This course is designed to introduce the student to key debates in the study of societies marked by the centrality of settler-native relations: We shall focus on four key debates: (a) how to conceptualize extreme violence, as criminal or political; (b) the relationship of perpetrators to beneficiaries; (c) the significance of human rights institutions, from the Nuremberg Court to the International Criminal Court to the question of decolonization: and (d) the making of a political community of survivors after catastrophe. The class will be organized around several case studies: (a) Ireland; (b) the Americas; (c) Haiti; (d) Australia; (e) the Nuremberg Court; (f) South Africa; and (g) Israel / Palestine.
Corequisites: ECON G6410 and the director of graduate studies' permission. Introduction to probability theory and statistical inference.
Introduction to Ethnomusicology: the history of the discipline and the evolution of theories and methods. G6412, Proseminar in Ethnomusicology II: Contemporary Ethnography is offered Fall 2012.
This is the first course in the two-semester sequence surveying covering foundational research in comparative politics across the developed and developing world. The course is designed for Ph.D. students preparing for comprehensive exams and who intend to conduct research relating to comparative politics, and has two core objectives. The first objective is to expose students to a range of arguments organized around questions motivating major research agendas in comparative politics. The second objective is to expose students to processes of theorizing, hypothesis formation, and testing and to strengthen students’ analytical skills in evaluating and critiquing political science research. It should go without saying that these two classes cannot exhaustively cover the many important works, topics, and methodologies in the field.
The Fall semester of this sequence will primarily focus on citizen-level and politician-level behaviors, while the Spring semester will focus on more macro-level institutions and applications of the building blocks covered in this course. However, it is not necessary to take the classes in a particular order.
Electro-optics: principles; electro-optics of liquid crystals and photo-refractive materials. Nonlinear optics: second-order nonlinear optics; third-order nonlinear optics; pulse propagation and solitons. Acousto-optics: interaction of light and sound; acousto-optic devices. Photonic switching and computing: photonic switches; all-optical switches; bistable optical devices. Introduction to fiber-optic communications: components of the fiber-optic link; modulation, multiplexing and coupling; system performance; receiver sensitivity; coherent optical communications.
This is the first course of the second year PhD econometrics sequence with emphasis on both economic applications and computationally intense methods for analysis of large and/or complex models. Students can attend the whole sequence or only one of them. While the details of the econometric techniques will be discussed extensively, the core and focus of the course is on the applications of these techniques to the study of actual data. Students will be practiced in econometric methods through computer-based exercises.
Prerequisites: Students should have a good understanding of graduate econometrics and should have taken ECON G6411 and G6412.
Analysis of stress and strain. Formulation of the problem of elastic equilibrium. Torsion and flexure of prismatic bars. Problems in stress concentration, rotating disks, shrink fits, and curved beams; pressure vessels, contact and impact of elastic bodies, thermal stresses, propagation of elastic waves.
An introduction to fundamental concepts of quantum optics and quantum electrodynamics with an emphasis on applications in nanophotonic devices. The quantization of the electromagnetic field; coherent and squeezed states of light; interaction between light and electrons in the language of quantum electrodynamics (QED); optical resonators and cavity QED; low-threshold lasers; and entangled states of light.
Prerequisites: A4404: or the instructor's permission Discussion of major issues in transportation at several levels, from national to local, and covering the economic, political, and social implications of decision-making in transportation. Current topics and case studies are investigated.\n \n
Prerequisites: (ECON GR6211 and ECON GR6212 and ECON GR6215 and ECON GR6216 and ECON GR6412 and ECON GR6411 and This course will provide an overview of current research on the economics of education. The course will pay special attention to: i) the use of credible research designs, and ii) the use of theory in evaluating the mechanisms that underlie the identied eects
Introduction to optical interconnects and interconnection networks for digital systems. Fundamental optical interconnects technologies, optical interconnection network design, characterization, and performance evaluation. Enabling photonic technologies including free-space structures, hybrid and monolithic integration platforms for photonic on-chip, chip-to-chip, backplane, and node-to-node interconnects, as well as photonic networks on-chip.
Prerequisites: Completion of 1st year graduate program in Economics, or the instructor's permission. The standard model of economic behavior describes a perfectly rational, self interested utility maximizer with unlimited cognitive resources. In many cases, this provides a good approximation to the types of behavior that economists are interested in. However, over the past 30 years, experimental and behavioral economists have documented ways in which the standard model is not just wrong, but is wrong in ways that are important for economic outcomes. Understanding these behaviors, and their implications, is one of the most exciting areas of current economic inquiry. This course will study three important topics within behavioral economics: Bounded rationality, temptation and self control and reference dependent preferences. It will draw on research from behavioral economics, experimental economics, decision theory, psychology and neuroscience in order to describe the models that have been developed to explain failures of the standard approach, the evidence in support of these models, and their economic implications.
Prerequisites: permission of the faculty member who will direct the teaching. Participation in ongoing teaching.
Counterfactuals play a key role in philosophy, linguistics, psychology, decision theory, game theory, artificial
intelligence, and many other related fields. Our goal for this course is to cover foundational work on
counterfactuals (with some attention paid to indicative conditionals as well). Though our reading list has
a historical component, its primary purpose is to familiarize students with contemporary state of play. We
will focus on distinctions and applications that have become an essential part of the working philosopher’s
toolkit.
Baroque questions of set-theoretic foundations are widely assumed to be irrelevant to physics. In
this seminar, we will see that they are not. Whether a physical theory is deterministic—whether
it fixes a unique future given the present—can depend on one’s stance on axioms of set theory
about which there is intractable disagreement. This is not a quirk of exotic toy models. It reaches
into the heat equation, quantum mechanics, statistical mechanics, and general relativity. The
seminar builds from the ground up. We begin with the philosophy of determinism: what it
means, why it matters, and how it has traditionally been formalized. We then develop enough set
theory and descriptive set theory to state the key results precisely. In the second half, we work
through the sensitivity results in detail, showing how the content of fundamental physical
theories shifts with the set-theoretic background. We conclude by asking what this means for
debates about mathematical pluralism, scientific realism, and the boundary between mathematics
and physics.
No prior knowledge of set theory or mathematical physics is assumed. The seminar is open to
graduate students in philosophy and, with permission, to advanced graduate students in
mathematics, physics, and related fields.
Selected advanced topics in smart electric energy. Content varies from year to year.
Selected advanced topics in smart electric energy. Content varies from year to year.
Selected advanced topics in smart electric energy. Content varies from year to year.
Prerequisites: ECON G6211, ECON G6212. Market Design is an emerging field in economics that attempts to devise a practical scheme for allocating scarce resources to individuals who value them. Its applications involve many important real life problems ranging from allocation of government resources such as public land, fishing/mineral rights, radio spectrum licenses, allocation of school choice and transplantable human organs, assignment of workers to jobs, to placement of advertising in Internet search engines. Mechanism design underpins the field as a general methodological framework, which is in turn operationalized by two branches of theories: 1) Auction Theory and 2) Matching Theory. The course will provide a guide through these theories and discusses a few applications along the way.
Prerequisites: permission of the departmental adviser to Graduate Studies.
This course will try to study the development of various aspects of theorization of the secular and the transformations of religion under modernity. It will be mainly based on close textual reading of important theoretical arguments representing important stages in the development of these arguments from the time of the Enlightenment to present day academic debates.
The first section will focus on the emergence of theories of a secular state in European philosophy starting with texts from Spinoza, Hobbes, and Hume. We shall also range over some ancillary texts that illustrate the nature of secularist arguments against religious beliefs and practices. The second section will concentrate on the development of the sociological tradition with focus on the works of Fustel de Coulanges, Max Weber and Ernst Troletsch. A short third section will focus on the establishment of religious studies as an academic discipline by looking at the works of a pioneer of this discipline: Wilfred Cantwell Smith. The fourth section will take up for reading and critical examination four different academic discussions in recent years: stemming from the work of Indian debates on secularism, from academic debates about the anthropology of religion, and especially studies of Islam started by the work of Talal Asad and responses it attracted. Finally, we shall take up critical works which revisit arguments from Weber by Charles Taylor and Hans Joas. The final weeks of the course will be devoted to conclusions drawn from these intersecting readings across historical time and space.
Nonlinear dynamics: Euler-Lagrange equations, Hamilton’s principle, variational calculus; nonlinear systems: fundamentals, examples, stability Notions, linear systems and linearization, frequency domain analysis, discrete time systems, absolute stability, input-to-state stabililty, control design: control Lyapunov functions, sliding mode control, control barrier functions; adaptive control: self-tuning regular, model reference adaptive control, feedback linearization, extremum seeking control, model predictive control, observer design: extended, unscented, and mixture model Kalman filters, moving horizon estimation, high-gain observers; repetitive processes: iterative learning control, learning-adaptive control, repetitive control; optimal control: continuous setting, discrete time setting, constrained optimal control, linear matrix inequality (LMI) constraints, dynamic programming and backward recursion.
This class explores advanced topics relating to the production of music by computer. Although programming experience is not a prerequisite, various programming techniques are enlisted to investigate interface design, algorithmic composition, computer analysis and processing of digital audio, and the use of computer music in contexts such as VR/AR applications. Check with the instructor for the particular focus of the class in an upcoming semester. Some familiarity with computer music hardware/software is expected. Permission of instructor is required to enroll.
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Prerequisite: Course Application.
In an era increasingly defined by geopolitical competition, it is more important than ever for future policymakers to understand why and how foreign policy decisions are made. Inside the Situation Room, co-taught by Secretary Hillary Rodham Clinton and Dean Keren Yarhi-Milo, employs insights from diverse academic fields—including political psychology, domestic politics, and international relations—and the direct experience of high-level principals in the room to understand the key factors which underpin a nation’s most crucial decisions. This course allows students to engage with a range of case studies and examine decision-making in a variety of historical and contemporary contexts, from the search for Osama bin Laden, to the “red line” in Syria, to negotiating with Iran.
Students will be taught how to analyze and understand the complex interplay between individual psychology, domestic politics, public opinion, bureaucracy, the international environment, and other factors which feed into decisions about foreign policy—from crisis diplomacy to the use of force, signaling and perception, intelligence and its analysis, the deployment of other instruments of statecraft, and more. Through this course, students will think carefully and analytically about how leaders and other actors view the world, how they arrive at their decisions, and how various social, political, and psychological factors shape the policies they devise to promote their interests abroad. For more information, visit: https://www.sipa.columbia.edu/situationroom
Required Discussion Section For Inside the Situation Room.
Required Discussion Section For Inside the Situation Room.
Required Discussion Section For Inside the Situation Room.
Applications of spoken language processing, including text-to-speech and dialogue systems. Analysis of speech and text, including entrainment, empathy, personality, emotion, humor, sarcasm, deception, trust, radicalization, and charisma.
Analytical approach to the design of (data) communication networks. Necessary tools for performance analysis and design of network protocols and algorithms. Practical engineering applications in layered Internet protocols in Data link layer, Network layer, and Transport layer. Review of relevant aspects of stochastic processes, control, and optimization.
Mathematical models, analyses of economics and networking interdependencies in the internet. Topics include microeconomics of pricing and regulations in communications industry, game theory in revenue allocations, ISP settlements, network externalities, two-sided markets. Economic principles in networking and network design, decentralized vs. centralized resource allocation, “price of anarchy,” congestion control. Case studies of topical internet issues. Societal and industry implications of internet evolution.
Further study of areas such as communication protocols and architectures, flow and congestion control in data networks, performance evaluation in integrated networks. Content varies from year to year, and different topics rotate through the course numbers 6770 to 6779.
Further study of areas such as communication protocols and architectures, flow and congestion control in data networks, performance evaluation in integrated networks. Content varies from year to year, and different topics rotate through the course numbers 6770 to 6779.
This course introduces the fundamental concepts and problems of international human rights law. What are the origins of modern human rights law? What is the substance of this law, who is obligated by it, and how is it enforced? The course will cover the major international human rights treaties and mechanisms and consider some of todays most significant human rights issues and controversies. While the topics are necessarily law-related, the course will assume no prior exposure to legal studies.
Prerequisites: the instructors permission prior to registration. Issues and problems in theory of international politics; systems theories and the current international system; the domestic sources of foreign policy and theories of decision making; transnational forces, the balance of power, and alliances.
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Prerequisites: the instructor's permission. This course will help guide E3B Ph.D. students towards candidacy by teaching them the skills necessary to be effective and independent scientists. Students will conduct an extensive literature review, write a preliminary dissertation proposal, and present their research ideas to the group on multiple occasions. Students will learn how to give and receive constructive written and oral feedback on their work.
This required Visual Arts core MFA curriculum course, comprising two parts, allows MFA students to deeply engage with and learn directly from a wide variety of working artists who visit the program each year.
Lecture Series
The lecture component, taught by an adjunct faculty member with a background in art history and/or curatorial studies, consists of lectures and individual studio visits by visiting artists and critics over the course of the academic year. The series is programmed by a panel of graduate Visual Arts students under the professor's close guidance. Invitations are extended to artists whose practice reflects the interests, mediums, and working methods of MFA students and the program. Weekly readings assigned by the professor provide context for upcoming visitors. Other course assignments include researching and preparing introductions and discussion questions for each of the visitors. Undergraduate students enrolled in Visual Arts courses are encouraged to attend and graduate students in Columbia's Department of Art History are also invited. Following each class-period the conversation continues informally at a reception for the visitor. Studio visits with Visual Arts MFA students take place on or around the week of the artist or critic's lecture and are coordinated and assigned by lottery by the professor.
Artist Mentorship
The Artist-Mentor component allows a close and focused relationship to form between a core group of ten to fifteen students and their mentor. Students are assigned two mentors who they meet with each semester in two separate one-week workshops. The content of each workshop varies according to the Mentors’ areas of expertise and the needs of the students. Mentor weeks can include individual critiques, group critiques, studio visits, visits to galleries, other artist's studios, museums, special site visits, readings, and writing workshops. Here are a few descriptions from recent mentors:
• During Mentor Week we will individually and collectively examine our assumptions and notions about art. What shapes our needs and expectations as artists and the impact of what we do?
• Our week will include visits to exhibition spaces to observe how the public engages the art. Throughout, we will consider art's ability to have real life consequences and the public's desire to personally engage with and experience art without mediation.
• The week will be conducted in two parts, f
Introduction to the theory and practice of formal methods for the design and analysis of correct (i.e. bug-free) concurrent and embedded hardware/software systems. Topics include temporal logics; model checking; deadlock and liveness issues; fairness; satisfiability (SAT) checkers; binary decision diagrams (BDDs); abstraction techniques; introduction to commercial formal verification tools. Industrial state-of-art, case studies and experiences: software analysis (C/C++/Java), hardware verification (RTL).
Advanced topics in signal processing, such as multidimensional signal processing, image feature extraction, image/video editing and indexing, advanced digital filter design, multirate signal processing, adaptive signal processing, and wave-form coding of signals. Content varies from year to year, and different topics rotate through the course numbers 6880 to 6889.
Advanced topics spanning electrical engineering and computer science such as speech processing and recognition, image and multimedia content analysis, and other areas drawing on signal processing, information theory, machine learning, pattern recognition, and related topics. Content varies from year to year, and different topics rotate through the course numbers 6890 to 6899. Topic: Big Data Analytics.
Advanced topics spanning electrical engineering and computer science such as speech processing and recognition, image and multimedia content analysis, and other areas drawing on signal processing, information theory, machine learning, pattern recognition, and related topics. Content varies from year to year, and different topics rotate through the course numbers 6890 to 6899.
Advanced topics spanning electrical engineering and computer science such as speech processing and recognition, image and multimedia content analysis, and other areas drawing on signal processing, information theory, machine learning, pattern recognition, and related topics. Content varies from year to year, and different topics rotate through the course numbers 6890 to 6899. Topic: Quantum Computing and Communication.
A reading course in an advanced topic for a small number of students, under faculty supervision.
Software or hardware projects in computer science. Before registering, the student must submit a written proposal to the instructor for review. The proposal should give a brief outline of the project, estimated schedule of completion, and computer resources needed. Oral and written reports are required. May be taken over more than one semester, in which case the grade will be deferred until all 12 points have been completed. No more than 12 points of COMS E6901 may be taken. Consult the department for section assignment.