric waves including gravity and Rossby waves and their interaction with the mean flow, with specific applications to the stratospheric quasi-biennial oscillation, tides, the super-rotation of Venus’ atmosphere, the generation of atmospheric turbulence, and stationary waves among other problems. The quasi-geostrophic approximation is derived, and the resulting equations are used to examine the hydrodynamic stability of the circulation with applications ranging from convective adjustment to climate.

1.464 examines the long term effects of information technology on business strategy in the real estate and construction industry. Considerations include: supply chain, allocation of risk, impact on contract obligations and security, trends toward consolidation, and the convergence of information transparency and personal effectiveness. Resources are drawn from the world of dot.com entrepreneurship and “old economy” responses.

This course examines European music from the early Middle Ages until the end of the Renaissance. It includes a chronological survey and intensive study of three topics: chant and its development, music in Italy 1340-1420, and music in Elizabethan England. Instruction focuses on methods and pitfalls in studying music of the distant past. Students’ papers, problem sets, and presentations explore lives, genres, and works in depth. Works are studied in facsimile of original notation, and from original manuscripts at MIT, where possible.

If you are an entrepreneur, one of your priorities, in addition to building your company, is ensuring you have enough money at the right times. Early Stage Capital will consider a broad range of questions that entrepreneurs deal with on this front, including the following: What should your strategy and your priorities be in raising early stage capital? What are the market norms and standards in structuring VC deals? What are the critical negotiating strategies and tactics? How will your company be valued? How can you obtain the optimal valuation for your new venture? What are the critical elements in the relationship between venture capitalists and entrepreneurs? How is the “venture model” evolving? Is it broken? What is the impact of Super Angels and micro VCs?
These are key questions that face all entrepreneurs in 2010, particularly first-time entrepreneurs. This course aims to prepare you for these decisions, as either a potential entrepreneur or venture capitalist. Using live interactions with leading figures in the venture finance community, most of the class sessions will analyze fundamental strategies of the venture-capital investment process and the critical importance of the relationship between entrepreneur and investor. As well, we will have a tactical focus on demystifying the legalities and jargon of the term sheet and the “A round” financing process. Significantly for 2010, we will also frequently consider the rapid and arguably fundamental change in VC today as the “lean startup” model threatens much of the traditional role and value of the venture investor.
Disclaimer: The websites for this course and the materials they offer are provided for educational use only. They are not a substitute for the advice of an attorney and no attorney-client relationship is created by using them. All materials are provided “as-is”, without any express or implied warranties.

The Early Universe provides an introduction to modern cosmology. The first part of the course deals with the classical cosmology, and later part with modern particle physics and its recent impact on cosmology.
In the News
For more about Professor Guth’s work, listen to this interview from WBUR, Boston’s National Public Radio news station.
You may also be interested in this MIT Alumni Association Podcast Inflationary Cosmology—Is Our Universe Part of a Multiverse? with Professor Guth.

The Climate 101 presentation was developed by Brandon Leshchinskiy in collaboration with Professor Dava Newman, MIT Portugal, and EarthDNA in an effort to mobilize young people as educators on the issue of climate change. The presentation addresses not only the science but also the economics and civics of climate change, incorporating a negotiation activity that brings key concepts to life.
This resource includes the slides and instructions for the presentation, along with an introductory video from Prof. Newman, a video of Leshchinskiy actually delivering the presentation to a classroom full of students, and extensive supporting materials that will help users to become climate ambassadors and deliver the Climate 101 presentation themselves.

The Climate 101 presentation was developed by Brandon Leshchinskiy in collaboration with Professor Dava Newman, MIT Portugal, and EarthDNA in an effort to mobilize young people as educators on the issue of climate change. The presentation addresses not only the science but also the economics and civics of climate change, incorporating a negotiation activity that brings key concepts to life.
This resource includes the slides and instructions for the presentation, along with an introductory video from Prof. Newman, a video of Leshchinskiy actually delivering the presentation to a classroom full of students, and extensive supporting materials that will help users to become climate ambassadors and deliver the Climate 101 presentation themselves.

This subject examines the interactions of East Asia with the rest of the world and the relationships of each of the East Asian countries with each other, from ca. 1500 to 2000 A.D. Primary focus on China and Japan, with some reference to Korea, Vietnam, and Central Asia. Asks how international diplomatic, commercial, military, religious, and cultural relationships joined with internal processes to direct the development of East Asian societies. Subject addresses perceptions and misperceptions among East Asians and foreigners.

This subject is an introduction to various forms of culture in East Asia (focusing on China, Japan and Korea), including both traditional and contemporary examples. Critically examines the shared cultural elements that are widely considered to constitute “East Asian culture,” and also the diversity within East Asia, historically and today. Examples include religious and philosophical beliefs (Confucianism and Buddhism), literature, art, food, architecture, and popular culture. The study of gender will be an integral part of this subject. The influence and presence of Asian cultural expressions in the U.S. are also considered.
This class is suitable for students of all levels, and requires no Asian language background. Students who wish to fulfill the MISTI-Singapore requirement may do the final project on Singapore. Taught in English.
The course includes field trips to the Museum of Fine Arts and the Peabody Essex Museum.

Ecological urbanism weds the theory and practice of city design and planning, as a means of adaptation, with the insights of ecology (the study of the relationships among living organisms and their environment and the processes that shape both) and other environmental disciplines. Ecological urbanism is critical to the future of the city and its design: it provides a framework for addressing challenges that threaten humanity, such as climate change, rising sea level, declining oil reserves, rising energy demands, and environmental and social injustice, while fulfilling human needs for health, safety, welfare, meaning, and delight.

Ecologies of Construction examines the resource requirements for the making and maintenance of the contemporary built environment. This course introduces the field of industrial ecology as a primary source of concepts and methods in the mapping of material and energy expenditures dedicated to construction activities.

Ecologies of Construction examines the resource requirements for the making and maintenance of the contemporary built environment. This course introduces the field of industrial ecology as a primary source of concepts and methods in the mapping of material and energy expenditures dedicated to construction activities.

This course provides a review of physical, chemical, ecological, and economic principles used to examine interactions between humans and the natural environment. Mass balance concepts are applied to ecology, chemical kinetics, hydrology, and transportation; energy balance concepts are applied to building design, ecology, and climate change; and economic and life cycle concepts are applied to resource evaluation and engineering design. Numerical models are used to integrate concepts and to assess environmental impacts of human activities. Problem sets involve development of MATLAB® models for particular engineering applications. Some experience with computer programming is helpful but not essential.

This course provides a review of physical, chemical, ecological, and economic principles used to examine interactions between humans and the natural environment. Mass balance concepts are applied to ecology, chemical kinetics, hydrology, and transportation; energy balance concepts are applied to building design, ecology, and climate change; and economic and life cycle concepts are applied to resource evaluation and engineering design. Numerical models are used to integrate concepts and to assess environmental impacts of human activities. Problem sets involve development of MATLAB® models for particular engineering applications. Some experience with computer programming is helpful but not essential.

We will cover fundamentals of ecology, considering Earth as an integrated dynamic system. Topics include coevolution of the biosphere, geosphere, atmosphere and oceans; photosynthesis and respiration; the hydrologic, carbon and nitrogen cycles. We will examine the flow of energy and materials through ecosystems; regulation of the distribution and abundance of organisms; structure and function of ecosystems, including evolution and natural selection; metabolic diversity; productivity; trophic dynamics; models of population growth, competition, mutualism and predation. This course is designated as Communication-Intensive; instruction and practice in oral and written communication provided. Biology is a recommended prerequisite.