The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.

This course provides an overview of robot mechanisms, dynamics, and intelligent controls. Topics include planar and spatial kinematics, and motion planning; mechanism design for manipulators and mobile robots, multi-rigid-body dynamics, 3D graphic simulation; control design, actuators, and sensors; wireless networking, task modeling, human-machine interface, and embedded software. Weekly laboratories provide experience with servo drives, real-time control, and embedded software. Students will design and fabricate working robotic systems in a group-based term project.

Introduces fundamental issues in sculpture such as site, context, process, psychology and aesthetics of the object, and the object's relation to the body. Explores issues of interpretation and audience interaction. Introduces a variety of materials and techniques including wood, plaster, and metal (welding and forging). This class introduces fundamental issues in sculpture such as site, context, process, psychology and aesthetics of the object, and the object's relation to the body. During the semester Introduction to Sculpture will explore issues of interpretation and audience interaction. As a significant component to this class introductions to a variety of materials and techniques both traditional (wood, metal, plaster) as well as non-traditional (fabric, latex, found objects, rubber, etc.) will be emphasized.

" This graduate level course presents a basic study in seismology and the utilization of seismic waves for the study of Earth's interior. It introduces techniques necessary for understanding of elastic wave propagation in layered media."

Studies the major social, political, and aesthetic modes which have shaped Spanish civilization. Coordinates the study of literature, film, art, and architecture with the historical evolution of Spain. Readings and discussions focus on such topics as: the coexistence of Christians, Moors, and Jews; Imperial Spain; The First and Second Republics; and the contemporary period as background for the emergence of distinctively Spanish literary and artistic movements. Taught in Spanish. This course has several purposes. The major concern will be the examination of Spanish culture including Spain's history, architecture, art, literature and film, to determine if there is a uniquely Spanish manner of seeing and understanding the world - one which emerges as clearly distinct from our own and that of other Western European nations.

" Offered in the spring and fall terms, Introduction to Stagecraft is a hands-on course that gets students working with the tools and techniques of theatrical production in a practical way. It is not a design course but one devoted to artisanship. Among the many remarkable final projects that have been proposed and presented at the end of the course have been a Renaissance hourglass blown in the MIT glass shop and set into a frame turned on our set shop lathe; a four harness loom built by a student who then wove cloth on it; a number of chain mail tunics and coifs; a wide variety of costume and furniture pieces and electrified period lighting fixtures."

This course is a self-contained introduction to statistics with economic applications. Elements of probability theory, sampling theory, statistical estimation, regression analysis, and hypothesis testing. It uses elementary econometrics and other applications of statistical tools to economic data. It also provides a solid foundation in probability and statistics for economists and other social scientists.

" This course will provide a solid foundation in probability and statistics for economists and other social scientists. We will emphasize topics needed for further study of econometrics and provide basic preparation for 14.32. Topics include elements of probability theory, sampling theory, statistical estimation, and hypothesis testing."

Introduction to theories of syntax underlying work currently being done within the lexical-functional and government-binding frameworks. Organized into three interrelated parts, each focused upon a particular area of concern: phrase structure; the lexicon; and principles and parameters. Grammatical rules and processes constitute a focus of attention throughout the course that serve to reveal both modular structure of grammar and interaction of grammatical components. This course is concerned with the concepts and principles which have been of central significance in the recent development of syntactic theory, with special focus on the "Government and Binding" (GB) / "Principles and Parameters" (P&P) / "Minimalist Program" (MP) approach. It is the first of a series of two courses (24.951 is taught during the Fall and 24.952 is taught in the Spring). This course deals mostly with phrase structure, argument structure and its syntactic expression, including "A-movement". Though other issues (e.g. wh-movement, antecedent-contained deletion, extraposition) may be mentioned during the semester, the course will not systematically investigate these topics in class until 24.952. The goal of the course is to understand why certain problems have been treated in certain ways. Thus, on many occasions a variety of approaches will be discussed, and the (recent) historical development of these approaches are emphasized.

Introduction to usage and impacts of information technologies on urban planning and communities. Literature review, guest speakers, and web surfing provide examples and issues that are debated in class and homework exercises. Includes examination of metropolitan information infrastructures, urban modeling and visualization, e-government, collaborative planning, and cyber communities. This seminar is an introduction to the usage and impacts of information and communication technologies (ICTs) on urban planning, the urban environment and communities. Students will explore how social relationships, our sense of community, the urban infrastructure, and planning practice have been affected by technological change. Literature reviews, guest speakers, and web surfing will provide examples and issues that are debated in class and homework exercises. We will examine metropolitan information infrastructures, urban modeling and visualization, e-government, collaborative planning, and cyber communities. Students will attend a regular Tuesday seminar and occasional seminars of invited speakers during lunchtime on Fridays or Mondays. During the past two decades, ICTs have become so pervasive and disruptive that their impact on urban planning and social relationships has begun to reach far beyond their immediate use as efficient bookkeeping and automation tools. This seminar will examine ICT impacts on our sense of community, urban planning practice, the meaning of 'place', and the nature of metropolitan governance. In each of the four areas, we will utilize readings, class discussion, guest lectures, and homework exercises to identify and critique key trends, relevant theories, and promising directions for research and professional practice.

Frameworks and Models for Technology and Policy students explore perspectives in the policy process -- agenda setting, problem definition, framing the terms of debate, formulation and analysis of options, implementation and evaluation of policy outcomes using frameworks including economics and markets, law, and business and management. Methods include cost/benefit analysis, probabilistic risk assessment, and system dynamics. Exercises for Technology and Policy students include developing skills to work on the interface between technology and societal issues; simulation exercises; case studies; and group projects that illustrate issues involving multiple stakeholders with different value structures, high levels of uncertainty, multiple levels of complexity; and value trade-offs that are characteristic of engineering systems. Emphasis on negotiation, team building and group dynamics, and management of multiple actors and leadership. This course explores perspectives in the policy process - agenda setting, problem definition, framing the terms of debate, formulation and analysis of options, implementation and evaluation of policy outcomes using frameworks including economics and markets, law, and business and management. Methods include cost/benefit analysis, probabilistic risk assessment, and system dynamics. Exercises include developing skills to work on the interface between technology and societal issues; simulation exercises; case studies; and group projects that illustrate issues involving multiple stakeholders with different value structures, high levels of uncertainty, multiple levels of complexity; and value trade-offs that are characteristic of engineering systems. Emphasis on negotiation, team building and group dynamics, and management of multiple actors and leadership.

Introduces topology, covering topics fundamental to modern analysis and geometry. Topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems, the Tychonoff theorem.

1.201J/11.545J/ESD.210J is required for all first-year Master of Science in Transportation students. It would be of interest to, as well as accessible to, students in Urban Studies and Planning, Political Science, Technology and Policy, Management, and various engineering departments. It is a good subject for those who plan to take only one subject in transportation and serves as an entry point to other transportation subjects as well. The subject focuses on fundamental principles of transportation systems, introduces transportation systems components and networks, and addresses how one invests in and operates them effectively. The tie between transportation and related systems is emphasized.

Introduction to video editing and interface devices. Explores video as an environmental, editorial and narrative form. Looks at issues of interpretation, meaning, expression and how they relate to historical, social, and cultural issues.

This course offers an introduction to the interdisciplinary study of videogames as texts through an examination of their cultural, educational, and social functions in contemporary settings. Students play and analyze videogames while reading current research and theory from a variety of sources in the sciences, social sciences, humanities, and industry. Assignments focus on game analysis in the context of the theories discussed in class. Class meetings involve regular reading, writing, and presentation exercises. No prior programming experience required. Students taking the graduate version complete additional assignments.

Gives students a broad overview of Western music from the Middle Ages to the twentieth century, with emphasis on late Baroque, Classical, Romantic, and Modernist styles. Enhances the musical experience by developing listening skills and an understanding of diverse forms and genres. Major composers and works placed in social and cultural contexts. Weekly lectures feature demonstrations by professional performers, and introduce topics to be discussed in sections.

This course offers an introduction to Women's and Gender Studies, an interdisciplinary field that asks critical questions about the meanings of sex and gender in society. The primary goal of this course is to familiarize students with key issues, questions and debates in Women's and Gender Studies, both historical and contemporary. Gender studies scholarship critically analyzes themes of gendered performance and power in a range of social spheres, such as education, law, culture, work, medicine and the family. WGS. 101 draws on multiple disciplines--such as literature, history, economics, psychology, sociology, philosophy, political science, anthropology and media studies-- to examine cultural assumptions about sex, gender, and sexuality. This course integrates analysis of current events through student presentations, aiming to increase awareness of contemporary and historical experiences of women, and of the multiple ways that sex and gender interact with race, class, nationality and other social identities.

This class introduces students to innovative as well as classic approaches to studying U.S. government. The writing assignments will help you explore, through a variety of lenses, statis and change in the American political system over the last three decades. In the end each student will have a solid grounding in our national political institutions and processes, sharper reading and writing skills, and insight into approaching politics critically and analytically.

This course is a global-oriented survey of the history of architecture, from the prehistoric to the sixteenth century. It treats buildings and environments, including cities, in the context of the cultural and civilizational history. It offers an introduction to design principles and analysis. Being global, it aims to give the student perspective on the larger pushes and pulls that influence architecture and its meanings, whether these be economic, political, religious or climatic.

This course is an introduction to the consideration of technology as the outcome of particular technical, historical, cultural, and political efforts, especially in the United States during the 19th and 20th centuries. Topics include industrialization of production and consumption, development of engineering professions, the emergence of management and its role in shaping technological forms, the technological construction of gender roles, and the relationship between humans and machines.