Gain practical insight and improved understanding of engineering experimentation through design and execution of "project" experiments. Building upon work in 16.621, students construct and test equipment, make systematic experimental measurements of phenomena, analyze data, and compare theoretical predictions with results. Written final report on entire project and formal oral presentation. Includes instructions on oral presentations. Provides valuable link between theory and practice.

Introduces laboratory experimental techniques. Principles of experimental design and reliable measurement. Laboratory safety. Instruction in effective report writing and oral presentation, including revision of written work. Selection and detailed planning of an individual research project, including design of components or equipment. Preparation of a detailed proposal for the selected project carried through to completion under 16.622.

Study of physical effects in the vicinity of a black hole as the basis for understanding general relativity, astrophysics, and elements of cosmology. Extension to current developments in theory and observation. Energy and momentum in flat spacetime; the metric; curvature or spacetime near rotating and nonrotating centers of attraction; the Global Positioning System and its dependence on general relativity; trajectories and orbits of particles. Subject has online component and classroom lectures are replaced with online interactions: manipulation of visualization software, access to websites describing current research, electronic submission of homework, and structured online discussions between undergraduates and alumni and with instructors and graduate specialists in the topics covered.

" Student teams formulate and complete space/earth/ocean exploration-based design projects with weekly milestones. This course introduces core engineering themes, principles, and modes of thinking, and includes exercises in written and oral communication and team building. Specialized learning modules enable teams to focus on the knowledge required to complete their projects, such as machine elements, electronics, design process, visualization and communication. Examples of projects include surveying a lake for millfoil from a remote controlled aircraft, then sending out robotic harvesters to clear the invasive growth; and exploration to search for the evidence of life on a moon of Jupiter, with scientists participating through teleoperation and supervisory control of robots."

Subject focused on forms of exposition, including narration, critique, argument, and persuasion. Frequent writing assignments, regular revisions, and short oral presentations are required. Readings and specific writing assignments vary by section. See subject's URL for enhanced section descriptions. Emphasis is on developing students' ability to write clear and effective prose. Students can expect to write frequently, to give and receive response to work in progress, to improve their writing by revising, to read the work of accomplished writers, and to participate actively in class discussions and workshops. Focus: What can we believe when we read an autobiography? How do writers recall, select, shape, and present their lives to construct life stories? Readings that ground these questions include selections from Incidents in the Life of a Slave Girl by Linda Brent (pseudonym for Harriet Jacobs), "A Sketch of the Past" by Virginia Woolf, Notes of A Native Son by James Baldwin, "The Achievement of Desire" by Richard Rodriguez, The Woman Warrior by Maxine Hong Kingston, and "Our Secret" by Susan Griffin. Discussion, papers, and brief oral presentations will focus on the content of the life stories as well as the forms and techniques authors use to shape autobiography. We will identify masks and stances used to achieve various goals, sources and interrelationships of technical and thematic concerns, and "fictions" of autobiographical writing. Assignments will allow students to consider texts in terms of their implicit theories of autobiography, of theories we read, and of students' experiences; assignments also allow some autobiographical writing.

Formulating, organizing, and presenting ideas clearly in writing. Reviews basic principles of rhetoric. Focuses on development of a topic, thesis, choice of appropriate vocabulary, and sentence structure to achieve purpose. Develops idiomatic prose style. Gives attention to grammar and vocabulary usage. Special focus on strengthening skills of bilingual students. Successful completion satisfies Phase I of the Writing Requirement. The purpose of this course is to develop your writing skills so that you can feel confident writing the essays, term papers, reports, and exams you will have to produce during your career here at MIT. We will read and analyze samples of expository writing, do some work on vocabulary development, and concentrate on developing your ability to write clear, accurate, sophisticated prose. We will also deal with the grammar and mechanical problems you may have trouble with.

Basic principles of planet atmospheres and interiors applied to the study of extrasolar planets (exoplanets). Focus on fundamental physical processes related to observable exoplanet properties. Quantitative overview of detection techniques. Introduction to the feasibility of the search for Earth-like planets, biosignatures and habitable conditions on exoplanets.

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.

The aim of this video lesson is to introduce the concept of factorials, and to show students that everyday events in their lives have so much to do with factorials - even if they do not realize it! During this video, students will learn about the large number of ways to arrange people and objects using the mathematical concept of factorials. This video lesson will begin with a story of a family vacation to Pulau Pinang, an island located 330 km from the city of Kuala Lumpur in Malaysia. In this video, lessons about using factorials are demonstrated through several challenges this family encounters during their vacation. A prerequisite for this lesson is knowledge of the multiplication rule of counting. During the classroom activities, students are asked to carry out collaborative learning challenges in groups of 6. These activities require students to arrange cards to show different factorial arrangements that can be made. The materials needed for this activity are very simple. We only need to provide a few pieces of blank or colored paper for each student. The lesson will take about 40 – 50 minutes to complete.

This course will teach fundamentals of control design and analysis using state-space methods. This includes both the practical and theoretical aspects of the topic. By the end of the course, you should be able to design controllers using state-space methods and evaluate whether these controllers are robust to some types of modeling errors and nonlinearities. You will learn to: Design controllers using state-space methods and analyze using classical tools. Understand impact of implementation issues (nonlinearity, delay). Indicate the robustness of your control design. Linearize a nonlinear system, and analyze stability.

The purpose of this seminar is to provide a context for understanding the challenges of urban food provisioning from a perspective of sustainability and social inclusion in cities of the global South. The seminar will be specifically geared towards preparing students for direct participation in urban markets and food policy project intervention in Cartagena, Colombia. To learn more about the Cartagena Practicum, visit the class website.

Seminar on the creativity in art, science, and technology. Discussion of how these pursuits are jointly dependent on affective as well as cognitive elements in human nature. Feeling and imagination studied in relation to principles of idealization, consummation, and the aesthetic values that give meaning to science and technology as well as literature and the other arts. Readings in philosophy, psychology, and literature.

This course is intended to provide students with the fundamentals of fencing, including footwork, bladework, bouting and refereeing. It will allow students to develop the ability to analyze a fencing bout, and promotes creativity in applying acquired skills in a fencing bout.

This seminar provides an overview of the field of international relations. Each week, a different approach to explaining international relations will be examined. By surveying major concepts and theories in the field, the seminar will also assist graduate students in preparing for the comprehensive examination and further study in the department's more specialized offerings in international relations.

This course introduces the basic driving forces for electric current, fluid flow, and mass transport, plus their application to a variety of biological systems. Basic mathematical and engineering tools will be introduced, in the context of biology and physiology. Various electrokinetic phenomena are also considered as an example of coupled nature of chemical-electro-mechanical driving forces. Applications include transport in biological tissues and across membranes, manipulation of cells and biomolecules, and microfluidics.

This course concentrates on close analysis and criticism of a wide range of films, including works from the early silent period, documentary and avant-garde films, European art cinema, and contemporary Hollywood fare. Through comparative reading of films from different eras and countries, students develop the skills to turn their in-depth analyses into interpretations and explore theoretical issues related to spectatorship. Syllabus varies from term to term, but usually includes such directors as Coppola, Eisentein, Fellini, Godard, Griffith, Hawks, Hitchcock, Kubrick, Kurosawa, Tarantino, Welles, Wiseman, and Zhang.

This course examines problems in the philosophy of film as well as literature studied in relation to their making of myths. The readings and films that are discussed in this course draw upon classic myths of the western world. Emphasis is placed on meaning and technique as the basis of creative value in both media.

This course introduces the core theory of modern financial economics and financial management, with a focus on capital markets and investments. Topics include functions of capital markets and financial intermediaries, asset valuation, fixed-income securities, common stocks, capital budgeting, diversification and portfolio selection, equilibrium pricing of risky assets, the theory of efficient markets, and an introduction to derivatives and options.

Continuation of Finance Theory I, concentrating on corporate financial management. Topics: Capital investment decisions, security issues, dividend policy, optimal capital structure, hedging and risk management, futures markets and real options analysis. The objective of this course is to learn the financial tools needed to make good business decisions. The course presents the basic insights of corporate finance theory, but emphasizes the application of theory to real business decisions. Each session involves class discussion, some centered on lectures and others around business cases.

Studies basic concepts of financial and managerial accounting. Viewpoint is that of the users of accounting information (especially managers) rather than the preparer (the accountant).