Prerequisites:
approval by a faculty member who agrees to supervise the work.
Independent work involving experiments, computer programming, analytical investigation, or engineering design.
Prerequisites:
approval by a faculty member who agrees to supervise the work.
Independent work involving experiments, computer programming, analytical investigation, or engineering design.
Prerequisites:
approval by a faculty member who agrees to supervise the work.
Independent work involving experiments, computer programming, analytical investigation, or engineering design.
Prerequisites:
MATH V3027
,
V3028
, and
V2010
, or their equivalents. May be taken before or concurrently with this course.
Required for all applied mathematics major in the junior year. Introductory seminars on problems and techniques in applied mathematics. Typical topics are nonlinear dynamics, scientific computation, economics, operation research, etc.
This course is required for, and can be taken only by, all applied physics majors and minors in the junior year. Discussion of specific and self-contained problems in areas such as applied electrodynamics, physics of solids, and plasma physics. Topics change yearly.
Prerequisites: approval by a faculty member who agrees to supervise the work.
A second-level independent project involving laboratory work, computer programming, analytical investigation, or engineering design. May be repeated for credit, but not for a total of more than 3 points of degree credit. Consult the department for section assignment.
This course is required for all applied mathematics majors in the senior year. Prerequisites or corequisites: APMA E4200 and E4204 or their equivalents. For 4 pts. credit, term paper required. Examples of problem areas are nonlinear dynamics, asymptotics, approximation theory, numerical methods, etc. Approximately three problem areas are studied per term.
This course is required for, and can be taken only by, all applied physics majors in the senior year. Discussion of specific and self-contained problems in areas such as applied electrodynamics, physics of solids, and plasma physics. Formal presentation of a term paper required. Topics change yearly.
Topic: Mobile Cloud - Optimization and Security.
Because the beginnings of jazz and film both date to the last years of the nineteenth century, the two art forms essentially grew up together. The history of both is inseparable from the technological revolutions of the twentieth century, and at least in the United States, from histories of racial representation. We will explore the racial issues raised by American films along with how filmmakers represent gender, American humor, discourses of art and the popular, and the conventions of narrative. We will pay special attention to how all of this changes dramatically throughout the twentieth and early twenty-first centuries. After establishing what is most American about jazz and cinema, we will move on to documentary films as well as to films from Europe where many of the dominant American myths about jazz are both perpetuated and transformed. The goal of the course is to understand jazz as a music as well as a cultural practice that has been in constant flux during the last 120 years. The representation of the music and its practitioners in cinema is crucial to an understanding of the music at each of its many cultural moments.
An examination of literary and cinematic narratives of the Second World War produced in the decades since 1940 in Europe, America, and Asia. The analytic approach centers both on the historicity of, and the history in, the texts, with the goal of questioning the nature of narrative in different forms through a blend of literary and historical approaches.
Science and technology of conventional and advanced microfabrication techniques for electronics, integrated and discrete components. Topics include diffusion; ion implantation, thin-film growth including oxides and metals, molecular beam and liquid-phase epitaxy; optical and advanced lithography; and plasma and wet etching.
Prerequisites: EAEE E4901, E4003, CIEE E4252 or the instructor's approval.
Qualitative and quantitative considerations in engineered environmental biochemical processes. Characterization of multiple microbial reactions in a community and techniques for determining associated kinetic and stoichiometric parameters. Engineering design of several bioreactor configurations employed for biochemical waste treatment. Mathematical modeling of engineered biological reactors using state-of-the-art simulation packages.
Prerequisites: Instructor's permission.
This course may be repeated for credit. Topics and instructors change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, and other fields.
Examines prose and poetry by writers generally less accessible to the American student written in the major Central European languages: German, Hungarian, Czech, and Polish. The problematics of assimilation, the search for identity, political commitment and disillusionment are major themes, along with the defining experience of the century: the Holocaust; but because these writers are often more removed from their Jewishness, their perspective on these events and issues may be different. The influence of Franz Kafka on Central European writers, the post-Communist Jewish revival, defining the Jewish voice in an otherwise disparate body of works.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Designed for graduates who want to do directed reading in a period or on a topic not covered in the curriculum.
Prerequisites: Requires approval by a faculty member who agrees to supervise the work.
May be repeated for credit, but no more than 3 total points may be used for degree credit. Substantial independent project involving laboratory work, computer programming, analytical investigation, or engineering design.
This is a required course for undergraduate students majoring in OR:EMS. Managing Technological Innovation offers a principles-based approach to identifying, analyzing, and attacking high-growth markets. Students will learn to examine and analyze novel business problems in nascent industries with billion dollar potential. Lectures will focus on rational market analysis, separating signal from noise, executing sound decision-making processes in the startup context, and venture market psychology. The class will be a mix of case studies, lectures, guest speakers from the startup community, and in-class discussions. Grading will be based on class participation, case analyses, and longer group papers. Student will be expected to contribute thoughtful, well-reasoned, and clearly elucidated comments to discussions. In return for your attention and effort, you will have the chance to discuss real-world business problems with some of New York's most successful technology entrepreneurs and investors. Past guests have included founders and investors from AppNexus, Codecademy, BankSimple, Betterment, GroupMe, MongoDb, Razorfish, Union Square Ventures, IA Ventures, Andreessen Horowitz, and Founder Collective. This class is taught by two working professionals, and we expect the same quality of effort and attention to detail from our students as we would from anyone who works with us. There are no formal prerequisites, but knowledge and interest in the startup world, some knowledge about how small businesses are run, and the ability to write and communicate clearly will be important to do well.
Instructor's written approval required. Written application must be made prior to registration outlining proposed study program. Final reports required. This course may not be taken for pass/fail credit or audited. International students must also consult with the International Students and Scholars Office.
Prerequisites: Instructor's written permission.
Only EAEE graduate students who need relevant offcampus work experience as part of their program of study as determined by the instructor. Written application must be made prior to registration outlining proposed study program. Final reports required. This course may not be taken for pass/ fail credit or audited. International students must also consult with the International Students and Scholars Office.
Prerequisites:
Obtained internship and approval from faculty advisor.
Only for IEOR graduate students who need relevant work experience as part of their program of study. Final reports required. This course may not be taken for pass/fail credit or audited.
Prerequisites: Instructor's written approval.
Only for ME graduate students who need relevant intern or field-work experience as part of their program of study as determined by the instructor. Written application must be made prior to registration outlining proposed study program. Final reports required. This course may not be taken for pass/fail credit or audited. International students must also consult with the International Students and Scholars Office.
In the first semester a series of workshops will introduce the field of international history and various research skills and methods such as conceptualization of research projects and use of oral sources. The fall sessions will also show the digital resources available at Columbia and how students can deploy them in their individual projects. In the second semester students will apply the skills acquired in the fall as they develop their proposal for the Master's thesis, which is to be completed next year at the LSE. The proposal identifies a significant historical question, the relevant primary and secondary sources, an appropriate methodology, what preliminary research has been done and what remains to be done. Students will present their work-in-progress.