Prerequisites: ANTH G6352 Museum Anthropology: history and theory / ANTH G6353 Politics and Practice of Museum Exhibitions; G9110, G9111 and the instructors permission. Corequisites: ANTH G6353. This course addresses the practical challenges entailed in the process of creating a successful exhibition. Developing an actual curatorial project, students will get an opportunity to apply the museum anthropology theory they are exposed to throughout the program. They will be given a hands-on approach to the different stages involved in the curation of a show, from the in-depth researching of a topic to the writing, editing and design of an exhibition that will be effective for specific audiences.
HRGE Concentration Registration Priority.
This course introduces the legal frameworks, institutions, and advocacy strategies that underpin the international human rights system. With a practitioner’s lens, students will explore civil, political, economic, social, cultural, and environmental rights through treaties, customary law, and jurisprudence. Emphasis is placed on understanding where and how the law offers avenues for redress, and the evolving role of human rights advocacy in confronting modern challenges, including corporate accountability, gender discrimination, and climate justice.
Students will examine the structure and operation of key international and regional human rights mechanisms, the limits and opportunities of legal enforcement, and the relationship between international human rights law and international humanitarian law. The course integrates doctrinal learning with applied analysis through case studies, reflections, and simulations.
Attendance in the first class session is mandatory.
MPA Financial Management Core I and II.
This course introduces the principles and practices of financial reporting, with the goal of enabling students to become informed users of financial information in both public and private sector contexts. Emphasis is placed on understanding the three primary financial statements: the balance sheet, income statement, and statement of cash flows; and the accounting concepts and rules that shape them. Students will examine how financial information is prepared, disclosed, and interpreted, and will develop analytical tools to assess an organization’s financial health and operational effectiveness. Real-world financial statements will be used throughout the course to build fluency in the language and application of accounting.
Prerequisites: STAT GR6201 Continuation of STAT G6201
This course introduces students to the literature on globalization and the diffusion of culture and institutions. It covers literatures in sociology and political science as well as some anthropology and history. This course will not discuss economic, financial, or migratory globalization in depth. In the first part, we will survey the major theories of the global diffusion of culture and institutions: world polity theory, global field theory, the policy diffusion literature, etc. In the second part, we discuss select topics, such as the role of local power relations in diffusion processes or the consequences of diffusion for patterns of cultural similarity and difference across the world.
This is the second of two semester-long courses that provide graduate students with an overview of the scholarly study of American politics. G6210 and G6211 constitute the American politics field survey. The field survey is designed for political science doctoral students who intend to specialize in American politics, as well as for those students whose primary interests are comparative politics, international relations, or political theory, but who desire an intensive introduction to the American style of political science. In this course we will cover a range of topics related to American politics that, for the most part, are not covered in G6210. Our focus will be on public opinion and political behavior. The reading assignments are a mix of foundational contributions (i.e. the canons of American politics literature) and recent research. The first part of each seminar session will aim to clarify and probe enduring puzzles, theories, and debates highlighted in the foundational texts. The latter portion of the seminar session will focus on how recent studies contribute to ongoing debates and define the research agenda going forward.
Prerequisites: ANTH G4201 Principles and Applications of Social and Cultural Anthropology and the instructors permission. Focus on research and writing for the Masters level thesis, including research design, bibliography and background literature development, and writing. Prerequisites: ANTH G4201 Principles and Applications of Social and Cultural Anthropology
Prerequisites: the director of graduate studies permission. Corequisites: ECON G6410. Consumer and producer behavior; general competitive equilibrium, welfare and efficiency, behavior under uncertainty, intertemporal allocation and capital theory, imperfect competition, elements of game theory, problems of information, economies with price rigidities.
In all developed countries, the dominant demographic feature of our time is a steady and significant increase in life expectancy. This increase seems to continue unabated. This objective fact that is seen in most developed countries has a major public health implication: How to achieve healthy aging of the general population? This will be one of the main public health challenges facing our health care system in the 21st century. To effectively address this challenge requires that the Vagelos College of Physicians and Surgeons, like every leading institution in the country, expand its research effort in the biology of aging. The long-term goals of this research effort should be to achieve a better understanding of age-related degenerative diseases of all kind, of cancers and as a result to propose novel and adapted therapies for these diseases. As part of this broad-based effort aiming at strengthening the study of the cellular, molecular and genetic bases of aging, we need to train the next generation of researchers interested in the biology of aging. The purpose of the graduate course we propose is therefore to expose graduate students to the largely uncharted territory that the biology of aging still is in order to increase the numbers of talented scientists working on the biology of aging. The graduate course we propose will introduce students to invertebrates and vertebrate’s animal models, the cellular and molecular events that occur during aging in various organs, the consequences of the aging process on homeostasis of the entire organism and last but not least, the possible intervention strategies to fight the aging process.
This new class will provide Writing for Film & Television students with a foundational experience in TV Writing in the second semester of their first year at Columbia. They will have studied feature writing in their first semester, and this class will explore how TV is different from the feature form, the unique structure of TV when compared to features, plays, and novels, the key elements of a good TV show and pilot, the different worlds of network and streaming and the current marketplace, how to structure a TV pilot, and how to write and begin revising the pilot episode for an original TV show.
Prerequisites: the director of graduate studies permission. Concept of full employment. Models of underemployment and theory applicability, determinants of consumption and of investment, multiplier and accelerator analysis, an introduction to monetary macroeconomics, the supply side and inflation. Integration of macroeconomics with microeconomic and monetary analysis.
Principles of traditional and emerging sensors, data acquisition and signal processing techniques, experimental modal analysis (input-output), operational modal analysis (output-only), model-based diagnostics of structural integrity, data-based diagnostics of structural integrity, long-term monitoring and intelligent maintenance. Lectures and demonstrations, hands-on laboratory experiments.
Review of random variables. Random process theory: stationary and ergodic processes, correlation functions and power spectra, non-stationary, non-white and non-Gaussian processes. Uncertainty quantification and simulation of environmental excitations and material/media properties, even when subject to limited/incomplete data: joint time-frequency analysis, sparse representations and compressive sampling concepts and tools. Stochastic dynamics and reliability assessment of diverse engineering systems: complex nonlinear/hysteretic behaviors and/or fractional derivative modeling. Emphasis on solution methodologies based on Monte Carlo simulation, statistical linearization, and Wiener path integral. Examples from civil, marine, mechanical and aerospace engineering.
Prerequisites: CHEM GU4221 Atomic and molecular quantum mechanics: fundamentals of electronic structure, many-body wave functions and operators, Hartree-Fock and density functional theory, the Dirac equation.
Prerequisites: ECON G6216 and G6412, or the instructor's permission. This course deals with business cycle theories and methods for evaluating such theories. The course extends the canonical real business cycle model to analyze models with cyclical variation in markups, models of endogenous fluctuations, and models of news-driven short-run fluctuations. Attention is given to numerical methods to approximate the dynamics implied by stochastic general equilibrium models, with particular emphasis given to perturbation methods. The course will also include an operational introduction to full and limited-information approaches to the estimation of DSGE models.
What can we learn from anthropological and ethnographic research in and about a damaged world, a world confronted by the violence and effects of war, climate change, transnational migration, post-industrial abandonment, and the lives and afterlives of colonialism and slavery? What are the ethnographic debates that address the catastrophes produced by capitalism and the lifeforms that emerge out of its ruins? What types of anthropological critique emerge in times enunciated as ‘the end of the world’? And what comes after this end? Ethnographies at the End of the World addresses these questions by paying close attention to some of the most relevant debates in contemporary anthropological theory and anthropological critique. These debates include, among others, discussions on violence and trauma, the politics of life and death, the work of memory and oblivion, and the material entanglements between human and non-human forms of existence. The aim of this seminar is to generate a discussion around the multiple implications of these theoretical arrangements and how anthropologists deploy them in their ethnographic understandings of the world we live in. In doing so, this course provides students with a fundamental understanding and conceptual knowledge about how anthropologists use and produce theory, and how this theoretical production is mobilized as a social critique. This course is reading intensive and operates in the form of a seminar. It is intended, primarily, for MA students in the department of anthropology and graduate students in other departments.
This seminar surveys the defining political economy issues of our time. It explores the interplay between politics and economics in the substantive issue areas of economic growth, industrial capitalist development, social welfare and inequality, financial crisis, and global migration. The seminar surveys the most provocative and influential contributions across multiple fields of study, drawing on a wide range of research methods. The course equips students with the conceptual and empirical tools to better understand current developments, provides exposure to multiple perspectives, and builds confidence in developing one’s own point of view. The course wraps up with a shared exploration of how political economy shapes the lives of marginalized communities.
This seminar is based entirely on the primary sources of Ṣūfism, including the writings of Qushayrī, Nūrī, Muḥāsibī, Sarrāj, Ghazālī, Hujwīrī, Ibn ʿArabī, Suhrawardī, Shaʿrānī, and al-Ḥakīm al-Tirmidhī. We will explore how the leading Ṣūfīs saw themselves and the ways in which they articulated their identity. This is also articulated in the ways they organized their works and constructed the biographies of their ethical exemplars. We will study their major concepts and descriptions of their own experiences, and then theorize their subjective formations as “hermeneutics of the subject.” Inasmuch as this seminar is about how we study and view Ṣūfism, it is also as much about the various ways this conception of the world can inform a basis of a set of critiques of modernity and its epistemologies and practices.
Instructor permission required. Join the waitlist in Vergil to request registration.
This is a course for thoughtful people who wish to influence actual policy outcomes related to sustainability challenges in major cities. Its objective is not to provide a primer on urban sustainability solutions; this is readily available from textbooks and will change by the time you are in a position to act. Rather, the course’s objective is to prepare you for the kind of challenges that will face you as a policy practitioner in the field of urban sustainability. Cities are increasingly recognized as a key level of government for environmental and sustainability policy. As at all levels, politics and policy are intensely intertwined, and perhaps more so at the local level because the decisions involved often affect constituents directly and intimately --in their neighborhoods, in their homes, in their commutes. This reading-heavy colloquium explores the politics and the policy of urban sustainability from the perspective of someone who wishes to effect change. It culminates in a team project in which students act as a sustainability policy team in a mayoral (or equivalent) office in one of the world’s major cities. The course considers key components of the city itself, with the objective of understanding what shapes the city and its impact on the environment. It mainly uses case studies from the twentieth-century United States, paired with international readings to allow a comparison with other experiences. The focus on deep case studies allows the consideration of the situations, constraints, and political dynamics of specific situations. It is intended to provide students with the ability to recognize patterns in urban political and policy dynamics related to sustainability. These are paired with an overview of leading solutions and how the professor believes practitioners should evaluate them for their own cities. The course also prominently features in-class presentations and discussions of the students’ main project: a team-based memo making a specific recommendation to solve a problem in a specific major world city, which is presented twice, once for a diagnosis of the problem in a given city and a second time with a policy recommendation. This project is the major portion of the overall grade for the class, and is used to allow the students to wrestle with the challenge of turning ideas from past and present into successful urban sustainability policies that can get implemented in a
This course is designed to explore nontraditional structures for the theater and beyond. We will read plays, stories, theories and watch movies that all utilize and explore nontraditional narrative structures. We will then write our own plays. Through small writing in the beginning of the semester, we will be looking at how story and structure work together to make drama. You will also find structure that excite you and you will write a final play using a structure of your choice. The course will also explore kinds of story, genre, and geometry of story.
MPA Financial Management I Core.
This course provides a practical introduction to budgeting as a critical tool for planning, decision-making, and leadership across the public, private, and nonprofit sectors. Students will develop hands-on skills in budget creation, financial analysis, and cash flow management while exploring how budgets shape organizational strategy and operations.
Vacuum basics, deposition methods, nucleation and growth, epitaxy, critical thickness, defects properties, effect of deposition procedure, mechanical properties, adhesion, interconnects, and electromigration.
MPA Financial Management II Core.
This course introduces students to budgeting and financial management in the public sector, with an emphasis on real-world application and analytical skill development. Drawing on current and historical challenges—including the 2008 financial crisis and the COVID-19 pandemic—students will explore the political, technical, and managerial dimensions of public budgeting in the United States.
Topics include the structure and function of operating and capital budgets, principles of revenue generation, deficit spending, and debt financing. Students will work with actual federal, state, and local budgets, gaining experience in constructing, analyzing, and presenting budgets in a government context. By the end of the course, students will be able to evaluate budget proposals and make data-informed recommendations grounded in public policy goals and financial feasibility.
Prerequisites: ECON G6211 and ECON G6212. This course provides an overview of topics in industrial organization (IO) economics. Its goals are to survey the main outlines of modern IO, to develop key theoretical ideas, to demonstrate important techniques, to link theory to empirical work, and to relate theoretical and empirical results to policy issues. Empirical two-period models. Empirical single-agent and multiple-agent dynamic models.
Prerequisites: ECON G6211 and ECON G6212. This is an empirical course comprised of two parts. The first part examines single agent dynamics, and multi-agent dynamics (dynamic games). Both methodological advances and empirical applications will be discussed. Some of the topics that will be covered include: investment and replacement problems, durable goods, consumer learning, price dispersion and search costs, learning by doing, and networks and switching costs. There will be a strong focus on estimation details of dynamic oligopoly models. The second part of the course will review empirical models of imperfect information including auctions, moral hazard, and adverse selection.
MPA Financial Management II Core.
This course introduces nonprofit and social enterprise finance, financial management, and budgeting. The course is practical and hands-on. The course will examine how financial management principles assist nonprofit and social enterprise leaders make operating, program, and long-term financial and strategic decisions. Students will learn underlying concepts and practical skills through readings, discussions, Case Studies, and assignments. The course is designed to give students a range of core financial and managerial skills that are especially relevant to students who want to go on to establish, manage, or work in nonprofit organizations or social enterprises.
This course introduces the students to the field of Organizational Economics. We combine theoretical and empirical methods to study the nature, design, and performance of organizations. Organizations, such as firms, bureaucracies, and political parties, live in a second-best world, where inefficiencies are inevitable. Our goal is to understand and measure these inefficiencies, study their causes and how to minimize them. This course is divided in two parts of equal length. The first part introduces a few of the main theoretical models and findings from the organizational-economics literature. The second part focuses on how to bring the models to the data. By design, the course is intended for a broad set of students: those who are theoretically inclined, those who are empirically inclined, and those who are both. Many of the tools and skills that are developed in this course will be useful not only within organizational economics but, more broadly, to other fields such as industrial organization, political economy, development economics. Our ultimate goal is to accelerate the students' transition toward conducting their own independent research.
MPA Financial Management Core II.
This course provides students with a foundational understanding of financial accounting, with an emphasis on interpreting financial statements. Students will study the three core financial statements—the balance sheet, income statement, and statement of cash flows—and learn the accounting principles and rules that shape how financial data is recorded and presented.
Through hands-on exercises and case examples from service, manufacturing, and retail operations, students will learn to apply double-entry bookkeeping, distinguish between key accounting treatments such as capitalizing and expensing, and evaluate how management’s assumptions and estimates influence reported outcomes. The course aims to build financial fluency for policy professionals and prepare students to critically assess financial information to support evidence-based decision-making.
Affine and projective varieties; schemes; morphisms; sheaves; divisors; cohomology theory; curves; Riemann-Roch theorem.
Ruling powers of various shapes and sizes tend to prosecute those people whom they fear because of their identity, class, craft, or convictions. Often, the object of accusation, inquiry, prosecution, and persecution includes not just one (or more) individual persons, but a set of relationships that these ruling powers see as anathema to the social order they seek to establish or maintain, and on which their power depends. Specters can personify residuals of antediluvian political or cosmological order (heretics and witches, officers of toppled regime, Catholics after the reformation, idolatry trials in the new world, mafiosi after their criminalization, Bundists in Soviet Russia) or emergent forms (emancipated Jews, dissidents, or anarchists). All share that role in social dramas that cast them as enemies of The State, The Church, The People, or Humanity. In this seminar we will begin to explore the array of social rituals, routinized practices (like rumors and media-oriented lynching) and institutions that have been developed specifically in order to name such specters and summon them publicly. We will examine, among others: trials, conspiracy theories (as a mode of recounting a presence that is constantly putting the specter back in), investigative committees, inquisitorial tribunals. We will examine how such social rituals and routinized practices and institutions give us unique opportunities to examine what conceptions of society, of relationships good and evil, and of justice underlie political orders, how they codify and pursue them, and what historical processes these enactments trigger or shape. We’ll focus on cases from early modern and modern societies, with an eye towards the emergence and stabilization of republican order.
Throughout their careers, scientists are expected to communicate their ideas and report their results in writing to the scientific community. Researchers who can make themselves understood tend to get funded, get published, and have more successful careers. PhD graduates who decide to go into STEM fields outside academic research often find scientific communication skills among the most sought after in industry, foundation work, and other areas. In this course, we will explore the choices a writer can make to achieve clarity of thought and clear prose style while communicating complex scientific ideas to other scientists. To that end, we will read examples of scientific writing from the recent literature, consider the strategies used by successful writers, and workshop student writing. All the writing you do in this course will be geared toward producing your written Qualifying Exam in Biological Sciences. By the end of the semester, you will have a complete, revised draft of your written Qualifying Exam.
This seminar will focus on theorizing the particular contours of knowledge production among politically radical African diasporic intellectuals in the twentieth century. We will read some of the key texts of the Black Radical Tradition with particular attention to the relations between politics and poesis, and to the ways that the exigencies of revolutionary social transformation have provoked methodological innovation in historiography. The course is not only meant to serve as an introduction to that tradition of thought, however, but more pointedly as a consideration of the implications of black radicalism for theories of the archive. To this end the class will meet in the Rare Book and Manuscript Library, and students will be expected to pursue their own hands-on research in some of the relevant holdings at Columbia, including the papers of Hubert Harrison, Alexander Gumby, C. L. R. James, Yuri Kochiyama, and Amiri Baraka. While we will use a variety of archival materials (including scrapbooks, manuscript drafts, typescripts, handwritten notes and outlines, diaries, correspondence, audio and video recordings, photographs, etc.) to contextualize these authors’ published work, our main aim in turning to the collections will be to approach these intellectuals as collectors and archivists themselves, in a manner that highlights their archival practice—their own commitment to historical documentation, classification, and preservation—as integral to their political radicalism.
Prerequisites: degree in biological sciences. Lectures by visiting scientists, faculty, and students; specific biological research projects; with emphasis on evolution, ecology, and conservation biology.
This proseminar, which meets alternate weeks for the full academic year, is required for third-year PhD students in the Department of English and Comparative Literature. The seminar will help you prepare for orals, develop your dissertation ideas, expand your research skills, produce articles for publication, and generally extend your professional skills. While we will read some practical “how to” literature and models, the focus will be on writing, workshopping material, and discussing process (time-management, organization, etc). Both out-of-class assignments and in-class writing exercises should serve to extend your ideas—or shake them loose—and bring you closer to a dissertation that represents your vision, makes others want to read your work, and reminds you why you care. By the end of the year, you will have a polished dissertation prospectus and should have submitted at least one article for publication (or have one close-to-ready for submission). Above all, the seminar offers a supportive community, an opportunity to try out ideas (cooked or still raw), and encouragement from your fellow scholar-writer-thinkers as you progress toward your orals and dissertation.
Instructor: Michael Broening.
This seminar provides a bird’s eye view of Europe's political economy in the "poly-crisis" of overlapping global challenges ranging from the climate crisis and geopolitical tensions to migration and authoritarianism. Students will analyze patterns, responses, and repercussions of these challenges, with a critical focus on overcoming existing economic policy dilemmas. The course aims to equip students with the necessary tools to analyze the complex parameters of European integration and study the global implications of European politics at the intersection of economics and politics in times of crisis.
Prerequisites: STAT GR6301. Conditional distributions and expectations. Martingales; inequalities, convergence and closure properties, optimal stopping theorems, Burkholder-Gundy inequalities, Doob-Meyer decomposition, stochastic integration, Itos rule. Brownian motion: construction, invariance principles and random walks, study of sample paths, martingale representation results Girsanov Theorem. The heat equation, Feynman-Kac formula. Dirichlet problem, connections with potential theory. Introduction to Markov processes: semigroups and infinitesimal generators, diffusions, stochastic differential equations.
Prerequisites: ECON G6211, ECON G6212 or the instructor's permission. Survey of recent microeconomic work on firm behavior in developing countries, with a primarily empirical focus. Topics include: credit constraints, contracting frictions, reputations and networks, learning and technology adoption, agency issues within firms, productivity estimation, international dimensions of firms behavior, and debates around industrial policy.
Prerequisites: (ECON GR6211) and (ECON GR6212) and (ECON GR6215) and (ECON GR6216) and (ECON GR6411) and (ECON GR6412) and This course covers a range of challenges faced by governments in low- and middle-income countries. The course will cover both applied theory papers and empirical papers applying the latest empirical methods.
Continuation of MATH GR6307x (see Fall listing).
The European Union (EU) has a deep and broad commitment to the respect and promotion of human rights, both in its internal and its external policies. However, it often faces difficulties in living up to this commitment. In this course we will study the EU’s commitment to human rights as outlined in its founding Treaties, the role of its institutional actors in following up on this commitment, and the EU’s internal and external actions and policies in this respect. For the EU’s internal policies we will focus in particular on its non-discrimination policies as well as its migration policy. In the area of the EU’s external relations we will explore the role of human rights in the EU’s development cooperation, trade policy and humanitarian aid, as well as in the EU’s multilateral relations with other international organizations, both global (e.g. the United Nations) and regional (e.g. Organization of American States; African Union; Council of Europe; OSCE).
The course provides an overview of the field of empirical political economy. While students will be expected to familiarize themselves with the most prevalent models in the field, the emphasis in this course will be on applied work. The goal is for students to attain a working knowledge of the literature, to learn to critically evaluate that literature and most importantly to develop the skills to come up with interesting, workable and theoretically grounded research questions that will push that literature forward.
This course equips mid-career professionals with the statistical tools needed to make data-informed decisions in public management and policy contexts. The course begins with foundational concepts in probability and statistics and advances through hypothesis testing, regression analysis, and applied data interpretation. Emphasis is placed on practical application, allowing students to critically evaluate research and apply quantitative findings to real-world policy and business challenges.
Designed for students with basic mathematics and high school algebra, the course does not require prior statistical knowledge. It includes hands-on training in STATA, a widely used statistical software package, to streamline analysis and enhance decision-making capabilities. By the end of the semester, students will be prepared to use statistical reasoning in managerial settings and interpret quantitative analysis produced by professional researchers.
This course introduces students to the practice of modern diplomacy through case studies of global and regional crises and the European Union’s responses to them. Students will examine how foreign policy is developed and implemented from the perspective of a professional diplomat.
The course begins with an overview of the history of EU foreign policy, followed by an introduction to the key institutions and instruments involved in external relations. Subsequent sessions will focus on case studies that illustrate the EU’s approach to various international partners: allies (including the transatlantic partnership and the UN system), neighboring regions (such as the Southern Neighborhood policy, the Eastern Partnership, and the European Political Community), and other global powers (including Russia, China, India, and Turkey). Additional topics include the war in Ukraine, conflicts in the Middle East (Libya, Syria, and the Middle East peace process), the Iran nuclear agreement, and the migration crisis.
Each case will explore the interplay among the EU’s foreign policy tools, including crisis management, defense and security, trade, financial aid, humanitarian assistance, and public diplomacy. The course concludes with a reflection on lessons learned and potential future directions for the EU’s foreign policy agenda and institutional framework.
A short course on selected issues in current US-EU economic relations. Topics covered include: US-EU trade relations; US-EU differences in relations with China; climate policy and trade; the digital economy and data privacy; European competition policy toward U.S. high tech firms; dollar-euro diplomacy and the international roles of the dollar and euro; the economic dimension to transatlantic security after the Russian invasion of Ukraine.
Application of analytical techniques to the solution of multidimensional steady and transient problems in heat conduction and convection. Lumped, integral, and differential formulations. Topics include use of sources and sinks, laminar/turbulent forced convection, and natural convection in internal and external geometries.
This course examines how the European Union governs digital technologies through its most significant regulatory and policy initiatives. Students analyse how the EU seeks to govern and secure the digital domain through the General Data Protection Regulation (GDPR), the Digital Services Act (DSA), the Digital Markets Act (DMA), cloud sovereignty initiatives such as GAIA-X, the AI Act, and cybersecurity certification. The course situates these policies within broader scholarly debates on European market integration, security, and sovereignty. Through this interdisciplinary approach, students critically assess the political, normative, and geopolitical stakes of Europe’s digital transformation and its ambition to regulate a contested global digital order. Assignments allow students to specialize in a specific domain of EU digital policy or member state, and examine how particular regulatory initiatives reflect broader normative tensions in the European governance of its digital future.
Introduction to the instrumentation and physics used in clinical nuclear medicine and PET with an emphasis on detector systems, tomography and quality control. Problem sets, papers and term project.
Advanced topics in the design of digital integrated circuits. Clocked and non-clocked combinational logic styles. Timing circuits: latches and flip-flops, phase-locked loops, delay-locked loops. SRAM and DRAM memory circuits. Modeling and analysis of on-chip interconnect. Power distribution and power-supply noise. Clocking, timing, and synchronization issues. Circuits for chip-to-chip electrical communication. Advanced technology issues that affect circuit design. The class may include a team circuit design project.
Physics of medical imaging. Imaging techniques: radiography, fluoroscopy, computed tomography, mammography, ultrasound, magnetic resonance. Includes conceptual, mathematical/theoretical, and practical clinical physics aspects.
This is a specialized course designed to provide prospective producers with a nuanced framework for understanding the screenwriting process. The course will explore all the ways a producer might interact with screenwriters and screenplays, including coverage, script analysis, notes, treatments, and rewrites. Each student will complete a series of writing and rewriting assignments over the course of the semester. Required for all second-year Creative Producing students and only open to students in that concentration.
Physics and properties of semiconductors. Transport and recombination of excess carriers. Schottky, P-N, MOS, and heterojunction diodes. Field effect and bipolar junction transistors. Dielectric and optical properties. Optical devices including semiconductor lamps, lasers, and detectors.
FE formulation for beams and plates. Generalized eigenvalue problems (vibrations and buckling). FE formulation for time-dependent parabolic and hyperbolic problems. Nonlinear problems, linearization, and solution algorithms. Geometric and material nonlinearities. Introduction to continuum mechanics. Total and updated Lagrangian formulations. Hyperelasticity and plasticity. Special topics: fracture and damage mechanics, extended finite element method.
Review of X-ray production and fundamentals of nuclear physics and radioactivity. Detailed analysis of radiation absorption and interactions in biological materials as specifically related to radiation therapy and radiation therapy dosimetry. Surveys of use of teletherapy isotopes and X-ray generators in radiation therapy plus the clinical use of interstitial and intracavitary isotopes. Principles of radiation therapy treatment planning and isodose calculations. Problem sets taken from actual clinical examples are assigned.
Pre-Production of the Motion Picture teaches Creative Producing students how to breakdown, schedule and prep all aspects of a low budget independent feature film. Using one shooting script as a case study, the class will learn to think critically and master each step of the pre-production process. Students will prepare script breakdowns, production strip boards, call sheets and a full production binder. Topics will include state tax incentives, payroll services, union contracts, deal memos/hiring paperwork, casting, labor laws, hiring BTL crew, legal, insurance and deliverables. Additionally, students will become proficient in Movie Magic Scheduling. Required for all second-year Creative Producing students and only open to students in that concentration.
Continuation of MATH GR6343x (see Fall listing).
MIA Economics Core.
This course provides a thorough introduction to the principles of microeconomics and macroeconomics, equipping students with the analytical tools to understand how individuals, firms, and governments make decisions and how they interact in local and global markets. By combining theory with applied learning, the course builds a foundation for critical thinking about real-world economic challenges and policy-making in an increasingly interconnected world.
The formulations and solution strategies for finite element analysis of nonlinear problems are developed. Topics include the sources of nonlinear behavior (geometric, constitutive, boundary condition), derivation of the governing discrete equations for nonlinear systems such as large displacement, nonlinear elasticity, rate independent and dependent plasticity and other nonlinear constitutive laws, solution strategies for nonlinear problems (e.g. incrementation, iteration), and computational procedures for large systems of nonlinear algebraic equations.
Laurel Kendall. This course is a continuation of Museum Anthropology G6352 (not a prerequisite). Through the study of museum exhibitions, this course explores a series of debates about the representation of culture in museums, the politics of identity, and the significance of objects. We will consider the museum as a contemporary and variable form, as a site for the expression of national, group, and individual identity and as a site of performance and consumption. We will consider how exhibits are developed, what they aim to convey, what makes them effective (or not), and how they sometimes become flashpoints of controversy. Because the work of museums is visual, enacted through the display of material forms, we will also consider the transformation of objects into artifacts and as part of exhibitions, addressing questions of meaning, ownership, value, and magic. We will look at this range of issues from the point of view of practitioners, critics, and audiences. G6365 works in tandem with the exhibition project that will be developed in “Exhibition Practice in Global Culture” to produce a small exhibit at AMNH.
Ordinary and partial differential equations. Turbulence phenomenology; spatial and temporal scales in turbulent flows; statistical description, filtering and Reynolds decomposition, equations governing the resolved flow, fluctuations and their energetics; turbulence closure problem for RANS and LES; two equation turbulence models and second moment closures.
Communicating science well in the context of the earth and environmental sciences is critical. This science communication course will transect specific earth and environmental science disciplines to provide a foundational understanding of what it means to communicate science and how to do so effectively. Within this overarching theme of science communication, students will gain a comprehensive and holistic understanding of how to communicate earth and environmental science across a variety of formats and to a diversity of audiences. Practical outcomes include but are not limited to students learning 1) how to rationalize a research topic, 2) write a hypothesis driven proposal, 3) evaluate proposals, 4) produce clear and compelling graphics, 5) adopt the latest pedagogical approaches, and 6) present science findings to a diversity of audiences.
Review of classical dynamics, including Lagrange’s equations. Analysis of dynamic response of high-speed machine elements and systems, including mass-spring systems, cam-follower systems, and gearing; shock isolation; introduction to gyrodynamics.
MPA and MIA-Track II Economics Core.
This course introduces the fundamental tools of microeconomic analysis used to understand individual decision-making, market behavior, and policy outcomes. It equips students with the analytical frameworks and terminology of the economics profession, fostering both critical and open-minded engagement with economic issues. Emphasis is placed on the motivations and consequences of microeconomic policies in international and public affairs contexts. Through problem-solving and collaborative work, students will build practical skills in applying economic models to real-world challenges.
MPA and MIA-Track II Economics Core.
This course continues the one-year sequence initiated with SIPA IA6400 and focuses on macroeconomics. The goal of this course is to provide students with the analytical framework to examine and interpret observed economic events in the global economy. The causal relationships between macroeconomic aggregates is based upon microeconomic principles. The subject matter always refers to concrete situations with a particular focus on the causes and effects of the current global financial crisis. The controversial nature of macroeconomic policies is central.
MPA and MIA-Track II Economics Core.
This course continues the one-year sequence initiated with SIPA IA6400 and focuses on macroeconomics. The goal of this course is to provide students with the analytical framework to examine and interpret observed economic events in the global economy. The causal relationships between macroeconomic aggregates is based upon microeconomic principles. The subject matter always refers to concrete situations with a particular focus on the causes and effects of the current global financial crisis. The controversial nature of macroeconomic policies is central.
Continuation of Mathematics GR6402x (see Fall listing).
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Corequisites: ECON G6410 and the director of graduate studies permission. Introduction to the general linear model and its use in econometrics, including the consequences of departures from the standard assumptions.
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.
GR6412 is one of two survey courses in comparative politics offered by the Political Science Department. The two courses complement each other, but need not be taken in any particular order. The course includes a great deal of student involvement and is designed to help you educate yourselves about the major themes in comparative politics and develop the analytic skills need to conduct research at a high level.
The postwar analysis of contemporary art has jettisoned many of the fields of the discipline of art history: iconography; workshop; style, in favor of a reading based on the semiology of the sign. This has transformed the discourse on contemporary art, especially as that concerns Cubism and Abstraction. The course will focus on semiology and Barthes’ practice of it, with recourse to his major works:
Roland Barthes by Roland Barthes
,
S/Z
,
Mythologies,
and
Camera Lucida.
This is the second 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.
The Spring Semester will provide the opportunity for each student to hone their play through further drafts into a finished work. Students will serve as dramaturges for each other. The semester will end with presentations of the completed plays. Each presentation is the responsibility of the author and their dramaturge.
There is no shortage of spilled ink, popular media coverage, scholarly inquiry, and academic institutes—including right here at Columbia University—dedicated to examining the intersection of religion and public life. From narratives of religion’s predicted decline during the twentieth century to its much-discussed global resurgence at the turn of the twenty-first, the concept of public religion continues to occupy popular imagination. Through the lens of public religion, we are able to examine pressing issues such as the revitalization of, or disillusionment toward, institutional forms and political establishments in our questionably secular age. What happens when religion “goes public”? Correspondingly, what assumptions about the category of religion and its role in public places do discussions of public religion promote? Over the course of the semester, we will investigate the possibilities, pitfalls, and practicalities of understanding religion in terms of public life.
The coursework will draw from scholarship, policy documents, and real-world case studies on issues ranging from climate crisis to conspiracy. Focusing on examples of advocacy, considerations of democratic renewal and decline, and competing claims of power and authority, this seminar considers the ways in which our definitions of religion impact lived, embodied, and practiced forms of religion and secularism in our current moment.
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.