This course is designed to present major theoretical systems of psychotherapy, with a special emphasis on how clients in therapy change and how to conceptualize clients' presenting concerns from theoretical points of view. Issues related to application of theory in practice, especially those related to individual/cultural diversity will be addressed and emphasized.
Prerequisites: ECON G6211, ECON G6212. Market Design is an emerging field in economics that attempts to devise a practical scheme for allocating scarce resources to individuals who value them. Its applications involve many important real life problems ranging from allocation of government resources such as public land, fishing/mineral rights, radio spectrum licenses, allocation of school choice and transplantable human organs, assignment of workers to jobs, to placement of advertising in Internet search engines. Mechanism design underpins the field as a general methodological framework, which is in turn operationalized by two branches of theories: 1) Auction Theory and 2) Matching Theory. The course will provide a guide through these theories and discusses a few applications along the way.
Prerequisites: permission of the departmental adviser to Graduate Studies.
This course surveys the historical relationships between anthropological thought and its generic inscription in the form of ethnography. Readings of key ethnographic texts will be used to chart the evolving paradigms and problematics through which the disciplines practitioners have conceptualized their objects and the discipline itself. The course focuses on several key questions, including: the modernity of anthropology and the value of primitivism; the relationship between history and eventfulness in the representation of social order, and related to this, the question of anti-sociality (in crime, witchcraft, warfare, and other kinds of violence); the idea of a cultural world view; voice, language, and translation; and the relationship between the form and content of a text. Assignments include weekly readings and reviews of texts, and a substantial piece of ethnographic writing. Limited to PhD students in Anthropology only.
This course explores the creative visualization and sonification of data. Humans produce enormous amounts of data representing complex phenomena (including but not limited to our own activities), but we there is a deficit in our ability to perceive and understand the patterns in the data. The auditory and visual perceptual systems are optimized for a wide range of spatial and temporal patterns that we process simultaneously to understand our immediate surroundings. How can we use these capabilities to better understand processes that are beyond the range of our direct perception, but we can measure indirectly with a vast range of sensors? This course addresses ways of generating both sonic and visual animations of the same data, from which we will construct videos. Questions of how to design and tune these representations to bring out patterns in the data, based on the nature of human perception and also aesthetic choices, will be discussed throughout. How might these questions of pattern perception vary (or not) for scientific and artistic intents? Students will select datasets they are interested in early in the course, and will develop and build these projects over the semester. While the course is taught using Python and RTcmix, and prior experience in Python is encouraged, students may use other sonic/visual coding environments such as Unity, Max/MSP, or Pure Data for their projects. Hardware for VR/AR and spatialized sound will be available for class use at the Computer Music Center.
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This class explores advanced topics relating to the production of music by computer. Although programming experience is not a prerequisite, various programming techniques are enlisted to investigate interface design, algorithmic composition, computer analysis and processing of digital audio, and the use of computer music in contexts such as VR/AR applications. Check with the instructor for the particular focus of the class in an upcoming semester. Note: this class is not necessarily a continuation of Sound: Advanced Topics I/GR6610. Some familiarity with computer music hardware/software is expected. Permission of instructor is required to enroll.
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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.
Recommended: MECE E3401 or instructor’s permission. Kinematic modeling methods for serial, parallel, redundant, wire-actuated robots and multifingered hands with discussion of open research problems. Introduction to screw theory and line geometry tools for kinematics. Applications of homotopy continuation methods and symbolic-numerical methods for direct kinematics of parallel robots and synthesis of mechanisms. Course uses textbook materials as well as a collection of recent research papers.
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.
Race is a global line with local contours; it is key for students of international and public affairs to understand the language of race in the Brazilian context in its entire complexity. The short course "Race in Brazil" provides a comprehensive, yet comparative and in-depth, analysis of contemporary black politics in Brazil. The main objective is to equip students with an analytical framework to understand from the Brazilian perspective the theoretical nuances (part 1 of the course), the movements related to black activism (part 2) and, finally, the public policies for the advancement of racial equality in Brazil (part 3). The course is based mainly on contemporary and avant garde literature on black politics in Brazil, and navigates around issues of race, law, economics and public policy at the forefront of racial challenges in Brazil and elsewhere.
In this seminar we will examine the thought of the early 20th-century German-Jewish thinker Walter Benjamin in light of his commitment to the task of philosophy (broadly understood) as a form of
Erkenntniskritik,
epistemological critique, that takes up questions of experience, history, culture, and politics in a damaged world. Paying special attention to Benjamin’s deployment and reshaping of theological tropes and figures, our considerations will be shaped around the following thematics: (1) the transformations of theorizing experience in relation to philosophies of history;
(2) the critique of culture and modernity; and (3) the aesthetics of rhetoric and affect in relation to social criticism.
The largest, richest and most influential country in South America is also home to one of the world’s most complex political systems. A young democracy with notable recent achievements, including a stable currency, growing reserves, solid institutions and positive demographic shifts, Brazil is governed by a confusing multi-party system, opaque relationships between the private and public sector and little political representation. The Car-Wash operation, the world’s largest corruption investigation, has had a defining political impact, playing a role in the impeachment of President Dilma, the investigation of President Temer and the arrest of some of Brazil’s most powerful politicians and businessmen. We will examine the structure of the Brazilian political system, including political parties and pressure groups, as well as conjunctural analysis ahead of the 2018 presidential election.
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.
Local and global fields, group cohomology, local class field theory, global class field theory and applications.
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