Models for pricing and hedging equity, fixed-income, credit-derivative securities, standard tools for hedging and risk management, models and theoretical foundations for pricing equity options (standard European, American equity options, Asian options), standard Black-Scholes model (with multiasset extension), asset allocation, portfolio optimization, investments over longtime horizons, and pricing of fixed-income derivatives (Ho-Lee, Black-Derman-Toy, Heath-Jarrow-Morton interest rate model).
This course will provide a survey of the historical practices of textual translation in India as well as some of the ways in which translation has been used to open up analysis of a broad set of cultural practices. Discussion topics will range from methods of translation to conceptual commensurability, translatability, patronage and vernacularization, as the class rigorously examines how to approach the following questions: What was translation in India? What were the ways in which it was theorized? What was the relationship between translation and political power? How does a history of translation challenge nationalist narratives of culture, if at all?
(Lecture). What does the history of the United States look like when novelists write it? To find out, this course will join American authors as they duel with the Founding Fathers, prosecute the Civil War, witness the Holocaust, and otherwise journey to the past. Most of our reading will be historical novels by twentieth-century writers. But we will also consult professional historians along the way, and ask several comparative questions about method. What can novelists do that historians can't, and vice-versa? How accurate is historical fiction, and should its readers care? And have the historical insights of literary artists tended to be ahead of or behind the times? Possible authors are Crane, Dreiser, Cather, Dos Passos, Faulkner, Styron, Roth, Pynchon, Vidal, Morrison, and Delillo. Assignments will include papers and a final exam.
Prerequisites: the instructor's permission; some basic knowledge of social psychology is desirable.
Discussion of the unconscious mind from the perspective of social cognition, with an emphasis on both theoretical and empirical background, as well as current issues in measuring automatic processing. Topics include: implicit memory systems; unconscious attitudes, goals and behavior, emotions, and decision making; the activation and deactivation of knowledge systems; and priming.
Prerequisites: two years of prior coursework in Hindi-Urdu (
MDES W1612
&
MDES W1613
), one year of Urdu for Heritage Speakers (
MDES W1614 & MDES W1615
), or the instructor's permission.
This course is a literary course, with in-depth exposure to some of the finest works of classical and modern Urdu prose and poetry. In the fall semester, our focus will be on some of the most famous Urdu short stories while, in the spring semester, we will focus on various genres of Urdu poetry. The content may change each semester. This course is open to both undergraduates and graduates. No P/D/F or R credit is allowed for this class.
This course examines the rich world of Talmudic narrative and the way it mediates between conflicting perspectives on a range of topics: life and death; love and sexuality; beauty and superficiality; politics and legal theory; religion and society; community and non-conformity; decision-making and the nature of certainty. While we examine each text closely, we will consider different scholars’ answers – and our own answers – to the questions, how are we to view Talmudic narrative generally, both as literature and as cultural artifact?
This course will introduce students to the avant-garde movement of Impressionism by making extensive use of New York collections, particularly those of the Metropolitan Museum of Art. We will study Impressionist art and artists in relation to the social, cultural and political backdrop of late nineteenth-century France. Central to our discussions will be the rebuilding of Paris under Napoleon III and Baron Haussmann and new attitudes towards urban and rural space and leisure and labor. Focusing on the "core" group oflmpressionists-Edgar Degas, Auguste Renoir, Claude Monet, Alfred Sisley, Gustave Caillebotte, Camille Pissarro, Mary Cassatt, and Berthe Morisot--dass discussions will consider the social nature of Impressionism, including the relationship between group and individual practices, alternative exhibition spaces, and collaborations with dealers and critics.
Prerequisites: Some knowledge of Research Methods, Statistics, and Social Psychology, plus Instructor's Permission.
Reviews and integrates current research on three important topics of social psychology: culture, motivation, and prosocial behavior. Discussions and readings will cover theoretical principles, methodological approaches, and the intersection of these three topics. Students will write a personal research proposal based on the theories presented during the seminar.
Prerequisites: instructor permission.
Theory of convex optimization; numerical algorithms; applications in circuits, communications, control, signal processing and power systems.
(Lecture). The master narrative of the United States has always vacillated between valorizations of movement and settlement. While ours is a nation of immigrants, one which privileges its history of westward expansion and pioneering, trailblazing adventurers, we also seem to long for what Wallace Stegner called a "sense of place," a true belonging within a single locale. Each of these constructions has tended to focus on individuals with a tremendous degree of agency in terms of where and whether they go. However, it is equally important to understand the tension between movement and stasis within the communities most frequently subjected to spatial upheavals. To that end, this course is designed to examine narratives of immigration, migration, relocation, and diaspora by authors of color in the United States.
Please see department
Prerequisites: instructor's permission.
Engineering of biochemical and microbiological reaction systems. Kinetics, reactor analysis, and design of batch and continuous fermentation and enzyme processes. Recovery and separations in biochemical engineering systems.
This course will explore the borderlands between memoir, autobiography and fiction in life writing in Yiddish literature through the lens of the Eastern European Jewish experience. Employing gender and comparative approach as analytical lenses, we will read several autobiographical works and address the following questions: how to deal with problems of memory in personal narratives? How to distinguish between truth, self-fashioning, and fiction in autobiographical writing? What role does the immigrant experience play in Jewish autobiographical narratives? The texts and class discussion will be in English. , As part of the digital humanities initiative at Columbia, this course will contribute to the Mapping Yiddish New York (MYNY) project, a growing online archive documenting Yiddish cultural history of New York. Selected essays produced in this class will be featured on the MYNY website and students will acquire skills in digital publishing and scholarly research.
An introduction to the emerging interdisciplinary field of social cognitive neuroscience, which examines topics traditionally of interest to social psychologists (including control and automaticity, emotion regulation, person perception, social cooperation) using methods traditionally employed by cognitive neuroscientists (functional neuroimaging, neuropsychological assessment).
Prerequisites: the instructor's permission.
Reviews and integrates current research on the role of social factors in psychopathology. The immediate and long-term effects of chronic and traumatic stressors originating outside the family (e.g., natural disasters, chronic poverty) and inside the family (e.g., family violence, divorce, parental psychopathology) on psychopathology.
The social question emerged in Latin America at the end of the nineteenth century as a consequence of the process of modernization and economic expansion of the region, coinciding with processes of state consolidation in the new nations. In his study of the Chilean system of industrial relations, James Morris defined the social question as "all the social, labor and ideological consequences of emerging industrialization and urbanization...
Prerequisites: Corequisite Colloquium "The Italian and Mediterranean Colloquium",Knowledge of French and/or Italian Preferable
This course will offer an overview of historical and anthropological writing on the Mediterranean from the birth of the field through the pages of Fernard Braudel’s celebrated book in the 1940s to the present day. It will trace the shifts in the ways we understand the Mediterranean by examining the sea as a malleable geographical space, which changes over time. It will explore topics such as the macro- and micro-histories of the Sea; the ‘history in’ and the ‘history of’ the Mediterranean; ‘anti-Meditterraneanism’; the revolutionary Mediterraneans; the colonial Mediterranean; the Grand Tour; the migrants in the Mediterranean; Italy in the Mediterranean, and others. Looking at the sea can tell us a lot about human life on land and can change our perspective on how we view this and other parts of the world.
From Aristotle to the 2020 US Census, this course examines the history of race as a biological concept. It explores the complex relationship between the scientific study of biological differences--real, imagined, or invented--and the historical and cultural factors involved in the development and expression of "racial ideas." Scientific background not required. Enrollment limited to 15. EBHS students have priority.
This course examines major ethical dilemmas that emerge in the convergence between human rights and public health at the national and international levels. Using specific case studies, Attention will be given to the rationales, meaning and implementation of the right to health across borders; the theories and practices of allocation of scare resources; the challenges of providing care for minority groups—including sexual minorities, children, and persons with disabilities; and the ethical, legal, and social implications of international health governance. This is an interactive course, with interdisciplinary scholarship and exploration of issues in historical, cultural and political contexts.
This course is required for undergraduate students majoring in OR:FE.
Introduction to investment and financial instruments via portfolio theory and derivative securities, using basic operations research/engineering methodology. Portfolio theory, arbitrage; Markowitz model, market equilibrium, and the capital asset pricing model. General models for asset price fluctuations in discrete and continuous time. Elementary introduction to Brownian motion and geometric Brownian motion. Option theory; Black-Scholes equation and call option formula. Computational methods such as Monte Carlo simulation.
Prerequisites:
COMS W3134
,
W3136
, or
W3137
.
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.
Prerequisites:
VIAR R1700
.
(Formerly R4710) The photo book as a central medium of contemporary photographic practice is explored in this course. Students are exposed to a variety of approaches and viewpoints through presentations by guest photographers, curators, critics, editors, graphic designers, etc... Students will cooperatively shoot 8mm movie films to explore issues of narrative and timing. Each student will propose, develop, and produce a maquette of their work as a final project. Note: Due to the necessity of placing a cap on the number of students who can register for our photography courses, the department provides a wait list to identify and give priority to students interested in openings that become available on the first day of class. If the class is full, sign up for the wait list at
http://arts.columbia.edu/photolist
.
Prerequisites: equivalent.
Wireless communication systems. System design fundamentals. Trunking theory. Mobile radio propagation. Reflection of radio waves. Fading and multipath. Modulation techniques; signal space; probability of error, spread spectrum. Diversity. Multiple access.
This graduate course is only for MS Program in FE students.
Multivariate random number generation, bootstrapping, Monte Carlo simulation, efficiency improvement techniques. Simulation output analysis, Markov-chain Monte Carlo. Applications to financial engineering. Introduction to financial engineering simulation software and exposure to modeling with real financial data. Note:
Students who have taken IEOR E4404 Simulation may not register for this course for credit.
This seminar explores historical formations of religiously-defined identities in Islam. The most commonly known religiously-defined identities in Islamic history are those of Sunnis and Shias (for the sake of convenience, the word Shia is used consistently throughout this course instead of Shi'i or Shiite, etc.). Besides Sunni and Shia, many other religiously-defined identity labels have been and continue to be used in the history of Muslim societies. Sufis, for instance, may identify themselves as either Sunni or Shia: sometimes they are shunned by both Sunnis and Shias. Tens of different Sufi group affiliations, also known as Sufi Brotherhoods are known. Still, there have existed so many other such identity labels that mostly now are forgotten, deemed irrelevant or sometimes subsumed other labels: Salafis, Ismailis, Qadiyanis or Ahmedis, Azalis, Panjpris, Nusayris, Alewis, and ghulat are but few examples of such religiously-defined identities. The notion of "sect" is often used, but the applicability of this term which has strong roots in Christian history to Islamic identities needs clarification. This seminar also examines the modes in which religiously-defined identities may become obsolete or otherwise be rendered insignificant. The historical process of making and unmaking "orthodoxy" is linked with the ways in which various religiously-defined identities may come under a unifying rubric. The notion of Schools of law (maz'habs) and Schools of theology (Mu'tazili, Ash'ari, Maturidi, etc.) is linked with local dynasties, patrician families, community & neighborhood dynamics, etc. The effect of ritual practice, rites of passage, geographical localization, etc is discussed, drawing on primary sources and contemporary studies mostly in history and anthropology. Examples are drawn from the Middle East, South Asia, East Asia, Europe, the Americas and elsewhere. The course is divided into three chronologically defined parts: classical (7th-16th centuries), post-classical (17th-19th centuries) and modern (20th century).
Prerequisites: IEOR E4701: Stochastic Models for Financial Engineering and IEOR E4706: Foundations of Financial Engineering.
This graduate course is only for MS Program in FE students.
This course offers a review of martingale pricing and hedging in discrete-time models. The course also serves as an introduction to stochastic calculus and stochastic differential equations and covers other topics including the Black-Scholes model and framework; the volatility surface; foreign exchange models and pricing quanto options; and advanced models including local volatility, stochastic volatility and jump-diffusion models.
This graduate course is only for MS Program in FE students.
Modeling, analysis, and computation of derivative securities. Application of stochastic calculus and stochastic differential equations. Numerical techniques: finite-difference, binomial method, and Monte Carlo.
Prerequisites: Probability.
Corequisites: IEOR E4706: Foundations of Financial Engineering, and IEOR E4707: Financial Engineering: Continuous Time Models.
This graduate course is only for MS Program in FE students.
This course covers the following topics: Black-Litterman asset pricing model; empirical analysis of asset prices: heavy tails, test of the predictability of stock returns; financial time series: ARMA, stochastic volatility, and GARCH models. Stationary tests; inference for continuous-time models, Bayesian MCMC; time series regression and empirical test of CAPM.
Prerequisites: Probability.
Corequisites: IEOR E4706,IEOR E4702
This graduate course is only for MS Program in FE students.
Empirical analysis of asset prices: heavy tails, test of the predictability of stock returns. Financial time series: ARMA, stochastic volatility, and GARCH models. Regression models: linear regression and test of CAPM, nonlinear regression and fitting of term structures.
In an interview with Elisabeth Roudinesco, Jacques Derrida details the lack of a philosophical justification for abolitionism. Rather, its proponents have made the case largely through extra-philosophical- i.e., largely literary or politico-activist modes. Our seminar will examine the death penalty as it is presented in three distinct genres: philosophy, literature and film. After a brief consideration of each genre, we turn to the justification for the death penalty in a tradition of western political thought linking it to sovereignty as well as to the construction of a "public enemy." We shift our focus to the distinctive visuality of the death penalty-how scenes of execution are staged and witnessed. But we also investigate how these genres are mutually implicated in certain figures such as Albert Camus. We conclude with transnational comparisons of the death penalty's (and abolitionism"s) representation in seemingly disparate works of localized fiction (the "killing states" of the American south and international cinema). Throughout the course we investigate the performance of the death penalty in relation to questions of race, gender, class and national imaginaries.
This course explores women in modern and contemporary Chinese fiction using two focal points: the representation of women in fiction, and the voices who write about women. Closely reading narratives by men and women who raised “the woman question” in China from the Mid Nineteenth century and until the Post-Mao era, we aim at understanding: how did “woman” come to dominate the literary imagination of modern Chinese authors? Is there such a thing as female writing? Can only women practice female writing? Our readings will take us chronologically from the early formations of women’s rights as an issue of social importance in China, through the ripening of a substantial feminist discourse and body of literature both committed to putting the figure of “woman” at the center of modernization, revolution, and reform. We will read essays by Chinese feminists, short stories, novellas and novels and pay particular attention to questions of narration, voice, and figuration. Our secondary reading will hone our analytical skills and help us to situate the literary texts within historical and thematic contexts.
While helping students advance their levels of oral and written expression, this course focuses on literature of the modern and medieval periods, with particular emphasis on the development of the modern novella and traditional and new forms of poetry. In addition to literature, students are introduced to a wide variety of genres from political and cultural essays and blogs to newspaper translations of the early 20th century. They will be further exposed to ta´rof in reference to a wide variety of socio-cultural contexts and be expected to use ta´rof in class conversations. Students will be exposed to popular artists and their works and satirical websites for insight into contemporary Iranian culture and politics.
Prerequisites:
POLS W4710
or the equivalent.
Multivariate and time-series analysis of political data. Topics include time-series regression, structural equation models, factor analysis, and other special topics. Computer applications are emphasized.
This course is designed for students interested in gaining a broad view of Tibetan history in the 20th century. We will cover the institutional history of major Tibetan state institutions and their rivals in the Tibetan borderlands, as well as the relations with China, Britain, and America. Discussion sessions throughout the semester will focus on important historical issues.
Group(s): C
Prerequisites: additional prerequisites 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: additional prerequisites 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.
(Lecture). Beginning with an overview of late medieval literary culture in England, this course will cover the entire Canterbury Tales in the original Middle English. We will explore the narrative and organizational logics that underpin the project overall, while also treating each individual tale as a coherent literary offering, positioned deliberately and recognizably on the map of late medieval cultural convention. We will consider the conditions—both historical and aesthetic—that informed Chaucer’s motley composition, and will compare his work with other large-scale fictive works of the period. Our ultimate project will be the assessment of the Tales at once as a self-consciously “medieval” production, keen to explore and exploit the boundaries of literary convention, and as a ground-breaking literary event, which set the stage for renaissance literature.
Prerequisites: POLS W4760 or equivalent level of calculus.
Application of noncooperative game theory to strategic situations in politics. Solution concepts, asymmetric information, incomplete information, signaling, repeated games, and folk theorems. Models drawn from elections, legislative strategy, interest group politics, regulation, nuclear deterrence, international relations, and tariff policy.
Foreign exchange market and its related derivative instruments - the latter being forward contracts, futures, options, and exotic options. What is unusual about foreign exchange is that although it can rightfully claim to be the largest of all financial markets it remains an area where very few have any meaningful experience. Virtually everyone has traded stocks, bonds, and mutual funds. Comparatively few individuals have ever traded foreign exchange. In part that is because foreign exchange is an interbank market. Yet ironically the foreign exchange markets may be the best place to trade derivatives and invent new derivatives - given the massive two-way flow of trading that goes though bank dealing rooms virtually twenty-four hours a day. And most of that is transacted at razor-thin margins, at least comparatively speaking, a fact that makes the foreign exchange market an ideal platform for derivatives. The emphasis is on familiarizing the student with the nature of the foreign exchange market and those factors that make it special among financial markets, enabling the student to gain a deeper understanding of the related market for derivatives on foreign exchange.
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.
Hands-on experience designing, building, and testing the various components of a benchtop cardiac pacemaker. Design instrumentation to measure biomedical signals as well as to actuate living tissues. Transducers, signal conditioning electronics, data acquisition boards, the Arduino microprocessor, and data acquisition and processing using MATLAB will be covered. Various devices will be discussed throughout the course, with laboratory work focusing on building an emulated version of a cardiac pacemaker.
The Human Rights Practicum is a forum where human rights practitioners and academics share their professional experiences and insights on the modern development of international human rights law, policy, and practice. The Practicum plays an important role in the Human Rights Concentration as a means by which students examine current trends in the human rights field and remain informed about the different roles that human rights actors play in a variety of contexts. The Practicum is designed, therefore, to enhance students’ abilities to think critically and analytically about current problems and challenges confronting the field, and to do so in the context of a vibrant community of their peers. Whereas most courses integrate conceptual and theoretical perspectives of human rights, the Human Rights Practicum is meant to emphasize the processes of implementing human rights from the practitioner’s perspective. A secondary goal of this class will be to make valuable contacts with practitioners in your field. The practitioners invited to join the class will also speak about their career trajectory and available opportunities within their particular area.
Prerequisites: introductory probability and statistics and basic programming skills.
Provides comprehensive introduction to computational techniques for analyzing genomic data including DNA, RNA and protein structures; microarrays; transcription and regulation; regulatory, metabolic and protein interaction networks. The course covers sequence analysis algorithms, dynamic programming, hidden Markov models, phylogenetic analysis, Bayesian network techniques, neural networks, clustering algorithms, support vector machines, Boolean models of regulatory networks, flux based analysis of metabolic networks and scale-free network models. The course provides self-contained introduction to relevant biological mechanisms and methods.
This course is a comparative examination of modern and medieval Islamic political thoughts. The seminar begins with the roots of Islamic political thoughts in the early Islamic history, as well as Qur'anic revelations and Prophetic Hadith traditions. We will then divide the course into two major components: medieval and modern, with the rise of European colonialism in the late 18th century and early 19th century as the principal catalyst of groundbreaking changes in Islamic political thoughts.
Prerequisites: basic statistics and regression analysis (for example:
POLS 4712
,
STAT 2024
or
4315
,
SOCI 4075
, etc.)
Survey sampling is central to modern social science. We discuss how to design, conduct, and analyze surveys, with a particular focus on public opinion surveys in the United States.
Prerequisites: one or two semesters of statistics; basic understanding of probability, hypothesis testing, and regression are assumed. Basic familiarity with statistical software (Stata and R) is helpful but not required.
In this course, we will discuss the logic of experimentation, its strengths and weaknesses compared to other methodologies, and the ways in which experimentation has been -- and could be -- used to investigate social phenomena. Students will learn how to interpret, design, and execute experiments.
This course charts the history of health and healing from, as far as is possible, a perspective interior to Africa. It explores changing practices and understandings of disease, etiology, healing and well-being from pre-colonial times through into the post-colonial. A major theme running throughout the course is the relationship between medicine, the body, power and social groups. This is balanced by an examination of the creative ways in which Africans have struggled to compose healthy communities, albeit with varied success, whether in the fifteenth century or the twenty-first. Field(s): AFR
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 Python.
Instruction in methods for models that have dependent variables that are not continuous, including dichotomous and polychotomous response models, models for censored and truncated data, sample selection models and duration models.
Tracing the discovery of the role of DNA tumor viruses in cancerous transformation. Oncogenes and tumor suppressors are analyzed with respect to their function in normal cell cycle, growth control, and human cancers. SCE and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Prerequisites: CHEN E4230, may be taken concurrently or the instructors permission.
Fundamental tools and techniques currently used to engineer protein molecules. Methods used to analyze the impact of these alterations on different protein functions with specific emphasis on enzymatic catalysis. Case studies reinforce concepts covered, and demonstrate the wide impact of protein engineering research. Application of basic concepts in the chemical engineering curriculum (reaction kinetics, mathematical modeling, thermodynamics) to specific approaches utilized in protein engineering.
A survey of works by major English novelists from Austen to Hardy, stressing the great variety of style and narrative structure gathered under the notion of “realism.” As these authors represent the interplay of individual consciousness and social norms (class, gender, marriage, family), they explore tensions generated by new possibilities of social mobility and self-determination within the most dynamic economic order the world had ever seen. We'll be especially interested in the novel’s preoccupation with domestic life, and the striking transformations of the "marriage plot" in a world of great social and sexual anxiety. In short, stories of love and money. Austen, Mansfield Park; Charlotte Bronte, Jane Eyre; Dickens, Great Expectations; George Eliot, Middlemarch; Trollope, Barchester Towers; Hardy, Jude the Obscure.