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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.
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.
New technologies for capturing carbon dioxide and disposing of it away from the atmosphere. Detailed discussion of the extent of the human modifications to the natural carbon cycle, the motivation and scope of future carbon management strategies and the role of carbon sequestration. Introduction of several carbon sequestration technologies that allow for the capture and permanent disposal of carbon dioxide. Engineering issues in their implementation, economic impacts, and the environmental issues raised by the various methods.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
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.
Concepts, principles, and applications of various sensors for sensing structural parameters and nondestructive evaluation techniques for subsurface inspection, data acquisition, and signal processing techniques. Lectures, demonstrations, and hands-on laboratory experiments.
This course will explore plausible analytical responses to a selection of diverse sonic works from the past five decades, with emphasis on works that expand or challenge existing analytical methodologies and assumptions. The goal of this course is not to offer strict analytical models or standard procedures, but to foster analytical conversations that are pertinent to their subjects while broadening the understanding of what music analysis as it relates to new music can offer.
Prerequisites: Enrollment in the MARSEA program This seminar represents the first half of a year-long course designed for students in the MARSEA program. It offers an introduction to the social scientific study of East Asia, with special attention to China, Japan, the two Koreas, and Taiwan. With the aid of guest presentations by faculty and scholars affiliated with the Weatherhead East Asian Institute, we will explore critically some of the major conceptual and methodological concerns that inform social scientific scholarship in the region. A linked aim for the course is to support students as they choose and develop topics and research designs for their M.A. theses. To that end, the course includes sessions introducing key resources and tools for research, as well as collaborative workshops designed to help students frame and draft thesis proposals.
This course explores the multidimensional nature of teaching and learning science education. It does so through a deep dive into pedagogical theory and practice, the nature of science, and the social-cultural aspects of education. The class is intended for students who may enter fields requiring elements of public education and who want to learn how to teach others.
This class takes the creation and inhabitation of place as its focus, drawing on diverse conceptual frameworks from anthropology and beyond to think critically about landscape and the forms of life and non-life through which it is constituted. Well look at the history of approaches to landscape and then address a range of case studies that attempt to decenter the human and to imagine a non-anthropocentric form of inquiry to place-making. How might such modes of approach reconfigure what is understood by landscape and the coming into being of place?
A close examination of Dostoevsky’s
Brothers Karamazov
, supplemented by a reading of related texts: works by Dostoevsky and others, notebooks for the novel; essays, theoretical and critical works, and works that illuminate the (folk-)religious, aesthetic, philosophical, scientific, and political dimensions of the novel.
Population Ecology is a quantitative field that through theoretical and empirical tools attempts to describe intrinsic and extrinsic processes that determine how populations change over time. Intrinsic factors include population structure, rate of change, and life histories; extrinsic factors include environmental variation, interspecific interactions, and anthropogenic perturbations that affect population change. A comprehensive understanding of populations and how they respond to changing environments forms the basics of conservation biology and wildlife management. This class will explore how concepts of population ecology can be used to inform the conservation and management of natural populations and ecosystems. We will emphasize practical approaches to problem-solving in ecology, conservation, and wildlife management using simulation models and inferential statistics. Topics will include Population Viability Analysis (PVA), metapopulations, species interactions, threats to wild populations, wildlife management and more. Laboratory exercises will provide hands-on experience with wildlife population models and their practical applications in wildlife ecology and management.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
Sustainability Management
introduces students to the practical tools and core concepts needed to lead organizations in ways that support environmental sustainability and responsible resource use. Designed for those preparing to work in public, nonprofit, and mission-driven private organizations, the course explores how effective management practices intersect with urgent sustainability challenges.
Each week, students engage with real-world case studies and supporting readings that address issues in organizational strategy, environmental compliance, resource management, sustainability metrics, and equity. The course emphasizes decision-making grounded in practical experience, with lessons drawn from government, nonprofit, and private sector contexts. Topics include energy and water systems, sustainable supply chains, food systems, and the role of public policy in promoting sustainable development.
Through team briefings and individual written assignments, students will analyze sustainability challenges from a managerial perspective and develop actionable strategies for achieving environmental and organizational goals.
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.
More sophisticated principles are applied and more challenging scenes are presented. Collaboration with a writer is a requirement. Required for Screenwriting and Directing concentrates.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
This seminar seeks to engage with materials that question personhood. Drawing on both fictional and non-fictional accounts, we will be involved with textual and visual documents as well institutional contexts in order to revisit such notion under contemporary capitalism. We will cover topics like rites of passage and life cycle, the role of the nation state and local communities in defining a person, the relation between self and non-self, between the living and the dead. We will likewise address vicarious forms of personhood through the prosthetic, the avatar or the heteronomous. But we will also look into forms of dissipation and/or enhancement of personhood through bodybuilding, guinea-piging and pharmo-toxicities. As a whole, the course will bring to light how the question of personhood cross-culturally relates to language, performativity, religion, technology, law, gender, race, class, care, life and death.
This course provides a strong theoretical and practical background in the use of wildlife monitoring techniques to address ecological and conservation orientated questions. The course will conduct an overview of monitoring plan design and the conceptual background needed to understand and critique monitoring plans, and have the basic skills to develop and implement a monitoring program as part of an interdisciplinary team. During this course, we will examine a variety of research and monitoring techniques used by wildlife professionals. We will evaluate the theories, strengths, and weaknesses behind the use of these wildlife techniques and apply them in the field.
We will use the experience of writing a piece with built-in constraints – cast size with a solo show – to expand our thinking about what is a theatrical event. We will work toward becoming more in touch with our imaginations and in greater awareness and command of what we know. We will explore what is of interest to each of us now, through in-class writing and outside assignments.
Prerequisites: ECON G6211 and ECON G6212 or the instructor's permission. This course provides an introduction to a number of exciting research questions in industrial organization and organizational economics. While most of the content is theoretical, great emphasis is placed on the testable implications of the models we study: related empirical work is surveyed. The course aims to bring students to the research frontier by identifying open research questions and highlighting particularly active research areas.
Commutative rings; modules; localization; primary decoposition; integral extensions; Noetherian and Artinian rings; Nullstellensatz; Dedekind domains; dimension theory; regular local rings.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
Formal written reports and conferences with the appropriate member of the faculty on a subject of special interest to the student but not covered in the other course offerings.
This graduate seminar is an investigation and interrogation of the English Renaissance. It will offer grounding in the nineteenth-century emergence of the Renaissance as a cultural and conceptual category, as well as the prevailing scholarly understanding of how sixteenth-century writers, poets, and playwrights negotiated their estrangement from the classical past. But the course will also aim, more urgently, to forge new pathways in classical reception studies. To what uses, we will ask, did English writers put their classical sources, and what imagined ideas about antiquity did they generate as a result? How did that engagement with classical sources shape emergent ideas about gender, race, and class? And though the course will center on the literary production of late-sixteenth and early-seventeenth century England, it will also cast a wide geographical net, seeking out the Renaissances and classical pasts that have been neglected in the focus on the European revival of ancient Greece and Rome. Attending to a variety of critical methodologies, this seminar will bring together a range of literary forms, including drama, epic, poetry, and civic spectacle, from a range of places, including England, Italy, and the Ottoman Empire.
Prerequisites: G6211, G6212, G6215, G6216, G6411, G6412 or the instructor's permission. This course covers prominent topics in micro-development economics. Lectures and readings will cover theoretical frameworks; emphasize empirical research; and highlight gaps in the literature.
This course provides an opportunity for students in the Music Department’s Composition DMA program to engage in off-campus practicum or internships in music composition for academic credit that will count towards the requirements for the degree.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
It’s hot and it’s getting hotter. As the machinery of capital extraction, industrialism, and consumption refuses to relinquish its grip, meteorological temperatures continue to rise and chemical hot zones spread. Tipping points threaten regime shifts in which the qualitative nature of the earth’s biosphere will alter. But until then, and even after then, hot zones occur in the aggregate only in abstraction. In reality they form like weather clouds over specific places—toxic smog over Beijing, lead poisoning in drinking water in Flint, Michigan, uranium exposure in Navajo and Hopi lands. Marx thought the social dialectic was leading to the purification of the fundamental opposition of human classes. No little evidence can be mustered to support the claim that we are nearing this moment—the world seems to be splitting into ever more extreme halves—the one percent and the ever-increasing precariate. But what many believe we are witnessing a new form of antagonism and which demands new modes of solidarity. The new swelter seems to them less fundamentally a war of class—although also a class war, although definitely not a clash of civilization—and more a clash of existents. And in this new war of the world everyone must decide with whom (or what) we are making ties of solidarity. With whom or what will we stake our claim?
College Biochemistry, Biology and Chemistry. This course is for all first year Ph.D. students and provides them with a unified curriculum that covers many of the topics that students need to know to successfully carry out research in biological sciences. The topics include basic biochemical principles, processes common to all eukaryotic cells such as transcription, translation and the cell cycle, and mechanisims of cell-cell signaling.
Prerequisites: degree in biological sciences. Lectures by visiting scientists, faculty, and students; specific biological research projects; with emphasis on evolution, ecology, and conservation biology.
Environmental factors have a profound impact on the public's health. Essential to understanding and addressing this impact is a focused study in basic and applied environmental health sciences. Environmental health problems intersect with health disparities, government policy, reproductive health, population shifts, and economic forces. Recognizing the need for a solid grounding in both environmental health sciences and the interconnections with other societal issues significantly improves the way we conduct public health research and professional practice. In this course, students will engage in scientific inquiry into environmental health issues and develop problem-solving skills for improving health at the local, regional and global levels. This course is part of the core-course requirement for the MPH.
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.
An overview of the business side of theatrical motion pictures, from the Hollywood major studios to small independents and self-distribution. Covers all the ancillary markets (cable, home video) and their relationship both to the theatrical success of the film and to its bottom line. Required for all second-year Creative Producing students. Available as an elective for Directing/Screenwriting students.
Explores varying themes in the history of music theory from antiquity to the present. Topics include the development of genres of musical analysis and description, problems in the historiography of music theory, musical discourse in relation to the human sciences, and other special issues.
Prerequisites: A thorough knowledge of elementary real analysis and some previous knowledge of probability. Overview of measure and integration theory. Probability spaces and measures, random variables and distribution functions. Independence, Borel-Cantelli lemma, zero-one laws. Expectation, uniform integrability, sums of independent random variables, stopping times, Wald's equations, elementary renewal theorems. Laws of large numbers. Characteristic functions. Central limit problem; Lindeberg-Feller theorem, infinitely divisible and stable distributions. Cramer's theorem, introduction to large deviations. Law of the iterated logarithm, Brownian motion, heat equation.
Numerical analysis of initial and boundary value problems for partial differential equations. Convergence and stability of the finite difference method, the spectral method, the finite element method and applications to elliptic, parabolic, and hyperbolic equations.
Numerical analysis of initial and boundary value problems for partial differential equations. Convergence and stability of the finite difference method, the spectral method, the finite element method and applications to elliptic, parabolic, and hyperbolic equations.
Operation and modeling of MOS transistors. MOS two- and three-terminal structures. The MOS transistor as a four-terminal device; general charge-sheet modeling; strong, moderate, and weak inversion models; short-and-narrow-channel effects; ion-implanted devices; scaling considerations in VLSI; charge modeling; large-signal transient and small-signal modeling for quasistatic and nonquasistatic operation.