Characterization of stochastic processes as models of signals and noise; stationarity, ergodicity, correlation functions, and power spectra. Gaussian processes as models of noise in linear and nonlinear systems; linear and nonlinear transformations of random processes; orthogonal series representations. Applications to circuits and devices, to communication, control, filtering, and prediction.
Introduction to the mathematical tools and algorithmic implementation for representation and processing of digital pictures, videos, and visual sensory data. Image representation, filtering, transform, quality enhancement, restoration, feature extraction, object segmentation, motion analysis, classification, and coding for data compression. A series of programming assignments reinforces material from the lectures.
Embedded system design and implementation combining hardware and software. I/O, interfacing, and peripherals. Weekly laboratory sessions and term project on design of a microprocessor-based embedded system including at least one custom peripheral. Knowledge of C programming and digital logic required.
How to write the city? What is an archive for writing the city? What liminal and marginal perspectives are available for thinking about writing the city? What is the place of the city in the global south in our historical imagination? Our attempt in this seminar is to look at the global south city from the historical and analytical perspectives of those dispossessed and marginal. Instead of ‘grand’ summations about “the Islamic City” or “Global City,” we will work meticulously to observe annotations on power that constructs cities, archives and their afterlives. The emphasis is on the city in South Asia as a particular referent though we will learn to see Cairo, New York, and Istanbul.
This course is an intensive study of Aldous Huxley’s influential novel,
Brave New World
(1932). It aims to introduce students both to the context of Huxley’s world and the extensive reflections it spawned on the reimagining of what Anthony Burgess called “the perfectibility of man” conducted as a “scientific programme.” If
Brave New World
has entered the lexicon as a moniker for totalitarian overreach and mind conditioning, the novel merits closer examination for the unique means by which it achieves its effects, ranging from radical social engineering to the management of desire. Among the many questions the course addresses are the following: What are readers to make of the inversion of norms that identifies the World State with the acme of modernity and the “savage reservation” with a discredited past that includes concepts like the family? Does this inversion obscure the standpoints from which a critique of the World State can be made? How does Huxley unsettle the terms of analysis of the novel’s politics?
These questions, among others, are posed as learning tools for approaching the novel, the context in which it was written, and the broader influences it exerted. The syllabus assigns several weeks of reading
Brave New World
alongside relevant secondary criticism, with a view to encouraging students to probe different critical perspectives and identify evolving paradigms that amplify the novel’s cross-disciplinary engagements. Examples of the questions that students are encouraged to address are: Can the World State’s project of control through pleasure effectively eliminate feeling while requiring sensation? Is the technocratic manipulation of time (through the organization of workers’ bodies and labor) undone by a necessary recourse to the eternity-promising drug
soma
?
How is
Brave New World
both a futuristic view of a dominant world order, which is carefully produced by social engineering and conditioning, and a depiction of a subversive counterculture, uprooting the norms transmitted across generations?
The syllabus includes adjacent works, such as Yevgeny Zamyatin’s
We
(1924), viewed as a direct predecessor to
Brave New World
, George Orwell’s
Nineteen Eighty-Four
(1949), and Anthony Burgess’s
A Clockwork Orange
(1962). Students will read
Nineteen Eighty-Four
to determine whether its
The goal of synthetic organogenesis is to use stem cells to reconstitute aspects of embryo development and organ formation in vitro. Examines the molecular basis of human embryogenesis. Introduces synthetic organogenesis as an interdisciplinary field. Students learn to recognize generic molecular mechanisms behind signaling and cell lineage specification. Covers recent advances in applying engineering and contemporary biology to creating organoids and organs on chips using human stem cells.
North Korea is widely regarded as a country without a history; as enigmatic as it is isolated. Dispensing with this cliché, this course invites students to engage with North Korean history using a variety of primary and secondary sources. We begin in the medieval period to trace the distinct features of the northern region that made it uniquely receptive to outside ideas. Understanding the north as a frontier zone of experimentation and adaption allows us to examine the attractive power of modernity in the north during the early twentieth century via the influence of Christianity, capitalism and communism. Utilizing texts and materials made in North Korea and internationally, including feature and documentary films, women’s magazines, graphic novels, literary fiction and testimony, the course investigates the conditions within which knowledge about North Korea has been produced, circulated and repressed. Key topics to be explored include the history of Christianity and capitalism in Pyongyang and the northern provinces, communist cadres in the 1930s, the allure of the North in the 1940s, the Korean War and the purges that followed, North Korea’s relations with neighbors and the world, and the high cost its citizens pay for the country’s brutal sanction economy.
Many materials properties and chemical processes are governed by atomic-scale phenomena such as phase transformations, atomic/ionic transport, and chemical reactions. Thanks to progress in computer technology and methodological development, now there exist atomistic simulation approaches for the realistic modeling and quantitative prediction of such properties. Atomistic simulations are therefore becoming increasingly important as a complement for experimental characterization, to provide parameters for meso- and macroscale models, and for the in-silico discovery of entirely new materials. This course aims at providing a comprehensive overview of cutting-edge atomistic modeling techniques that are frequently used both in academic and industrial research and engineering. Participants will develop the ability to interpret results from atomistic simulations and to judge whether a problem can be reliably addressed with simulations. The students will also obtain basic working knowledge in standard simulation software.
Many materials properties and chemical processes are governed by atomic-scale phenomena such as phase transformations, atomic/ionic transport, and chemical reactions. Thanks to progress in computer technology and methodological development, now there exist atomistic simulation approaches for the realistic modeling and quantitative prediction of such properties. Atomistic simulations are therefore becoming increasingly important as a complement for experimental characterization, to provide parameters for meso- and macroscale models, and for the in-silico discovery of entirely new materials. This course aims at providing a comprehensive overview of cutting-edge atomistic modeling techniques that are frequently used both in academic and industrial research and engineering. Participants will develop the ability to interpret results from atomistic simulations and to judge whether a problem can be reliably addressed with simulations. The students will also obtain basic working knowledge in standard simulation software.
China's search for a new order in the long twentieth century with a focus on political, social and cultural change.
Prerequisites: Recommended preparation: a solid background in basic chemistry. Introduction to geochemical cycles involving the atmosphere, land, and biosphere; chemistry of precipitation, weathering reactions, rivers, lakes, estuaries, and groundwaters; students are introduced to the use of major and minor ions as tracers of chemical reactions and biological processes that regulate the chemical composition of continental waters.
:
Philanthropy & Just Societies
will enable Columbia undergraduate students to learn about the history of philanthropy, to understand best practices and ethical underpinnings, to debate its potential in making more just societies, and to consider what it means to give and receive aid at different scales. Students will have the opportunity to participate directly in philanthropic work.
Research training course. Recommended in preparation for laboratory related research.
Prerequisite(s): Approval by a faculty member who agrees to supervise the work. Independent work involving experiments, computer programming, analytical investigation, or engineering design.
Prerequisites: LING UN3101 Syntax - the combination of words - has been at the center of the Chomskyan revolution in Linguistics. This is a technical course which examines modern formal theories of syntax, focusing on later versions of generative syntax (Government and Binding) with secondary attention to alternative models (HPSG, Categorial Grammar).
Selected topics in electrical and computer engineering. Content varies from year to year, and different topics rotate through the course numbers 4900 to 4909.
This advanced seminar examines materialist conceptions of labor and life as approached through feminist, black, anti-racist, indigenous, queer, postcolonial, and Marxist perspectives. We will trace the ways that labor and life as well as their constitutive relations have been understood in historical and contemporary radical critiques of capitalism, with a focus on gender, race and sexuality as analytical categories for understanding their shifting roles in structures and practices of social reproduction, the production and expropriation of value, the logic and exercise of violence, the organization of sociality and culture, and the practice and imagination of freedom, justice, and new forms and potentials of collective existence. Finally, we will consider the limits and possibilities of different conceptions of “material life” for understanding politics today.
Since the financial crisis of 2007-8, a growing body of interdisciplinary work in the social sciences and humanities has worked to situate the timeless logics of economics within processes of governing that constitute economic space, time and subjects. This 4000-level graduate seminar, open to senior undergraduates, brings key themes and methods in this literature on processes of ‘economization’ into conversation, streamlining prominent genealogies. Informed by attention to links across British imperial and contemporary neoliberal formations, the course highlights legal-governmental imaginaries and media that convey and create market value. Working in-between the study of practices of capitalism (formal and vernacular) and theories of capital, we will consider infrastructures that frame the drive for perpetual profit. After a review of foundational literature, the syllabus will foreground processes of financialization or the bolstering of financial value as primary means for profit-making. Reading capitalism as governing project with attention to subject-formation and sign-value, the course weaves the analysis of governmentality, legal and financial fictions, finance and society, approaches from the historical anthropology of economy and media, and science and technology studies. Themes will include: “the economy” as governing imaginary; the performativity of economics; incarnations of homo economicus; risk, speculation and the commodification of futurity; uncertainty and the “spirits” of capitalism; virtual value and instruments of securitization; money, the semiotics of value, and monetization. The course assumes basic background in social and political theory, and political economy.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Selected topics in microeconomics.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Selected topics in microeconomics.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Selected topics in microeconomics.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Selected topics in microeconomics.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Selected topics in microeconomics.