.
Prerequisites: Departmental approval.
Working research seminar devoted to helping students produce a substantive piece of writing that will represent the culmination of their work at the College and in the major.
Prerequisites: the department's permission. Supervised Individual Research
Sustainable development majors and special concentrators must register for this independent study to use internship hours for the practicum credit. Students must consult with their program adviser and department before registering. Offered fall, spring and summer.
Prerequisites: open only to qualified majors in the department; the director of undergraduate studies permission is required. An opportunity for research under the direction of an individual faculty member. Students intending to write a year-long senior thesis should plan to register for C3996 in the spring semester of their senior year and are strongly advised to consult the undergraduate studies as they plan their programs.
Prerequisites: Enrollment limited to senior Theatre majors. Combined and special majors may be considered under exceptional circumstances. Permission of the instructor required. In-depth research project culminating in a substantial written thesis on any aspect of drama, performance, or theatre research.
Prerequisites: the departmental consultant or director of undergraduate studies permission, and the instructors permission. Independent research and the writing of an essay under supervision of a member of the Art History Department. Only one independent study may be counted toward the major.
Prerequisites: The instructors permission. Students must have declared a major in Anthropology prior to registration. Students must have a 3.6 GPA in the major and a preliminary project concept in order to be considered. Interested students must communicate/meet with thesis instructor in the previous spring about the possibility of taking the course during the upcoming academic year. Additionally, expect to discuss with the instructor at the end of the fall term whether your project has progressed far enough to be completed in the spring term. If it has not, you will exit the seminar after one semester, with a grade based on the work completed during the fall term. This two-term course is a combination of a seminar and a workshop that will help you conduct research, write, and present an original senior thesis in anthropology. Students who write theses are eligible to be considered for departmental honors. The first term of this course introduces a variety of approaches used to produce anthropological knowledge and writing; encourages students to think critically about the approaches they take to researching and writing by studying model texts with an eye to the ethics, constraints, and potentials of anthropological research and writing; and gives students practice in the seminar and workshop formats that are key to collegial exchange and refinement of ideas. During the first term, students complete a few short exercises that will culminate in a substantial draft of one discrete section of their senior project (18-20 pages) plus a detailed outline of the expected work that remains to be done (5 pages). The spring sequence of the anthropology thesis seminar is a writing intensive continuation of the fall semester, in which students will have designed the research questions, prepared a full thesis proposal that will serve as a guide for the completion of the thesis and written a draft of one chapter. Only those students who expect to have completed the fall semester portion of the course are allowed to register for the spring; final enrollment is contingent upon successful completion of first semester requirements. In spring semester, weekly meetings will be devoted to the collaborative refinement of drafts, as well as working through issues of writing (evidence, voice, authority etc.). All enrolled students are required to present their project at a symposium in the late spring, and the final grade is based primarily on successful completion of the thesis/ capstone project. Note: The senior thesis seminar is open t
May be repeated for credit, but no more than 3 total points may be used toward the 128credit degree requirement. Only for APAM undergraduate students who include relevant off-campus work experience as part of their approved program of study. Final report and letter of evaluation required. Fieldwork credits may not count toward any major core, technical, elective, and nontechnical requirements. May not be taken for pass/fail credit or audited.
Prerequisites: Open to majors who have fulfilled basic major requirements or written permission of the staff member who will supervise the project. Specialized reading and research projects planned in consultation with members of the Asian and Middle Eastern Cultures teaching staff.
May be repeated for credit, but no more than 3 total points may be used toward the 128-credit degree requirement. Only for BMEN undergraduate students who include relevant off-campus work experience as part of their approved program of study. Final report and letter of evaluation required. Fieldwork credits may not count toward any major core, technical, elective, and non-technical requirements. May not be taken for pass/fail credit or audited.
This course will help students who are pursuing the Environmental Humanities Concentration and Minor to contextualize their senior projects within the larger field of Environmental Humanities. Students will also form a cohort to offer peer review and shared knowledge production in support of their projects.
Provides work experience on chemical engineering in relevant intern or fieldwork experience as part of their program of study as determined by the instructor. Written application must be made prior to registration outlining proposed internship/study program. A written report describing the experience and how it relates to the chemical engineering core curriculum is required. Employer feedback on student performance and the quality of the report are the basis of the grade. This course may not be taken for pass/fail or audited. May not be used as a technical or nontechnical elective. May be repeated for credit, but no more than 3 points total of CHEN E3999 may be used for degree credit.
CEEM undergraduate students only. Written application must be made prior to registration outlining proposed internship/study program. Final reports required. May not be taken for pass/fail credit or audited. International students must also consult with the International Students and Scholars Office.
Students must enroll for both 3998x and 3999y during their senior year. Selection of an actual problem in Earth and environmental engineering, and design of an engineering solution including technical, economic, environmental, ethical, health and safety, social issues. Use of software for design, visualization, economic analysis, and report preparation. Students may work in teams. Presentation of results in a formal report and public presentation.
Independent study
Prerequisites: the departments permission. This course is open only to those who have applied and been accepted into the departments senior essay program. For information about the program, including deadline for application, please visit http://english.columbia.edu/undergraduate/senior-essay-program.
Application required:
https://english.barnard.edu/english/independent-studies
. Senior majors who wish to substitute Independent Study for one of the two required senior seminars should consult the chair. Permission is given rarely and only to students who present a clear and well-defined topic of study, who have a department sponsor, and who submit their proposals well in advance of the semester in which they will register. There is no independent study for screenwriting or film production.
Application required:
https://english.barnard.edu/english/independent-studies
. Senior majors who wish to substitute Independent Study for one of the two required senior seminars should consult the chair. Permission is given rarely and only to students who present a clear and well-defined topic of study, who have a department sponsor, and who submit their proposals well in advance of the semester in which they will register. There is no independent study for screenwriting or film production.
Application required:
https://english.barnard.edu/english/independent-studies
. Senior majors who wish to substitute Independent Study for one of the two required senior seminars should consult the chair. Permission is given rarely and only to students who present a clear and well-defined topic of study, who have a department sponsor, and who submit their proposals well in advance of the semester in which they will register. There is no independent study for screenwriting or film production.
Prerequisites: Permission of the instructor. Enrollment limited to 15. Preregistration required. Examines the theory and practice of transnational feminist activism. We will explore the ways in which race, class, culture and nationality facilitate alliances among women, reproduce hierarchical power relations, and help reconstruct gender. The course covers a number of topics: the African Diaspora, suffrage, labor, development policy, colonialism, trafficking, consumerism, Islam, and the criminal justice system.
May be repeated for credit, but no more than 3 total points may be used toward the 128-credit degree requirement. Only for MECE undergraduate students who include relevant on-campus and off-campus work experience as part of their approved program of study. Final report and letter of evaluation required. Fieldwork credits may not count toward any major core, technical, elective, and nontechnical requirements. May not be taken for pass/fail credit or audited.
Two semesters of supervised interdisciplinary research in Medieval or Renaissance Studies terminating in the writing of a senior essay. The program of research is determined in consultation with the chair and under the guidance of the area adviser. It is supervised by the latter and an adviser from the second discipline involved in the project.
Prerequisites: admission to the departmental honors program. A two-term seminar for students writing the senior honors thesis.
Prerequisites: open only to qualified majors in the department; the director of undergraduate studies permission is required. An opportunity for research under the direction of an individual faculty member. Students intending to write a year-long senior thesis should plan to register for C3996 in the spring semester of their senior year and are strongly advised to consult the undergraduate studies as they plan their programs.
INDEPENDENT STUDY
Current topics in biomedical engineering. Subject matter will vary by year.
Current topics in biomedical engineering. Subject matter will vary by year.
Current topics in biomedical engineering. Subject matter will vary by year.
Current topics in biomedical engineering. Subject matter will vary by year.
This class offers an introduction to Hebrew culture from a historical and literary perspective, focusing on the intersection of linguistic ideology, and literary and cultural creativity. What, we will ask, is the relationship between what people think about Hebrew and what they write in Hebrew?
We will investigate the manners in which Hebrew was imagined – as the language of God, the language of the Jews, the language of the patriarchy, the language of secularism, the language of Messianism, the language of nationalism, a dead language, a diasporic Eastern European language, a local Middle Eastern Language, ext., and how these conflicting imaginaries informed Hebrew creativity.
This class does not require prior knowledge of Hebrew. Students proficient in Hebrew, Yiddish, Arabic, Ladino, and/or European languages are encouraged to contact the instructor in advance for supplementary material in these languages.
The PDL course aims to enhance and expand Columbia Engineering graduate students' interpersonal, professional, and leadership skills, through five core sessions, covering (1) in-person communication skills; (2) resume; (3) business writing; (4) social media and the job search; and (5) academic and professional ethics and integrity. ENGI E4000 also requires 5 elective sessions to further students' development based on their personal interests. Students must select at least one life management elective and one interview elective. This course is offered at the Pass/D/Fail grading option.
Prerequisites: Calculus through multiple integration and infinite sums. A calculus-based tour of the fundamentals of probability theory and statistical inference. Probability models, random variables, useful distributions, conditioning, expectations, law of large numbers, central limit theorem, point and confidence interval estimation, hypothesis tests, linear regression. This course replaces SIEO 4150.
Prerequisites: Calculus through multiple integration and infinite sums. A calculus-based tour of the fundamentals of probability theory and statistical inference. Probability models, random variables, useful distributions, conditioning, expectations, law of large numbers, central limit theorem, point and confidence interval estimation, hypothesis tests, linear regression. This course replaces SIEO 4150.
Prerequisites: Medical Informatics G4001, Computer Science W3139. Survey of the methods underlying the field of medical informatics. Explores techniques in mathematics, logic, decision science, computer science, engineering, cognitive science, management science and epidemiology, and demonstrates the application to health care and biomedicine.
Students are introduced to a quantitative, engineering approach to cellular biology and mammalian physiology. Beginning with biological issues related to the cell, the course progresses to considerations of the major physiological systems of the human body (nervous, circulatory, respiratory, renal).
An engineering and economic analysis of past, present and future energy resources. Technological options and their role in the world energy markets. Understanding limits of energy and power density and its impact of resource adoption and feasibility. Comparison of renewable and non-renewable energy resources and analysis of the consequences of various technological choices and constraints. Economic considerations, energy availability, and the environmental consequences of large-scale, widespread use of each particular technology. Critical analysis of carbon dioxide capture and carbon dioxide disposal as a means of sustaining the fossil fuel options in comparison to dramatic increase of electrified resources.
This course focuses on the ways in which museums conceptualize, contextualize, curate and display Islamic art. In the process, it interrogates the degree to which the orientalist past and the secular present shapes our understanding of the Muslim world. Students will not just engage with material objects from Muslim societies but also consider the choices museums make about their display and presentation. These choices, in turn, speak to the role of museums in defining a specific understanding of the “sacred.” Finally, students will learn to thoughtfully and critically pose questions about the roles that museums as public institutions play in sharping public and private understandings of Islam.
The course begins with a general discussion of material objects in the study of religion. This is followed by a broad survey of Islamic Art which both describes and critiques the category as it has been framed in the Academy. Students then visit a number of museums to learn about the style and content of their Islamic collections. The course concludes by engaging a different kind of curation, namely oral histories in the Brooklyn Museum.
Principles of physical chemistry applied to equilibria and kinetics of aqueous solutions in contact with minerals and anthropogenic residues. The scientific background for addressing problems of aqueous pollution, water treatment, and sustainable production of materials with minimum environmental impact. Hydrolysis, oxidation-reduction, complex formation, dissolution and precipitation, predominance diagrams; examples of natural water systems, processes for water treatment and for the production of inorganic materials from minerals.
Prerequisites: differential and integral calculus, differential equations, and PHYS UN3003 or the equivalent. Lagranges formulation of mechanics, calculus of variations and the Action Principle, Hamiltons formulation of mechanics, rigid body motion, Euler angles, continuum mechanics, introduction to chaotic dynamics.
For more than a century, scientists, policy makers, law enforcement, and government agencies
have collected, curated and analyzed data about people in order to make impactful decisions.
This practice has exploded along with the computational power available to these agents. Those
who design and deploy data collection, predictive analytics, and autonomous and intelligent
decision-making systems claim that these technologies will remove problematic biases from
consequential decisions. They aim to put a rational and objective foundation based on numbers
and observations made by non-human sensors in the management of public life and to equip
experts with insights that, they believe, will translate into better outcomes (health, economic,
educational, judicial) for all.
But these dreams and their pursuit through technology are as problematic as they are enticing.
Throughout American history, data has often been used to oppress minoritized communities,
manage populations, and institutionalize, rationalize, and naturalize systems of racial violence.
The impersonality of data, the same quality that makes it useful, can silence voices and
displace entire ways of knowing the world.
A graduate course only for MS&E, IE, and OR students. This is also required for students in the Undergraduate Advanced Track. For students who have not studied linear programming. Some of the main methods used in IEOR applications involving deterministic models: linear programming, the simplex method, nonlinear, integer and dynamic programming.
This course will follow the idea of abolition as expressed first through the eighteenthand
nineteenth-century struggle to end chattel slavery in the Americas, and then as it has come
to define the struggle against over-policing and mass-incarceration in the late twentieth and
early twenty-first centuries.
In the first half of the class, we will consider abolition in England and its colonies, Haiti,
Cuba, and the U.S. In so doing we will examine both primary sources from abolitionist print
culture (narratives by fugitives from slavery, speeches, poems, and polemical tracts), as well as
secondary sources by historians, literary critics, and political theorists. In the second half, we
will likewise read writing by activists (some incarcerated or formerly incarcerated, and some
not) alongside journalism and scholarship from the burgeoning interdisciplinary field of carceral
studies. Across both periods, Black writers will take up the bulk of our attention.
Numerical and symbolic (algebraic) problem solving with Mathematica. Formulation for graphics application in civil, mechanical, and bioengineering. Example of two-and three-dimensional curve and surface objects in C++ and Mathematica; special projects of interest to electrical and computer science.
Linear, quadratic, nonlinear, dynamic, and stochastic programming. Some discrete optimization techniques will also be introduced. The theory underlying the various optimization methods is covered. The emphasis is on modeling and the choice of appropriate optimization methods. Applications from financial engineering are discussed.
Prerequisites: MATH UN3007 A one semeser course covering the theory of modular forms, zeta functions, L -functions, and the Riemann hypothesis. Particular topics covered include the Riemann zeta function, the prime number theorem, Dirichlet characters, Dirichlet L-functions, Siegel zeros, prime number theorem for arithmetic progressions, SL (2, Z) and subgroups, quotients of the upper half-plane and cusps, modular forms, Fourier expansions of modular forms, Hecke operators, L-functions of modular forms.
This course is organized around a number of thematic centers or modules. Each is focused on stylistic peculiarities typical of a given functional style of the Ukrainian language. Each is designed to assist the student in acquiring an active command of lexical, grammatical, discourse, and stylistic traits that distinguish one style from the others and actively using them in real-life communicative settings in contemporary Ukraine. The styles include literary fiction, scholarly prose, and journalism, both printed and broadcast
Advanced topics in linear algebra with applications to data analysis, algorithms, dynamics and differential equations, and more. (1) General vector spaces, linear transformations, spaces isomorphisms; (2) spectral theory - normal matrices and their spectral properties, Rayleigh quotient, Courant-Fischer Theorem, Jordan forms, eigenvalue perturbations; (3) least squares problem and the Gauss-Markov Theorem; (4) singular value decomposition, its approximation properties, matrix norms, PCA and CCA.
.
Discrete optimization problems. Mathematical techniques and testing strengths and limits in practice on relevant applications. Transportation (travelling salesman and vehicle routing) and matching (online advertisement and school allocation) problems.
Close readings of specific texts, as well as methods, skills, and tools.
Basic concepts of spatial data representation and organization, and analytical tools are introduced and applied in a form of case studies from hydrology, environmental conservation, and emergency response to natural or man-made hazards, among others. Technical content includes geographic topics (map projections, cartography, etc.), spatial statistics, database design and use, interpolation and visualization of spatial surfaces and volumes, and multi-criteria decision analysis. Students will learn the basics of ArcGIS Pro, Model Builder and Python. Elective term projects or final exams emphasize spatial information synthesis towards the solution of a specific problem.
Basic concepts of spatial data representation and organization, and analytical tools are introduced and applied in a form of case studies from hydrology, environmental conservation, and emergency response to natural or man-made hazards, among others. Technical content includes geographic topics (map projections, cartography, etc.), spatial statistics, database design and use, interpolation and visualization of spatial surfaces and volumes, and multi-criteria decision analysis. Students will learn the basics of ArcGIS Pro, Model Builder and Python. Elective term projects or final exams emphasize spatial information synthesis towards the solution of a specific problem.
Mathematical description of chemical engineering problems and the application of selected methods for their solution. General modeling principles, including model hierarchies. Linear and nonlinear ordinary differential equations and their systems, including those with variable coefficients. Partial differential equations in Cartesian and curvilinear coordinates for the solution of chemical engineering problems.