Prerequisites: comfortable with algebra, calculus, probability, statistics, and stochastic calculus.
The course covers the fundamentals of fixed income portfolio management. Its goal is to help the students develop concepts and tools for valuation and hedging of fixed income securities within a fixed set of parameters. There will be an emphasis on understanding how an investment professional manages a portfolio given a budget and a set of limits.
This course introduces students to a range of obstacles that have arisen - and continue to arise - in the struggle to make sure that women are treated as full and legitimate bearers of human rights as well as some of the significant critiques that have emerged from this struggle. The course provides a historical overview of conflicts over women's roles in family, the economy and the body politic and addresses gains women have made as well as challenges they face in relation to economic development, military conflict, domestic inequality, health, and religious and cultural beliefs. Materials provide a range of comparative views of advances and obstacles to women's rights in Latin America, Asia, Africa, Europe and the U.S. Students will also learn about significant instruments, strategies, and movements intended to remedy the inequalities that affect women.
Advanced introduction to classical sentential and predicate logic. No previous acquaintance with logic is required; nonetheless a willingness to master technicalities and to work at a certain level of abstraction is desirable. Note: Due to significant overlap, students may receive credit for only one of the following three courses:
PHIL UN3411
,
UN3415
,
GR5415
.
Prerequisites: Math GR5010 Required: Math GR5010 Intro to the Math of Finance (or equivalent),Recommended: Stat GR5264 Stochastic Processes – Applications I (or equivalent)
The objective of this course is to introduce students, from a practitioner's perspective with formal derivations, to the advanced modeling, pricing and risk management techniques that are used on derivatives desks in the industry, which goes beyond the classical option pricing courses focusing solely on the theory. The course is divided into four parts: Differential discounting, advanced volatility modeling, managing a derivatives book, and contagion and systemic risk in financial networks.
Prerequisites: all 6 MAFN core courses, at least 6 credits of approved electives, and the instructor's permission. See the MAFN website for details.
This course provides an opportunity for MAFN students to engage in off-campus internships for academic credit that counts towards the degree. Graded by letter grade. Students need to secure an internship and get it approved by the instructor.
Prerequisites: Calculus
This course covers the following topics: Fundamentals of probability theory and statistical inference used in data science; Probabilistic models, random variables, useful distributions, expectations, law of large numbers, central limit theorem; Statistical inference; point and confidence interval estimation, hypothesis tests, linear regression.
Prerequisites: A course in computer programming.
This course covers visual approaches to exploratory data analysis, with a focus on graphical techniques for finding patterns in high dimensional datasets. We consider data from a variety of fields, which may be continuous, categorical, hierarchical, temporal, and/or spatial in nature. We cover visual approaches to selecting, interpreting, and evaluating models/algorithms such as linear regression, time series analysis, clustering, and classification.
Prerequisites: (STAT GR5701) working knowledge of calculus and linear algebra (vectors and matrices), STAT GR5701 or equivalent, and familiarity with a programming language (e.g., R, Python) for statistical data analysis.
In this course, we will systematically cover fundamentals of statistical inference and modeling, with special attention to models and methods that address practical data issues. The course will be focused on inference and modeling approaches such as the EM algorithm, MCMC methods and Bayesian modeling, linear regression models, generalized linear regression models, nonparametric regressions, and statistical computing. In addition, the course will provide introduction to statistical methods and modeling that addresses various practical issues such as design of experiments, analysis of time-dependent data, missing values, etc. Throughpout the course, real-data examples will be used in lecture discussion and homework problems. This course lays the statistical foundation for inference and modeling using data, preparing the MS in Data Science students, for other courses in machine learning, data mining and visualization.
This course consolidates two components of the systematic professional training and pedagogical formation of graduate students in the Department of Music. G6000 is taught by the chair of the Core Curriculum course, Masterpieces of Western Music (Music Humanities). The course streamlines the process by which students in the four different doctoral degree programs (historical musicology, ethnomusicology, theory, and composition) are trained to teach their own sections of Music Humanities. Students also learn about applying for academic positions, preparing curriculum vitae, submitting journal articles, preparing book proposals, and other professional skills.
This course provides a structured setting for stand-alone M.A. students in their final year and Ph.D. students in their second and third years to develop their research trajectories in a way that complements normal coursework. The seminar meets approximately biweekly and focuses on topics such as research methodology; project design; literature review, including bibliographies and citation practices; grant writing. Required for MESAAS graduate students in their second and third year.
Reading and discussion of primary and secondary materials dealing with Japanese history from the 16th through 19th centuries. Attention to both historical and historiographic issues, focusing on a different theme or aspect of early modern history each time offered.
Field(s): EA
What are the contributions and challenges of Medieval Studies to the field of Iberian Studies—and to contemporary critical thought? This challenge has frequently been invoked as
convivencia
, a concept that roughly, albeit inadequately, translates as
coexistence
. The term was deployed occasionally in the early twentieth century and it arose, more or less as we know it, in Ramón Menéndez Pidal's
Orígenes del español
(1926). There, the notion of
convivencia
was cast as a linguistic line of inquiry: how did different languages coexist in the same territory, and how did they interact productively?
This Iberian Medieval Thing
is a theoretical and historical meditation on contemporary forms of
convivencia
that transcends the coexistence of languages, religions, and cultures to address gender, race, and what David Nirenberg called
communities of violence
. The seminar will also foster a conversation from the perspective that the
Iberian thing
is not something exceptional, and that it is critical to expand the context of the Iberian peninsula and its cultural production. While dealing with translations, transactions, boundaries, networks, etc., we will immediately see the importance of understanding the
Ibernianness
of cultures around and beyond the Iberian Peninsula.
Throughout the semester, we will discuss vernacular cultures and the concept of vernacularism, the challenges of competing languages, the politics of translation, Iberian Studies, Cultural Studies, the role of literature as well as transactions and boundaries.
This course provides a wide-ranging survey of conceptual foundations and issues in contemporary human rights. The course examines the philosophical origins of human rights, their explication in the evolving series of international documents, questions of enforcement, and current debates. It also explores topics such as women's rights, development and human rights, the use of torture, humanitarian intervention, and the horrors of genocide. The broad range of subjects covered in the course is intended to assist students in honing their interests and making future course selections in the human rights field.
Examines questions of political economy and politics through the study of colonial regimes of power and knowledge, exploring the genealogy of modern forms of property, law, finance, debt, administration, and violence. Intended primarily for Ph.D. students interested in interdisciplinary approaches to the study of politics, political economy, and world history.
This course explores twin phenomena: 1) the socio-cultural organization of the institutions of science and medicine and 2) the ways in which the biosciences and biomedicine have come to organize the social world. The understanding that science and its medical applications are central to contemporary societies-and indeed are transforming our social landscapes-will underlie our exploration. Themes discussed included medical inequality; biological citizenship; health social movements; race and health; scientific epistemology; genetics and genomics; and the "politics of life itself.
Prerequisites: this course is intended for sociology Ph.D. and SMS students. No others without the instructor's written permission.
Foundational sources and issues in sociological theory: Adam Smith, Marx, Durkheim, Weber, Simmel, Mead, Mauss, others; division of labor, individualism, exchange, class and its vicissitudes, social control, ideas and interests, contending criteria of explanation and interpretation.
This course will introduce students to several lines of research in the sociology of law. Students will develop a familiarity with this research that allows them to identify the legal foundations of any aspect of social life. They will also learn to compare and contrast different perspectives on and theoretical approaches to understanding the social dimensions of law. By the end of the course, students should be able to identify areas of research in the sociology of law that are ripe for development.
Required of all incoming sociology doctoral students. Prepares students who have already completed an undergraduate major or its equivalent in some social science to evaluate and undertake both systematic descriptions and sound explanations of social structures and processes.
This course will survey the existing literature on the importance of Tibetan Buddhism as a religious ideology that was central to late imperial efforts at making China a multi-ethnic state. This ideology has served to link China with Tibetan and Mongolia regions of Inner Asia-through the imperial center at Beijing-for over seven hundred years.
Prerequisites: (MATH UN2030) and (MECE E3100) MATH V2030 and MECE E3100.
Eulerian and Lagrangian descriptions of motion. Stress and strain rate tensors, vorticity, integral and differentialequations of mass, momentum, and energy conservation. Potential flow.
Prerequisites: Completion of year 1 of the graduate program in Sociology. Sociology PhD students from year 2 onward only.
Writing research articles for journals is a lot of intellectual fun … but it’s also a rather demanding craft. This seminar prepares you for the challenge. It will help you to find an interesting question, a way to answer it, and a mode of communicating this to fellow sociologists in a way that they might find worth paying attention to. (Even) more pragmatically, the goal of this year-long seminar is to help you writing a quantitative research paper that will ultimately be suitable for presentation at a conference and submission to a journal, building valuable research and professional skills and, in many cases, providing you with a jump-start for your dissertation research.
As crucial milestones in the process, you will:
• Develop a theoretical argument that motivates hypotheses
• Identify a data set that can be used to test those hypotheses
• Format and analyze the data to draw conclusions about your hypotheses
• Interpret your results
• Present your argument and findings in a precise and compelling narrative form
In short, the course is partly about theory, and how it can be used to specify hypotheses and measures; partly about methods, and how data can be analyzed appropriately to test hypotheses; and partly about the craft of sociological writing, and how good writing can be used to make a clear and compelling case for your research.
Students entering their second year of graduate school are expected to be familiar with the main theoretical traditions in Sociology, have developed areas of substantive interest, be acquainted with the basic methodology of the social sciences, have an applied knowledge of statistical techniques, and be familiar with datasets they could possibly work with. The “Empirical seminar” is not intended to offer training in any of these areas—and this particular instructor’s capacity to provide advise on statistical techniques is rather limited indeed. Please consult with other faculty for more technical advice necessary to bring your research to fruition or make use of the statistical consulting service offered elsewhere at Columbia.
Major theories of religion and principal approaches to the study of religion.
Introduction to Historical Musicology: the history of the discipline, major areas of research, source materials, and methodological problems.
The central work of this seminar will be a slow and attentive reading of
Troilus and Criseyde
, using the entire semester. Each week, in addition, we will read and discuss a wide range of related materials, to include: theoretical strategies (especially the post-Lacanian notion of the neighbor), iconography and manuscript setting, genre affiliations (romance, historiography, philosophy), the broader Trojan narrative tradition, the medieval city, the medieval imagination of the antique past, earlier and later texts in dialogue with
Troilus
(Boethius, Ovid, Statius’
Thebaid
, Lydgate’s
Troy Book
and Henryson’s
Testament of Cresseid,
Spenser and Shakespeare), Troilus and Chaucer’s own textual past and future.
At the same time, the seminar will explore what recent theoretical statements about the neighbor and hospitality can bring to our reading of
Troilus
, both in terms of its place in a broad textual tradition, and in terms of its plot, urban setting, and thematics of intimacy. Readings will draw from Derrida, Kenneth Reinhard, Slavoj Zizek, and others. Toward this end, each student will select a “neighborly” text, from any period, to read with and against
Troilus
.
While the course will be relevant to medievalists, it is consciously designed equally to serve (and it is hoped, to attract) students from very different periods. Non-medievalists will be encouraged to draw upon their expertises (both in period and theoretical methodology). Course work by non-medievalists can focus on their own future work, either by writing on Troilus and Troy in later traditions, or by pedagogical presentations and essays.
Please feel free to contact me with any questions about the seminar:
cbaswell@barnard.edu
A seminar on the theory and practice of translation from the perspective of comparative diaspora studies, drawing on the key scholarship on diaspora that has emerged over the past two decades focusing on the central issue of language in relation to migration, uprooting, and imagined community. Rather than foregrounding a single case study, the syllabus is organized around the proposition that any consideration of diaspora requires a consideration of comparative and overlapping diasporas, and as a consequence a confrontation with multilingualism, creolization and the problem of translation. The final weeks of the course will be devoted to a practicum, in which we will conduct an intensive workshop around the translation projects of the student participants.
Prerequisites: Instructor's permission.
(Seminar). The seminar explores the place of Shakespeare in American literary culture from the Revolutionary War until the present day, with an emphasis on the 19th century.
This course will survey the history of Latin manuscript books and Latin scripts from late Antiquity to the early years of printing (4th -15th century). Students will study the questions that have driven the field of paleography since its inception, and the canonical history of the main scripts used in Western Europe through the end of the Middle Ages. We will consider the manuscript book as a physical artifact, in a codicological approach; and we will look at the production of books in their social and political settings. Students will develop practical skills in reading and transcription, and will begin to recognize the features that allow localization and dating of manuscripts. We will use original materials from the Rare Book and Manuscript Library whenever possible.
Corequisites: COMS W4180
The state of threats against computers, and networked systems. An overview of computer security solutions and why they fail. Provides a detailed treatment for Network and Host-based Intrusion Detection and Intrusion Prevention systems. Considerable depth is provided on anomaly detection systems to detect new attacks. Covers issues and problems in email (spam, and viruses) and insider attacks (masquerading and impersonation).
Prerequisites: Proficiency in Arabic required.
This graduate seminar is conducted entirely in Arabic sources. We will read various passages from the Qur’an in order to highlight the Qur’an’s moral imperatives about “living in” nature as well as about the generation of wealth and its distribution within the social order. We will then move on to examine the genre of
fiqh
(substantive law) with regard to the same themes, examining the moral structures of society in terms of the ethic of “spending.” Themes such as “making money,” building capital, charity, welfare, etc. will be examined in depth as constituting a system of checks-and-balances, through close readings of the concepts of
kasb, zakat, sadaqa, waqf,
etc.
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.
Prerequisites: (ENME E3332) or ENME E3332 or instructor's permission
A fluid infiltrating porous solid is a multiphase material whose mechanical behavior is significantly influenced by the pore fluid. Diffusion, advection, capillarity, heating, cooling, and freezing of pore fluid, buildup of pore pressure, and mass exhanges among solid and fluid constituents all influence the stability and integrity of the solid skeleton, causing shrinkage, swelling, fracture, or liquefaction. These coupling phenomena are important for numerous disciplines, including geophysics, biomechanics, and material sciences. Fundamental principles of poromechanics essential for engineering practice and advanced study on porous media. Topics include balance principles, Biot’s poroelasticity, mixture theory, constitutive modeling of path independent and dependent multiphase materials, numerical methods for parabolic and hyperbolic systems, inf-sup conditions, and common stabilization procedures for mixed finite element models, explicit and implicit time integrators, and operator splitting techniques for poromechanics problems.
Frametale narratives, the art of inserting stories within stories, in oral and written forms, originated in East and South Asia centuries ago; tales familiar to Europe, often called novellas, can trace their development from oral tales to transmitted Sanskrit and Pahlavi tales, as well as Arabic and Hebrew stories. Both Muslim Spain and Christian Spain served as the nexus between the East and Europe in the journey of translation and the creation of new works. Through readings and films, and employing the theoretical concepts of Homi Bhabha (liminality, hybridity, third space) and Etienne Balibar (frontiers and the nation), as well as selected readings of Fernand Braudel and others on the Mediterranean world, the course examines the structure, meaning, and function of ancient, medieval, and early modern frametale narratives, using as theoretical frame in three ways: 1) Theory and practice of frames. Frames are not neutral; they can be narrative seductions, guiding and even strongly manipulating how we read the stories that follow; they can be used to reflect the intersections of orality and literacy. In order to understand their enduring power, we also explore the idea of literary frames through some contemporary films. 2) The exploration in their cultural contexts of topics such as the literary figures of the anti-hero and the trickster, precursors to the picaresque, women in the courtroom, the conflict of chance and human agency, monstrous births as political prophecy, Christian, Muslim, and Jewish relations in medieval and early modern Mediterranean cultures, the sexual frankness of the novella form, and gender politics. 3) How are narratives formed? The course traces the development of the short tale/novella from its ancient Asian origins through the seventeenth century, when Cervantes' literary experiments gave new life to the novella form, and the Spanish writer María de Zayas challenged Cervantes' views on love and marriage in her own highly regarded collections of novellas; we move to the present with the study of three contemporary films. But before they became complex and entertaining narratives, many of the well known tales had their "bare bones" origins in joke books, laws and legal theories, conduct manuals, collections of aphorisms and other wise and pithy sayings, misogynist non-fiction writings, and Biblical stories. Although the works are available in English translations, lectures will refer to meanings in both English and the original languages; students who can read the original works in
Behind this project is a conviction that, for each of the important figures of what is now generally called “French Theory” (a label imported from U.S. Universities), the “May 68 events” in Paris (and elsewhere) represented a
surprise
and created an
interruption
in the course of their speculations and researches. This can be identified in some cases in the form of a “self-criticism”, in others as new collaborations and a shift in intellectual “alliances”, but above all in the form of a discovery of new objects and an invention of new terminologies. At stake would be, no doubt, a more direct way of interweaving the “conceptual” and the “political” in philosophy, but more profoundly the very notion of the political (whose traditional definitions, institutional or revolutionary, found themselves devalued in the course of the events), the representation of the “intellectual”, and what Deleuze later would call the “image of thought”. It is this change that we want to address in the seminar, by focusing on a selection of essays that can be read as a “reaction” to the event in the field of theory. They will be presented in the frame of
dialogic confrontations
around
three themes
:
1) “Discourse”
(Foucault and Lacan);
2) “Desire”
(Deleuze-Guattari, Irigaray and “Mouvement de Libération des Femmes”);
3) “Reproduction”
(Althusser and Bourdieu-Passeron).
This is a limited choice indeed, which nevertheless we hope may help elucidate how philosophers at the time
wrote in the conjuncture
.
Prerequisites:
W4525
(Instrumentation) and Orchestration and recommendation of Orchestration instructor for undergraduates. Graduate students (other than composition graduate students) must obtain the instructor's permission.
The Advanced Orchestration class explores orchestrational techniques under the light of our current knowledge of acoustics and sound analysis. It will focus on the late romantic era and on the 20th and 21st centuries. The most recent techniques (micro-tonality, extended instrumental techniques, electronics) will also be studied.
"A book of philosophy should in part be a kind of science fiction. How else can one write but of those things which one doesn't know, or knows badly? It is precisely there that we imagine having something to say. We write only at the frontiers of our knowledge, at the border which separates our knowledge from our ignorance and transforms the one into the other." -- Gilles Deleuze, Difference and Repetition.
Prerequisites: (ELEN E4411)
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.
Prerequisites: the instructor's permission.
(Seminar). This course aims to follow up on James's sense that English literature and society in the latter half of the nineteenth century had become newly preoccupied with secrecy, which nurtured habits of reading that we've come to call hermeneutics of suspicion. One broad explanation is the rise of "information culture": an ever-increasing accumulation of overlooked or unattended knowledge that became valuable through publication. The exposure of hidden or secret knowledge had especially pointed implications for personal identity: in a world of ever-increasing social mobility, efforts at self-fashioning were met by newly keen modes of scrutiny and surveillance, which sought out "deep" or compromising components of the self, the material of scandal. In this seminar we"ll explore this preoccupation with secrecy and scandal in two major Victorian cultural developments, sensation fiction and the rise of aestheticism. In sensation fiction, blackmail and exposure narratives underscored the alienation of personal identity into information -- legal records, correspondence, handwriting, even a birthmark -- whose appropriation by observers confounded the effort to escape from one's past. In aestheticism, art frequently was presented as an initiation into arcane or forbidden experience, in which the appeal to secrecy could be both a defensive mechanism and a means of soliciting and communicating with a like-minded but guarded audience. In connecting these two phenomena, we'll try to relate literary strategies of obliquity or indirection with social dynamics of secrecy and exposure.
Prerequisites: MECE E3401
Review of vibration analysis of systems and mechanisms with one degree of freedom. Natural frequencies. Forced vibrations. Effects of dry and vicious friction. Energy methods of Rayleigh and Ritz. Suppression and elimination of vibration. Vibration isolation. Measuring instruments. Critical speeds in machinery. Synchronous whirl. Half-frequency whirl. Influence of bearing characteristics on critical speeds. Effect of gyroscopic moments. Systems with multiple degrees of freedom. Dynamic vibration absorbers. Self-tuning absorbers of pendulum and roller types. Lagrangian equations of motion as applied in vibrating systems. General equations for transverse critical speeds of shafts. Surging of helical springs.
Animal studies has developed over the past decade as a major area of study across the humanities and social sciences. Some authors have asked about the co-evolution of humans and animals and others have questioned the ethics of using animals for experimentation in scientific labs. Others still question the carceral logics of pet-owning. The question of the animal inevitably raises the question of the human, and so philosophers such as Jacques Derrida and Giles Deleuze have used the indifference of the non-human animal to the human to theorize about consciousness, recognition and regard. Donna Haraway, on the other hand, has argued that humans and dogs are engaged in a mutual exercise of training and adapting, a set of practices that questions the centralization of the human within evolutionary narratives. Animal studies has also been the site for debates about human categories like race and gender and how they deploy the human-animal relation to make claims about barbarity, violence, civility and instinct.
Using a set of literary and cinematic texts, this graduate course will track the way we represent non-human animals in the modern period and what those representations imply about our unquestioned assumptions about sex, intimacy and embodiment. Bringing animals studies together with queer studies, critical race studies and decolonial knowledge, this course questions ultimately not the category of the animal but our investment in the human.
Prerequisites: (MATH UN2030)
A graduate-level introduction to classical and modern feedback control that does not presume an undergraduate background in control. Scalar and matrix differential equation models and solutions in terms of state transition matrices. Transfer functions and transfer function matrices, block diagram manipulations, closed loop response. Proportional, rate, and integral controllers, and compensators. Design by root locus and frequency response. Controllability and observability. Luenberger observers, pole placement, and linear-quadratic cost controllers.
Prerequisites: the instructor's permission.
In this year-long sequence students gain familiarity with the materials used in electroacoustic music and the techniques and equipment that are employed to transform and organize these materials into compositions. Individual projects are assigned.