Prerequisites:
MUSI V3321
or the equivalent.
Fulfills the requirement of the 3000-level advanced theory elective. This course was previously offered as V3360, Pre-Tonal and Tonal Analysis. Detailed analysis of selected tonal compositions. This course, for advanced undergraduates and beginning graduates, is intended to develop understanding of tonal compositions and of theoretical concepts that apply to them, through study of specific works in various forms and styles.
Prerequisites: ECON UN3211 and ECON UN3213 and STAT UN1201 or POLS 4710 for those who declared prior to Spring 2014.
The course studies the interaction between government and markets. The first part discusses market failures and the scope and limits of government intervention, including the use of modified market-type tools (for example, cap-and-trade regulations for pollution). The second part discusses collective decision-making, in particular voting and its properties and pathologies. The final part discusses economic inequality and government's role in addressing it.
The nature of opportunity in American society; the measurement of inequality; trends in income and wealth inequality; issues of poverty and poverty policy; international comparisons.
(Lecture). This course examines major British poets of the period 1789-1830. We will be focusing especially on the poetry and poetic theory of William Blake, William Wordsworth, Samuel Taylor Coleridge, Lord Byron, Percy Shelley, and John Keats. We will also be reading essays, reviews, and journal entries by such figures as Robert Southey, William Hazlitt, and Dorothy Wordsworth.
Prerequisites: Probability theory and linear programming.
This course is required for students in the Undergraduate Advanced Track.
Key measures and analytical tools to assess the financial performance of a firm and perform the economic evaluation of industrial projects and businesses. Deterministic mathematical programming models for capital budgeting. Concepts in utility theory, game theory and real options analysis.
The nineteenth century is considered the heyday of the novel. By the end of this course, you will understand why. Novels to be read: Jane Austen, Northanger Abbey; Charles Dickens, Oliver Twist; Charlotte Bronte, Jane Eyre; Anthony Trollope, Barchester Towers; Wilkie Collins, The Woman in White; George Eliot, Daniel Deronda; Bram Stoker, Dracula. Our goals in this course will be:
1) to discuss what these novels teach us about life;
2) to learn how to relate literary works to their historical circumstances;
3) to define the novel as a genre;
4) to explore the relationship between realism and counter-realisms (gothic, melodrama, sensation, fantasy, the supernatural);
5) to acquire a technical understanding of novelistic form by analyzing how novelists use point of view and narrative voice; construct character, delineate space, and represent time; and establish symmetries that give even the baggiest monsters coherence.
This course is a practicum, which has been designed to enable you to discuss major problems of contemporary Brazil with important political figures, business representatives, activists and analysts. Normally the guest speaker will make an opening statement of approximately 40 minutes and the rest of the time will be devoted to a discussion. Guest speakers may recommend one or two articles or documents they have written, or that they think are particularly relevant, for the policy issues they will discuss.
Christopher Columbus was the first European to visit Puerto Rico in 1493 claiming it for Spain. Four centuries later, in 1898, Spain ceded it to the United States as war bounty of the Spanish American War. The course will review Puerto Rico before the US invasion and its unique culture
integrated by the native Indian, Negro and white races. It will also address why the United States was interested in controlling the Caribbean. Once the US invaded Puerto Rico, were the US soldiers welcomed by the local citizens? Was Puerto Rico destined to become a State of the Union, like other acquired territories? Were Puerto Ricans eager to become a State? How was the relationship between Puerto Rico and the United States during the first decades of the Twentieth Century? Why was the US citizenship imposed on Puerto Ricans in 1917 and what was the reception in Puerto Rico?
Prior to the SIPA orientation, MPA-DP students participate in a week-long intensive program called "Getting Started." The program introduces students to the MPA-DP program, including skills and resources that lay the foundation for a successful graduate learning experience.
Prerequisites: (ENME E3105) or (ENME E3106) or ENME 3105 or equivalent, recommended: ENME 3106 or equivalent
Automobile dynamic behavior is divided into three subjects: vehicle subsystems, ride, and handling. Vehicle subsystems include: tire, steering, mechanisms, suspensions, gearbox, engine, clutch, etc. Regarding ride, vibrations and ride comfort are analyzed, and suspension optimization of a quarter car model is treated. Regarding handling, vehicle dynamic behavior on the road is analyzed, with emphasis on numerical simulations using planar as well as roll models.
Prerequisites: (APMA E2101) and (ELEN E3801) or instructor's permission.
Corequisites: EEME E3601
Generalized dynamic system modeling and simulation. Fluid, thermal, mechanical, diffusive, electrical, and hybrid systems are considered. Nonlinear and high order systems. System identification problem and Linear Least Squares method. State-space and noise representation. Kalman filter. Parameter estimation via prediction-error and subspace approaches. Iterative and bootstrap methods. Fit criteria. Wide applicability: medical, energy, others. MATLAB and Simulink environments.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) and (CSEE W3827)
Hands-on introduction to solving open-ended computational problems. Emphasis on creativity, cooperation, and collaboration. Projects spanning a variety of areas within computer science, typically requiring the development of computer programs. Generalization of solutions to broader problems, and specialization of complex problems to make them manageable. Team-oriented projects, student presentations, and in-class participation required.
There is wide evidence that the war against drugs has had limited results and great unintended consequences: It has been a major contributor to violence and crime in the region, generating great economic loss, corruption in political elites and important development dilemmas in peripheral regions where the presence of the state was been historically very limited. The objective of the course is to explore the conditions and consequences of organized crime in the region, relations between drug- traffic and counter-insurgencies, and the origins and operations of transnational gangs. We will also analyze the effect of drug-trafficking in the behavior of political elites, in the capacity of the state to face and the consequences for government corruption and victimization of the justice system.
This course will read recent scholarship on migration and citizenship (with some nod to classic works); as well as theoretical work by historians and social scientists in the U.S. and Europe on the changing conceptual frameworks that are now shaping the field. The first half of the course will read in the literature of U.S. immigration history. The second half of the course is comparative, with readings in the contexts of empire, colonialism and contemporary refugee and migration issues in the U.S. and Europe.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) or the instructor's permission.
Team project centered course focused on principles of planning, creating, and growing a technology venture. Topics include: identifying and analyzing opportunities created by technology paradigm shifts, designing innovative products, protecting intellectual property, engineering innovative business models.
Prerequisites: ECON UN3211 and ECON UN3213
Types of market failures and rationales for government intervention in the economy. Benefit-cost analysis and the theory of public goods. Positive and normative aspects of taxation. The U.S. tax structure.
Prerequisites: (ELEN E3401) equivalent.
Introduction to optical systems based on physical design and engineering principles. Fundamental geometrical and wave optics with specific emphasis on developing analytical and numerical tools used in optical engineering design. Focus on applications that employ optical systems and networks, including examples in holographic imaging, tomography, Fourier imaging, confocal microscopy, optical signal processing, fiber optic communication systems, optical interconnects and networks.
Students conduct research related to biotechnology under the sponsorship of a mentor
within
the University. The student and the mentor determine the nature and extent of this independent study. In some laboratories, the student may be assigned to work with a postdoctoral fellow, graduate student or a senior member of the laboratory, who is in turn supervised by the mentor. The mentor is responsible for mentoring and evaluating the student's progress and performance. Credits received from this course may be used to fulfill the laboratory requirement for the degree. Instructor permission required. Web site:
http://www.columbia.edu/cu/biology/courses/g4500-g4503/index.html
Prerequisites: ECON UN3211 and ECON UN3213
The theory of international trade, comparative advantage and the factor endowments explanation of trade, analysis of the theory and practice of commercial policy, economic integration. International mobility of capital and labor; the North-South debate.
Prerequisites: the instructor's permission.
A progressive course in transcribing, proceeding from single lines to full scale sections and ensembles. Stylistic analysis based on new and previously published transcriptions.
Students conduct research related to biotechnology under the sponsorship of a mentor
outside
the University within the New York City Metropolitan Area unless otherwise approved by the Program. The student and the mentor determine the nature and extent of this independent study. In some laboratories, the student may be assigned to work with a postdoctoral fellow, graduate student or a senior member of the laboratory, who is in turn supervised by the mentor. The mentor is responsible for mentoring and evaluating the student's progress and performance. Credits received from this course may be used to fulfill the laboratory requirement for the degree. Instructor permission required. Web site:
http://www.columbia.edu/cu/biology/courses/g4500-g4503/index.html
Prerequisites:
CHNS W3302
or the equivalent.
Admission after placement exam. Focusing on Tang and Song prose and poetry, introduces a broad variety of genres through close readings of chosen texts as well as the specific methods, skills, and tools to approach them. Strong emphasis on the grammatical and stylistic analysis of representative works. CC GS EN CE
Prerequisites: (BIOL UN2005) and (BIOL UN2006) and (BMEN E4001) and (BMEN E4002)
An introduction to the strategies and fundamental bioengineering design criteria behind the development of cell-based tissue substitutes. Topics include biocompatibility, biological grafts, gene therapy-transfer, and bioreactors.
Prerequisites: Basic programming experience in any language.
This course will cover fundamental and advanced topics in evolutionary algorithms and their application to open-ended optimization and computational design. Covers genetic algorithms, genetic programming, and evolutionary strategies, as well as governing dynamics of co-evolution and symbiosis. Includes discussions of problem representations and applications to design problems in a variety of domains including software, electronics, and mechanics.
Please see department for details.
updating...
Prerequisites:
JPNS W4007
or the equivalent.
Introduction to the fundamentals of reading Chinese-style Japanese and related forms, using literary and historical texts. CC GS EN CE GSAS
Prerequisites: extensive musical background.
Analysis of instrumentation, with directional emphasis on usage, ranges, playing techniques, tone colors, characteristics, interactions and tendencies, all derived from the classic orchestral repertoire. Topics will include theoretical writings on the classical repertory as well as 20th century instrumentation and its advancement. Additional sessions with live orchestral demonstrations are included as part of the course.
Acclaimed in his time as one of the most promising painters of his generation, but also criticized for the haste of his working method and his eccentricity, Jacopo Tintoretto is among the most complex and intriguing figures of Italian sixteenth century painting. The seminar will reconsider the singularity of Tintoretto's processes of creation in the light of his productive workshop organization and practice, according a special attention to the role of his son Domenico and his daughter Marietta.
Prerequisites: One year of general college chemistry.
Fundamentals of heterogeneous catalysis including modern catalytic preparation techniques. Analysis and design of catalytic emissions control systems. Introduction to current industrial catalytic solutions for controlling gaseous emissions. Introduction to future catalytically enabled control technologies.
Prerequisites: (IEOR E2261)
This course is required for undergraduate students majoring in OR:EMS.
Introduce basic concepts and methodologies that are used by the nonengineering part of the world in creating, funding, investing in, relating to, and operating entrepreneurial ventures. The first half of the course focuses on the underpinning principles and skills required in recognizing, analyzing, evaluating, and nurturing a business idea.The second half focuses on basic legal knowledge necessary in creating a business entity, defending your business assets, and in promoting effective interaction with other individuals and organizations.
In this seminar, we will develop an understanding of major social trends affecting neighborhoods and communities, explore key concepts through which sociologists investigate cities and urban settings, become familiar with key theoretical debates on neighborhood effects and urban poverty, and hopefully apply concepts and methods from the course to your research project.
The term “intersectional feminism” has seen renewed currency in the last year or so, but the methodologies and theories of intersectional feminisms have a much longer history. Kimberlé Crenshaw first theorized “intersectional feminism” as a critical framework in the 1990s. Crenshaw’s initial formation, however (as she herself has recognized), was conversant with a longer history of woman-of-color, transnational, and postcolonial feminisms. This seminar focuses on historicizing and examining contemporary literature through an intersectional approach that combines woman-of-color feminisms, transnational and global feminisms, postcolonial studies, queer studies, and disability studies. How do these texts imagine these crossings? What possible complexities, conflicts, or coalitions emerge? Since formal innovation has long been critical to foundational work in gender and sexuality studies scholars and writers, who often weave together art, practice, and politics, we will read theory as literature and literature as theory, and we will closely analyze links between intersectional feminisms and form, aesthetics, and genre.
Examines interpretations and applications of the calculus of probability including applications as a measure of degree of belief, degree of confirmation, relative frequency, a theoretical property of systems, and other notions of objective probability or chance. Attention to epistimological questions such as Hume's problem of induction, Goodman's problem of projectibility, and the paradox of confirmation.
This seminar examines the history of the radical left in the United States from the Revolutionary era to the present. Readings treat influential individuals, organizations, intellectual currents, and social movements on the left with an attention to their relationship to prevailing understandings of American citizenship, personal fulfillment and equality. After exploring early forms of artisans´ and workingmen´s radicalism, as well as the antebellum abolitionist and women´s rights movement, we will focus on the development and the fate of the modern left--from the Populist, labor, anarchist, socialist, and Communist movements through the African-American freedom struggle, radical pacifism and the New Left of the 1960s, feminism, the religious left, union democracy movements and beyond. We will try to understand the aspirations and ideas, forms of organization and activism, relations to mainstream politics and state authority, successes and failures in each of these cases.
Prerequisites: Must be registered in one of the MS IEOR Programs
This course, “Introduction to Corporate Finance, Accounting and Investment Banking”, previously called “Quantitative Corporate Finance”, is designed for students considering working in Investment Banking or in the Finance department of a Corporation, and who have limited knowledge of Corporate Finance or Accounting. , This course will review the primary financial theories and alternative theories underlying Corporate Finance, such as CAPM, Miller Modigliani, Fama French factors, Smart Beta, etc. By completing this course, you will gain the core skills to interpret financial statements, build cash flow models, value projects, value companies, and make Corporate Finance decisions. , Among the topics covered: the cost of capital, dividend policy, debt policy, the impact of taxes, Shareholder / Debtholder agency costs, dual-class shares, and how option pricing theory can be used to analyze management behavior. We will study the application of theory in real-world situations by analyzing the financial activities of companies such as General Electric, Google, Snapchat, Spotify and Tesla. In addition, you will learn about a variety of investment banking activities, including equity underwriting, syndicated lending, venture capital, private equity investing and private equity secondaries.
We’ll trace the remarkable developments of the novel form in the U.S, from the decade after the Revolution (when Americans first begin to write long prose fictions) to the decade before the Civil War (when the American novel claimed its ascent to literary Art). All along the way, we will be reading “novels,” yes, but it will quickly become apparent how varied a thing this noun actually names; we’ll read a broad range of the novel’s different modes (the epistolary novel, the novel of seduction, the gothic, the historical novel, sentimental-domestic fiction, the Romance). We begin in the 1780s, when the American novel is just trying to find its feet, and yet sees itself as having a profound political duty to serve the national interest. Even fictional writings about sexual conduct—the seduction novels with which we begin the course—charged themselves with this grave nationalist purpose. We then follow the form through the early nineteenth century, as it becomes obsessed with the topics of race and violence that threaten to destroy the young nation. As strange as it may sound, these novelists seemed to believe that they could resolve massive real-world crises, particularly those surrounding slavery and white-Indian conflicts over land ownership, in fictional terms. We end in the 1850s, when American novels instead began to insist on their separateness and autonomy from poltics and the world as it is, boasting of their ability to transcend everyday life to achieve “Literature” with a capital L. We thus spend the last month of the course with the widely advertised literary masterworks of Nathaniel Hawthorne and Herman Melville, asking ourselves how the novel had progressed from an openly didactic form of social consciousness to a species of writing that could open a world of sublime aesthetic experience. Readings will include works by: Hannah Webster Foster (
The Coquette
), Charles Brockden Brown (
Edgar Huntly
), James Fenimore Cooper (
The Last of the Mohicans
), Harriet Beecher Stowe (
Uncle Tom’s Cabin
), Martin Delany (
Blake
), Nathaniel Hawthorne (
The Scarlet Letter
), and Herman Melville (
Moby-Dick
and “Benito Cereno”).
Bioethics grapples with some of the most charged issues of our contemporary moment: where life begins and ends, the definition of personhood, the role of technology in creating, shaping, and sustaining human life, the significance of genetic information, the scientific basis of race and gender, allocation of medical resources, relations among doctors, scientists, patients, and families. Although these issues concern us all, they tend to be debated by select groups of specialists, favoring the perspectives of philosophers, doctors, scientists, and clinicians. This course offers an alternative by considering bioethical questions through the lens of consumers, patients, research subjects, family members and caregivers. Rather than privileging the “case study,” a genre that provides the clinician’s view of the bioethical scenario, we will focus on stories, asking how narrative provides new insight and bring attention to previously unrepresented points of view. Each week, narratives in film and print will be paired with critical readings that highlight the bioethical issues at stake.
(Lecture). The course will provide a trans-atlantic comparative perspective on the emergent world of urban modernity and mass market capitalism, including the pleasures and perils of city life--department stores, prostitution, hotels, railway cars. In addition to some of the great American novelists after the Civil War--Henry James,Stephen Crane, Frank Norris, Theodore Dreiser, Edith Wharton--we will also read the great French novelist Emile Zola and Georg Simmel, the Berlin theorist of urban phenomenology.
Prerequisites: Manufacturing process, computer graphics, engineering design, mechanical design.
General review of product development process; market analysis and product system design; principles of design for manufacturing; strategy for material selection and manufacturing process choice; component design for machining; casting; molding; sheet metal working and inspection; general assembly processes; product design for manual assembly; design for robotic and automatic assembly; case studies of product design and improvement.
Prerequisites: Introductory course on manufacturing processes, and heat transfer, knowledge of engineering materials, or the Instructor's permission.
Principles of nontraditional manufacturing, nontraditional transport and media. Emphasis on laser assisted materials processing, laser material interactions with applications to laser material removal, forming, and surface modification. Introduction to electrochemical machining, electrical discharge machining and abrasive water jet machining.
Prerequisites: the instructor's permission; some basic knowledge of social psychology is desirable.
A comprehensive examination of how culture and diversity shape psychological processes. The class will explore psychological and political underpinnings of culture and diversity, emphasizing social psychological approaches. Topics include culture and self, cuture and social cognition, group and identity formation, science of diversity, stereotyping, prejudice, and gender. Applications to real-world phenomena discussed.
Prerequisites: (IEOR E4700)
This course is required for undergraduate students majoring in OR:FE.
Characteristics of commodities or credit derivatives. Case study and pricing of structures and products. Topics covered include swaps, credit derivatives, single tranche CDO, hedging, convertible arbitrage, FX, leverage leases, debt markets, and commodities.
Michel Foucault was a great historian and critic who helped change the ways research and criticism are done today – a new ‘archivist’. At the same time, he was a philosopher. His research and criticism formed part of an attempt to work out a new picture of what it is to think, and think critically, in relation to Knowledge, Power, and Processes of Subjectivization. What was this picture of thought? How did the arts, in particular the visual arts, figure in it? How might they in turn give a new image of Foucault’s kind of critical thinking for us today? In this course, we explore these questions, in the company of Deleuze, Agamben, Rancière and others thinkers and in relation to questions of media, document and archive in the current ‘regime of information’. The Seminar is open to students in all disciplines concerned with these issues.
This course is designed to introduce contemporary children’s rights issues and help students develop practical advocacy skills to protect and promote the rights of children. Students will explore case studies of advocacy campaigns addressing issues including juvenile justice, child labor, child marriage, the use of child soldiers, corporal punishment, migration and child refugees, female genital mutilation, and LBGT issues affecting children. Over the course of the semester, students will become familiar with international children’s rights standards, as well as a variety of advocacy strategies and avenues, including use of the media, litigation, and advocacy with UN, legislative bodies, and the private sector. Written assignments will focus on practical advocacy tools, including advocacy letters, op-eds, submissions to UN mechanisms or treaty bodies, and the development of an overarching advocacy strategy, including the identification of goals and objectives, and appropriate advocacy targets and tactics.
Along with Darwin, Marx, Nietzsche and Freud have radically altered what and how we know; about humans, language, history, religion, things and life. Because their thought has shaped our sense of ourselves so fundamentally, Michel Foucault has referred to these three authors as discourse-founders. As such they will be treated in this class. Special attention will be paid to the affinities and competition among their approaches. Secondary sources will be subject to short presentations (in English) of those students capable of reading German.
Prerequisites: ECON UN3211 and ECON UN3213 and STAT UN1201
This course uses economic theory and empirical evidence to study the causes of financial crises and the effectiveness of policy responses to these crises. Particular attention will be given to some of the major economic and financial crises in the past century and to the crisis that began in August 2007.
Provides students of political science with a basic set of tools needed to read, evaluate, and contribute in research areas that increasingly utilize sophisticated mathematical techniques. , NOTE: This course does
not
satisfy the Political Science Major/Concentration research methods requirement.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) and any course on probability. Prior knowledge of Python is recommended.
Provides a broad understanding of the basic techniques for building intelligent computer systems. Topics include state-space problem representations, problem reduction and and-or graphs, game playing and heuristic search, predicate calculus, and resolution theorem proving, AI systems and languages for knowledge representation, machine learning and concept formation and other topics such as natural language processing may be included as time permits.
(Lecture). This course investigates plays that treat historical themes as well as theories of historical and documentary drama. We will consider each playwright's sources and techniques, the historical conditions of each play's first production, and the play's reception history. We will also consider certain suggestive resonances between the disciplines of theatre and history. Plays by Aeschylus, Cervantes, Lope de Vega, Marlowe, Shakespeare, Ford, Schiller, Goethe, Büchner, Shaw, Brecht, Weiss, Churchill, Parks, and others.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) or the instructor's permission.
Computational approaches to natural language generation and understanding. Recommended preparation: some previous or concurrent exposure to AI or Machine Learning. Topics include information extraction, summarization, machine translation, dialogue systems, and emotional speech. Particular attention is given to robust techniques that can handle understanding and generation for the large amounts of text on the Web or in other large corpora. Programming exercises in several of these areas.
Prerequisites: (IEOR E4701) and (IEOR E4702) and linear algebra.
This graduate course is only for MS Program in FE students, offered during the summer session.
Discrete-time models of equity, bond, credit, and foreign-exchange markets. Introduction to derivative markets. Pricing and hedging of derivative securities. Complete and incomplete markets. Introduction to portfolio optimization, and the capital asset pricing model.
Against the backdrop of dizzying advances in technology, an array of newly emerging social and political forces, and an unprecedented wave of invention across the arts, the first decades of the twentieth century witnessed a series of dramatic innovations in the novel form. This course examines some of the most compelling representatives of this transformation from Britain and its empire. Close examination of these texts’ formal intricacies will be complemented by attention to the history and theory of prose fiction and to intellectual, artistic, and other historical developments these works address. Authors studied may include Joseph Conrad, James Joyce, Rebecca West, E. M. Forster, Virginia Woolf, Elizabeth Bowen, Raja Rao, George Lamming, and Samuel Beckett.
Prerequisites: IEOR E4700: Introduction to Financial Engineering, additional pre-requisites will be announced depending on offering.
Selected topics of interest in the area of quantitative finance. Offerings vary each year; some topics include: Energy Derivatives, Experimental Finance, Foreign Exchange and Related Derivative Instruments, Inflation Derivatives, Hedge Fund Management, Modeling Equity Derivatives in Java, Mortgage-backed Securities, Numerical Solutions of Partial Differential Equations, Quantitative Portfolio Management, Risk Management, Trade and Technology in Financial Markets.
Prerequisites: one page applications stating a student's interest and background (if any).
How do Tibetan Buddhists look at religious images? What do pilgrims see when faced with sacred monuments? This seminar will explore the ubiquitous role of images and imagining in the religious traditions of Tibet. Historians of material culture argue that restricting our studies to textual sources limits our ability to understand the past experiences of the majority of people. They have developed methods and theories for "reading" objects to access the past. One of the most important techniques for this approach is the writing of "object biographies," which will play an important role in this course. Readings and viewings will examine the painting, sculpture, architecture, and performing arts of the Tibet, placing them in the context of local religious beliefs, ritual practices, and literary canons. The seminar aims to understand how Tibetan culture produce images and materials and the ways of seeing that invest them with meaning. Classes will address specific modes of visual representation, the relationships between text and image, the social lives of images, as well as processes of reading and interpretation. Later sections will survey broader visual representations of the Himalaya, both as self-reflections and in the imagination of the western gaze.
Prerequisites: Fundamentals of calculus, linear algebra, and C programming. Students without any of these prerequisites are advised to contact the instructor prior to taking the course.
Introductory course in computer vision. Topics include image formation and optics, image sensing, binary images, image processing and filtering, edge extraction and boundary detection, region growing and segmentation, pattern classification methods, brightness and reflectance, shape from shading and photometric stereo, texture, binocular stereo, optical flow and motion, 2D and 3D object representation, object recognition, vision systems and applications.
Prerequisites: (IEOR E4701) and (IEOR E4707)
Introduction to quantitative modeling of credit risk, with a focus on the pricing of credit derivatives. Focus on the pricing of single-name credit derivatives (credit default swaps) and collateralized debt obligations (CDOs). Details topics include default and credit risk, multiname default barrier models and multiname reduced form models.
Prerequisites: (IEOR E4700)
Introduction and application of various computational techniques in pricing derivatives and risk management. Transform techniques, numerical solutions of partial differential equations (PDEs) and partial integro-differential equations (PIDEs) via finite differences, Monte-Carlo simulation techniques, calibration techniques, and parameter estimation and filtering techniques. The computational platform will be Java/C++. The primary application focus will be pricing of financial derivatives and calibration. These techniques are useful for various other problems in financial modeling and practical implementations from the theory of mathematical finance.
Prerequisites: (COMS W3134 or COMS W3136COMS W3137)
Introduction to robotics from a computer science perspective. Topics include coordinate frames and kinematics, computer architectures for robotics, integration and use of sensors, world modeling systems, design and use of robotic programming languages, and applications of artificial intelligence for planning, assembly, and manipulation.
Prerequisites: (IEOR E4700)
Conceptual and practical understanding of structured and hybrid products from the standpoint of relevant risk factors, design goals and characteristics, pricing, hedging and risk management. Detailed analysis of the underlying cash-flows, embedded derivative instruments and various structural features of these transactions, both from the investor and issuer perspectives, and analysis of the impact of the prevailing market conditions and parameters on their pricing and risk characteristics. Numerical methods for valuing and managing risk of structured/hybrid products and their embedded derivatives and their application to equity, interest rates, commodities and currencies, inflation and credit-related products. Conceptual and mathematical principles underlying these techniques, and practical issues that arise in their implementations in the Microsoft Excel/VBA and other programming environments. Special contractual provisions often encountered in structured and hybrid transactions, and attempt to incorporate yield curves, volatility smile, and other features of the underlying processes into pricing and implementation framework for these products.
Prerequisites: Knowledge of a relevant research language (Arabic, Persian, or Ottoman Turkish) is required to be able to work on a particular manuscript to be chosen by the student. Students who lack the necessary skills of any of these languages but are interested in pre-modern book culture are still encouraged to contact the course instructor.
This course studies the material, textual, and institutional characteristics of the Islamic manuscript culture from the 9
th
to the 19
th
century and before the widespread adoption of print technology. The course will be run as a seminar with discussion of primary and secondary sources drawn from library and information science, history, area studies, and art history. One important component of the course will be the hands-on practice with select examples from the rich Islamic manuscript collection of the Columbia University’s Rare Book and Manuscript Library. Concerning this firsthand experience, the course aims to contribute to the
Manuscripts of the Muslim World
project, a grant-funded initiative between Columbia University, the University of Pennsylvania, and the Free Library of Philadelphia. To this end, participants of this course will be expected to contribute to the generation of descriptive metadata for manuscripts in Arabic, Persian, and Turkish from the collections of the Columbia University Libraries.
Prerequisites: Any introductory course in linear algebra and any introductory course in statistics are both required. Highly recommended: COMS W4701 or knowledge of Artificial Intelligence.
Topics from generative and discriminative machine learning including least squares methods, support vector machines, kernel methods, neural networks, Gaussian distributions, linear classification, linear regression, maximum likelihood, exponential family distributions, Bayesian networks, Bayesian inference, mixture models, the EM algorithm, graphical models and hidden Markov models. Algorithms implemented in MATLAB.
Anglo-Saxon England was a political fiction, an imagined community of a single, distinct nation unified in identity by descent and religion that proved useful justification for rulers with expansionist aspirations and conquerors alike, but also for religious communities. This course will explore how authors of early Medieval England exploited history and literature to define social identities and make claims about their present moment through a range of materials, including vernacular poetry, chronicles, law, saints’ lives, and homilies.
English translations of the Bible from Tyndale to the present.
Prerequisites: Two years of Sanskrit or the instructor's permission.
Prerequisites: Two years of Sanskrit or the instructor's permission. The two levels of advanced Sanskrit, which introduce students to philosophy or literature, are given in alternate years. In 2018-2019 philosophical texts will be treated. Close reading of major works, exploring both philological and philosophical issues. No P/D/F or R credit is allowed for this class.
Since the decade of 1980s, the region of South Asia has become alarmingly visible in the Western academia and media due to increasing religio-ethnic militancy in national and regional politics. Among the traditionally identified list of the South Asian states
(India, Bangladesh, Pakistan, Sri Lanka, Nepal Bhutan, Maldives)
, Pakistan stands distinct due to its peculiar colonial and postcolonial history, tumultuous domestic politics, civil-military tensions, extremist tendencies in religion, and making and breaking of international alliances. Pakistan is the second largest Muslim nation and the sixth most populous country in the world. Entangled in multiple political, economic, and social conflicts, the citizens of the country are likewise engaged in multiple struggles for re-imagining identity, resistance, and survival. , This course will situate Pakistan in the context of modern South Asia, and examine its colonial and postcolonial experiences, diverse domestic struggles and challenges from a historical perspective.
Major cultural, political, social, economic and literary issues in the history of this 500-year long period. Reading and discussion of primary texts (in translation) and major scholarly works. All readings will be in English.
China’s transformation under its last imperial rulers, with special emphasis on economic, legal, political, and cultural change.
The social and cultural history of Chinese religion from the earliest dynasties to the present day, examined through reading of primary Chinese religious documents (in translation) as well as the work of historians and anthropologists. Topics include: Ancestor worship and its changing place in Chinese religion; the rise of clergies and salvationist religion; state power, clerical power, and lay power; Neo-Confucianism as secular religion; and the modern "popular religious" synthesis.
The course is part of the program's offerings in experiential learning. Students will engage in an applied research project with an NGO partner focused on the role of UN Special Rapporteurs and the strategies they employ. Students will become familiar with the intricacies of the UN human rights system, while also taking a bird's-eye view on the system, its challenges and the need for reform, The course seeks to combine critical reflection with practical application, including through the perspectives of practitioners and guest speakers who discuss their strategies for advocacy.
Prerequisites: the instructor's permission.
Topics chosen in consultation between members of the staff and students.
Prerequisites: LING UN3101
Syntax - the combination of words - has been at the center of the Chomskyan revolution in Linguistics. This is a technical course which examines modern formal theories of syntax, focusing on later versions of generative syntax (Government and Binding) with secondary attention to alternative models (HPSG, Categorial Grammar).
For more than forty years, second language acquisition (SLA) has been emerging as an independent field of inquiry with its own research agenda and theoretical paradigms. The study of SLA is inherently interdisciplinary, as it draws on scholarship from the fields of linguistics, psychology, education, and sociology. This course explores how Chinese is acquired by non-native speakers. Students will learn about general phenomena and patterns during the process of acquiring a new language. They will become familiar with important core concepts, theoretical frameworks, and research practices of the field of SLA, with Chinese as the linguistic focus.
Prerequisites: four years of college Russian or the equivalent.
Workshop in literary translation from Russian into English focusing on the practical problems of the craft. Each student submits a translation of a literary text for group study and criticism. The aim is to produce translations of publishable quality.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Registration information is posted on the department's Seminar Sign-up webpage.
Selected topics in microeconomics. Selected topics will be posted on the department's webpage.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Registration information is posted on the department's Seminar Sign-up webpage.
Selected topics in microeconomics. Selected topics will be posted on the department's webpage.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Registration information is posted on the department's Seminar Sign-up webpage.
Selected topics in macroeconomics. Selected topics will be posted on the department's webpage.
The course will explore the often-contested terrain of urban contexts, looking at cities fron architectural, sociological, historical, and political positions. What do rights have to do with the city? Can the ancient idea of a "right to the city" tell us something fundamental about both rights and cities? Our notion of citizenship is based in the understanding of a city as a community, and yet today why do millions of people live in cities without citizenship? The course will be organized thematically in order to discuss such issues as the consequences of cities' developments in relation to their peripheries beginning with the normative idea of urban boundaries deriving from fortifying walls, debates around the public sphere, nomadic architecture and urbanism, informal settlements such as slums and shantytowns, surveillance and control in urban centers, refugees and the places they live, catastrophes natural and man-made and reconstruction, and sovereign areas within cities the United Nations, War Crimes Tribunals. At the heart of our inquiry will be an investigation of the ways in which rights within urban contexts are either granted or withheld.
Science and technology of conventional and advanced microfabrication techniques for electronics, integrated and discrete components. Topics include diffusion; ion implantation, thin-film growth including oxides and metals, molecular beam and liquid-phase epitaxy; optical and advanced lithography; and plasma and wet etching.
Prerequisites: the instructor's permission. Please e-mail the instructor at
bc14@columbia.edu
.
This course will examine the tension between two contradictory trends in world politics. On the one hand, we have emerged from a century that has seen some of the most brutal practices ever perpetrated by states against their populations in the form of genocide, systematic torture, mass murder and ethnic cleansing. Many of these abuses occurred after the Holocaust, even though the mantra "never again" was viewed by many as a pledge never to allow a repeat of these practices. Events in the new century suggest that these trends will not end anytime soon. At the same time, since the middle of the twentieth century, for the first time in human history there has been a growing global consensus that all individuals are entitled to at least some level of protection from abuse by their governments. This concept of human rights has been institutionalized through international law, diplomacy, international discourse, transnational activism, and the foreign policies of many states. Over the past two decades, international organizations, non-governmental organizations, and international tribunals have gone further than any institutions in human history to try to stem state abuses. This seminar will try to make sense of these contradictions.
The rapid democratization of technology has led to a new wave of immersive storytelling that spills off screens into the real world and back again. These works defy traditional constraints as they shift away from a one-to-many to a many-to-many paradigm, transforming those formerly known as the audience from passive viewers into storytellers in their own right. New opportunities and limitations offered by emergent technologies are augmenting the grammar of storytelling, as creators wrestle with an ever-shifting digital landscape.
New Media Art pulls back the curtain on transmedial works of fiction, non-fiction, and emergent forms that defy definition. Throughout the semester we'll explore projects that utilize Artificial Intelligence, Virtual Reality, Augmented Reality and the Internet of Things, alongside a heavy-hitting selection of new media thinkers, theorists, and critics.
The course will be co-taught as a dialogue between artistic practice and new media theory. Lance Weiler, a new media artist and founder of Columbia’s Digital Storytelling Lab, selected the media artworks; Rob King, a film and media historian, selected the scholarly readings. It is in the interaction between these two perspectives that the course will explore the parameters of emerging frontiers in media art and the challenges these pose for existing critical vocabularies.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.