Topics change from year to year. Most recent topics include: optimal fiscal and monetary policy; optimal capital taxation; time inconsistency and incentive incompatibility of optimal policies; redistribution and political economics; heterogeneous agents and incomplete markets; Real Business Cycle models and new-keynesian models; endogenous growth; aggregate fluctuations and propagation mechanisms; recursive methods and robust control in macro. 14.462 is the second semester of the second-year Ph.D. macroeconomics sequence. The course is intended to introduce the students, not only to particular areas of current research, but also to some very useful analytical tools. It covers a selection of topics that varies from year to year. Recent topics include: Growth and Fluctuations; Heterogeneity and Incomplete Markets; Optimal Fiscal Policy; Time Inconsistency; Reputation; Coordination Games and Macroeconomi; Complementarities; Information.

The class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability, martingales, filtration, and stopping theorems, elements of large deviations theory, Brownian motion and reflected Brownian motion, stochastic integration and Ito calculus and functional limit theorems. In addition, the class will go over some applications to finance theory, insurance, queueing and inventory models.

This course focuses on the fundamentals of computer algorithms, emphasizing methods useful in practice. Upon successful completion of this course, the student will be able to: explain and identify the importance of algorithms in modern computing systems and their place as a technology in the computing industry; indentify algorithms as a pseudo-code to solve some common problems; describe asymptotic notations for bounding algorithm running times from above and below; explain methods for solving recurrences useful in describing running times of recursive algorithms; explain the use of Master Theorem in describing running times of recursive algorithms; describe the divide-and-conquer recursive technique for solving a class of problems; describe sorting algorithms and their runtime complexity analysis; describe the dynamic programming technique for solving a class of problems; describe greedy algorithms and their applications; describe concepts in graph theory, graph-based algorithms, and their analysis; describe tree-based algorithms and their analysis; explain the classification of difficult computer science problems as belonging to P, NP, and NP-hard classes. (Computer Science 303)

Analysis I covers Fundamentals of Mathematical Analysis: Convergence of Sequences and Series, Continuity, Differentiability, Riemann Integral, Sequences and Series of Functions, Uniformity, Interchange of Limit Operations. Three versions of the course are available. Each option shows the utility of abstract concepts and teaches understanding and construction of proofs. Option A chooses less abstract definitions and proofs, and gives applications where possible. Option B is more demanding and is for students with more mathematical maturity; it places more emphasis on Point-Set Topology and N-Space, whereas Option A is concerned primarily with the Real Line. Option C is a variant of Option B, with further instruction and practice in written and oral communication.

A brief summary of why undergraduate science and engineering students should focus on analytic solutions rather than numerical solutions.

This course will acquaint the student with some of the ancient Greek contributions to the Western philosophical and scientific tradition. We will examine a broad range of central philosophical themes concerning: nature, law, justice, knowledge, virtue, happiness, and death. There will be a strong emphasis on analyses of arguments found in the texts.

Seminar focuses on core issues and approaches in anthropological theory and method. Studies theoretical frameworks for the analysis and integration of material from other subjects in cultural anthropology. Subject provides instruction and practice in writing and revision whereby students produce one paper that is appropriate for publication or as a proposal for funding. This course introduces students to some of the major social theories and debates that inspire and inform anthropological analysis. Over the course of the semester, we will investigate a range of theoretical propositions concerning such topics as agency, structure, subjectivity, history, social change, power, culture, and the politics of representation. Ultimately, all theories can be read as statements about human beings and the worlds they create and inhabit. We will approach each theoretical perspective or proposition on three levels: (1) in terms of its analytical or explanatory power for understanding human behavior and the social world; (2) in the context of the social and historical circumstances in which they were produced; and (3) as contributions to ongoing dialogues and debate.

A writing practicum associated with 11.200 and 11.205 that focuses on helping students present their ideas in cogent, persuasive arguments and other analytical frameworks. Reading and writing assignments and other exercises stress the connections between clear thinking, critical reading, and effective writing. This course examines the principles and practices of clear and effective communication in addressing public issues and policies. It aims to help students plan, organize, and present their analysis and research in the form of well-founded claims and persuasive arguments that address the interests, concerns, and expectations of their audience. To achieve this aim, the course encompasses the following learning objectives: to sharpen students' persuasive skills in the service of planning, program, and policy analysis; to develop students' writing style to help them achieve the clarity and vigor needed to be persuasive in their academic and professional lives; to provide practice in presenting the fruits of research orally; and to provide guidance in the use of source material, both conventional and electronic, in the conduct of research, the sharing of information with colleagues, and the production of finished work The curriculum consists of a series of writing assignments, due in alternate weeks, that focus on case studies in organizational and public communication, capped by an oral presentation on a planning topic of the student's own choosing. The planning topic would ideally be one that focuses on the individual student's research interests, either current or projected. The presentation could consist of anything from a contemplated research proposal to preliminary findings to substantially completed research with conclusions and recommendations. It should also serve as a capstone activity encompassing the learning in the course.

A writing practicum associated with 11.200 and 11.205 that focuses on helping students present their ideas in cogent, persuasive arguments and other analytical frameworks. Reading and writing assignments and other exercises stress the connections between clear thinking, critical reading, and effective writing.

Carrier systems involve the design, operation, and management of transportation networks, assets, personnel, freight, and passengers. A number of different carrier systems are contrasted while models and tools for analyzing, optimizing, planning, managing, and controlling these systems are presented.

Subject covers the analysis, design, implementation, and testing of various forms of digital communication based on group collaboration. Students are encouraged to think about the Web and other new digital interactive media not just in terms of technology but also broader issues such as language (verbal and visual), design, information architecture, communication and community. Students work in small groups on a semester-long project of their choice. Various written and oral presentations document project development.

16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course will include: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms will include: Variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There will be a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. At the beginning of the course, the students will be given the source of a base code with all the elements of a finite element program which constitute overhead and do not contribute to the learning objectives of this course (assembly and equation-solving methods, etc.). Each assignment will consist of formulating and implementing on this basic platform, the increasingly complex algorithms resulting from the theory given in class, as well as in using the code to numerically solve specific problems. The application to real engineering applications and problems in engineering science will be stressed throughout.

Part of Tufts overall mission is to emphasize citizenship and public service. This course starts with the premise that understanding the social uses and misuses of biological knowledge is of particular importance for future health professionals and scientists. Specifically, developing skills in critical thinking and analysis of arguments is crucial if we are to deal rationally with value-laden and controversial topics at the intersection of biology and society.

The Design Process is a modern approach to the teaching of practical skills in schools, colleges and universities. It is sometimes called Product Design. In this course learners will learn how to define the Design Proces and explain the framework of design. This course discusses the advantages and disadvantages of the design process and it illustrates the design process diagrammatically. It explains problem identification techniques and discusses ways of analysing products to be designed. In addition, this course discusses the importance of investigating into problems before designing and making.

This course develops students' competence and self-confidence as design engineers. Emphasis is on the creative design process bolstered by application of physical laws, and learning to complete projects on schedule and within budget. Synthesis, analysis, design robustness and manufacturability are emphasized. The subject relies on active learning via a major design-and-build project. Lecture topics include idea generation, estimation, concept selection, visual thinking and communication, kinematics of mechanisms, machine elements, design for manufacturing, basic electronics, and professional responsibilities and ethics. A required on-line evaluation is given at the beginning and the end of the course so students can assess their design knowledge.

" Welcome to 2.007! This course is a first subject in engineering design. With your help, this course will be a great learning experience exposing you to interesting material, challenging you to think deeply, and providing skills useful in professional practice. A major element of the course is design of a robot to participate in a challenge that changes from year to year. This year, the theme is cleaning up the planet as inspired by the movie Wall-E."

What are the roles of analysis, description and performance in developing musical perception and understanding? How are units of perception different from units of description? Bamberger's text "Developing Musical Intuitions" and the accompanying software "Impromptu" are used as environments for composing melodies and percussion pieces. These, in turn, serve as the basis for students to interrogate their musical intuitions so as to expand and develop them. Term projects involve learning to perform a new composition or an experiment in musical perception, or designing multiple representations for appropriate analysis of a significant work. The goal of this class is practical: to interrogate, make explicit, and thus to develop the powerful musical intuitions that are at work as you make sense of the music all around you. Reflecting, we will ask how this knowledge develops in ordinary and extraordinary ways.

Designed to expose students to the process of conducting independent research in empirical economics and effectively communicating the results of the research. Begins with an econometric analysis of an assigned economic question and culminates in each student choosing an original topic, performing appropriate analysis, and delivering oral and written project reports.

This intensive micro-subject provides the necessary skills in Excel spreadsheet modeling for ESD.71 Engineering Systems Analysis for Design. Its purpose is to bring entering students up to speed on some of the advanced techniques that we routinely use in analysis. It is motivated by our experience that many students only have an introductory knowledge of Excel, and thus waste a lot of time thrashing about unproductively. Many people think they know Excel, but overlook many efficient tools--such as Data Table and Goal Seek. It is also useful for a variety of other subjects.