Independent projects involving experimental, theoretical, computational, or engineering design work. May be repeated, but no more than 3 points of this or any other projects or research course may be counted toward the technical elective degree requirements as engineering technical electives.
Prerequisites: approval by a faculty member who agrees to supervise the work.
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.
Prerequisites: senior standing.
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: 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. Independent project involving laboratory work, computer programming, analytical investigation, or engineering design.
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. Independent project involving laboratory work, computer programming, analytical investigation, or engineering design.
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: Approval by faculty member who agrees to supervise the work.
Normally not to be taken in a student's final 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.
Prerequisites: Approval by faculty member who agrees to supervise the work.
Normally not to be taken in a student's final 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.
Prerequisites: Approval by faculty member who agrees to supervise the work.
Normally not to be taken in a student's final 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.
Prerequisites: admission to the departmental honors program.
A two-term seminar for students writing the senior honors thesis.
Seminars have limited enrollment. Permission of the instructor is required for admission to all Barnard and Columbia seminars. In addition, it is strongly recommended that students seeking admission to a seminar have previously had a lecture course in the area. Students must sign up for Columbia seminars at 826 Schermerhorn.
Independent research, primarily for the senior essay, under a chosen faculty adviser and with the chair's permission.
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.
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.
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.
Additional current topics in biomedica engineering taught by regular or visiting faculty. The same subject matter is not usually considered in different years.
Prerequisites: Probability and Statistics at the level of SIEO W3600 or SIEO W4150, and Deterministic Models at the level of IEOR E3608 or IEOR E4004, or instructor permission.
Required course for MSIE.
This course provides an introduction to important topics in Production and Operations Management. We introduce quantitative models and solution techniques for a wide variety of production planning and inventory management problems faced by a number of businesses that regularly solve these problems in the face of uncertainties in various critical components such as demand, costs and lead times. We discuss managerial insights from the models to strengthen our understanding of the problems faced by a production and operations manager. This course should appeal to Masters (EMS, IE and OR) and undergraduate students (EMS, IE and OR) in the IEOR department, and students with some quantitative background from the Civil Engineering & Engineering Mechanics department. This course cannot be taken by undergraduates without advisor approval.
Overview of the field of biomedical informatics,combining perspectives from medicine, computer science, and social science. Use of computers and information in health care and the biomedical sciences, covering specific applications and general methods, current issues, capabilities and limitations of biomedical informatics.
Corequisites: BMEN E3010,BMEN E3810
Physiological systems at the cellular and molecular level are examined in a highly quantitative context. Topics include chemical kinetics, molecular binding and enzymatic processes, molecular motors, biological membranes, and muscles.
Prerequisites: First-year chemistry and physics, vector calculus, ordinary differential equations, and the instructor's permission.
Part of an accelerated consideration of the essential chemical engineering principles from the undergraduate program, including selected topics from Introduction to Chemical Engineering, Transport Phenomena I and II, and Chemical Engineering Control. While required for all M.S. students with Scientist to Engineer status, the credits from this course may not be applied toward any chemical engineering degree.
Prerequisites:
UKRN W2102
or the equivalent.
The course is for students who wish to develop their mastery of Ukrainian. Further study of grammar includes patterns of word formation, participles, gerunds, declension of numerals, and a more in-depth study of difficult subjects, such as verbal aspect and verbs of motion. The material is drawn from classical and contemporary Ukrainian literature, press, electronic media, and film. Taught almost exclusively in Ukrainian.
Prerequisites: First-year chemistry and physics, vector calculus, ordinary differential equations, and the instructor's permission.
Part of an accelerated consideration of the essential chemical engineering principles from the undergraduate program, including topics from Reaction Kinetics and Reactor Design, Chemical Engineering Thermodynamics, I and II, and Chemical and Biochemical Separations. While required for all M.S. students with Scientist to Engineer status, the credits from this course may not be applied toward any chemical engineering degree.
This course addresses the main problems that contribute to the making of Romanian identity, as fragmented or as controversial as it may seem to those who study it. The aim is to become familiar with the deepest patterns of Romanian identity, as we encounter it today, either in history, political studies, fieldwork in sociology or, simply, when we interact with Romanians. By using readings and presentations produced by Romanian specialists, we aim to be able to see the culture with an "insider's eye", as much as we can. This perspective will enable us to develop mechanisms of understanding the Romanian culture and mentality independently, at a more profound level and to reason upon them.
Prerequisites: CHEE E3010
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: Probability and Statistics at the level of SIEO W3600 or SIEO W4150, and Deterministic Models at the level of IEOR E3608 or IEOR E4004, or instructor permission.
This course is required for all undergraduate students majoring in IE, OR:EMS, OR:FE and OR. This course discusses how to allocate capital to projects within a firm in order to maximize the value of the firm to its shareholders. We describe how an investment project can be characterized by its cash flow profile, i.e., the amount and timing of costs and benefits of this project in the planning horizon. We show how firms should take into account the cost of capital, budgets, taxes, depreciation, inflation, and uncertainty, in order to decide which projects to undertake, reject, or postpone. This course is a good preparation for positions in investment banking, consulting, private equity, venture capital, corporate finance, and construction management, and for entrepreneurs. Students can take only one of IEOR E4003 and IEOR E4403, but not both.
Prerequisites: one year of biology; a course in physics is highly recommended.
Lecture and recitation. This is an advanced course intended for majors providing an in depth survey of the cellular and molecular aspects of nerve cell function. Topics include the cell biology and biochemistry of neurons, ionic and molecular basis of electrical signals, synaptic transmission and its modulation, function of sensory receptors. Although not required, it is intended to be followed by Neurobiology II (see below). The recitation meets once per week in smaller groups and emphasizes readings from the primary literature.
Prerequisites: Refer to course syllabus.
This graduate course is only for MS&E, IE and OR students. This is also required for students in the Undergraduate Advanced Track.
This class is an introduction to the fundamental methods used in deterministic operations research. Topics covered will include linear programming, network flows, dynamic programming, and nonlinear programming. While we shall discuss the underlying theory with some occasional proofs, the emphasis will be on modeling. Applications of these ideas in various settings will be discussed. Students will learn modeling skills, and develop the ability to build, analyze, and reason logically with models. They will also learn to design and analyze algorithms, and to distinguish good algorithms from not-so good ones. They will also appreciate the capabilities and limitations of deterministic models in operations research.