Prerequisites: the director of undergraduate studies permission. A program of research in Greek literature. Research paper required.
Designed for students writing a senior thesis or doing advanced research on Greek or Greek Diaspora topics.
Prerequisites: the director of undergraduate studies permission. A program of research in Latin literature. Research paper required.
Independent project involving theoretical, computational, experimental, or engineering design work. May be repeated, but no more than 3 points may be counted toward degree requirements. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students must submit both a project outline prior to registration and a final project write-up at the end of the semester.
Independent project involving theoretical, computational, experimental, or engineering design work. May be repeated, but no more than 3 points may be counted toward degree requirements. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students must submit both a project outline prior to registration and a final project write-up at the end of the semester.
Independent project involving theoretical, computational, experimental, or engineering design work. May be repeated, but no more than 3 points may be counted toward degree requirements. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students must submit both a project outline prior to registration and a final project write-up at the end of the semester.
Independent project involving theoretical, computational, experimental, or engineering design work. May be repeated, but no more than 3 points may be counted toward degree requirements. Projects requiring machine-shop use must be approved by the laboratory supervisor. Students must submit both a project outline prior to registration and a final project write-up at the end of the semester.
Prerequisites: approval prior to registration; see the director of undergraduate studies for details. A creative/scholarly project conducted under faculty supervision.
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.
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: 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 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
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. 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.
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.
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.
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.
The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.
The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.
The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.
The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.
The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.
The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.
Prerequisite: Successful completion of URBS UN2200 Introduction to GIS Methods, or equivalent with instructor permission.
With the veritable explosion of urban data alongside the continued proliferation of new tools for its consideration, this course allows students to develop specialized approaches to spatial analysis while introducing a series of common advanced techniques and nuanced methodological questions. Aimed at covering a variety of topics with immediate relevance to urbanism in practice and in research, the course operates with a two-fold mission: (1) to critically discuss the theories, concepts, and research methods involved in spatial analysis and (2) to learn the techniques necessary for engaging those theories and deploying those methods. The class will work to meet this mission with a dedicated focus on the urban environment and the spatial particularities and relationships that arise from the urban context.
Among others, this course takes as a foundational premise that spatial analysis within geographic information systems is an incredibly powerful and double-edged weapon: it provides both the methods for answering complex spatial questions and the means for effectively communicating the results. Like any other weapon it can serve many ends, and as such an advanced course in spatial analysis must frame its use within the developing discourse on professional practice and responsibility.
The course is designed with a combination format. Early weeks are predominantly lecture-style presentations supplemented with discussion and technical demonstration and exercises. Students are expected to complete these exercises outside of class (as homework), bringing their questions to our discussion. The latter half of the course is a project-based seminar. Seminar-style presentation and discussion will rely heavily on student participation and preparation to consider the variety of spatial methods available and their implications on urban research and intervention. Woven throughout the semester is the development of a self-driven research project, through which students will engage and compare the methodological advantages and disadvantages of several assumptions, approaches, analyses, and datasets.
How have painters, filmmakers, novelists, and other artists portrayed the history of Africans and their descendants in Latin America? How do those portrayals – of the Middle Passage, slavery, revolution, abolition, and contemporary social movements, to name a few examples – compare to scholarly approaches to those same subjects? To answer these and other questions, this class brings together a wide array of materials covering more than five hundred years of Afro-Latin American history. The course will move chronologically from the 15th century to the present, with each week devoted to grappling with a topic relevant to the history of Afro-Latin America in a given era, as viewed through both artistic and scholarly sources. Students will come to class prepared to consider what each has to offer to our understanding of the past. We will also debate the possibilities of using art to disseminate historical knowledge, and whether there any dangers to privileging artistic over scholarly approaches to history (or vice versa). In addition, because NYC is home to so many museums, archives, and cultural institutions relevant to our subject, it will serve as an experiential laboratory where we will spend several of our class meetings. Learning outcomes. By the end of the semester, students will be skilled at the following:
analyzing artistic and scholarly sources on their own terms
discussing them in relation to one another
evaluating the utility of these diverse materials to the process of understanding the past.
Prerequisites: for undergraduates: Introductory Genetics (W3031) and the instructors permission. This seminar course provides a detailed presentation of areas in classical and molecular genetics for advanced undergraduates and beginning graduate students. Topics include transmission genetics, gain and loss of function mutations, genetic redundancy, suppressors, enhancers, epistasis, expression patterns, using transposons, and genome analysis. The course is a mixture of lectures, student presentations, seminar discussions, and readings from the original literature.
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.
"It seems to me interesting to evaluate Black literature on what the writer does with the presence of an ancestor...How the Black writer responds to that presence interests me." Toni Morrison, “Rootedness: The Ancestor as Foundation," 1984
When Alice Walker went "In Search of Zora Neale Hurston " she embarked on a quest for a literary ancestor, an artist, and creator, who, as Toni Morrison writes in "Rootedness: The Ancestor as Foundation," 1984, is "of the tribe and in it." Who are these "timeless people" we call our ancestors? What stories, traditions, and wisdom have they passed on to help us better understand ourselves and each other? What is our role in preserving their stories? How might they inspire us to tell our own? Using the essays "In Search of Zora Neale Hurston" and "Rootedness: The Ancestor as Foundation" as starting points, this seminar explores the intricate relationship between writers and scholars and their literary ancestors who are also, at times, mentors and friends. We examine how they have delved into the lives and works of their chosen literary ancestors, using scholarly analysis, personal reflections, memoir, travelogue, and other creative methods to probe, honor, challenge, and expand our view and understanding of their predecessors.
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.
This course moves from Serbia and Bosnia, to Ukraine and the Czech lands, through Poland to Russia and Finland and then on to the southern Siberian steppes and finally the Russian Far East. Along the way, the course is divided into three major thematic and theoretical units.
Epics and Ballads: History, Performance, Identity
Our first focus is on historical songs in the context of Romantic nationalism. We will explore why people (philologists) began to write these down, and how they were they edited and organized into print books. We discuss what these publications meant in the context of Romantic nationalist movements for political autonomy from the Ottoman or Hapsburg Empires. Given the stakes, some scholars were (maybe too) creative with their material. We will ask: What makes an epic text authentic, as opposed to an invented tradition, or even a fake? Throughout, we will pay attention to how traditions of oral performance were learned and transmitted within specific communities of artists, such as Ramadan performers, upper-class Bosnian women, and Ukrainian minstrels.
Words in Context: Poetry, Power, Positioning
Our second unit begins with the theoretical redefinition of folklore in the 20th c. Folklore is no longer defined by
who
performs it (e.g. peasants), but by its characteristics of variation and localization. We begin with a genre that anyone can perform—the proverb. To understand the power of small forms we need place them in their real-world context. We learn about ethnographic interviewing methods aimed at eliciting the local meanings of folklore. We consider relationship between the body and verbal folklore in south Siberian shamanism and in the performance of charms by folk healers in Russia and Finland. In order to bring the study of folklore home, to us at Columbia, we consider campus legends and folklore of the COVID-19 pandemic. This unit provides students with the tools needed to design and carry out their own mini-ethnography, which serves as the final project for the course.
Oral Narrative: Legends, Fairytales, Cross-Cultural Motifs
Our last major unit is dedicated to folk narrative—the memorate (personal narrative), the legend and the fairytale. We begin with Russian memorates about nature and house spirits. Narratives told as true events (memorates, legends) are contrasted with the genre of the fairy tale. We learn about how fairy tales were typically performed
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.
RECITATION FOR STAT4203GU PROBABILITY THEORY
In this seminar, students will learn how to interpret Black Performance through historical, social, and political theory. In studying Black Performance, students will engage strategies of subversion and resistance to dominant ideologies throughout the African diaspora. With a focus on the blues and its other-worldly iterations, we will cover theorists and topics from the Black Radical tradition such as Zora Neale Hurston and American South gothic folklore; Amiri Baraka and the blues; Greg Tate and hip-hop; bell hooks and queering the Black gaze; Fred Moten and abstraction; Angela Davis and imagining abolition, and more. We will pair theory with praxis by engaging masterpieces by Black performing artists in music, dance, comedy, theatre, as well as film and television.
As a seminar, students should prepare to participate in in-depth discussions weekly by completing the reading and viewing assignments. Since the central subject matter is performance studies and visual culture based in African-American studies, an interdisciplinary field, the course has a strong multi-media element. Students should expect to view films regularly, both online and in class. Students are also strongly encouraged to attend outside exhibitions and performances for extra credit. Syllabus is subject to change.
This syllabus has drawn from the research of a community of social justice scholars, including the writers of the #Trans-Justice Syllabus, #Immigration Syllabus, #Black Lives Matter Syllabus, and #The Charlottesville Syllabus.
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.
RECITATION FOR STAT4204GU STATISTICAL INFERENCE
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.
The classical prophetic political tradition derives from biblical prophets like Amos, Isaiah and Jeremiah who, with strong words, courageous deeds and abiding faith in the righteousness of their causes, struggled to transform oppressive, exploitive regimes of power into just and equitable political institutions that would “let justice roll down as water and righteousness like a mighty stream.” For millennia this tradition has been a touchstone for peoples throughout the world in their struggles for freedom.
This course will seek to understand the role of the biblical prophetic political tradition in the ongoing struggle of African Americans for political equity and justice in America. Our exploration will range from David Walker’s revolutionary early nineteenth century
Appeal to the Colored Citizens of the World
to the racial claims and counter claims in our contemporary moment.
RECITATION FOR STAT4206GU PROGRAMMING FOR DATA SCIENCE
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.