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An introduction to combinatorial optimization, network flows and discrete algorithms. Shortest path problems, maximum flow problems. Matching problems, bipartite and cardinality nonbipartite. Introduction to discrete algorithms and complexity theory: NP-completeness and approximation algorithms.
This externship introduces students to the challenges faced by military veterans in accessing federal
benefits. New York is home to more than 800,000 veterans and recent studies have found that New York
veterans have a lower income than the national average despite numerous financial benefit programs
specific to this population. Less than 17% of New York veterans and only 15.5% of New York City
veterans receive VA disability benefits, significantly lower than the national average of 23-24%. The
New York Legal Assistance Group’s Veterans Practice has focused its efforts on addressing two
potential causes of this disparity, eligibility issues related to discharge status and lack of representation
in the disability claims process. Course content and fieldwork will train students to effectively and
compassionately advocate for veteran clients as they navigate the discharge upgrade and VA disability
benefit processes.
This externship introduces students to the challenges faced by military veterans in accessing federal
benefits. New York is home to more than 800,000 veterans and recent studies have found that New York
veterans have a lower income than the national average despite numerous financial benefit programs
specific to this population. Less than 17% of New York veterans and only 15.5% of New York City
veterans receive VA disability benefits, significantly lower than the national average of 23-24%. The
New York Legal Assistance Group’s Veterans Practice has focused its efforts on addressing two
potential causes of this disparity, eligibility issues related to discharge status and lack of representation
in the disability claims process. Course content and fieldwork will train students to effectively and
compassionately advocate for veteran clients as they navigate the discharge upgrade and VA disability
benefit processes.
This is the first clinical experience with pediatric patients for the PNP student. The student will be responsible for developing objectives and sharing them with the preceptor. The skills needed to obtain a good history and physical will be honed and further developed. When possible, the student will proactively seek opportunities to practice clinical skills of vision screening, hearing screening and venous access. The student will develop their skills in developmental and mental health screening.
Convex sets and functions, and operations preserving convexity. Convex optimization problems. Convex duality. Applications of convex optimization problems ranging from signal processing and information theory to revenue management. Convex optimization in Banach spaces. Algorithms for solving constrained convex optimization problems.
Robots using machine learning to achieve high performance in unscripted situations. Dimensionality reduction, classification, and regression problems in robotics. Deep Learning: Convolutional Neural Networks for robot vision, Recurrent Neural Networks, and sensorimotor robot control using neural networks. Model Predictive Control using learned dynamics models for legged robots and manipulators. Reinforcement Learning in robotics: model-based and model-free methods, deep reinforcement learning, sensorimotor control using reinforcement learning.
This graduate seminar offers a survey of debates on materiality and object-oriented ontologies that are currently revitalizing the humanities and social sciences. How does the physical world of objects and things affect our social and perceptual reality? Is it possible to imagine a world with the non-human at its center? Should we learn to study a “thing in itself” or is it better to approach matter as always-already entangled in networks and relations? In this interdisciplinary seminar we will keep media objects and contexts at the center of our study and travel through a long history of critical interest in materialism. The seminar begins with foundational debates from Marx to McLuhan and gradually moves through modules on materialism as understood vis-a-vis things, actors, relations, bodies, images, infrastructures, aesthetics, and ecologies. Weekly sessions combine historical and philosophical approaches to media forms and their material lives. A special emphasis is placed on complicating dominant disciplinary frameworks with theories and case studies from the South and insights from feminist theory. This is an interdisciplinary weekly course that will be relevant to students interested in media, film, cultural history, material culture, object histories, infrastructure studies, and environmental humanities.
This course explores both analogue and digital tools for the sound reinforcement of concerts in all formats. Through hands-on experience, the course addresses the impact and potential of contemporary tools on the aesthetic choices of musical projects. The course supports artists (performers, composers, improvisers, sounds artists, etc.) by providing a solid foundation and a working knowledge of live sound concepts in order to improve the realization of their creative audio work. A significant feature of the course is direct experience producing live concerts in order to fully understand the implications of the transition between the pre-concert studio preparation and live concert execution. Under the supervision of the instructor, students are expected to oversee the audio-related technical aspects of two to three music department events, including the doctoral composition work of the Columbia Composers concert series. Topics include the practice and theory behind analog and digital mixing, live sound processing, concert diffusion, spatial audio, sound reinforcement, mixed music techniques, concert recording, and efficient equipment set-up and tear-down. Please note that students must be available for two whole-day Saturday events whose dates will be determined and distributed by the instructor at the start of the semester.
The course aims to analyze dynamic, multivariate interactions in evolutionary and non-stationary processes. The course first considers stationary univariate time-series processes and then extend the analysis to non-stationary processes and multivariate processes. The course covers a review of linear dynamic time-series models and focus on the concept of cointegration, as many applications lend themselves to dynamic systems of equilibrium-correction relations. In the final analysis, the course is aimed at presenting a certain number of econometric techniques the mastery of which is becoming increasingly inevitable in professional circles.
May be repeated for credit. A special investigation of a problem in nuclear engineering, medical physics, applied mathematics, applied physics, and/or plasma physics consisting of independent work on the part of the student and embodied in a formal report.
This course aims to provide students with further instruction on how (1) to motivate detailed empirical analysis on a research question of their choice, (2) to justify and to design appropriate econometric tests using relevant time-series, cross-sectional, or panel data, etc., and (3) to draw accurate inferences—as well as direct policy implications—from their results for a wide audience. To meet this objective, the key course requirement is to write an empirical policy paper that details (1)–(3) in no more than 5000 words total (including exhibits, references, etc.), geared not for academics but for economic policymakers or other practitioners. Also, students will be required to report their findings to their instructor, advisors, and fellow students during 10- to 15-minute slide presentations toward the end of the semester.
The Writing Program has in place several programs that involve more than 70 students a term going beyond the Columbia gates to teach writing in community groups and schools. These programs include Columbia Artist/Teachers (CA/T), Our Word, The Incarcerated Artists Project (IAP), The Incarcerated Writers Initiative (IWI), as well as public programs on and off campus (including Lenfest) that are produced collaboratively.
The diverse array of partner organizations (see attached)—curated to provide a multiplicity of teaching experiences as well as service to the community—require various modalities of pedagogy and administration. About 14 students (see attached) are in leadership positions, with dual responsibilities of working with the partner programs in structuring and troubleshooting programs while also supervising the MFA participants and providing pedagogical guidance. In effect, these leaders are acting as arts administrators, an experience that may be useful for them in pursuing post-MFA employment.
The Writing Program’s Director of Community Outreach oversees these programs and student leaders on an ad hoc basis. The purpose of this no-credit, no-tuition course is to formalize faculty supervision and support for the Writing Program’s outreach component.
The shape of this course will be mutable, tailored to the ongoing needs of the students, their partner organizations, and the Writing Program. Contact hours will comprise in-person meetings as well as emails and phone calls, focusing on: setting up and running programs and events, working collaboratively, implementing pedagogy, and troubleshooting.
Student leaders will meet as a group with the instructor three times a term.
Individuals leaders will meet with the instructor an additional minimum of twice a term.
The CA/T Director and the instructor will meet about eight times a term.
After completing the course, students will be able to intelligently discuss and critically analyze issues related to North Korea’s state, society, diplomacy, and security. This includes a nuanced understanding of critical areas such as: the Korean Peninsula’s division and war, North Korea’s economic management, strategy, military, human rights abuses, gender roles, social changes, propaganda and outside information, denuclearization diplomacy, and alternate approaches to nuclear North Korea. To present a variety of perspectives and viewpoints, the reading list includes works of history, analyses by political scientists, primary documents including diplomatic cables, memoirs by North Korean refugees, documentary videos, and news articles. Students engage analytically with the material, steered by weekly guided questions to comprehend the different sides of issues and develop an informed perspective.
Local and global fields, group cohomology, local class field theory, global class field theory and applications.
This seminar will examine the complex relationship between literature and emotion, focusing especially on sympathy—a word contested by historians, philosophers, and critics. In a country shaped by individualism and capitalism, what role does sympathy play in politics and the literary imagination? By studying sympathy in American literature—focusing especially on 19th-century sentimentalism—we’ll examine how works written to portray and evoke feeling functioned as powerful social and political forces. We’ll read some of the most popular American fiction ever written as well as more obscure works, and we’ll study the philosophy that informed a sentimental worldview. We’ll explore the legacy of American sentimentalism, studying the backlash against sentimental literature and investigating the ways that sentimental tropes lasted into the twentieth century and beyond. Throughout the course, we’ll read from philosophers and critics who debate the political potential of sympathy—arguing to what extent sympathy releases revolutionary force or fosters political quietism.
Moving from documents to biometrics, anthropology to media theory, this course examines the media systems whereby state and imperial power is inscribed and administered.
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Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Prerequisites: One year each of Chemistry, Physics, Calculus and Earth Sciences Overview This course explores the origin of magmas and their subsequent movements; their ascent, stalling and eruption; their transport of heat and mass through the earth; their formation of crust and creation of volcanoes. The course will explore magmatism itself - its chemical and physical underpinnings - and also develop magmatic tools used to understand other earth processes. Topics will be focused around Grand Questions. Example questions include: What do magmas tell us about the thermal structure of the earth? Why do magmas store and stall where they do? What drives the largest eruptions on Earth? Does continental extension drive melting or melting drive extension? Questions will evolve to reflect the state of the field and student interest. The course is designed to serve as an accessible breadth course for Earth Science graduate students in any discipline.
This course examines the rise and demise of the Chinese Revolution from the unique angles provided by avant-garde writers, artists, designers, graphic novelists, filmmakers, playwrights, and theatre directors in modern China.
Continuation of IEOR E6711, covering further topics in stochastic modeling in the context of queueing, reliability, manufacturing, insurance risk, financial engineering, and other engineering applications. Topics from among generalized semi-Markov processes; processes with a non-discrete state space; point processes; stochastic comparisons; martingales; introduction to stochastic calculus.