This course examines the transatlantic sounds of African music, including Afrobeat, Afrobeats, Amapiano, Chimurenga, Highlife, Kwaito, Makossa, Reggae, and more, to explore the rich cultural roots of African musical traditions and how they navigate and assimilate within the global popular culture sphere. From migration and collaborations to the rise of African artists in the era of advanced technology, the course uncovers how these genres transcend borders, inspire cross-cultural innovation, and influence the global music scene in contemporary times. Critical issues such as cultural appropriation, commodification, gender, health, and authenticity in the ever-evolving global music industry will be explored. By the end of the course, you will have a deep understanding of the complex dynamics driving the influence and dissemination of African music across the world.
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.
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.
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.
In this class we evaluate the puzzles and challenges that have and continue to face government and society in South Asia—with a strong emphasis on India—drawing on the analytical tools of political science. The course is divided into four parts. First, we discuss India’s historical and social context. Second, we discuss India’s state and political institutions, including the state bureaucracy, political parties and the institution of elections. Third, we address major challenges for democracy and governance, including pervasive corruption, ethnic conflict, democratic backsliding, and poverty alleviation. Fourth, we discuss India’s neighbors’ experiences with democracy and governance with attention to the Indian comparison laid out throughout the course.
The course has three main goals. First, to strengthen your skills in analyzing complicated political issues using the analytic tools of political science. Through discussion and writing, you will grapple with the many puzzles Indian democracy and governance in South Asia more broadly pose. Second, to help you to develop an extensive knowledge of Indian (and South Asian) politics and policy. We do this through lectures and readings that draw on a range of analytic approaches. Third, to place these issues in comparative context through engagement with theory and evidence from the region.
Discussion section for POLS GU4454, South Asian Politics
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.
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.
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.
Prerequisites: ECON UN3211 and ECON UN3213 Types of market failures and rationales for government intervention in the economy. Benefit-cost analysis and the theory of public goods. Positive and normative aspects of taxation. The U.S. tax structure.
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.
Introduction to statistical machine learning methods using applications in genomic data and in particular high-dimensional single-cell data. Concepts of molecular biology relevant to genomic technologies, challenges of high-dimensional genomic data analysis, bioinformatics preprocessing pipelines, dimensionality reduction, unsupervised learning, clustering, probabilistic modeling, hidden Markov models, Gibbs sampling, deep neural networks, gene regulation. Programming assignments and final project will be required.
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.
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.
Introduction to use of magnetic resonance spectroscopy (MRS) with focus on brain. Covers all aspects of in vivo MRS from theory to experiment, from data acquisition to the derivation of metabolic signatures, from study design to clinical interpretation. Includes theoretical concepts, hands-on training in MRS data literacy and direct experimental experience using a 3T MR scanner.
This course will provide an overview of the field of parental and social biology, with an emphasis on changes in the adult rodent brain surrounding childbirth and caretaking behavior. We will explore how the experience of parenthood prepares the brain for survival of offspring. We will also discuss the dynamic between caregivers and parents in order to provide the structure necessary to rear young. This course will illustrate the fortitude of molecular, behavioral and circuit level investigations in concert to unveil mechanisms of social learning.
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.
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.
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.
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.
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?
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.
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.
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.
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.
This bridge seminar welcomes graduate and advanced undergraduate students with backgrounds in art history or computer science (and related fields). We will interrogate intersections in artificial intelligence, machine vision, neural networks, visual culture, imaging, and art. Students will gain a foundation in the histories and technologies underlying the recent rise of neural networks and machine vision, as well as the more recent rise of generative AI, especially image generation. With this foundation, we will investigate a range of artistic, technological, mass-media, and legal developments in visual culture and AI. In addition to readings and seminar meetings, we will take advantage of the ample public and private AI-related programming at Columbia and in New York: lectures, exhibitions, screenings, studio visits with artists, etc. Students will also have the opportunity to work with custom generative AI models.
Admission by application only. All students are expected to complete the readings and tutorials for the first class prior to the start of the semester.
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.
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.
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
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.
Covers fundamental engineering design tools for creating and testing physical products. Includes basics of computer-aided design, circuit design and use of microcontrollers, Internet of Things, and computational modeling and simulation. Additional hands-on exposure to tools for high-fidelity physical prototyping in Makerspace. Mini-project design involving an engineering device or system incorporated tools.
An introduction to the strategies and fundamental bioengineering design criteria behind the development of cell-based tissue substitutes. Topics include biocompatibility, biological grafts, gene therapy-transfer, and bioreactors.
Prerequisites: 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.
Modeling of power networks, steady-state and transient behaviors, control and optimization, electricity market, and smart grid.
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.
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.
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.
Biogeochemistry considers how the basic chemical conditions of the Earth, from atmosphere to soil to seawater, have been and are being affected by the existence of life. Human activities in particular, from the rapid consumption of resources to the destruction of the rainforests and the expansion of smog-covered cities, are leading to rapid changes in the basic chemistry of the Earth.
This course will examine biogeochemical processes in both terrestrial and aquatic ecosystems in Earth’s Biosphere. We will cover the historical development and evolution of biogeochemical cycles and compare past biogeochemical systems on the planet to contemporary and future eco-biogeochemical systems that are increasingly perturbed and dominated by human activity.
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.
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.
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.
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.
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.
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.
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.
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.
In the early 15th century, technical refinements in glazing allowed oil painting in the Netherlands to achieve its characteristic transparency and brilliance, while technical advances in glass tinning enhanced the reflectivity of convex mirrors in Northern Europe, and the new steel quenching technique, developed by Milanese armorers,made armor as reflective as a mirror. These reflective mirrors and pieces of armors became quintessential pictorial objects and contributed to the specular metaphor that underpins Renaissance painting. The seminar will explore how the “mise en abyme” operated by the reflection reveals the reverse side of painting, in terms of pictorial composition, mediality and artistic conception within a specific cultural context. Addressing materials from the early 15th to the early 17th century, the seminar will analyze how the detail of the reflection offers a specific lens through which to understand the challenges and transformations of painting in early modern Europe.
The course will be run as a seminar, with meetings devoted to discussions. Students will be responsible for introducing and commenng on the weekly readings. They will also be asked to carry out a research project, culminating in a class presentation and a final paper.
Prerequisites: The seminar is open to graduate students and upper-level art history major undergraduates.
This course introduces feminist and decolonial studies as an exciting and interdisciplinary field that helps us better understand power, inequality, and social change. It offers a foundation in key feminist and decolonial ideas while inviting students to connect theory with real-world struggles and movements.
In the first part of the course, we will learn concepts and explore major debates in feminist and decolonial thought. In the second half, we will look at feminism not only as a set of ideas, but also as a diverse and dynamic social movement that has shaped political struggles, cultural representation, and historical change.
Together, we will ask important questions such as: Is gender shaped by colonial histories? What does intersectionality help us see about inequality? How can research and political action be guided by feminist and decolonial perspectives? What can we learn from Indigenous feminisms, community feminisms, and other transformative ways of thinking?
Throughout the course, we will engage with the work of activists, scholars, and artists—especially Indigenous, Afro-descendant, LGBTQ+, and land and water defenders—whose ideas are reshaping feminist studies today. We will also explore how feminist and decolonial perspectives help us understand the current planetary crisis and imagine more just and sustainable ways of relating to each other and to the environment.
Class Note: Indigenous & Black women, feminist & queer authors
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.
(Lecture). We cant talk about human rights without talking about the forms in which we talk about human rights. This course will study the convergences of the thematics, philosophies, politics, practices, and formal properties of literature and human rights. In particular, it will examine how literary questions of narrative shape (and are shaped by) human rights concerns; how do the forms of stories enable and respond to forms of thought, forms of commitment, forms of being, forms of justice, and forms of violation? How does narrative help us to imagine an international order based on human dignity, rights, and equality? We will read classic literary texts and contemporary writing (both literary and non-literary) and view a number of films and other multimedia projects to think about the relationships between story forms and human rights problematics and practices. Likely literary authors: Roberto Bolaño, Miguel de Cervantes, Assia Djebar, Ariel Dorfman, Slavenka Drakulic, Nuruddin Farah, Janette Turner Hospital, Franz Kafka, Sahar Kalifeh, Sindiwe Magona, Maniza Naqvi, Michael Ondaatje, Alicia Partnoy, Ousmane Sembène, Mark Twain . . . . We will also read theoretical and historical pieces by authors such as Agamben, An-Naim, Appiah, Arendt, Balibar, Bloch, Chakrabarty, Derrida, Douzinas, Habermas, Harlow, Ignatieff, Laclau and Mouffe, Levinas, Lyotard, Marx, Mutua, Nussbaum, Rorty, Said, Scarry, Soyinka, Spivak, Williams.
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.
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.
“New York is the perfect model of a city,” stated Lewis Mumford, “not the model of a perfect city.” This seminar contrasts the ideas of four urban thinkers and actors who possessed radically different perspectives on the modern metropolis and brought them to bear in and on New York City. The protagonists are
Lewis Mumford (1895–1990), Robert Moses (1888–1981), Jane Jacobs (1916–2006),
and
Rem Koolhaas (1944–)
. We discuss the urban and architectural issues that animated them—and frequently pitted them against each other—as they variously strove to imagine and affect New York’s built future. From Mumford’s prophetic environmentalism and “sidewalk criticism” to Moses’s “expressway world,” from Jacobs’s neighborhood activism and battles against urban renewal to Koolhaas’s celebration of Manhattan’s “delirious” architectural imaginary, the course reassesses the legacies of these figures, placing them into historical context and exploring the changing social, political, and cultural forces and landscapes that shaped their thinking. What “usable past,” to invoke Mumford again, do they offer to urbanism today? Concerned with both realities on the ground and big ideas about how to build and inhabit cities, class discussions revolve around key texts supplemented by slide lectures, film excerpts, and case-study presentations. Students are expected to make site visits and to carry out primary research utilizing archival and material resources available around New York City.
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.
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.
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.
or
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
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.
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.
or
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Health, disease, and death from a systems engineering perspective, introduction to control theory in a biomedical context.
Examines innovation systems and technology adoption in medical advances, with a focus on translational analysis across devices, diagnostics, and therapeutics. Case-based evaluation of diagnostic imaging (CT, MRI, ultrasound), minimally invasive surgical systems, cardiovascular devices, and drug development pipelines. Frameworks for R&D goal-setting, evaluation and testing protocols, regulatory constraints, technology diffusion, and multi-stakeholder development systems.
For BMEN students, this course counts towards a technical elective, but not engineering content technical elective.
The IEOR Department hosts Business Analytics Practitioners Seminars throughout the Fall and Spring semesters. There are 5-6 seminars per semester, for a total of 10-12 seminars a year. These seminars feature a variety of academics and professionals in the field of Business Analytics; they are meant to educate and expose students to the latest research and practice.
First year BA students are required to attend all BA seminars during their first year
as well as submit journals about the material.
Primer on quantitative and mathematical concepts. Required for all incoming MSBA students.
Basic radiation physics: radioactive decay, radiation producing devices, characteristics of the different types of radiation (photons, charged and uncharged particles) and mechanisms of their interactions with materials. Essentials of the determination, by measurement and calculation, of absorbed doses from ionizing radiation sources used in medical physics (clinical) situations and for health physics purposes.
Prerequisites: none; high school chemistry recommended. This course is open to graduate students, and juniors and seniors within DEES, Sus Dev, Engineering, Chemistry, Physics, and APAM - or with the instructors permission. Survey of the origin and extent of mineral resources, fossil fuels, and industrial materials, that are non renewable, finite resources, and the environmental consequences of their extraction and use, using the textbook Earth Resources and the Environment, by James Craig, David Vaughan and Brian Skinner. This course will provide an overview, but will include focus on topics of current societal relevance, including estimated reserves and extraction costs for fossil fuels, geological storage of CO2, sources and disposal methods for nuclear energy fuels, sources and future for luxury goods such as gold and diamonds, and special, rare materials used in consumer electronics (e.g. ;Coltan; mostly from Congo) and in newly emerging technologies such as superconducting magnets and rechargeable batteries (e.g. heavy rare earth elements, mostly from China). Guest lectures from economists, commodity traders and resource geologists will provide ;real world; input.
While Israel is perhaps one of the most discussed and debated state in the world – only few onlookers have a deep understanding of Israel’s complex and fragmented society and politics.
This course invites the students into a journey to the historical and current Israeli politics and society by introducing the creation of the Israeli Democracy, the main political debates, different ideological visions, and the main cleavages and demographic divisions that have driven Israeli society from 1948 through the present days.
By presenting continuation and changes in Israel history and society the students will learn about the main events in Israel history with respect to military and diplomatic issues, different groups and parties – among them, Ultra-Orthodox (Haredim), Palestinian citizens of Israel, Ethiopian Jews, Religious Zionist, Jewish settlers, Ashkenazi vs Mizrahi/Sephardic Jews – which create the fabric of Israel politics and society from its formative years to the current era.
With an eye open to current developments, the course will also discuss new trends in Israeli politics.
In addition to the reading and primary sources, the students will watch and review films about Israeli politics and culture. At the end of the course the students will gain a better understanding of Israel and its complexities.
Course Objectives
By the end of the course students will, (1) Understand Israel’s broad and diverse social and political spectrum, with an emphasis on historical events and core issues (the peace process, religion-state dynamics, etc.)
2. Be able to discuss and write intelligently about Israel’s history, politics and culture.
Introduction to continuous systems with the treatment of classical and state-space formulations. Mathematical concepts, complex variables, integral transforms and their inverses, differential equations, and relevant linear algebra. Classical feedback control, time/frequency domain design, stability analysis, Laplace transform formulation and solutions, block diagram simplifcation and manipulation, signal ow graphs, modeling physical systems and linearization. state-space formulation and modeling, in parallel with classical single-input single-output formulation, connections between the two formulations. Transient and steady state analysis, methods of stability analysis, such as root locus methods, Nyquist stability criterion, Routh-Hurwitz criterion, pole/zero placement, Bode plot analysis, Nichols chart analysis, phase lead and lag compensators, controllability, observability, realization of canonical forms, state estimation in multivariable systems, time-variant systems. Introduction to advanced stability analysis such as Lyapunov stability and simple optimal control formulation. May not take for credit if already received credit for EEME E3601.
This course will combine study of long-term historical sociology with more short term understanding of policies and their possible effects. Though its main purpose will be to provide students with an understanding of politics after independence, it will argue, methodologically, that this understanding should be based on a study of historical sociology – plotting long-terms shifts in the structure of social power. The course will start with analyses of the structures of power and ideas about political legitimacy in pre-modern India, and the transformations brought by colonialism into that order. After a brief study of the nature of political order under the colonial state, the courses will focus primarily on the history of the democratic state after independence.
Risk management models and tools; measure risk using statistical and stochastic methods, hedging and diversification. Examples include insurance risk, financial risk, and operational risk. Topics covered include VaR, estimating rare events, extreme value analysis, time series estimation of extremal events; axioms of risk measures, hedging using financial options, credit risk modeling, and various insurance risk models.
From its very inception on the stage of history, the Zionist idea has been a catalyst for intense controversy, both within the Zionist movement and the Jewish people, as well as among external critics. This course seeks to trace the major debates and controversies that have shaped Zionism from its founding to the present day, as they have manifested in the State of Israel.
The curriculum examines key questions: Is Zionism a modern development of Judaism or a completely new phenomenon that marks a historical break? Should the movement have emphasized cultural identity or political sovereignty? Why did the Zionist movement choose a Western orientation over an Eastern one?
We will also examine how Zionists engaged with the Arab Revolt of the 1930s, raising relevant questions such as the policy of restraint or retaliation, and analyze the core arguments of those who define Zionism as a legitimate — even one of the most justified — national movements versus those who characterize it through colonialist frameworks.
Furthermore, the course will revisit Hannah Arendt’s controversial reflections on the 1961 Eichmann Trial and the subsequent accusations regarding her perceived lack of "
Ahavat Yisrael
" (love for the Jewish people). We will move forward to address the contemporary debate over whether anti-Zionism is inherently the same as antisemitism and explore Israeli views of anti-Zionist critiques.
Throughout the course, we will place special emphasis on examining controversies surrounding Israel and Zionism in comparison to other global nationalist movements.
By situating Zionist history within both global perspectives and internal debates, students will move beyond narrow political discourse to acquire a profound understanding of Israel’s past and present. Each session will be supplemented by primary sources, including films, speeches, testimonies, and interviews.
Overview of robot applications and capabilities. Linear algebra, kinematics, statics, and dynamics of robot manipulators. Survey of sensor technology: force, proximity, vision, compliant manipulators. Motion planning and artificial intelligence; manipulator programming requirements and languages.
This course explores the history, nature and underlying causes of human/wildlife conflict from the human perspective. We will emphasize areas of human and wildlife conflict that endanger the existence of wildlife species in significant portions of their range, and consider emerging strategies that may reduce human-wildlife conflict.
Principles of nontraditional manufacturing, nontraditional transport and media. Emphasis on laser assisted materials processing, laser material interactions with applications to laser material removal, forming, and surface modification. Introduction to electrochemical machining, electrical discharge machining and abrasive water jet machining.