Prerequisites: BIOC UN3512
RNA has recently taken center stage with the discovery that RNA molecules sculpt the landscape and information contained within our genomes. Furthermore, some ancient RNA molecules combine the roles of both genotype and phenotype into a single molecule. These multi-tasking RNAs offering a possible solution to the paradox of which came first: DNA or proteins. This seminar explores the link between modern RNA, metabolism, and insights into a prebiotic RNA world that existed some 3.8 billion years ago. Topics include the origin of life, replication, and the origin of the genetic code; conventional, new, and bizarre forms of RNA processing; and structure, function and evolution of key RNA molecules, including the ribosome. The format will be weekly seminar discussions with presentations. Readings will be taken from the primary literature, emphasizing seminal and recent literature. Requirements will be student presentations, class participation, and a final paper.
Prerequisites: the instructor's permission.
How a society defines crime, and how it deals with the criminals tells us a lot about the moral values, and the political and economic structure of that society, as well as its internal conflicts, superstitions, and fears. Often supposed to be a barbaric community of ignorant unruly men governed by greedy kings and popes, the medieval society in the popular culture is often an inspiration to the grotesque representations of violence and torture. Even an intellectual like Michel Foucault did not hesitate to advance a theory of medieval punishment, albeit a terribly wrong one, as one that focuses on the body and spectacle. This course is designed to trace the origins of the modern criminal legislation and practices to the Middle Ages, some of which were jury trial, public persecution, and prisons. How did these practices come about, and under which social conditions? The focus of the course will be on violent crimes, such as murder, robbery, assault and suicide, and some particularly medieval crimes like sorcery, blasphemy and sodomy. The geographical scope will be limited to England, Italy and France. The class discussions are expected to take the form of collective brainstorming on how the political powers, social classes, cultural values, and religious beliefs affect the development of criminal legislation and institutions. Whenever possible the weekly readings will feature a fair share of medieval texts, including trial records, criminal laws, a manual for trying witches, and prison poetry.
Field(s): *MED
A survey of the relationships between people and plants in a variety of cultural settings. Sustainability of resource use, human nutrition, intellectual property rights, and field methodologies are investigated.
Focus on Castiglione’s Book of the Courtier as educational treatise, philosophical meditation, sociopolitical document, and book of courtly manners; other courtly writings of the period, from Della Casa’s Galateo to Ariosto’s Satires to Bembo’s Asolani. Lectures in English; text in Italian, although comparative literature students who can follow with the help of translations are welcome.
Prerequisites: (APPH E3100) and (MSAE E3111) or their equivalents with instructor’s permission.
The science and engineering of creating materials, functional structures and devices on the nanometer scale. Carbon nanotubes, nanocrystals, quantum dots, size dependent properties, self-assembly, nanostructured materials. Devices and applications, nanofabrication. Molecular engineering, bionanotechnology. Imaging and manipulating at the atomic scale. Nanotechnology in society and industry. Offered in alternate years.
Prerequisite:
open to public. Presentations by medical informatics faculty and invited international speakers in medical informatics, computer science, nursing informatics, library science, and related fields.
Decision analytic framework for operating, managing, and planning water systems, considering changing climate, values and needs. Public and private sector models explored through US-international case studies on topics ranging from integrated watershed management to the analysis of specific projects for flood mitigation, water and wastewater treatment, or distribution system evaluation and improvement.
Prerequisites: organic chemistry and biology courses, neuroscience or neurobiology recommended, but not required.
The study of the brain is one of the most exciting frontiers in science and medicine today. Although neuroscience is by nature a multi-disciplinary effort, chemistry has played many critical roles in the development of modern neuroscience, neuropharmacology, and brain imaging. Chemistry, and the chemical probes it generates, such as molecular modulators, therapeutics, imaging agents, sensors, or actuators, will continue to impact neuroscience on both preclinical and clinical levels. In this course, two major themes will be discussed. In the first one, titled "Imaging brain function with chemical tools," we will discuss molecular designs and functional parameters of widely used fluorescent sensors in neuroscience (calcium, voltage, and neurotransmitter sensors), their impact on neuroscience, pros and cons of genetically encoded sensors versus chemical probes, and translatability of these approaches to the human brain. In the second major theme, titled "Perturbation of the brain function with chemical tools," we will examine psychoactive substances, the basics of medicinal chemistry, brain receptor activation mechanisms and coupled signaling pathways, and their effects on circuit and brain function. We will also discuss recent approaches, failures and successes in the treatment of neurodegenerative and psychiatric disorders. Recent advances in precise brain function perturbation by light (optogenetics and photopharmacology) will also be introduced. In the context of both themes we will discuss the current and future possibilities for the design of novel materials, drawing on the wide molecular structural space (small molecules, proteins, polymers, nanomaterials), aimed at monitoring, modulating, and repairing human brain function. This course is intended for students (undergraduate and graduate) from the science, engineering and medical departments.
Prerequisites: elementary organic chemistry. (Some background in inorganic and physical chemistry is helpful but not required.)
Main group and transition metal organometallic chemistry: bonding, structure, reactions, kinetics, and mechanisms.
This class is an introduction both to the study of the literature of the English Renaissance or early modern period, and to the study of the history of sexuality. While we will be looking at issues of sexuality in the literary texts that are at the center of this class, we will also be thinking about the history of sexuality as a field of study in its own right, how itβs been conceived of and practiced, its promises and pitfalls. We will be examining the humanist histories and methodologies that inform much Renaissance thought about human sexuality β theories about bodies, desire, relationships between and among the sexes, materialism, and spirituality β as well as more recent critical approaches. We will think closely about the genres that (we think) privilege sexuality β eclogues, plays (especially those performed by boy players), erotic verse, verse letters, utopia and creation stories.
Prerequisites: (STAT GU4001)
This graduate course is only for MS&E, IE and OR students. This is also required for students in the Undergraduate Advanced Track.
Some of the main stochastic models used in engineering and operations research applications: discrete-time Markov chains, Poisson processes, birth-and-death processes, and other continuous Markov chains, renewal reward processes. Applications: queueing, reliability, inventory, and finance.
Prerequisites: (APPH E3300)
Ray optics, matrix formulation, wave effects, interference, Gaussian beams, Fourier optics, diffraction, image formation, electromagnetic theory of light, polarization and crystal optics, coherence, guided wave and fiber optics, optical elements, photons, selected topics in nonlinear optics.
Prerequisites: (CHEN E3120)
Tensor analysis; kinematics of continua; balance of laws for one-component media; constituitive laws for free energy and stress in one-component media; exact and asymptotic solutions to dynamic problems in fluids and solids; balance laws for mixtures; constitutive laws for free energy, stress and diffusion fluxes in mixtures; solutions to dynamic problems in mixtures.
A study of the French Atlantic World from the exploration of Canada to the Louisiana Purchase and Haitian Independence, with a focus on the relationship between war and trade, forms of intercultural negotiation, the economics of slavery, and the changing meaning of race. The demise of the First French Colonial Empire occurred in two stages: the British victory at the end of the Seven Years War in 1763, and the proclamation of Haitian Independence by insurgent slaves in 1804. The first French presence in the New World was the exploration of the Gulf of St. Lawrence by Jacques Cartier in 1534. At its peak the French Atlantic Empire included one-third of the North American continent, as well as the richest and most productive sugar and coffee plantations in the world. By following the history of French colonization in North America and the Caribbean, this class aims to provide students with a different perspective on the history of the Western hemisphere, and on US history itself. At the heart of the subject is the encounter between Europeans and Native Americans and between Europeans and Africans. We will focus the discussion on a few issues: the strengths and weaknesses of French imperial control as compared with the Spanish and the British; the social, political, military, and religious dimensions of relations with Native Americans; the extraordinary prosperity and fragility of the plantation system; evolving notions of race and citizenship; and how the French Atlantic Empire shaped the history of the emerging United States. The course is designed for advanced undergraduates. It will be open to graduate students by permission of the History DGS and the instructor.
This course explores the life of scientific and technological artifacts in East Asia. We will examine everyday objects alongside core literature from Science and Technology and Society (STS) studies to raise new historical questions and methodological approaches. From clocks to paper, from pregnancy to immortality, we will take on a close reading of objects and ideas by directly engaging with the circumstances under which they were made.
Prerequisites: (COMS W3134), (COMS W3136), or (COMS W3137); plus fluency in Java. Alternatively, you need the instructor's permission. The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, query processing, transaction processing. Programming projects are required.
Prerequisites: (COMS W4111) and fluency in Java or C++. CSEE W3827 is recommended.
The principles and practice of building large-scale database management systems. Storage methods and indexing, query processing and optimization, materialized views, transaction processing and recovery, object-relational databases, parallel and distributed databases, performance considerations. Programming projects are required.
Prerequisites: (COMS W3134) and (COMS W3136) or (COMS W3137) or (COMS W3261) and (CSEE W3827) or equivalent, or the instructor's permission.
Modern programming languages and compiler design. Imperative, object-oriented, declarative, functional, and scripting languages. Language syntax, control structures, data types, procedures and parameters, binding, scope, run-time organization, and exception handling. Implementation of language translation tools including compilers and interpreters. Lexical, syntactic and semantic analysis; code generation; introduction to code optimization. Teams implement a language and its compiler.
Prerequisites: (CSEE W3827) and knowledge of C and programming tools as covered in COMS W3136, W3157, or W3101, or the instructor's permission.
Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of the UNIX operating system. A programming project is required.
Prerequisites: Corequisites: IEOR E3658 or IEOR E4150 or STAT GU4001
Corequisites: IEOR E3658,IEOR E4150,STAT GU4001
Introduction to computer networks and the technical foundations of the Internet, including applications, protocols, local area networks, algorithms for routing and congestion control, security, elementary performance evaluation. Several written and programming assignments required.
Prerequisites: background in Computer System Organization and good working knowledge of C/C++
Corequisites: CSOR W4246,STAT GU4203
An introduction to computer architecture and distributed systems with an emphasis on warehouse scale computing systems. Topics will include fundamental tradeoffs in computer systems, hardware and software techniques for exploiting instruction-level parallelism, data-level parallelism and task level parallelism, scheduling, caching, prefetching, network and memory architecture, latency and throughput optimizations, specialization, and an introduction to programming data center computers.
The main task of this course will be to read novels by African writers. But "the novel in Africa" also involves connections between the literary genre of the novel and the historical processes of colonialism, decolonization, and globalization in Africa. One important question we'll consider is how African novels depict those historical experiences in their themes and plots—we'll read novels that are "about" colonialism, etc. A more complex question is how these historical processes relate to the emergence of the novel as an important genre for African writers. Edward Said went so far as to say that without imperialism, there would be no
European
novel as we know it. How can we understand the novel in Africa (whether read or written) as a product of the colonial encounter? How did it shape the process of decolonization? What contribution to history, whether literary or political, does the novel in Africa make? We'll undertake a historical survey of African novels from the 1930s to the present, with attention to various subgenres (village novel, war novel, urbanization novel, novel of postcolonial disillusion,
Bildungsroman
). We'll attend to how African novelists blend literate and oral storytelling traditions, how they address their work to local and global audiences, and how they use scenes of characters reading novels (whether African or European) in order to position their writing within national, continental, and world literary space.
Prerequisites: the instructor's permission.
Introduction to the ecology and epidemiology of infectious diseases of humans and wildlife.
Interpretations of civil society and the foundations of political order according to the two main traditions of political thought--contraction and Aristotelian. Readings include works by Hobbes, Spinoza, Locke, Montesquieu, Hume, Rousseau, Kant, Hegel, Saint-Simon, Tocqueville, Marx, and Mill.
Prerequisites: One year of introductory biology or permission from the instuctor
Urban Ecology and Design will explore and evaluate the ecological potential of the designed urban environment. Students will work in interdisciplinary groups to study and evaluate the relationships between urban design and ecological performance through a series of case studies, field explorations, and studio visits. New York City will be used as a test site for analysis and students will work together to evaluate urban systems with regards to vegetation, wildlife, sediment management, water, energy, and pollution using techniques of visual mapping and the application of quantitative scientific criteria over multiple scales. The course offers a deeper understanding of the relationships that drive urban ecosystems, a critical evaluation of commonly used urban design techniques, and insights into how to better design functional ecosystems within the urban context.
Prerequisites: (CSEE W4119) or equivalent.
In this course, students will learn how to put "principles into practice," in a hands-on-networking lab course. The course will cover the technologies and protocols of the Internet using equipment currently available to large internet service providers such as CISCO routers and end systems. A set of laboratory experiments will provide hands-on experience with engineering wide-area networks and will familiarize students with the Internet Protocol (IP), Address Resolution Protocol (ARP), Internet Control Message Protocol (ICMP), User Datagram Protocol (UDP) and Transmission Control Protocol (TCP), the Domain Name System (DNS), routing protocols (RIP, OSPF, BGP), network management protocols (SNMP, and application-level protocols (FTP, TELNET, SMTP).
Prerequisites: elementary organic chemistry.
Introduction to theory and practice of NMR spectroscopy. Instrumental aspects, basic NMR theory, NOE, and a survey of 2D methods are covered.
Adverse effects of air pollution, sources and transport media, monitoring and modeling of air quality, collection and treatment techniques, pollution prevention through waste minimalization and clean technologies, laws, regulations, standards, and guidelines.
In seminar discussions, we will be covering key readings in African Philosophy, following how this field of research and academic debate has emerged, progressed and become more subÂdifferentiated in the 20th and early 21 st century. While the main task set here is to understand the essential readings of the debate about African philosophy as it has been led by academic African philosophers, in the second part of the semester, we will pick up in an interdisciplinary manner on open questions and fields for further research that have been identified. For instance, in addressing questions of how to approach (document, qualify, understand) traditions of oral and written philosophical discourse as part of long-standing regional (and trans-regional) intellectual histories, expressed in African languages, we involve knowledge in linguistics, history, anthropology and religion.
Prerequisites: the instructor's permission.
This course covers various topics in Medieval Latin Literature.
Prerequisites: (COMS W3157) or equivalent.
Software lifecycle from the viewpoint of designing and implementing N-tier applications (typically utilizing web browser, web server, application server, database). Major emphasis on quality assurance (code inspection, unit and integration testing, security and stress testing). Centers on a student-designed team project that leverages component services (e.g., transactions, resource pooling, publish/subscribe) for an interactive multi-user application such as a simple game.
Prerequisites: MUSI UN3129 MUSI UN2318-2319 or the equivalent.
Exploration of the idea of “late style” in the context of early Romanticism, with particular focus on Beethoven and Schubert during the 1820s. The roles of illness and disability, musical journalism under censorship, and private chamber music in the public cultures of symphony and opera will frame the approach to analysis.
Prerequisites: (COMS W3134) or (COMS W3136) or (COMS W3137) COMS W4156 is recommended. Strong programming background and some mathematical familiarity including linear algebra is required.
Introduction to computer graphics. Topics include 3D viewing and projections, geometric modeling using spline curves, graphics systems such as OpenGL, lighting and shading, and global illumination. Significant implementation is required: the final project involves writing an interactive 3D video game in OpenGL.
Generation, composition, collection, transport, storage and disposal of solid and hazardous waste. Impact on the environment and public health. Government regulations. Recycling and resource recovery.
Prerequisites: BIOTECHNOLOGY LAW (BIOT W4160)
Course Objective
This course – the first of its kind at Columbia – introduces students to a vital subfield of ethics focusing on patent and regulatory law in the biotech and pharmaceutical sectors. The course combines lectures, structured debate and research to best present this fascinating and nuanced subject. Successful completion of Biotechnology Law (W4160) is a course prerequisite, since properly exploring this branch of bioethics requires an indepth understanding of biotech and pharmaceutical patent and regulatory law.
Prerequisites: (COMS W3134) and (COMS W3136) or (COMS W3137)
COMS W3134
,
W3136
, or
W3137
.
Introduction to the theory and practice of computer user interface design, emphasizing the software design of graphical user interfaces. Topics include basic interaction devices and techniques, human factors, interaction styles, dialogue design, and software infrastructure. Design and programming projects are required.
Prerequisites: (COMS W4160) or (COMS W4170) or
COMS W4160
,
COMS W4170
, or the instructor's permission.
Design, development, and evaluation of 3D user interfaces. Interaction techniques and metaphors, from desktop to immersive. Selection and manipulation. Travel and navigation. Symbolic, menu, gestural, and multimodal interaction. Dialogue design. 3D software support. 3D interaction devices and displays. Virtual and augmented reality. Tangible user interfaces. Review of relevant 3D math.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137) and (CSEE W4119) or instructor's permission.
Introduction to network security concepts and mechanisms. Foundations of network security and an in-depth review of commonly-used security mechanisms and techniques, security threats and network-based attacks, applications of cryptography, authentication, access control, intrusion detection and response, security protocols (IPsec, SSL, Kerberos), denial of service, viruses and worms, software vulnerabilities, web security, wireless security, and privacy.
Prerequisites: EEEB GR6110, EEEB GR6112, or EEEB GR6990, basic statistics, or the instructor's permission.
This course provides an overview of marine ecology, introducing processes and systems from which the marine environment is formed and the issues and challenges which surround its future conservation. Coursework will be evaluated using debates, oral presentations and more traditional metrics. Topics to be covered include fisheries, invasive species, habitat alteration, climate change. While we will focus on general threats there will be special emphasis placed on coral reef ecosystems.
This course will investigate the connections between literary/cultural production and petroleum as the substance that makes possible the world as we know it, both as an energy source and a component in the manufacture of everything from food to plastic. Our current awareness of oil's scarcity and its myriad costs (whether environmental, political, or social) provides a lens to read for the presence (or absence) of oil in texts in a variety of genres and national traditions. As we begin to imagine a world "beyond petroleum," this course will confront the ways in which oil shapes both the world we know and how we know and imagine the world. Oil will feature in this course in questions of theme (texts "about" oil), of literary form (are there common formal conventions of an "oil novel"?), of interpretive method (how to read for oil), of transnational circulation (how does "foreign oil" link US citizens to other spaces?), and of the materiality (or "oiliness") of literary culture (how does the production and circulation of texts, whether print or digital, rely on oil?).
Prerequisites: Introductory course in Biology or Evolution.
This taxon-based course provides students with a basic understanding of the diverstiy and natural history of the mammals. Broad coverage of mammalian biology includes: morphological adaptations, evolutionary history, and biogeography.
This course examines psychoanalytic movements that are viewed either as post-Freudian in theory or as emerging after Freud's time. The course begins by considering the ways Freud's cultural and historical surround, as well as the wartime diaspora of the European psychoanalytic community, shaped Freudian and post-Freudian thought. It then focuses on significant schools and theories of psychoanalysis that were developed from the mid 20th century to the present. Through readings of key texts and selected case studies, it explores theorists' challenges to classical thought and technique, and their reconfigurations, modernizations, and total rejections of central Freudian ideas. The course concludes by looking at contemporary theorists' moves to integrate notions of culture, concepts of trauma, and findings from neuroscience and attachment research into the psychoanalytic frame.
Prerequisites: (MSAE E3011) or equivalent or instructor's permission.
Review of laws of thermodynamics, thermodynamic variables and relations, free energies and equilibrium in thermodynamic system. Statistical thermodynamics. Unary, binary, and ternary phase diagrams, compounds and intermediate phases, solid solutions and Hume-Rothery rules, relationship between phase diagrams and metastability, defects in crystals. Thermodynamics of surfaces and interfaces, effect of particle size on phase equilibria, adsorption isotherms, grain boundaries, surface energy, electrochemistry.
Prerequisites: (MSAE E4201)
Review of thermodynamics, irreversible thermodynamics, diffusion in crystals and noncrystalline materials, phase transformations via nucleation and growth, overall transformation analysis and time-temperature-transformation (TTT) diagrams, precipitation, grain growth, solidification, spinodal and order-disorder transformations, martensitic transformation.
Prerequisites: (COMS W3203)
General introduction to graph theory. Isomorphism testing, algebraic specification, symmetries, spanning trees, traversability, planarity, drawings on higher-order surfaces, colorings, extremal graphs, random graphs, graphical measurement, directed graphs, Burnside-Polya counting, voltage graph theory.
Prerequisites: At least one semester, and preferably two, of calculus. An introductory course (STAT UN1201, preferably) is strongly recommended.
A calculus-based introduction to probability theory. A quick review of multivariate calculus is provided. Topics covered include random variables, conditional probability, expectation, independence, Bayes’ rule, important distributions, joint distributions, moment generating functions, central limit theorem, laws of large numbers and Markov’s inequality.
Prerequisites: At least one semester, and preferably two, of calculus. An introductory course (STAT UN1201, preferably) is strongly recommended.
A calculus-based introduction to probability theory. A quick review of multivariate calculus is provided. Topics covered include random variables, conditional probability, expectation, independence, Bayes’ rule, important distributions, joint distributions, moment generating functions, central limit theorem, laws of large numbers and Markov’s inequality.
Prerequisites: STAT GU4203. At least one semester of calculus is required; two or three semesters are strongly recommended.
Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.
Prerequisites: STAT GU4203. At least one semester of calculus is required; two or three semesters are strongly recommended.
Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.
Prerequisites: STAT GU4204 or the equivalent, and a course in linear algebra.
Theory and practice of regression analysis. Simple and multiple regression, testing, estimation, prediction, and confidence procedures, modeling, regression diagnostics and plots, polynomial regression, colinearity and confounding, model selection, geometry of least squares. Extensive use of the computer to analyse data.
Prerequisites: STAT GU4204 and GU4205 or the equivalent.
Introduction to programming in the R statistical package: functions, objects, data structures, flow control, input and output, debugging, logical design, and abstraction. Writing code for numerical and graphical statistical analyses. Writing maintainable code and testing, stochastic simulations, paralleizing data analyses, and working with large data sets. Examples from data science will be used for demonstration.
Prerequisites: STAT GU4203 and two, preferably three, semesters of calculus.
Review of elements of probability theory. Poisson processes. Renewal theory. Wald's equation. Introduction to discrete and continuous time Markov chains. Applications to queueing theory, inventory models, branching processes.
This lecture class offers an introduction to the century that witnessed the flowering of vernacular poetry in English. We will read shorter poems in their cultural and historical contexts, as well as considering their formal and theoretical innovations. The first half of the course will cover a wide range of poets, both canonical and lesser-known, while the latter half will focus on the four most significant poets of the century: Marlowe, Sidney, Shakespeare, and Spenser.
Prerequisites: recommended for undergraduate students to have taken at least one semester of independent research.
This course offers undergraduate and graduate students an introduction to scientific writing and provides an opportunity for them to become more familiar with the skill and craft of communicating complex scientific research. This course will provide students with the basic grammatical, stylistic and practical skills required to write effective academic journal articles, theses, or research proposals. In addition, through an innovative partnership with Columbia University Libraries' Digital Science Center, students will learn how to apply these basic skills to their writing through the use of state-of-the-art software and on-line resources. Regular opportunities to write, peer edit and revise throughout the semester will allow students to put what they are learning into immediate practice. It is recommended that undergraduates have taken at least one semester of research for credit before taking this course. Undergraduates should plan to take this course after taking the required Core course University Writing.
Prerequisites:
APMA E3101
,
APMA E3201
or equivalents and
APPH E4200
or equivalent or the instructor's permission.
Fundamental concepts in the dynamics of rotating stratified flows. Geostrophic and hydrostatic balances, potential vorticity, f and beta plane approximations, gravity and Rossby waves, geostrophic adjustment and quasigeostrophy, baroclinic and barotropic instabilities.
Prerequisites:
ECON W3211
,
W3213
, and
MATH V2010.
Corequisites:
MATH V2500
or
MATH W4061.
The course provides a rigorous introduction to microeconomics. Topics will vary with the instructor but will include consumer theory, producer theory, general equilibrium and welfare, social choice theory, game theory and information economics. This course is strongly recommended for students considering graduate work in economics.
Prerequisites: (MSAE E3103)
Recommended preparation: a course in mechanics of materials. Review of states of stress and strain and their relations in elastic, plastic, and viscous materials. Dislocation and elastic-plastic concepts introduced to explain work hardening, various materials-strengthening mechanisms, ductility, and toughness. Macroscopic and microstructural aspects of brittle and ductile fracture mechanics, creep and fatigue phenomena. Case studies used throughout, including flow and fracture of structural alloys, polymers, hybrid materials, composite materials, ceramics, and electronic materials devices. Materials reliability and fracture prevention emphasized.
This class focuses on the foreign relations of Russia and the Soviet Union between the outbreak of the Russo-Japanese War at the beginning of the twentieth century and the Russian annexation of Crimea in the early twenty-first. We will approach this topic from a perspective that is both historical and comprehensive, although the class cannot be exhaustive. While the interactions between states and governments will play a central role, as they have done in reality, we will not reduce them to the workings of idealized rational actors, be they institutions or people. Instead we will embed them in contexts shaped by social, cultural, and ideological factors. In particular, we will give due consideration to issues of perception and interpretation. This class relies on highlighting select key issues and works through readings that include authoritative works of research and analysis, but also polemical, instrumental, or partisan texts by contemporaries. The readings also offer a sample of writings from different chronological stages, unfolding against different political and cultural backgrounds of thinking about Russia and the Soviet Union (such as the interwar period, the Great Alliance, the Cold War, or d├ętente, to name only a few). Participants are encouraged to read thoroughly as well as critically and never forget the issue of context.
Prerequisites: At least a year of calculus and physics; any 1000-level or 2000-level EESC course. Recommended: EESC2100 (Climate System), EESC2200 (Solid Earth), EESC3201 (Solid Earth Dynamics). Experience using MATLAB.
This course examines processes controlling how glaciers and ice sheets grow, retreat, modify their landscape and interact with the rest of the Earth system. We focus on what controls surface mass balance, the transformation from snow to ice, ice deformation, basal sliding, the temperature and age of ice, the flow of water through ice sheets and glaciers, and the two-way interactions between ice and the oceans, atmosphere and solid earth. Weekly lectures are accompanied by practical computer sessions that equip students with key numerical and data analysis skills used in research of glacial processes.
Prerequisites: STAT GU4205 or the equivalent.
Least squares smoothing and prediction, linear systems, Fourier analysis, and spectral estimation. Impulse response and transfer function. Fourier series, the fast Fourier transform, autocorrelation function, and spectral density. Univariate Box-Jenkins modeling and forecasting. Emphasis on applications. Examples from the physical sciences, social sciences, and business. Computing is an integral part of the course.
Prerequisites: STAT GU4204 or the equivalent.
Statistical inference without parametric model assumption. Hypothesis testing using ranks, permutations, and order statistics. Nonparametric analogs of analysis of variance. Non-parametric regression, smoothing and model selection.
Prerequisites: the instructor's permission.
A seminar reviewing some of the major works of Russian thought, literature, and memoir literature that trace the emergence of intelligentsia ideologies in 19th- and 20th-century Russia. Focuses on discussion of specific texts and traces the adoption and influence of certain western doctrines in Russia, such as idealism, positivism, utopian socialism, Marxism, and various 20th-century currents of thought.
Field(s): MEU
Prerequisites: STAT GU4205 or the equivalent.
Multivariate normal distribution, multivariate regression and classification; canonical correlation; graphical models and Bayesian networks; principal components and other models for factor analysis; SVD; discriminant analysis; cluster analysis.
Prerequisites: STAT GU4204 or the equivalent.
Bayesian vs frequentist, prior and posterior distributions, conjugate priors, informative and non-informative prior subjective and objective bayes, oneand two sample problems, models for normal data, models for binary data, multivariate normal shrinkage, bayesian linear models, bayesian computation (start early), MCMC algorithms, the Gibbs sampler, hierarchical models, empirical bayes, hypothesis testing, bayes factors, model selection, software: R and WinBUGS
Prerequisites: (CIEN E3125) or equivalent.
Review of loads and structural design approaches. Material considerations in structural steel design. Behavior and design of rolled steel, welded, cold-formed light-gauge, and composite concrete/steel members. Design of multi-story buildings and space structures.
This class uses Vasily Grossman’s masterpiece “Life and Fate” – often considered the “War and Peace” of World War Two – as a guide to explore central aspects of the history of the Soviet Union under Stalinism and after. Our approach will be historical; the class will not focus on questions better addressed in literary studies or criticism. Instead, in this class Grossman’s novel will serve as a gateway to learn about and discuss a set of issues which have in common that they were of great importance in the history of the former Soviet Union as well as Europe and the world. These include the Second World War; the nature of power in modern authoritarian systems, in particular the question of totalitarianism; the Holocaust and antisemitism, and the memory of World War Two in the Soviet Union and beyond.
Prerequisites: ECON UN3211 and ECON UN3213
Congestion and other games, and the pricing of transit services. Location theory and land rents. Segregation and discrimination. The fiscal structure of American cities. Zoning and the taking issue. Abandonment and city-owned property. Economic development, abatements, subsidies, and eminent domain. Crime, deadweight losses, and the allocation of police services.
Prerequisites: (COMS W3134) and (COMS W3136) or (COMS W3137) and (COMS W3203)
Introduction to the design and analysis of efficient algorithms. Topics include models of computation, efficient sorting and searching, algorithms for algebraic problems, graph algorithms, dynamic programming, probabilistic methods, approximation algorithms, and NP-completeness.
Prerequisites: STAT GU4205 or the equivalent.
Survival distributions, types of censored data, estimation for various survival models, nonparametric estimation of survival distributions, the proportional hazard and accelerated lifetime models for regression analysis with failure-time data. Extensive use of the computer.
This course, a seminar for advanced undergraduates and M.A. students, explores themes in the history of empires in East Asia, from the early 18th century to the end of World War II. The main geographical focus will the region now corresponding to mainland China (including a part of Inner Asia), Japan, Korea and Taiwan. Colonial empires and their possessions in Southeast Asia will also be discussed. The master narrative of modern political history has long been one of transition from Empire to Nation: decaying empires – Mughal, Ottoman, Qing – proved unable to adapt to the challenges of modern international competition, and were replaced more or less violently with more homogeneous nation-states. We have come to see, however, that empires are more flexible and durable political forms than previously thought, and also that East Asian polities were far from stagnant when Western imperialism burst onto the scene. Imperialism itself was not foreign to the region; the Qing Empire, for example, vastly expanded its territory in the 18th century. Both in Japan and in China, although in different ways, modern nation-building was inseparable from the imperial control of remote and heterogeneous lands. Lastly, in the East Asian context of the 19th and early 20th centuries, framing Western powers as aggressive “nations” is partial at best: what East Asians dealt with were colonial empires, whose policies were often determined at the margins rather than in the metropole. It is therefore appropriate to consider the international history of East Asia from the 18th century to World War II through the lens of interactions and conflict among Empires and Empires in the making.
Prerequisites: STAT GU4205 or the equivalent.
Statistical methods for rates and proportions, ordered and nominal categorical responses, contingency tables, odds-ratios, exact inference, logistic regression, Poisson regression, generalized linear models.
This seminar, which is intended for advanced undergraduates and MA students, is an introduction to the history of political thought in East Asia from the late nineteenth century to the present day. The course will also introduce students to a variety of approaches to intellectual history.
Prerequisites: (COMS W3261)
Develops a quantitative theory of the computational difficulty of problems in terms of the resources (e.g. time, space) needed to solve them. Classification of problems into complexity classes, reductions, and completeness. Power and limitations of different modes of computation such as nondeterminism, randomization, interaction, and parallelism.
In modern times, the names and figures “Arab” and “Jew” have had a history of resemblance (19
th
century philologists and biblical scholars have often related to both “Semites” and discussed them interchangeably), followed by a history of setting the two figures apart in radical opposition. This spilt solidified in 1948, when Israel was established as a Jewish state on the ruins of Palestine, with close to 800,000 Palestinian refugees exiled from their homes. Within this context “Jew” and “Arab” became radically opposed political and cultural figures. While this remains the case for several decades within Israel, resulting in an active suppression of “Mizrahi” (Jews from the Levant and the Maghreb) culture, memory, and affiliations, the past two decades have been characterized by a boom in the production of Mizrahi art, music, and literature as well as a great development of a political and epistemological position that refuses to set “Jew” and “Arab” apart.
In this course we will engage a broad theoretical spectrum of texts dealing with questions of memory, representation, hegemonic (state) power and the ability of counter-hegemonic cultural forces to de-colonialize structures of power. We will accompany these general theoretical readings with historical, political and literary texts by and about “Arabs,” and “Jews” that is by and about the relationship between these two figures, which in many cases, as we shall see, is not really two figures, but one. Finally we will explore the cultural and political meaning behind these literary productions and other projects. Are they mainly about the reconstructing the past? Reviving otherwise lost memories? Or should they be read as futuristic texts, invested in recovering the past bonds between “Jew” and “Arab” (often within the self) for the sake of creating an alternative future?
This course presents an overview of migration, from the selective pressures animals face in migrating to the mechanisms of navigation and orientation. We will explore migration in a variety of animal taxa. Bird migration will be studied in-depth, as birds exhibit some of the most spectacular long distance migrations and are the most well-studied of animal migrators. The challenges of global climate change and changing land use patterns, and how species are coping with them, will also be explored.
Prerequisites: STAT GU4206.
The course will provide an introduction to Machine Learning and its core models and algorithms. The aim of the course is to provide students of statistics with detailed knowledge of how Machine Learning methods work and how statistical models can be brought to bear in computer systems - not only to analyze large data sets, but to let computers perform tasks that traditional methods of computer science are unable to address. Examples range from speech recognition and text analysis through bioinformatics and medical diagnosis. This course provides a first introduction to the statistical methods and mathematical concepts which make such technologies possible.
Prerequisites: STAT GU4206 or the equivalent.
This course will incorporate knowledge and skills covered in a statistical curriculum with topics and projects in data science. Programming will covered using existing tools in R. Computing best practices will be taught using test-driven development, version control, and collaboration. Students finish the class with a portfolio on GitHub, and deeper understanding of several core statistical/machine-learning algorithms. Bi-weekly project cycles throughout the semester provide students extensive hands-on experience with various data-driven applications.
Prerequisites: Arabic language reading past the Intermediate level.
This graduate seminar, open to advanced undergraduates with instructor permission, is an in-depth study of the arts and techniques of
adab
, Classical Arabic ‘literature.’ We will explore the understanding of premodern Arabic conceptions of
adab
, foundation texts and canon, as well as the role of the Qur’an in the development of literary culture through a sensitive reading of primary Arabic literary texts. The broad range of Arabic literary creativity enables comparative readings of various authors, styles, and genres (
khabar, qiṣṣa, maqāma, risāla
, anthologies, etc.) and a familiarization of literary concepts, tools, terms and techniques and literary history. We will read selections from various texts and authors covering a wide range of levels of literary and language demands in Arabic. An advanced understanding of the workings of
adab
through examining their theoretical background and literary networks comprise our weekly
adab
seminar.
Prerequisites: one year of calculus-based general physics.
The goal of this course is to provide a basic hands-on introduction to the practice and theory of scientific computing with applications in astronomy and astrophysics. The course will include an introduction to programming, as well as a sampling of methods and tools from the field of scientific computing. The course will include a hands-on project in which students use numerical methods to solve a research problem. Students who are interested in participating in research projects are strongly encouraged to take the course in their sophomore or junior year.
Prerequisites: ECON UN3211 and ECON UN3213 and STAT UN1201
This course uses modern microeconomic tools for understanding markets for indivisible resources and exploring ways to improve their design in terms of stability, efficiency and incentives. Lessons of market design will be applied to developing internet platforms for intermediating exchanges, for auctions to allocate sponsored search advertising, to allocate property rights such as public lands, radio spectrums, fishing rights, for assigning students to public schools, and for developing efficient kidney exchanges for transplantation.
Prerequisites: STAT GU4205 or the equivalent.
A fast-paced introduction to statistical methods used in quantitative finance. Financial applications and statistical methodologies are intertwined in all lectures. Topics include regression analysis and applications to the Capital Asset Pricing Model and multifactor pricing models, principal components and multivariate analysis, smoothing techniques and estimation of yield curves statistical methods for financial time series, value at risk, term structure models and fixed income research, and estimation and modeling of volatilities. Hands-on experience with financial data.
Prerequisites: STAT GU4203. STAT GU4207 is recommended.
A careful review of the concept of stochastic process as a model of random phenomena evolving through time and of conditional expectation, basic Markov process theory, and the exponential distribution. Marked point processes and their compensators, beginning with Poisson processes, and proceeding through general marked point processes. The use of compensators will be justified by the Doob-Meyer decomposition theorem, and as such it will connect the theory to martingales. Markov processes will enter to provide a description of sufficient conditions for the compensators to have absolutely continuous paths (and as such, have "hazard rates"). Applications to survival analysis and, especially, to mathematical finance, including default and bankruptcy models. Cox process construction. This is a core course in the MS program in mathematical finance.
Prerequisites: STAT GU4264.
Mathematical theory and probabilistic tools for modeling and analyzing security markets are developed. Pricing options in complete and incomplete markets, equivalent martingale measures, utility maximization, term structure of interest rates. This is a core course in the MS program in mathematical finance.
“A dance on the edge of the volcano” is how the historian Peter Gay described the culture of the Weimar Republic (1919-1933). Bookended by the devastation of World War I and the rise of the Nazi regime, the Weimar period is remembered as the zenith of German-Jewish culture. What was unique about German culture between the wars that encouraged Jewish involvement, and how did the Jews leave their mark on this culture? Why were those who contributed most to German culture targeted by those responsible for its demise? This advanced undergraduate and graduate seminar offers a close look at German-Jewish culture of the interwar period through literature, visual art, architecture and cinema. We will examine the cultural richness of the Weimar Republic and the economic and political upheaval that led to the rise of totalitarianism and the decline of Jewish life and culture in Germany. We will also explore the legacy of German-Jewish culture in two major sites of exile and immigration: the United States and Israel. Each week we will discuss primary and secondary texts along with a related film.
Prerequisites: STAT GU4204 or the equivalent.
A one semester course covering: simple and multiple regression, including testing, estimation, and confidence procedures, modeling, regression diagnostics and plots, polynomial regression, colinearity and confounding, model selection, geometry of least squares. Linear time series models. Auto-regressive, moving average and ARIMA models. Estimation and forecasting with time series models. Confidence intervals and prediction error. Students may not receive credit for more than two of
STAT W4315
,
W4437
, and
W4440
. Satisfies the SOA VEE requirements in regression and in time-series.
Prerequisites: STAT GU4205 and at least one statistics course numbered between GU4221 and GU4261.
This is a course on getting the most out of data. The emphasis will be on hands-on experience, involving case studies with real data and using common statistical packages. The course covers, at a very high level, exploratory data analysis, model formulation, goodness of fit testing, and other standard and non-standard statistical procedures, including linear regression, analysis of variance, nonlinear regression, generalized linear models, survival analysis, time series analysis, and modern regression methods. Students will be expected to propose a data set of their choice for use as case study material.
Prerequisites: calculus, differential equations, one year of college physics.
An introduction to properties of the Earth's mantle, fluid outer core, and solid inner core. Current knowledge of these features is explored, using observations of seismology, heat flow, gravity, geomagnetism, plus information on the Earth's bulk composition.