MULTISCALE COMP SCI & ENGIN

Introduction to multiscale analysis. Information-passing bridging techniques: among them, generalized mathematical homogenization theory, the heterogeneous multiscale method, variational multiscale method, the discontinuous Galerkin method and the kinetic Monte Carlo–based methods. Concurrent multiscale techniques: domain bridging, local enrichment, and multigrid-based concurrent multiscale methods. Analysis of multiscale systems.

• Department: Civil Engineering and Engineering Mechanics
• R 1:10 p.m.-3:40 p.m.
• Instructor: Jacob Fish
  CULPA: 1 Wikipedia h-index: 54 Info
• 3 points

Literati Culture in Pre-Modern China

Literati Cult. Pre-Mod. C

Premodern Chinese literati have long been regarded as active historical agents who shaped “This Culture of Ours”—a metonym for civilization in the premodern Sinitic context—while they also fed from, partook in, and influenced popular and foreign cultures. Besides “literary writings” like poetry and prose, literati also engaged in calligraphy, painting, and antiquarianism under the umbrella term of “literary or cultural arts.” In turn, the creation and appreciation of artwork were intrinsic to the aesthetic life of literati community and further established their self-identity. At the same time, social exclusivity, (self-)doubt and identity crises, along with the looming threat of cultural decline, have continually haunted this literati community throughout the ages.

Covering the long trajectory of imperial China, this course reveals the birth and development of literati culture. In particular, we take an interdisciplinary approach, introducing intellectual and poetic discourses, socio-historical contexts, literary criticism, visual and material culture, to envision a “common ground” for their civil world. Textual, visual sources plus material objects are meant to have conversations with each other in this course. Important issues include historical transformations of the elite class, cultural geography in different eras, materiality and visuality of elite calligraphy and painting, literati self-expression through aesthetic practice, the roles of the court and literati in producing and preserving art, as well as other relevant issues such as gender studies, vernacular literature, and commodity society.

This course is cross-listed in AMEC and CPLT. For undergraduates, no background in Chinese language is required in this course, and all reading materials—either translation of primary sources or secondary scholarship—are accessible in English.

• Department: Asian and Middle East @Barnard
• W 2:10 p.m.-4 p.m.
• Instructor: Lili Xia
  Info
• 4 points

POLITICAL ECONOMY

The objective of this course is to develop understanding of how political institutions and behavior shape economic outcomes, and vice versa. Starting from the micro level study of political behavior, we will build up to analyze the internal workings of institutions and ultimately macro level economic and political outcomes. During the course we will cover the following topics

• Limits and potential of markets

• Public goods provision

• Voting

• Redistribution

• Department: Economics
• MW 10:10 a.m.-11:25 a.m.
• Instructor: Alessandra Casella
  CULPA: 8 Wikipedia h-index: 30 Info
• 3 points

PHONETICS & PHONOLOGY

Prerequisites: LING UN3101 An investigation of the sounds of human language, from the perspective of phonetics (articulation and acoustics, including computer-aided acoustic analysis) and phonology (the distribution and function of sounds in individual languages).

• Department: Slavic Languages
• TR 11:40 a.m.-12:55 p.m.
• Instructor: Meredith Landman
  CULPA: 1 h-index: 5 Info
• 3 points

A Political Introduction to the Christia

Pol Intro Christian Scrip

In this course we will examine the New Testament canon and the twenty-seven texts that comprise it in light of their respective literary genres, their Jewish antecedents and Greco-Roman influences, which will include their historical, social, cultural, political and economic contexts, and the ways these factors impinged upon their various dimensions of meaning. Various modes of biblical interpretation, both ancient and contemporary, will be explored. A major emphasis will be on the ways select texts are utilized, misconstrued and weaponized in the public sphere in this contemporary moment.

• Department: Religion
• W 12:10 p.m.-2 p.m.
• Instructor: Obery Hendricks
  Wikipedia Info
• 4 points

Strange Resonances, Close Listening

How does one live with sound and move within worlds of sound? In pursuit of this question the course explores: soundscapes and sound arts; echoes of audible pasts and resonances of auditory cultures; sound and the uncanny; repetitive listening in the age of electronic reproduction, ethereal transmissions, and audio-vision; sounds at the edges of listening with experimental music and sonic installations.  Sound, chambers, noise, feedback, voice, resonance, silence: from the sirens of the Odyssey, to compositional figures ala John Cage, to contemporary everyday acoustical encounters, if one were to really listen, closely, how might one write about sound?  How might one rethink the ties between sound and image?  How then might one think with sound, and through sound?

• Department: Anthropology
• T 2:10 p.m.-4 p.m.
• Instructor: John Pemberton
  CULPA: 15 Wikipedia Info
• 3 points

REINVENTING LIVING

• Department: Architecture, Planning and Preservation
• M 11 a.m.-1 p.m.
• Instructor: Luis Carranza
  Info
• 3 points

The Holocaust in the USSR

Following the trials of the immediate postwar, and the
Historikerstreit
of the 1980s, the study of the Holocaust has another significant turn with the opening of the Soviet archives beginning in the 1990s. The Holocaust in the USSR expands our knowledge of the catastrophe, situating the latter phases of emblematic extermination camps like Auschwitz-Birkenau against a longer continuum of personalized, individual violence. The “Holocaust by Bullets” as coined by Father Desbois has parallels to other colonial violence and further explains the genocidal process from dehumanization to militarily crafted murder to institutions of extermination. This course specifically addresses the Holocaust in the USSR with a focus on historical research methods, expanded victim groups, testimony, archival research, denial, and rigorous historiographical grounding. Materials include testimonies from the USC Shoah Foundation and Fortunoff Archives, historiographical surveys like Wachsmann’s
KL
and

Friedländer’s
Years of Extermination
, and important books with new turns in Holocaust scholarship specifically on the USSR like Lower’s
Hitler’s Furies
and Snyder’s
Black Earth
. Our class will be supplemented by field trips to YIVO, the Bukharian Jewish Center, and the Museum of Jewish Heritage, giving students hands-on experience with archival materials and research methods. Together, diverse research methods and materials present students with a more complete understanding of the Holocaust and an excellent foundation to continue research in atrocity studies.

• Department: History
• W 12:10 p.m.-2 p.m.
• Instructor: Alexandra Birch
  Info
• 4 points

Introduction to Media and Cultural Studi

Intro Media Cultural Stud

This course serves as an introduction to key texts, concepts, and thinkers in Media and Cultural Studies. Rather than presenting a reductionist, linear narrative that uncritically traces the triumphs of Western technological innovations and genius individuals, this course instead explores media as organizational and management devices that produce particular kinds of knowledge and power, including by influencing our understanding of social issues and social justice.

We will explore how media, as vehicles of knowledge production, are intimately connected to meaning-making, policing, and exclusion practices. At the same time, media can be repurposed as instruments for liberation struggles and emancipatory imaginaries of all kinds. Throughout the course, we will learn about these themes both through the lens of a critical history of the present, emphasizing the long-standing value struggles that underpin media environments and inform practices of re-mediation and cultural production, and also through being in conversation with recent trends in media studies and contemporary social issues.

• Department: Comparative Literature and Society, Institute for
• W 2:10 p.m.-4 p.m.
• Instructor: Irina Kalinka
  Info
• 3 points

Global New York

“Wall Street is a disaster area”—so declared a real estate lawyer in a 1974
New York Times
story on the pitiful state of lower Manhattan. The World Trade Center had been inaugurated in 1973 as a beacon of global capitalism with a mandate to lease only to international firms. A year later, much of the Twin Towers went unoccupied. Some eight million square feet of financial district office space sat empty, brokerage houses were shuttering at a rate of more than one per day, and the surrounding city was hurtling towards a full-blown fiscal crisis. The New York of the mid-1970s did not appear destined to become the model global city we know today. Within a decade, however, the city had transformed into a central node—arguably
the
central node—in the ballooning global financial industry and its accompanying class and cultural formations. But this outcome was never guaranteed. How did New York go from “Fear City” to “Capital of the World”? What historical structures, contingencies, and policy decisions produced Global New York?

This course examines New York City’s long history as a site of globalization. Since European colonization, New York has served as a hub in world-spanning networks of capital, goods, and people.

At the same time, the city’s reinvention in the late-20th century as a “global city”—defined in large part by its deep embeddedness in world financial markets—represented a fundamental shift in the city’s economy, governance, demography, cultural life, and social relations.

We will interrogate how this came to be by exploring New York’s historical role in global business, culture, and immigration, with attention to how local and national conditions have shaped the city’s relationship to the world. While critically analyzing how elites both in and outside New York have wielded power over its politics and institutions, readings and discussions will also center the voices of New Yorkers drawn from the numerous and diverse communities that make up this complex city.

• Department: Committee on Global Thought
• T 2:10 p.m.-4 p.m.
• Instructor: Sarah A Miller-Davenport
  Info
• 3 points

CHEMICAL PROCESS DEVELOPMENT

Chemical engineering fundamentals as applied to process research, development, and manufacturing of pharmaceutical products. Course topics include: comprehensive overview of the biopharmaceutical business (therapeutic areas, markets, drug discovery, clinical development, commercialization), process research, creation, development, optimization, sustainability, green chemistry and engineering, safety (patient, process, and personnel), unit operations and associated calculations relevant to pharmaceutical processes, process scale-up, implementation, assessment, technology transfer, new technologies, economic analysis, drug product formulation and manufacturing, and regulatory considerations. Case studies and real-life examples are presented throughout the course.

• Department: Chemical Engineering
• W 7 p.m.-9:30 p.m.
• Instructor: Elias C Mattas
  CULPA: 3 Info
• 3 points

Histories and Representations of the Bro

Histories & Rep of the Br

The history of the Bronx is a history of the struggles, political coalitions, and creative contributions of the dispossessed. To tell the story of the Bronx is to tell the story of how historically marginalized communities have survived and made a home in environments forsaken by the state. And yet, in the popular imagination, the Bronx often circulates simply as a symbol of urban abjection, as the necessary foil against which prosperous urban spaces define themselves. Many of these "Bronx tales" invariably relegate the borough both materially and imaginatively to the past—infused with either white ethnic nostalgia of a lost Bronx innocence or with battle-scar bravado won on its mean streets. This interdisciplinary course invites students to interrogate these long-standing narratives about the Bronx through a critical study of the borough’s rich history and enduring cultural, political, and artistic traditions during the past century. This course explores a variety of movements and artifacts that have been central to the making of the Bronx such as: efforts to establish affordable housing, public art-making, the literary tradition of Bronx coming-of-age stories, grassroots organizing for immigrant rights, struggles against gentrification and environmental racism, and the inter-ethnic collaborations that led to the emergence of hip hop. Students will have the opportunity to embark on field trips and will undertake a wide array of methods including oral histories, performance analysis, archival research, ethnography, mapping, as well as opportunities to engage in creative art-making. By the end of the semester, students will gain a nuanced understanding of the central role that Bronx communities have played in the making of modern New York City.

• Department: Ethnicity and Race, Center for
• R 10:10 a.m.-noon
• 4 points

Corporate Finance, Accounting & Investme

CorpFin, Account & Invest

Interpret financial statements, build cash flow models, value projects, value companies, and make Corporate Finance decisions. Additional topics include: cost of capital, dividend policy, debt policy, impact of taxes, Shareholder/Debtholder agency costs, dual-class shares, using option pricing theory to analyze management behavior, investment banking activities, including equity underwriting, syndicated lending, venture capital, private equity investing and private equity secondaries. Application of theory in real-world situations: analyzing financial activities of companies such as General Electric, Google, Snapchat, Spotify, and Tesla.

• Department: Industrial Engineering and Operations Research
• W 5:40 p.m.-7:55 p.m.
• Instructor: Rodney Sunada-Wong
  Info
• 3 points

SIMULATION

Generation of random numbers from given distributions; variance reduction; statistical output analysis; introduction to simulation languages; application to financial, telecommunications, computer, and production systems. Graduate students must register for 3 points. Undergraduate students must register for 4 points. Note: Students who have taken IEOR E4703 Monte Carlo simulation may not register for this course for credit. Recitation section required.

• Department: Industrial Engineering and Operations Research
• TR 4:10 p.m.-5:25 p.m.
• Instructor: Henry Lam
  h-index: 17 Info
• 3 points

GAME THEOR MODELS OF OPERATION

Required for undergraduate students majoring in OR:FE and OR. A mathematically rigorous study of game theory and auctions, and their application to operations management. Topics include introductory game theory, private value auction, revenue equivalence, mechanism design, optimal auction, multiple-unit auctions, combinatorial auctions, incentives, and supply chain coordination with contracts. No previous knowledge of game theory is required.

• Department: Industrial Engineering and Operations Research
• MW 4:10 p.m.-5:25 p.m.
• Instructor: Jay Sethuraman
  CULPA: 10 Info
• 3 points

PRIN OF ULTRASOUND IN MEDICINE

ULTRASOUND IN DIAGNOSTC IMAGNG

Fourier analysis. Physics of diagnostic ultrasound and principles of ultrasound imaging instrumentation. Propagation of plane waves in lossless medium; ultrasound propagation through biological tissues; single-element and array transducer design; pulse-echo and Doppler ultrasound instrumentation, performance evaluation of ultrasound imaging systems using tissue-mimicking phantoms, ultrasound tissue characterization; ultrasound nonlinearity and bubble activity; harmonic imaging; acoustic output of ultrasound systems; biological effects of ultrasound.

• Department: Biomedical Engineering
• W 2:30 p.m.-5 p.m.
• Instructor: Elisa Konofagou
  Wikipedia h-index: 71 Info
• 3 points

FUNDAMENTALS OF PHOTONICS

Planar resonators. Photons and photon streams. Photons and atoms: energy levels and band structure; interactions of photons with matter; absorption, stimulated and spontaneous emission; thermal light, luminescence light. Laser amplifiers: gain, saturation, and phase shift; rate equations; pumping. Lasers: theory of oscillation; laser output characteristics. Photons in semiconductors: generation, recombination, and injection; heterostructures; absorption and gain coefficients. Semiconductor photon sources: LEDs; semiconductor optical amplifiers; homojunction and heterojunction laser diodes. Semiconductor photon detectors: p-n, p-i-n, and heterostructure photo diodes; avalanche photodiodes.

• Department: Electrical Engineering
• W 4:10 p.m.-6:40 p.m.
• Instructor: Michal Lipson
  CULPA: 1 Wikipedia h-index: 114 Info
• 3 points

ADVANCED ECONOMETRICS

Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 and MATH UN2010 Students must register for required discussion section. The linear regression model will be presented in matrix form and basic asymptotic theory will be introduced. The course will also introduce students to basic time series methods for forecasting and analyzing economic data. Students will be expected to apply the tools to real data.

• Department: Economics
• TR 2:40 p.m.-3:55 p.m.
• 4 points

GAME THEORY

Prerequisites: ECON UN3211 and ECON UN3213 Introduction to the systematic treatment of game theory and its applications in economic analysis.

• Department: Economics
• MW 10:10 a.m.-11:25 a.m.
• Instructor: Evan D Sadler
  Info
• 3 points

TRANSPORTATION ANALYTICS & LOGISTICS

Transportation, primarily focused on the movement of people, and logistics, primarily focused on the movement of goods, are two of the most fundamental challenges to modern society. To address many problems in these areas, a wide array of mathematical models and analytics tools have been developed. This class will introduce many of the foundational tools used in transportation and logistics problems, relying on ideas from linear optimization, integer optimization, stochastic processes, statistics, and simulation. We will address problems such as optimizing the routes of cars and delivery trucks, positioning emergency vehicles, and controlling traffic behavior. Moreover, we will discuss modern issues such as bicycle sharing, on-demand car and delivery services, humanitarian logistics, and autonomous vehicles. Concepts will be reinforced with technical content as well as real-world data and examples.

• Department: Industrial Engineering and Operations Research
• TR 11:40 a.m.-12:55 p.m.
• Instructor: Adam N Elmachtoub
  CULPA: 1 h-index: 13 Info
• 3 points

ITALIAN NEOREALISM

• Department: Italian
• T 2:10 p.m.-4 p.m.
• Instructor: Elizabeth Leake
  Info
• 3 points

MODAL LOGIC

• Department: Philosophy
• MW 2:40 p.m.-3:55 p.m.
• Instructor: Tamar A Lando
  CULPA: 8 Info
• 3 points

PEOPLE OF THE OLD SOUTH

No place or period in American history has ignited more passion or brought into being a richer trove of first-rate scholarship than the South during the years before the Civil War. On the other hand, no place or period in American history has generated more misguided scholarship or more propaganda. In this course, students will sample historical literature and primary sources about the Old South, evaluating the interpretations historians have offered and scrutinizing some of the documents on which historians of the Old South have based their conclusions.

• Department: History
• R 4:10 p.m.-6 p.m.
• Instructor: Barbara J Fields
  CULPA: 22 Wikipedia Info
• 4 points

ARCH APROPOS ART

• Department: Architecture, Planning and Preservation
• R 11 a.m.-1 p.m.
• 3 points

MODELING & ID OF DYNAMIC SYST

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.

• Department: Mechanical Engineering
• R 7 p.m.-9:30 p.m.
• Instructor: Nicolas W Chbat
  Info
• 3 points

INTERLACED EXISTENCE; DEATH, LIFE, LIMIN

• Department: Architecture, Planning and Preservation
• T 11 a.m.-1 p.m.
• Instructor: Karla M Rothstein
  Wikipedia Info
• 3 points

PROGRAMMING & PROBLEM SOLVING

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.

• Department: Computer Science
• MW 1:10 p.m.-2:25 p.m.
• Instructor: Kenneth A Ross
  Info
• 3 points

The Future City: Transforming Urban Infr

Future City: Transform Ur

Introduces students to technological innovations that are helping cities around the world create healthier, safer, more equitable, and more resilient futures. Focus on architecture, urban design, real estate development, structural, civil and mechanical engineering, data analytics, and smart communication technologies. Course covers five distinct sectors in the field of urban infrastructure, including transportation and mobility, buildings, power, sanitation, and communications. A Columbia Cross-Disciplinary Course.

• Department: Architecture, Planning and Preservation
• T 1 p.m.-3 p.m.
• 3 points

Music and Global Women

This course offers a comparative exploration of women music practitioners from cross-cultural perspectives, examining their music, oral histories, and lived experiences as well as the impact of these experiences on their music-making in a global context. By tracing the journeys and analyzing the music of specific selected women musicians from various regions, the course investigates their participation in art music, traditional music, popular music, and sacred music from women’s perspectives. Engaging primarily with their music and interviews, the course particularly examines the comparative roles of women as active creators, performers, sponsors, and consumers of music, highlighting how their lived experiences shape their musical contributions. Students will be introduced to critical concepts for analyzing representations of gender, class, ethnicity, nationalism, race, and globalization in music while exploring these women’s sounds, identities, and performances.

• Department: Music
• M 2:10 p.m.-4 p.m.
• Instructor: Ruth Opara
  Info
• 3 points

PRIN-INNOVATN/ENTREPRENEURSHIP

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.

• Department: Computer Science
• MW 8:40 a.m.-9:55 a.m.
• Instructor: William Reinisch
  CULPA: 1 Info
• 3 points

SUPERVISED INDEPENDENT RESEARCH

All supervisors will be Columbia faculty who hold a PhD. Students are responsible for identifying their own supervisor and it is at the discretion of faculty whether they accept to supervise independent research. Projects must be focused on Hellenic Studies and can be approached from any disciplinary background. Students are expected to develop their own reading list in consultation with their supervisor. In addition to completing assigned readings, the student must also write a Hellenic studies paper of 20 pages. Projects other than a research paper will be considered on a case-by-case basis. Hellenic Studies is an interdisciplinary field that revolves around two main axes: space and time. Its teaching and research are focused on the study of post-classical Greece in various fields: Language, Literature, History, Politics, Anthropology, Art, Archaeology, and in various periods: Late Antique, Medieval, Byzantine, Modern Greek etc. Therefore, the range of topics that are acceptable as a Hellenic Studies seminar paper is broad. It is upon each supervisor to discuss the specific topic with the student. The work submitted for this independent study course must be different from the work a student submits in other courses, including the Hellenic Studies Senior Research Seminar.

• Department: Classics
• Instructor: Nikolas Kakkoufa
  Info
• Instructor: Stathis Gourgouris
  CULPA: 4 Wikipedia Info
• Instructor: Dimitris Antoniou
  h-index: 5 Info
• Instructor: Karen Van Dyck
  Wikipedia Info
• Instructor: Paraskevi Martzavou
  CULPA: 2 Info
• 3 points

Materials Selection for Mechanical Desig

Materials for Mechanical

Understanding the properties and behavior of materials is critical to the mechanical design and subsequent function of any product or part – including wide-ranging applications from aircraft fuselage to robotic manipulators to flexures to telescope mirrors to flywheels to sports equipment to thermal insulators. This course provides a fundamental understanding of the microstructure of a range of materials (metals, polymers, ceramics, composites, hybrid) and the connection to design-determining or limiting properties including stiffness, expansion, thermal expansion, strength, energy storage and dissipation, toughness, and fatigue. Objective functions which are used to determine a “material index” for the selection of the best materials for use in a particular mechanical design are developed, underscoring the combined role of material properties and loading conditions in optimizing for materials selection. For example, take the case of determining a material index for selecting a best set of materials for a lightweight, stiff beam – how do the material density and elastic modulus together with the beam geometry and loading conditions factor in to determining the material index for materials selection? Note that the resulting material index for selecting best materials for a lightweight stiff beam (bending) is different than that for a lightweight stiff rod (tension). The material indices provide the framework for construction and use of materials selection charts to rapidly compare the effectiveness of wide-ranging materials for different applications.

• Department: Mechanical Engineering
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Mary Boyce
  Info
• 3 points

POST-1965 JAZZ

• Department: Music
• W 2:10 p.m.-4 p.m.
• Instructor: Kevin Fellezs
  CULPA: 4 Info
• 4 points

THE HISTORY OF ARCH THEORY

• Department: Architecture, Planning and Preservation
• W 11 a.m.-1 p.m.
• Instructor: Mark Wigley
  Wikipedia Info
• 3 points

Deep Learning for Biomedical Signal Proc

Introduction to methods in deep learning, focus on applications to biomedical signals and sequences. Review of traditional methods for analysis of signals and sequences. Temporal convolutional neural networks and recurrent neural networks. Long-short term memory (LSTM) models and deep state-space models. Theory and methods lectures accompanied with examples from biomedical signal and sequence analysis, including analysis of electroencephalogram (EEG), electrocardiogram (ECG/EKG), and genomics. Programming assignments use tensorflow/keras. Exams and final project required.

• Department: Biomedical Engineering
• M 4:10 p.m.-6:40 p.m.
• Instructor: Paul Sajda
  CULPA: 3 h-index: 47 Info
• 3 points

Neural Plasticity

This seminar provides an overview of the mechanisms and behaviors associated with neural plasticity. Students will obtain a basic working knowledge of the different types of neural plasticity, and how these affect cognition and behaviors.

• Department: Psychology
• W 4:10 p.m.-6 p.m.
• Instructor: Tina Kao
  CULPA: 10 Info
• 4 points

OPTICAL SYSTEMS

OPTICAL SYSTEMS & NETWORKS

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.

• Department: Electrical Engineering
• R 10:10 a.m.-12:40 p.m.
• Instructor: Christine P Hendon
  Wikipedia h-index: 21 Info
• 3 points

Early American Law and Society

How does law shape the way that people live together in society, and how do changes in society bring about changes in the law? How is law lived on the ground, and how did its subjects think about it and use it for their own purposes?  In this class, we will read recent and significant scholarship in the history of the early American republic (c. 1776-1840) that explores these questions, drawing on the history of the law and legal sources.

Although this class will touch on some of the better-known arguments among scholars of legal history, its approach will be more practical than theoretical. Its primary focus will not be on the evolution of American law as a conceptual matter, or on philosophical arguments about the nature of the law. Rather, students in this class will read in order to become better researchers: to learn more about how law
worked
in the early American republic, about the institutions through which it operated, about how it changed over time, and how it formed (and was formed by) American society. This reading-intensive class is intended for graduate students and advanced undergraduate students who are interested in the history of the law, or in conducting research projects that draw extensively on legal sources. For undergraduates, previous coursework in US history is strongly recommended.

• Department: History
• M 10:10 a.m.-noon
• Instructor: Hannah Farber
  h-index: 1 Info
• 4 points

BEHAVIORAL EPIGENETICS

Prerequisites: basic background in neurobiology (for instance PSYC UN1010, UN2450, UN2460, UN2480, and GU4499) and the instructors permission. This course will provide an overview of the field of epigenetics, with an emphasis on epigenetic phenomena related to neurodevelopment, behavior and mental disorders. We will explore how epigenetic mechanisms can be mediators of environmental exposures and, as such, contribute to psychopathology throughout the life course. We will also discuss the implications of behavioral epigenetic research for the development of substantially novel pharmacotherapeutic approaches and preventive measures in psychiatry.

• Department: Psychology
• F 2:10 p.m.-4 p.m.
• Instructor: Jennifer Blaze
  Info
• 4 points

Functional Genomics: Methods and Applica

Introduces approaches for the functional genomic analysis of biological systems and their use to define genotype-phenotype relationships. Genetic variation, gene expression and regulation at the epigenome, chromatin organization level, and link between gene and protein expression covered. Case studies covered: study of cancer and cancer-associated processes, neuro-biology, and organismal development. The presented methods study these events at the genome, epigenome, transcriptome, and proteome levels.Approaches that increase the resolution of functional genomic assays to the level of individual cells, spatial profiling, integration with genetic and chemical screening methods, and their application to chemical genomic approaches also studied.  Programming assignments and a final project required.

• Department: Biomedical Engineering
• T 1:10 p.m.-3:40 p.m.
• Instructor: Jose McFaline-Figueroa
  Info
• 3 points

PROCESS & PRODUCT DESIGN I

The practical application of chemical engineering principles for the design and economic evaluation of chemical processes and plants. Use of ASPEN Plus for complex material and energy balances of real processes. Students are expected to build on previous coursework to identify creative solutions to two design projects of increasing complexity. Each design project culminates in an oral presentation, and in the case of the second project, a written report.

• Department: Chemical Engineering
• W 1:10 p.m.-2:25 p.m.
• Instructor: Sakul Ratanalert
  Info
• 4 points

INTERNATIONAL TRADE

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.

• Department: Economics
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Waseem Noor
  CULPA: 7 Info
• 3 points

SOCIO-ECONOMIC RIGHTS

The course addresses selected issues in the protection of socio-economic rights in an international and comparative perspective. Socio-economic rights have emerged from the margins into the mainstream of human rights. The course will take this status as its starting point and examine the human rights to housing, food, water, health and sanitation in depth. We will explore conceptual issues through the lens of specific rights which will help us ground these principles and ideas in concrete cases. We will discuss developments on socioeconomic rights and examine their relevance in the United States as well as selected other countries, particularly those with progressive legislation, policies and jurisprudence. What is the meaning and scope of the rights to housing, food, water, health and sanitation? What is the impact of discrimination and inequalities on the enjoyment of socio-economic rights? How can governments be held accountable for the realization of human rights? What machinery is there at the international level to ensure that the rights are protected, respected and fulfilled? How can this machinery be enhanced? How can judicial, quasijudicial, administrative and political mechanisms be used at the domestic level? What is the role of different actors in the context of human rights, the role of States and individuals, but also (powerful) non-State actors and civil society? How have activists and policymakers responded to challenges? And what lies ahead for the human rights movement in addressing economic and social rights in a multilateral, globalized world?

• Department: Institute for Study of Human Rights
• T 12:10 p.m.-2 p.m.
• Instructor: Jacqueline Dugard
  Info
• 3 points

APPLICATIONS PROGRAMMNG FOR FE

We will take a hands-on approach to developing computer applications for Financial Engineering. Special focus will be placed on high-performance numerical applications that interact with a graphical interface. In the course of developing such applications we will learn how to create DLLs, how to integrate VBA with C/C++ programs, and how to write multithreaded programs. Examples of problems settings that we consider include simulation of stock price evolution, tracking, evaluation and optimization of a stock portfolio; optimal trade execution. In the course of developing these applications, we review topics of interest to OR:FE in a holistic fashion.

• Department: Industrial Engineering and Operations Research
• MW 10:10 a.m.-11:25 a.m.
• Instructor: Anran Hu
  Info
• 3 points

JAZZ TRANSCRIPTION & ANALYSIS

Prerequisites: the instructors 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.

• Department: Music
• MW 4:10 p.m.-5:25 p.m.
• Instructor: Ole Mathisen
  Wikipedia Info
• 3 points

Biochemistry

Biochemistry I

In this course, we will explore the basic biochemistry of living systems and how this knowledge can be harnessed to create new medicines. We will learn how living systems convert environmental resources into energy through metabolism, and how they use this energy and these materials to build the molecules required for the diverse functions of life. We will discuss the applications of this biochemical knowledge to mechanisms of disease and to drug discovery. We will look at examples of drug discovery related to neurodegeneration, cancer, and the SARS-CoV-2 COVID19 pandemic. This course satisfies the requirement of most medical schools for introductory biochemistry, and is suitable for advanced undergraduates, and beginning graduate students. This course is equivalent to and replaces the prior course named UN3501, and is equivalent to the course offered in the summer.

• Department: Biological Sciences
• TR 2:40 p.m.-3:55 p.m.
• Instructor: Mary Ann Price
  CULPA: 5 Info
• 3 points

Biomaterials and Scaffold Design

An introduction to the strategies and fundamental bioengineering design criteria in the development of biomaterials and tissue  ngineered grafts. Materials structuralfunctional relationships, biocompatibility in terms of material and host responses. Through discussions, readings, and a group design project, students acquire an understanding of cell-material interactions and identify the  arameters critical in the design and selection of biomaterials for biomedical applications.

• Department: Biomedical Engineering
• T 1:10 p.m.-3:40 p.m.
• Instructor: Helen Lu
  CULPA: 1 h-index: 54 Info
• 3 points

PROCESS SAFETY

Aimed at seniors and graduate students. Provides classroom experience on chemical engineering process safety as well as Safety in Chemical Engineering certification. Process safety and process control emphasized. Application of basic chemical engineering concepts to chemical reactivity hazards, industrial hygiene, risk assessment, inherently safer design, hazard operability analysis, and engineering ethics. Application of safety to full spectrum of chemical engineering operations.

• Department: Chemical Engineering
• MW 11:40 a.m.-12:55 p.m.
• None None-None
• Instructor: Robert G Bozic
  Info
• 3 points

TOOLS FOR ANALYTICS

MS IEOR students only. Introduction programming in Python, tools with the programmer's ecosystem. Python, Data Analysis tools in Python (NumPy, pandas, bokeh), GIT, Bash, SQL, VIM, Linux/Debia, SSH.

• Department: Industrial Engineering and Operations Research
• M 7:10 p.m.-9:40 p.m.
• Instructor: Lynn Root
  Info
• 3 points

ITALIAN CULTURAL STUDIES I

An interdisciplinary investigation into Italian culture and society in the years between Unification in 1860 and the outbreak of World War I. Drawing on novels, historical analyses, and other sources including film and political cartoons, the course examines some of the key problems and trends in the cultural and political history of the period. Lectures, discussion and required readings will be in English. Students with a knowledge of Italian are encouraged to read the primary literature in Italian.

• Department: Italian @Barnard
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Nelson Moe
  CULPA: 10 h-index: 6 Info
• 3 points

READINGS IN HEBREW TEXTS II

Prerequisites: MDES W4501 or the instructors permission. Students must have a good familiarity with the Hebrew verb system, and the ability to read a text without vowels. This course focuses on central identities shaping Israeli society and is designed to give students extensive experience in reading Hebrew. Through selected readings of contemporary literary works and media texts, students will increase their proficiency in Hebrew and enhance their understanding of Israeli culture and society. All readings, written assignments, and class discussions are in Hebrew. No P/D/F or R credit is allowed for this class.

• Department: Middle Eastern, South Asian and African Studies
• MW 12:10 p.m.-2 p.m.
• Instructor: Naama Harel
  CULPA: 1 Info
• 4 points

Frontiers of Tough Tech

Survey of frontier research in technological areas to address world's most important challenges.  Areas include advanced materials, biotech, and sustainability and climate. Convergence of breakthrough research with entrepreneurship, industry, and policy.

• Department: Industrial Engineering and Operations Research
• T 2:40 p.m.-3:55 p.m.
• Instructor: Harry West
  CULPA: 1 h-index: 1 Info
• 3 points

DESIGN DIGITAL OPERATING MODELS

IEOR students only. Understand digital businesses, apply scientific, engineering thinking to digital economy. Data-driven digital strategies and operating models. Sectors: ecommerce, advertising technology, and marketing technology. Automation of the marketing, sales, and advertising functions. Algorithms, patents, and business models. Business side of the digital ecosytem and the digital economy.

• Department: Industrial Engineering and Operations Research
• M 7:10 p.m.-9:40 p.m.
• Instructor: Anthony Effik
  Info
• 3 points

READINGS IN CLASSICAL CHINESE

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

• Department: East Asian Languages and Cultures
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Wei Shang
  CULPA: 4 Wikipedia h-index: 96 Info
• 3 points

HEALTHCARE OPERATIONS MGT

Prerequisite(s): for senior undergraduate Engineering students: IEOR E3608, E3658, and E4307; for Engineering graduate students (M.S. or Ph.D.): Probability and statistics at the level of IEOR E4150, and deterministic models at the level of IEOR E4004; for healthcare management students: P8529 Analytical methods for health services management.

Develops modeling, analytical, and managerial skills of engineering and health care management students. Enables students to master an array of fundamental operations management tools adapted to the management of health care systems. Through real-world business cases, students learn to identify, model, and analyze operational improvements and innovations in a range of health care contexts.

• Department: Industrial Engineering and Operations Research
• MW 4:10 p.m.-5:25 p.m.
• 3 points

STUDIO I- HISTORIC PRESERV

• Department: Architecture, Planning and Preservation
• F 9 a.m.-1 p.m.
• 6 points

TISSUE ENGINEERING

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.

• Department: Biomedical Engineering
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Clark T Hung
  CULPA: 5 h-index: 65 Info
• 3 points

3RD YR MODERN HEBREW I

Prerequisites: 2nd Year Modern Hebrew II, Hebrew for Heritage Speakers II, or the instructor's permission. This course is designed to take students from the intermediate to advanced level. Students will further develop their reading, writing, speaking, and listening skills in Hebrew through an examination of a wide range of sources, including short stories, poems, visual arts, popular music, television shows and films. All readings, written assignments, and class discussions are in Hebrew. No P/D/F or R credit is allowed for this class.

• Department: Middle Eastern, South Asian and African Studies
• MW 10:10 a.m.-noon
• Instructor: Naama Harel
  CULPA: 1 Info
• 4 points

POWER SYSTEMS ANALYSIS

Modeling of power networks, steady-state and transient behaviors, control and optimization, electricity market, and smart grid.

• Department: Electrical Engineering
• W 7 p.m.-9:30 p.m.
• 3 points

Industry Projects in Analytics & Operati

Industry Projs in Analyti

Teams of students work on real-world projects in analytics. Focus on three aspects of analytics: identifying client analytical requirements; assembling, cleaning and organizing data; identifying and implementing analytical techniques (e.g., statistics and/or machine learning); and delivering results in a client-friendly format. Each project has a defined goal and pre-identified data to analyze in one semester. Client facing class. Class requires 10 hours of time per week and possible client visits on Fridays.

• Department: Industrial Engineering and Operations Research
• M 9 a.m.-11:30 a.m.
• Instructor: Michael Robbins
  Wikipedia Info
• 3 points

FIFTH YEAR KOREAN

Please see department for details.

• Department: East Asian Languages and Cultures
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Joowon Suh
  Info
• 4 points

FIFTH YEAR CHINESE I

The Fifth Year Chinese course is designed for advanced learners who have a proficient command of the Chinese language in all four aspects: listening, speaking, reading, and writing, regardless of whether they have Chinese heritage. The course provides a wide variety of literary genres, ranging from short stories to aesthetic essays to academic articles, to enhance students' mastery of formal written Chinese. While the primary objectives of this course lie in reading, students also have opportunities to develop their speaking competence through a variety of in-class discussions, debates, and presentations.

• Department: East Asian Languages and Cultures
• TR 10:10 a.m.-11:25 a.m.
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Lening Liu
  CULPA: 9 Info
• Instructor: Tao Peng
  Info
• 4 points

COLUMBIA UNI & SLAVERY

In this course, students will write original, independent papers of around 25 pages, based on research in both primary and secondary sources, on an aspect of the relationship between Columbia College and its colonial predecessor King's College, with the institution of slavery.

• Department: History
• T 10:10 a.m.-noon
• Instructor: Karl Jacoby
  CULPA: 2 h-index: 8 Info
• 4 points

INTRODUCTION TO KANBUN

• Department: East Asian Languages and Cultures
• TR 10:10 a.m.-11:25 a.m.
• Instructor: David B Lurie
  CULPA: 17 Info
• 4 points

APPLIED SYSTEMS ENGINEERING

Introduction to fundamental methods used in systems engineering. Rigorous process that translates customer needs into a structured set of specific requirements; synthesizes a system architecture that satisfies those requirements and allocates them in a physical system, meeting cost, schedule, and performance objectives throughout the product life-cycle. Sophisticated modeling of requirements optimization and dependencies, risk management, probabilistic scenario scheduling, verification matrices, and systems-of-systems constructs are synthesized to define the meta-workflow at the top of every major engineering project.

• Department: Industrial Engineering and Operations Research
• W 4:10 p.m.-6:40 p.m.
• Instructor: Ebad Jahangir
  Info
• 3 points

DATA SCIENCE FOR MECHANICAL SYSTEMS

Introduction to the practical application of data science, machine learning, and artificial intelligence and their application in Mechanical Engineering. A review of relevant programming tools necessary for applying data science is provided, as well as a detailed review of data infrastructure and database construction for data science. A series of industry case studies from experts in the field of data science will be presented.

• Department: Mechanical Engineering
• MW 8:40 a.m.-9:55 a.m.
• Instructor: Changyao Chen
  Info
• 3 points

DATA ANALYTICS

IEOR students only; priority to MSBA students. Survey tools available in Python for getting, cleaning, and analyzing data. Obtain data from files (csv, html, json, xml) and databases (Mysql, PostgreSQL, NoSQL), cover the rudiments of data cleaning, and examine data analysis, machine learning, and data visualization packages (NumPy, pandas, Scikit-lern, bokeh) available in Python. Brief overview of natural language processing, network analysis, and big data tools available in Python. Contains a group project component that will require students to gather, store, and analyze a data set of their choosing.

• Department: Industrial Engineering and Operations Research
• TR 2:40 p.m.-3:55 p.m.
• TR 4:10 p.m.-5:25 p.m.
• TR 11:40 a.m.-12:55 p.m.
• Instructor: Uday Menon
  Info
• 3 points

MACHINE LEARNING FE & OPR

MS IEOR students only. Introduction to machine learning, practical use of ML algorithms and applications to financial engineering and operations. Supervised learning: regression, classification, resampling methods, regularization, support vector machines (SVMs), and deep learning. Unsupervised learning: dimensionality reduction, matrix decomposition, and clustering algorithms.

• Department: Industrial Engineering and Operations Research
• F 10:10 a.m.-12:40 p.m.
• Instructor: Christian Kroer
  h-index: 16 Info
• 3 points

INSTRUMENTATION

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.

• Department: Music
• TR 1:10 p.m.-2:25 p.m.
• Instructor: Jeffrey Milarsky
  CULPA: 6 Wikipedia Info
• 3 points

ANALYTICS ON THE CLOUD

To introduce students to programming issues around working with clouds for data analytics. Class will learn how to work with infrastructure of cloud platforms, and discussion about distributed computing, focus of course is on programming. Topics covered include MapReduce, parallelism, rewriting of algorithms (statistical, OR, and machine learning) for the cloud, and basics of porting applications so that they run on the cloud.

• Department: Industrial Engineering and Operations Research
• M 10:10 a.m.-12:55 p.m.
• Instructor: Hardeep Johar
  Info
• 3 points

Topics in U.S. Foreign Relations History

This course will explore various topics in the History of U.S. foreign relations. Drawing on a wide range of scholarly writings, we will explore the history of the United States and the world with an eye toward the impact of American power on foreign peoples. Students will also use the semester to design, research, and write a substantial essay that draws on both primary and secondary sources on a topic chosen in consultation with the professor.

• Department: History
• R 12:10 p.m.-2 p.m.
• Instructor: Paul T Chamberlin
  CULPA: 3 Info
• 4 points

Reinforcement Learning

Markov Decision Processes (MDP) and Reinforcement Learning (RL) problems. Reinforcement Learning algorithms including Q-learning, policy gradient methods, actor-critic method. Reinforcement learning while doing exploration-exploitation dilemma, multi-armed bandit problem. Monte Carlo Tree Search methods, Distributional, Multi-agent, and Causal Reinforcement Learning.

• Department: Industrial Engineering and Operations Research
• MW 1:10 p.m.-2:25 p.m.
• Instructor: Shipra Agrawal
  h-index: 24 Info
• 3 points

DRUG AND GENE DELIVERY

Application of polymers and other materials in drug and gene delivery, with focus on recent  advances in field. Basic polymer science, pharmacokinetics, and biomaterials, cell-substrate interactions, drug delivery system fabrication from nanoparticles to microparticles and electrospun fibrous membranes. Applications include cancer therapy, immunotherapy, gene therapy, tissue  engineering, and regenerative medicine. Course readings include textbook chapters and journal  papers. Homework assignments take format of assay responding to open-ended question. Term  paper and 30-minute PowerPoint presentation required at end of semester.

• Department: Biomedical Engineering
• M 1:10 p.m.-3:40 p.m.
• Instructor: Kam W Leong
  h-index: 126 Info
• 3 points

GERMAN CINEMA:WEIMAR (ENG)

The class, which is open to advanced undergraduate and graduate students, will explore silent and early sound films from the period of the Weimar Republic. Close analysis of films such as The Cabinet of Dr. Caligari, Nosferatu, Metropolis, M, Dr. Mabuse, The Blue Angel and others will be combined with a historicist exploration of the cinematic medium in the 1910s and 1920s. Specific topics of discussion include anxieties about the hypnotic power of the moving image, shell shock, spirit photography, the "New Woman," the mass ornament. All readings and class discussions are in English and all films have English sub- or intertitles.

• Department: Germanic Languages
• W 10:10 a.m.-noon
• Instructor: Stefan Andriopoulos
  CULPA: 6 Wikipedia h-index: 12 Info
• 3 points

Visualization and Storytelling with Data

Data Visualization

Data visualization and how to build a story with data. Using complex data or statistics to communicate results effectively. Learn to present analysis and results conscisely and effectively.

• Department: Industrial Engineering and Operations Research
• F 9 a.m.-5 p.m.
• Instructor: Michelle Glaser
  Info
• 1.5 points

Performance, Objectives, & Results Using

Performance,Objectives&Re

OKR framework and different variations. Measurement techniques (A/B testing, validation, correlation, etc.) Identifying what to measure in product experience and business initiatives. Data-driven decision making.

• Department: Industrial Engineering and Operations Research
• FSU 9 a.m.-5 p.m.
• Instructor: Nicolas Chikhani
  Info
• 1.5 points

Applied Analytics: from Data to Decision

Applied Analytic Data-Dec

Applied Analytics focus querying and transforming data with SQL, defining and visualizing metrics, measuring impact of products / processes. Tools and techniques to convert raw data to business decisions, statistical analysis. Be able to apply these techniques to real-world datasets.

• Department: Industrial Engineering and Operations Research
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Fabrizio Lecci
  Info
• 3 points

THE DEVELOPMENT PROCESS II

DEV PROC: DEAL STRUCTURI

• Department: Architecture, Planning and Preservation
• R 11 a.m.-1 p.m.
• Instructor: Cecily C King
  Info
• 3 points

DATA MINING

Course covers major statistical learning methods for data mining under both supervised and unsupervised settings. Topics covered include linear regression and classification, model selection and regularization, tree-based methods, support vector machines, and unsupervised learning. Students learn about principles underlying each method, how to determine which methods are most suited to applied settings, concepts behind model fitting and parameter tuning, and how to apply methods in practice and assess their performance. Emphasizes roles of statistical modeling and optimization in data mining.

• Department: Industrial Engineering and Operations Research
• W 7:10 p.m.-9:40 p.m.
• Instructor: Krzysztof M Choromanski
  Info
• 3 points

GILLES DELEUZE:THINKING IN ART

The philosophy of Gilles Deleuze has emerged as one of the richest, most singular adventures in post-war European thought; Foucault considered it the most important in France, and more generally, in the 20th century. In all of Deleuze's work there is a search for a new 'image of thought.' But how did art figure in this search, and how did the search in turn appeal to artists, writers, filmmakers, architects, as well as curators or critics? In this seminar, we explore the complex theme of 'thinkin in art' in Deleuze, and its implications for art in the 21st century or for the global contemporary art of today.

• Department: Art History and Archaeology
• M 2:10 p.m.-4 p.m.
• Instructor: John Rajchman
  Wikipedia Info
• 4 points

CATALYSIS OF EMISSIONS CONTROL

Catalysis for Emission Control

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.

• Department: Earth and Environmental Engineering
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Robert Farrauto
  h-index: 52 Info
• 3 points

The New York City Watershed: From Commun

The NYC Watershed

The New York City Watershed: From Community Displacement to

Collaboration and Climate Adaptation
brings students to the Catskill Mountains in upstate New York to learn first hand from researchers and practitioners who help supply over ten million New Yorkers with safe and abundant drinking water while also working to build social, economic and environmental capital in the towns and villages located in the watershed surrounding the city’s reservoirs – all against a backdrop of increasing climate-related disruption. 

The class will learn how New York City and a coalition of upstate watershed communities worked to end nearly a century of mutual resentment, displacement and extraction by entering into the
Watershed Agreement of 1997
, which has become a widely renowned model for collaborative and equitable water resources management planning in the twenty-five years since its completion. Students will engage with several of the Watershed Agreement’s original negotiators and with the local elected officials, agency staff and non-profit leaders who implement its signature “
multi-barrier
” strategy for drinking water protection through open space preservation, support for sustainable farming practices and investments in clean water infrastructure and sustainable economic growth in watershed communities. They will also learn how increases in storm intensity and warming driven by climate change threaten to upset the delicate balance between New York City’s need for safe drinking water and the socio-economic interests of upstate watershed communities. 

Upon completion of the course, students will better understand the challenges involved in creating and implementing collaborative, multi-stakeholder plans for water resource management and host community benefits in today’s increasingly climate-disrupted world.

• Department: Earth Institute
• 1 points

Electric Machines

Introduction to principles, analysis, and applications of electric machines; transformers, DC machines, induction motors, and synchronous machines. Fundamentals of electromagnetic energy conversion, steady-state and dynamic machine models.

• Department: Electrical Engineering
• R 7 p.m.-9:30 p.m.
• Instructor: Sindhu Suresh
  Info
• 3 points

August Wilson

In this seminar we will read the complete published plays of August Wilson along with significant unpublished and obscurely published plays, prose, and poetry. The centerpieces of this course will be what Wilson termed his “century cycle” of plays: each work focusing on the circumstances of Black Americans during a decade of the twentieth century. As we consider these historical framings, we also will explore closely on what Wilson identified as the “four B’s” that influenced his art most emphatically: Bessie Smith (sometimes he called this first B the Blues), Amiri Baraka, Romare Bearden, and Jorge Luis Borges. Accordingly, as we consider theoretical questions of cross-disciplinary conversations in art, we will study songs by Bessie Smith (and broad questions of the music and literary form), plays, prose, and poetry of Baraka (particularly in the context of Wilson’s early Black Arts Movement works), the paintings of Bearden, and the poetry and prose (along with a few lectures and transcribed interviews) of Borges. We will use archival resources (online as well as “hard copy” material, some of it at Columbia) to explore Wilson’s pathways as a writer, particularly as they crisscrossed the tracks of his “four B’s.” Along the way we will examine several drawings and paintings (from his University of Pittsburgh archives) as we delve into the rhythmical shapes, textures, and colors he used on paper and canvas as well as in his plays. Visitors to the class will include Wilson’s musical director Dwight Andrews and at least one of his regular actors.

• Department: English and Comparative Literature
• R 4:10 p.m.-6 p.m.
• 4 points

PROFESSIONAL PRACTICE

• Department: Architecture, Planning and Preservation
• F 9 a.m.-11 a.m.
• Instructor: Alessandro Orsini
  Info
• 3 points

PROBABILITY & DECISION THEORY

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.

• Department: Philosophy
• MW 6:10 p.m.-7:25 p.m.
• Instructor: Jessica Collins
  Info
• 3 points

TOPICS IN OPERATIONS RESEARCH

FINANCE & STRUCTURING FOR DS

The last decade of 20 th century witnessed a rapid convergence of three C’s: Communications, Computers, and Consumer Electronics. This convergence has given us the Internet, smart phones, and an abundance of data with Data Science playing a major role in analyzing these data and providing predictive analytics that lead to actionable items in many fields and businesses. Finance is a field with a large amount of information and data that can utilize the skills of Data Scientists, however, to be effective in this field a data scientist, in addition to analytic knowledge, should also be knowledgeable of the working, instruments, and conventions of financial markets that range from Foreign Exchange to Equities, Bonds, Commodities, Cryptocurrencies and host of other asset classes. The objective of this course is to provide Data Science students with a working knowledge of major areas of finance that could help them in finding a position in the Financial Industry. The wide range of topics covered in this course besides expanding the range of positions where students could be a fit, it gives them more flexibility in their job search. The course will also be of value to them in managing their own finances in the future.

• Department: Industrial Engineering and Operations Research
• W 1:10 p.m.-3:40 p.m.
• 3 points

TOPICS IN OR

Each offering of this course is devoted to a particular sector of Operations Research and its contemporary research, practice, and approaches. If topics are different, then course can be taken more than once for credit.

• Department: Industrial Engineering and Operations Research
• W 5:40 p.m.-8:10 p.m.
• 1.5 points

TOPICS IN OR

Analytics Engineering

Each offering of this course is devoted to a particular sector of Operations Research and its contemporary research, practice, and approaches. If topics are different, then course can be taken more than once for credit.

• Department: Industrial Engineering and Operations Research
• F 2:40 p.m.-5:10 p.m.
• 1.5 points

TOPICS IN OPERATIONS RESEARCH

Each offering of this course is devoted to a particular sector of Operations Research and its contemporary research, practice, and approaches. If topics are different, then course can be taken more than once for credit.

• Department: Industrial Engineering and Operations Research
• 3 points

TOPICS IN OPERATIONS RESEARCH

Data-driven Method Financ

This Columbia University course offers a project-based learning experience focused on systematic quantitative investment. It covers the full data science workflow, from concept to performance evaluation. Students will engage in a real-time financial forecasting competition, using open-source financial and alternative data, to make and present investment decisions. Ideally, this course suits students aspiring to careers as quants or data scientists in the financial sector.

• Department: Industrial Engineering and Operations Research
• M 7:10 p.m.-9:40 p.m.
• Instructor: Naftali Cohen
  Info
• 3 points

TOPICS IN OPERATIONS RESEARCH

APPLIED RISK ANALYTICS

The course focuses on a PRACTICAL study of how to quantify & predict RISK in organizations by using learnings from: Regression analysis; Monte Carlo simulation; Factor analysis; Cohort analysis; Cluster analysis; Time series analysis; Sentiment analysis. Expectation is that incoming students should have a basic understanding of such concepts and statistics. The course will offer meeting & listening to CXO's & top executives from companies who have implemented robust AI & Applied Risk solutions to solve real-world problems in their own industries. 
It will give students a great opportunity to learn practical applications of predictive analytics to solve real business problems

• Department: Industrial Engineering and Operations Research
• M 7:10 p.m.-9:40 p.m.
• Instructor: Amit Arora
  Info
• 1.5 points