Prerequisites: Probability and Statistics at the level of SIEO W3600 or SIEO W4150 or instructor permission.
This graduate course is only for MS&E, IE and OR students. This is also required for students in the Undergraduate Advanced Track. This course introduces students to operations research and stochastic processes. Operations research is concerned with quantitative decision problems, generally involving the allocation and control of limited resources, often in the presence of significant uncertainty. Stochastic processes are collections of random variables, usually indexed by time. [In stochastic process models, time can be regarded as either discrete or continuous.] For example, we might use stochastic processes to model the evolution of a stock price over time, the damage claims received by an insurance company over time, the work-in-process inventory in a factory over time or the number of calls waiting in a telephone call center over time, all of which evolve with considerable uncertainty. Among the stochastic processes to be considered are discrete-time Markov chains, random walks, continuous-time Markov chains, Poisson processes, birth-and-death processes, renewal processes, renewal-reward processes, Brownian motion and geometric Brownian motion. Among the engineering applications to be considered are queuing, inventory and finance.
Prerequisites: Probability and Statistics at the level of SIEO W3600 or SIEO W4150 or instructor permission.
This graduate course is only for MS&E, IE and OR students. This is also required for students in the Undergraduate Advanced Track. This course introduces students to operations research and stochastic processes. Operations research is concerned with quantitative decision problems, generally involving the allocation and control of limited resources, often in the presence of significant uncertainty. Stochastic processes are collections of random variables, usually indexed by time. [In stochastic process models, time can be regarded as either discrete or continuous.] For example, we might use stochastic processes to model the evolution of a stock price over time, the damage claims received by an insurance company over time, the work-in-process inventory in a factory over time or the number of calls waiting in a telephone call center over time, all of which evolve with considerable uncertainty. Among the stochastic processes to be considered are discrete-time Markov chains, random walks, continuous-time Markov chains, Poisson processes, birth-and-death processes, renewal processes, renewal-reward processes, Brownian motion and geometric Brownian motion. Among the engineering applications to be considered are queuing, inventory and finance.
Prerequisites: MATH V1202 and APMA E2101
Fundamental concepts of probability and statistics applied to biology and medicine. Probability distributions, hypothesis testing and inference, summarizing data and testing for trends. Signal detection theory and the receiver operator characteristic. Lectures accompanied by data analysis assignments using MATLAB as well as discussion of case studies in biomedicine.
This course will compare and contrast the theories of the political, the state,freedom, democracy, sovereignty and law, in the works of the following key 20th and 21st century continental theorists: Arendt, Castoriadis, Foucault, Habermas, Kelsen, Lefort, Schmitt, and Weber. It will be taught in seminar format.
Prerequisites: Working knowledge of calculus.
Introduction to basic probability; hazard function; reliability function; stochastic models of natural and technological hazards; extreme value distributions; Monte Carlo simulation techniques; fundamentals of integrated risk assessment and risk management; topics in risk-based insurance; case studies involving civil infrastructure systems, environmental systems, mechanical and aerospace systems, construction management. Not open to undergraduate students.
Prerequisites:
COMS W3134
,
W3136
, or
W3137
, fluency in Java; or the instructor's permission.
The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, XML, query processing, physical database tuning, transaction processing, security. Programming projects are required.
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 for MS-MS&E students only. This course aims to develop and harness the modeling, analytical and managerial skills of engineering students and apply them to improve the operations of both service and manufacturing firms. The course is structured as a hands-on laboratory in which students "learn by doing" on real-world consulting projects (October to May). The student teams focus on identifying, modeling and testing (and sometimes implementing) operational improvements and innovations with high potential to enhance the profitability and/or achieve sustainable competitive advantage for their sponsor companies. The course is targeted toward students planning careers in technical consulting (including operations consulting) and management consulting, or pursuing positions as business analysts in operations, logistics, supply chain and revenue management functions, positions in general management and future entrepreneurs.
Prerequisites: Recommended but not required: APPH E3100 and APPH E3300 or their equivalents.
Optical resonators, interaction of radiation and atomic systems, theory of laser oscillation, specific laser systems, rate processes, modulation, detection, harmonic generation, and applications.
Stress and deformation formulation in two-and three-dimensional solids; viscoelastic and plastic material in one and two dimensions energy methods.
Prerequisites:
COMS W3134
,
W3136
, or
W3137
(or equivalent),
W3261
, and
CSEE W3827
, or the instructor's permission.
Modern programming languages and compiler design. Imperative, object-oriented, declarative, functional, and scripting languages. Language syntax, control structures, data types, procedures and parameters, binding, scope, run-time organization, and exception handling. Implementation of language translation tools including compilers and interpreters. Lexical, syntactic and semantic analysis; code generation; introduction to code optimization. Teams implement a language and its compiler.
Prerequisites: CSEE W3827 and knowledge of C and programming tools as covered in W3136, W3157, or W3101, or the instructor's permission. Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of Android and Linux operating systems. A programming project is required.
This course introduces important Japanese films across the genres of dramatic feature, documentary and animation. The films are organized according to the following three topics: global genres, war and documentary, the animation theories of ‘cinematism/animetism’. The reading assignments cover issues ranging from technological and structural changes in film history, to critical theories of gender and sexuality as well as globalization/national cinema, and to analyses of medium specificity. The course closely examines filmic languages of works by auteur directors such as Akira Kurosawa, Hiroshi Teshigahara and Hayao Miyazaki. , No prerequisite necessary, though familiarity with Japanese history is helpful. Film screenings Tuesdays 8:10-10 P.M.
Corequisites:
SIEO W3600
or
IEOR E3658
, or equivalent.
Introduction to computer networks and the technical foundations of the Internet, including applications, protocols, local area networks, algorithms for routing and congestion control, security, elementary performance evaluation. Several written and programming assignments required.
Prerequisite: CHEN E3210 or equivalent thermodynamics course, or the instructor's permission. Fundamental principles and underlying assumptions of statistical mechanics. Boltzmann's entropy hypothesis and its restatement in terms of Helmholtz and Gibbs free energies and for open systems. Correlation times and lengths. Exploration of phase space and observation timescale. Correlation functions. Fermi-Dirac and Bose-Einstein statistics. Fluctuation-response theory. Applications to ideal gases, interfaces, liquid crystals, microemulsions and other complex fluids, polymers, Coulomb gas, interactions between charged polymers and charged interfaces, ordering transitions.
The seminar will cover the background and the dynamics of the Federal Convention that proposed the Constitution of the United States in 1787. The basic readings are Vols. I and II of Max Farrand's
Records of the Federal Convention
, mainly based on the notes that James Madison took during the Convention. (Passages from this work will be assigned later.) The purpose of the seminar is partly to illuminate the nature of constitutions and of constitution-making more generally, and partly to identify causal mechanisms that can explain the choices that were made at the Convention. Theories of collective action, of bargaining and of deliberation will have a central place. We shall not study the process of ratification of the Constitution, except to the extent that the framers' anticipation of the ratifying conventions constrained their choices. Nor shall we draw heavily on
The Federalist Papers
, except when they illuminate the sometimes cryptic statements in Madison's notes.
As of academic year 2016-2017, this course is now POLS 8121.
Welfare states play a pivotal role in processes of social stratification; they are shaped by but also shape social inequalities. Whereas the first part of the course focuses on how immigration affects various dimensions of welfare states, the second half will focus on the opposite: the role that welfare states play in the incorporation of immigrants. Existing welfare states scholarship has focused significant attention on inequalities by gender and especially social class, and we will read and discuss a few of the most influential works on these topics as a point of departure. We will then turn to the small but growing literature that addresses immigrants’ social rights within various welfare regimes and the implications of these rights for inequalities between immigrant/immigrant-descended populations;majority populations.
Our topic necessitates an interdisciplinary approach. We will read works by sociologists, political scientists, and economists, and as relevant, we will discuss disciplinary differences in substantive focus and method.
Prerequisites: Graduate standing in Civil Engineering, or instructor's permission.
Introduction to the principles, methods and tools necessary to manage design and construction processes. Elements of planning, estimating, scheduling, bidding and contractual relationships. Valuation of project cash flows. Critical path method. Survey of construction procedures. Cost control and effectiveness. Field supervision.
Prerequisites: Successful completion of an undergraduate chemical engineering thermodynamics course.
The course provides a rigorous and advanced foundation in chemical engineering thermodynamics suitable for chemical engineering PhD students expected to undertake diverse research projects. Topics include Intermolecular interactions, non-ideal systems, mixtures, phase equilibria and phase transitions and interfacial thermodynamics.
This course prepares students to understand, analyze, and develop policies and procedures to address sustainability issues faced by urban centers in the developed and developing world, their decision-makers, and inhabitants. Enrolled students are assumed to have had no previous in-depth exposure to sustainable urban development and urban planning. By the end of the course, students will have learned the following skills necessary to develop strategies and related actions to enhance sustainability of cities: identify and support good practices in green and efficient urban development and planning; develop policies and foster technologies used to promote energy efficiency and reduced GHG emissions from buildings and transportation; develop policies and foster technologies necessary to ensure access to clean water; develop policies and foster technologies necessary for the effective collection, disposal, and possible re-use of waste; create approaches to climate change adaptation measures undertaken by cities; develop, track, and analyze sustainability metrics and indicators for urban centers. This course can also be counted toward Area 1: Integrative Sustainability Management.
Prerequisites: CIEN E4129 or equivalent.
Current methods of construction, cost-effective designs, maintenance, safe work environment. Design functions, constructability, site and environmental issues.
Prerequisites: Contemporary Civilization or a comparable introduction to political theory course.
In this course, we will read classical and medieval writings that span multiple linguistic, historic and religious contexts. The goal is to explore similar notions of the just world that span these varied writings, from Plato's Republic to Zoroastrian and Early Islamic writings on just rule. Such similarities will highlight how some of these works represent cultural amalgams that blend Greek, Persian and Arabic elements. Yet, we will also consider how these writings differ and how their authors constructed them to respond to their unique political concerns. Throughout this course, we will consider how authors drew upon their foreign status, as aliens, outsiders, or clients to conquering tribes, to transform politics. And we will ask why these authors invoke and re-imagine particular models of the just world to represent their ideal notions of sovereignty, equity and justice. In the end, we will question how the foreign roots of ancient and medieval thought can help us fathom the basic underpinnings of founding documents today.
Prerequisites: CIEN E4129 or equivalent.
Planning and financing of capital facilities with a strong emphasis upon civil infrastructure systems. Project feasibility and evaluation. Design of project delivery systems to encourage best value, innovation and private sector participation. Fundamentals of engineering economy and project finance. Elements of life cycle cost estimation and decision analysis. Environmental, institutional, social and political factors. Case studies from transportation, water supply and wastewater treatment.
This course explores issues of memory and trauma, public history and testimony, colonialism and biopolitics, neoliberalism and governmentality, and crisis and kinship, all through the medium of Greek film. It brings the Greek cinema canon (Angelopoulos, Gavras, Cacoyiannis, Koundouros, et al.) into conversation with the work of contemporary artists, documentary filmmakers, and the recent “weird wave” and asks: what kind of lens does film offer onto the study of a society’s history and contemporary predicament? The viewing and discussion of films is facilitated through a consideration of a wide range of materials, including novels, criticism, archival footage, and interviews with directors. The course does not assume any background knowledge and all films will have English subtitles. An additional 1-credit bilingual option (meeting once per week at a time TBD) is offered for students who wish to read, view, and discuss materials in Greek.
Prerequisites: CHEN E3100, E3120, and E3210, or instructor's permission.
Design and analysis of unit operations employed in chemical engineering separations. Fundamental aspects of single and multistaged operations using both equilibrium and rate-based methods. Examples include distillation, absorption and stripping, extraction, membranes, crystallization, bioseparations, and environmental applications.
Prerequisites: Graduate student standing in Civil Engineering and Engineering Mechanics required; preference given to students in Construction Management.
A definitive review and comprehensive introduction of the construction industry best practices and fundamental concepts of environmental health and safety management systems for the Construction Management field. How modern EH&S management system techniques and theories not only result in improved safe work environments but ultimately enhance operational processes and performance in construction projects.
Prerequisites: CSEE 4119 or equivalent
In this course, students will learn how to put "principles into practice," in a hands-on-networking lab course. The course will cover the technologies and proctocols of the internet using equipment currently available to large internet service providers such as CISCO routers and end-systems. A set of laboratory experiments will provide hands-on experience with engineering wide-area networks and will familiarize students with the Internet Protocol (IP), Address Resolution Protocal (ARP), Internet Control Message Protocol (ICMP), User Datagram Protocol (UDP) and Transmission Control Protocol (TCP), the Domain Name System (DNS), routing protocols (RIP, OSPF, BGP), network management protocols (SNMP, and application-level protocols (FTP, TELNET, SMTP).
Introduction to modern tools in functional analysis that are used in the analysis of deterministic and stochastic partial differential equations and in the analysis of numerical methods: metric and normed spaces. Banach space of continuous functions, measurable spaces, the contraction mapping theorem, Banach and Hilbert spaces bounded linear operators on Hilbert spaces and their spectral decomposition, and time permitting distributions and Fourier transforms.
The aesthetic innovations and theoretical explorations of Russian and Soviet film culture constitute one of the richest traditions in world cinema. At the same time, Russian and Soviet cinema provides a unique lens through which to view the tumultuous changes that took place throughout Russia during the twentieth century. We will study a wide variety of Russian films from the pre-revolutionary era; the exciting, world-renowned decade of radical cinematic experimentation in the twenties; the periods of Socialist Realism, WWII, the Thaw, Stagnation, and
Perestroika
; and, finally, we will look at how these various aesthetic and ideological approaches to filmmaking inform the cinema and media practices of the post-Soviet era. Directors include: Lev Kuleshov, Sergei Eisenstein, Abram Room, Dziga Vertov, Vasiliev Brothers, Grigory Alexandrov, Mikhail Kalatozov, Leonid Gaidai, Andrei Tarkovsky, Sergei Parajanov, Mikita Mikhalkov, Aleksei German, Andrei Zviagintsev, and others. We will also consider the vital contributions of Russian and Soviet film theorists to the global discourse of film studies, reading the theoretical works of Eisenstein, Vertov, Kuleshov, Pudovkin, Tarkovsky and others within their historical and cultural contexts. The course will also address innovations and advances in film style that originated in the film culture of non-Russian territories and republics.
Prerequisites: substantial software development experience in Java, C++ or C# beyond the level of
COMS W3157
.
Corequisites: Recommended:
COMS W4111
.
Software lifecycle from the viewpoint of designing and implementing N-tier applications (typically utilizing web browser, web server, application server, database). Major emphasis on quality assurance (code inspection, unit and integration testing, security and stress testing). Centers on a student-designed team project that leverages component services (e.g., transactions, resource pooling, publish/subscribe) for an interactive multi-user application such as a simple game.
Prerequisites: at least 4 college-level biology or biotechnology courses.
This course will introduce students to the interrelated fields of patent law, regulatory law, and contract law that are vital to the biotech and biopharmaceutical sectors. The course will present core concepts in a way that permits students to use them throughout their corporate, academic, and government careers. SCE and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar. http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Prerequisites:
COMS W3134
,
W3136
, or
W3137
;
W4156
is recommended. Strong programming background and some mathematical familiarity including linear algebra is required.
Introduction to computer graphics. Topics include 3D viewing and projections, geometric modeling using spline curves, graphics systems such as OpenGL, lighting and shading, and global illumination. Significant implementation is required: the final project involves writing an interactive 3D video game in OpenGL.
Prerequisites: Introductory chemistry (with laboratory) and fluid mechanics.
Fundamentals of water pollution and wastewater characteristics. Chemistry, microbiology, and reaction kinetics. Design of primary, secondary, and advanced treatment systems. Small community and residential systems.
Prerequisites: multivariable calculus, linear algebra, C++ programming proficiency.
COMS W4156
recommended.
Theory and practice of physics-based animation algorithms, including animated clothing, hair, smoke, water, collisions, impact, and kitchen sinks. Topics covered: Integration of ordinary differential equations, formulation of physical models, treatment of discontinuities including collisions/contact, animation control, constrained Lagrangian Mechanics, friction/dissipation, continuum mechanics, finite elements, rigid bodies, thin shells, discretization of Navier-Stokes equations.
Prerequisites:
COMS W3134
,
W3136
, or
W3137
.
Introduction to the theory and practice of computer user interface design, emphasizing the software design of graphical user interfaces. Topics include basic interaction devices and techniques, human factors, interaction styles, dialogue design, and software infrastructure. Design and programming projects are required.
Prerequisites:
COMS W4118
;
W4180
and/or
W4119
recommended.
Secure programming. Cryptograhic engineering and key handling. Access controls. Tradeoffs in security design. Design for security.
Prerequisites: Senior standing or instructor's permission
Corequisites: N/A
A systems approach for intermittent renewable energy involving the study of resources, generation, demand, storage, transmission, economics and politic. Study of current and emerging photovoltaic technologies, with focus on basic sustainability metrics (e.g., cost, resource availability, and life-cycle environmental impacts). The status and potential of 1st and 2nd generation photovoltaic technologies (e.g., crystalline and amorphous Si, CdTe, CIGS) and emerging 3rd generation ones. Storage options to overcome the intermittency constraint. Large scales of renewable energy technologies and plug-in hybrid electric cars.
Prerequisites: Linear algebra, differential equations, and basic semiconductor physics.
Introduction to modern display systems in an engineering context. The basis for visual perception, image representation, color space, metrics of illumination. Physics of luminescence, propagation and manipulation of light in anisotropic media, emissive displays, and spatial light modulators. Fundamentals of display addressing, the Alt-Pleshko theorem, multiple line addressing. Large area electronics, fabrication, and device integration of commercially important display types. A series of short laboratories will reinforce material from the lectures. Enrollment may be limited.
Techniques of solution of partial differential equations. Separation of the variables. Orthogonality and characteristic functions, nonhomogeneous boundary value problems. Solutions in orthogonal curvilinear coordinate systems. Applications of Fourier integrals, Fourier and Laplace transforms. Problems from the fields of vibrations, heat conduction, electricity, fluid dynamics, and wave propagation are considered.
Prerequisite: APMA E3102 or equivalent; PHYS 1401 or 1601 or equivalent. An introduction to the physical behavior of fluids for science and engineering students. Derivation of basic equations of fluid dynamics: conservation of mass, momentum, and energy. Dimensional analysis. Vorticity. Laminar boundary layers. Potential flow. Effects of compressibility, stratification, and rotation. Waves on a free surface; shallow water equations. Turbulence.
The program aims to provide current life sciences students with an understanding of what drives the regulatory strategies that surround the development decision making process, and how the regulatory professional may best contribute to the goals of product development and approval. To effect this, we will examine operational, strategic, and commercial aspects of the regulatory approval process for new drug, biologic, and biotechnology products both in the United States and worldwide. The topics are designed to provide a chronological review of the requirements needed to obtain marketing approval. Regulatory strategic, operational, and marketing considerations will be addressed throughout the course. We will examine and analyze the regulatory process as a product candidates are advanced from Research and Development, through pre-clinical and clinical testing, to marketing approval, product launch and the post-marketing phase. The goal of this course is to introduce and familiarize students with the terminology, timelines, and actual steps followed by Regulatory Affairs professionals employed in the pharmaceutical or biotechnology industry. Worked examples will be explored to illustrate complex topics and illustrate interpretation of regulations.
A calculus-based introduction to probability theory. A quick review of multivariate calculus is provided. Topics covered include random variables, conditional probability, expectation, independence, Bayes’ rule, important distributions, joint distributions, moment generating functions, central limit theorem, laws of large numbers and Markov’s inequality.
Prerequisite: MATH V1202 or the equivalent. Complex numbers, functions of a complex variable, differentiation and integration in the complex plane. Analytic functions, Cauchy integral theorem and formula, Taylor and Laurent series, poles and residues, branch points, evaluation of contour integrals. Conformal mapping. Schwarz-Christoffel transformation. Applications to physical problems.
Prerequisites: STAT GU4203. At least one semester of calculus is required; two or three semesters are strongly recommended.
Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.
Prerequisites: STAT GU4204 or the equivalent, and a course in linear algebra.
Theory and practice of regression analysis. Simple and multiple regression, testing, estimation, prediction, and confidence procedures, modeling, regression diagnostics and plots, polynomial regression, colinearity and confounding, model selection, geometry of least squares. Extensive use of the computer to analyse data.
Prerequisites: PHYS C1401-3 or equivalent.
A survey course on the electronic and magnetic properties of materials, oriented towards materials for solid state devices. Dielectric and magnetic properties, ferroelectrics and ferromagnets. Conductivity and superconductivity. Electronic band theory of solids: classification of metals, insulators, and semiconductors. Materials in devices: examples from semiconductor lasers, cellular telephones, integrated circuits, and magnetic storage devices. Topics from physics are introduced as necessary.
Prerequisites: Refer to course syllabus.
This course is required for undergraduate students majoring in IE. This course provides a survey of human performance engineering in the design of consumer products, user interfaces and work processes. The goal of the course is to provide the student with the ability to specify human performance variables affecting user performance, safety and satisfaction for a variety of products and task requirements. Topics include task analysis, information processing, anthropometry, control and display design, human computer interaction, usability testing, usability cost/ benefit analysis, forensics, motivation, group dynamics and personnel selection. Course requirements include a research paper and a (group) product redesign project. At the end of the course students will have a deeper understanding of the research and psychological principles underlying human performance capabilities and limitations. The hope is that this course will encourage students to become more of "a user advocate" in their future endeavors.
Prerequisites: Working knowledge of structural analysis and design; graduate student standing or instructor's permission.
Review of significant failures, civil/structural engineering design and construction practices, ethical standards and the legal positions as necessary background to forensic engineering. Discussion of standard-of-care. Study of the process of engineering evaluation of structural defects and failures in construction and in service. Examination of the roles, activities, conduct and ethics of the forensic consultant and expert witness. Students are assigned projects of actual cases of non-performance or failure of steel, concrete, masonry, geotechnical and temporary structures, in order to perform, discuss and report their own investigations under the guidance of the instructor.
Prerequisites: CHEE E3010 or equivalent or instructor's permission.
Origins, quantities generated, and characterization of solid wastes. Chemical and physical phenomena in the combustion or gasification of wastes. Application of thermal conversion technologies, ranging from combustion to gasification and pyrolysis. Quantitative description of the dominant waste to energy processes used worldwide, including feedstock preparation, moving grate and fluid bed combustion, heat transfer from combustion gases to steam, mitigation of high temperature corrosion, electricity generation, district heating, metal recovery, emission control, and beneficial use of ash residues.
Prerequisites: MECE E3301.
Energy sources such as oil, gas, coal, gas hydrates, hydrogen, solar, and wind. Energy conversion systems for electrical power generation, automobiles, propulsion and refrigeration. Engines, steam and gas turbines, wind turbines; devices such as fuel cells, thermoelectric converters, and photovoltaic cells. Specialized topics may include carbon-dioxide sequestration, cogeneration, hybrid vehicles and energy storage devices.
MEMS markets and applications; Scaling laws; Silicon as a mechanical material; Sensors and actuators; micromechanical analysis and design; substrate (bulk) and surface micromachining; computer aided design; packaging; testing and characterization; microfluidics.
Prerequisites:
ECON W3211
,
W3213
,
W3412
and
MATH V2010
.
An introduction to the dynamic models used in the study of modern macroeconomics. Applications of the models will include theoretical issues such as optimal lifetime consumption decisions and policy issues such as inflation targeting. This course is strongly recommended for students considering graduate work in economics.
Frequencies and modes of discrete and continuous elastic systems. Forced vibrations-steady-state and transient motion. Effect of damping. Exact and approximate methods. Applications.
We are used to thinking of history in national terms, or at least in reference to major civilizations (“Western civilization,” “Near Eastern civilization,” etc.). In “real life,” however, interactions among people, linguistic communities, and cultures frequently cut across political divisions. Water – rivers, streams, seas – is often an invitation to settlement, commerce, and conquest. This course offers a look (inspired in part by Fernand Braudel's
Mediterranean
) at a body of water – the Black Sea – and the lands around it, in sweeping historical perspective. Focus is on those moments when the various civilizations and empires that originated and flourished around the Black Sea met and intersected in friendship or in enmity. We will look at ancient civilizations, Greek colonization, Byzantine-Slav interactions, the period of Ottoman dominance, Russian-Turkish rivalry, and decolonization and wars in the 19th and 20th centuries. We hope that we will be able to pay particular attention to questions of ecology, language, religion, and cultural interaction throughout.
Narrative medicine - its practice and scholarship - is necessarily concerned with issues of trauma, body, memory, voice, and intersubjectivity. However, to grapple with these issues, we must locate them in their social, cultural, political, and historical contexts. Narrative understanding helps unpack the complex power relations between North and South, state and worker, disabled body and able-body, bread-earner and child-bearer, as well as self and the Other (or, even, selves and others). If disease, violence, terror, war, poverty and oppression manifest themselves narratively, then resistance, justice, healing, activism, and collectivity can equally be products of a narrative based approach to ourselves and the world.
Prerequisites:
COMS W3134
,
W3136
, or
W3137
, and
W3203
.
Introduction to the design and analysis of efficient algorithms. Topics include models of computation, efficient sorting and searching, algorithms for algebraic problems, graph algorithms, dynamic programming, probabilistic methods, approximation algorithms, and NP-completeness.
Prerequisites: CIEN E3125 or the equivalent.
Design of concrete slabs, deep beams, walls, and other plane structures; introduction to design of prestressed concrete structures.
Prerequisites: CIEN E3121 or the equivalent, and CIEN E3127 or the equivalent.
Design of large scale and complex bridges with emphasis on cable-supported structures. Static and dynamic loads, componet design of towers, superstructures & cables; conceptual design of major bridge types including arches, cable stayed bridges and suspension bridges.
Prerequisites: CIEN E3125 or CIEN E4232, or instructor's permission.
Fundamental considerations of wave mechanics; design philosophies; reliability and risk concepts; basics of fluid mechanics; design of structures subjected to blast; elements of seismic design; elements of fire design; flood considerations; advanced analysis in support of structural design.
This course is designed to give an overview of the politics and history of the five Central Asian states, including Kazakstan, Kyrgyzstan, Uzbekistan, Turkmenistan, and Tajikistan starting from Russian imperial expansion to the present. We will examine the imperial tsarist and Soviet legacies that have profoundly reshaped the regional societies’ and governments’ practices and policies of Islam, gender, nation-state building, democratization, and economic development.
Field(s): ME/EA
Prerequisites:
COMS W3261
.
Develops a quantitative theory of the computational difficulty of problems in terms of the resources (eg. time, space) needed to solve them. Classification of problems into complexity classes, reductions, and completeness. Power and limitations of different modes of computation such as nondeterminism, randomization, interaction, and parallelism.
This seminar introduces students to classic works on race, social science, and public policy. The course will explore how social scientists have defined and constructed the conditions of black communities and how those definitions and constructions have varied and influenced policy debates over time. Students are required to write an original research paper on a policy area that examines the tensions between individual and structural explanations for the persistence of racial inequality.
Prerequisites: CIEN E3141 or the instructor's permission.
Bearing capacity and settlement of shallow and deep foundations; earth pressure theories; retaining walls and reinforced soil retaining walls; sheet pile walls; braced excavation; slope stability.
Prerequisites: STAT GU4206.
The course will provide an introduction to Machine Learning and its core models and algorithms. The aim of the course is to provide students of statistics with detailed knowledge of how Machine Learning methods work and how statistical models can be brought to bear in computer systems - not only to analyze large data sets, but to let computers perform tasks that traditional methods of computer science are unable to address. Examples range from speech recognition and text analysis through bioinformatics and medical diagnosis. This course provides a first introduction to the statistical methods and mathematical concepts which make such technologies possible.
Prerequisites: CIEN E3141 or the equivalent.
Conventional types of foundations and foundation problems: subsurface exploration and testing. Performance of shallow and deep foundations and evaluation by field measurements. Case histories to illustrate typical design and construction problems. To alternate with CIEN E4246.
Prerequisites: STAT GU4206 or the equivalent.
This course will incorporate knowledge and skills covered in a statistical curriculum with topics and projects in data science. Programming will covered using existing tools in R. Computing best practices will be taught using test-driven development, version control, and collaboration. Students finish the class with a portfolio on GitHub, and deeper understanding of several core statistical/machine-learning algorithms. Bi-weekly project cycles throughout the semester provide students extensive hands-on experience with various data-driven applications.
This course covers the engineering design and construction of different types of tunnel, including cut and cover tunnel, rock tunnel, soft ground tunnel, immersed tub tunnel, and jacked tunnel. The design for the liner, excavation, and instrumentation are also covered. A field trip will be arranged to visit the tunneling site.
Prerequisites: basic knowledge in programming (e.g., at the level of
COMS W1007
), a basic grounding in calculus and linear algebra.
Methods for organizing data, e.g. hashing, trees, queues, lists,priority queues. Streaming algorithms for computing statistics on the data. Sorting and searching. Basic graph models and algorithms for searching, shortest paths, and matching. Dynamic programming. Linear and convex programming. Floating point arithmetic, stability of numerical algorithms, Eigenvalues, singular values, PCA, gradient descent, stochastic gradient descent, and block coordinate descent. Conjugate gradient, Newton and quasi-Newton methods. Large scale applications from signal processing, collaborative filtering, recommendations systems, etc.
Prerequisites: CIEN E3141.
This course builds upon the teachings of soil mechanics and introduction to foundation courses by focusing on deep foundations in difficult conditions. The course introduces practical considerations and constraints of designing foundations. The course will cover the design process from the start of field investigations through construction and the application of deep foundations by analyzing two real world class projects.
Prerequisites: elementary physical chemistry.
Thermodynamics of surfaces, properties of surfactant solutions and surface films,electrostatic and electrokinetic phenomena at interfaces, adsorption; interfacial mass transfer and modern experimental techniques.
Prerequisites: CHEM C1403, or the equivalent; ENME E3161 or the equivalent.
Engineering aspects of problems involving human interaction with the natural environment. Review of fundamental principles that underlie the discipline of environmental engineering, i.e., constituent transport and transformation processes in environmental media such as water, air, and ecosystems. Engineering applications for addressing environmental problems such as water quality and treatment, air pollution emissions, and hazardous waste remediation. Presented in the context of current issues facing the practicing engineers and government agencies, including legal and regulatory framework, environmental impact assessments, and natural resource management.
This course deals with the proteome: the expressed protein complement of a cell, matrix, tissue, organ or organism. The study of the proteome (proteomics) is broadly applicable to life sciences research, and is increasing important in academic, government and industrial research through extension of the impact of advances in genomics. These techniques are being applied to basic research, exploratory studies of cancer and other diseases, drug discovery and many other topics. Techniques of protein extraction, two-dimensional gel electrophoresis and mass spectrometry will be covered. Emphasis will be on mastery of practical techniques of MALDI-TOF mass spectrometry and database searching for identification of proteins separated by gel electrophoresis as well as background tutorials and exercises covering other techniques used in descriptive and comparative proteomics. Open to students in M.A. in Biotechnology Program (points can be counted against laboratory requirement for that program), Ph.D. and advanced undergraduate students with background in genetics or molecular biology. Students should be comfortable with basic biotechnology laboratory techniques as well as being interested in doing computational work in a Windows environment.
Prerequisites: Senior undergraduate or graduate student standing and the instructor's permission.
Conjoint studio run with the Graduate School of Architecture, Planning and Preservation (GSAPP) that explores solutions to problems of urban density. Engineering and GSAPP students will engage in a joint project that address habitability and sustainability issues in an urban environment, and also provides community service. Emphasis will be on the integration of science, engineering and design within a social context. Interdisciplinary approaches and communication will be stressed.
Prerequisites: comfort with basic discrete math and probability. Recommended:
COMS W3261
or
CSOR W4231
.
An introduction to modern cryptography, focusing on the complexity-theoretic foundations of secure computation and communication in adversarial environments; a rigorous approach, based on precise definitions and provably secure protocols. Topics include private and public key encryption schemes, digital signatures, authentication, pseudorandom generators and functions, one-way functions, trapdoor functions, number theory and computational hardness, identification and zero knowledge protocols.
This class focuses on the history of the Soviet Union and Russia between the death of Stalin/the end of totalitarianism and the present. It spans the turning-point date of 1991 when the Soviet Union abolished itself and was replaced by successor states, the most important of which is Russia. Not ending Soviet history with 1991 and not beginning Russian history with it either, we will seek to understand continuities as well as change. We will also draw on a diverse set of texts (and movies), including history, political science, journalism, fiction, and memoirs, feature and documentary movies. Geographically weighted toward Russia (and not the other also important successor states), in terms of content, this class concentrates on politics and society, including, crucially, the economy. These concepts, however, will be understood broadly. To come to grips with key issues in Soviet and Russian history in the historically short period after Stalinist totalitarianism, we will have to pay close attention to not only our analytical categories, but also to the way in which the political and the social have been understood by Soviet and Russian contemporaries. The class will introduce students to crucial questions of Russia's recent past, present, and future: authoritarianism and democratization, the role of the state and that of society, reform and retrenchment, communism and capitalism, and, last but not least, the nature of authority and legitimacy.
This seminar introduces students to the impact of the military and war on Russia’s politics, culture, and society, beginning with the “military revolution” of the 15th-17th century and ending with Russia’s role in the two world wars. The course is organized chronologically to cover the major European and world-wide conflicts in which Russia and the early Soviet Union participated, as well as the “small” wars of imperial conquest. Throughout the course, we will focus on the connections between Russia’s geopolitical situation, technological changes, and the impact of wars and of the military on Russian daily life and on the mentalities and culture of ordinary Russians. All of these events and issues are crucial for understanding today’s Russia. This course will rely on a wealth of exciting new scholarship, as well as several carefully chosen primary sources, including fiction and film.
Introduction to fundamental algorithms and analysis of numerical methods commonly used by scientists, mathematicians and engineers. Designed to give a fundamental understanding of the building blocks of scientific computing that will be used in more advanced courses in scientific computing and numerical methods for PDEs (e.g. APMA E4301, E4302). Topics include numerical solutions of algebraic systems, linear least-squares, eigenvalue problems, solution of non-linear systems, optimization, interpolation, numerical integration and differentiation, initial value problems and boundary value problems for systems of ODE's. All programming exercises will be in Python.
Prerequisites: APPH E3300.
Overview of properties and interactions of static electric and magnetic fields. Study of phenomena of time dependent electric and magnetic fields including induction, waves, and radiation as well as special relativity. Applications are emphasized.
Prerequisites: four semesters of biology with a firm foundation in molecular and cellular biology.
Introduces students to the current understanding of human diseases, novel therapeutic approaches and drug development process. Selected topics will be covered in order to give students a feeling of the field of biotechnology in health science. This course also aims to strengthen students’ skills in literature comprehension and critical thinking. Website: http://www.columbia.edu/cu/biology/courses/w4300/
Prerequisites: Material and energy balances.
Ordinary differential equations including Laplace transforms. Reactor Design. An introduction to process control applied to chemical engineering through lecture and laboratory. Concepts include the dynamic behavior of chemical engineering systems, feedback control, controller tuning, and process stability.
A one-semester survey of seventeenth-century French literature, with an emphasis on the relationship between literature and the major cultural, philosophical, and religious developments of the period.
Introduction to the key concepts and issues in computational science aimed at getting students to a basic level of understanding where they can run simulations on machines aimed at a range of applications and sizes from a single workstation to modern super-computer hardware. Topics include but are not limited to basic knowledge of UNIX shells, version control systems, reproducibility, Open MP, MPI, and many-core technologies. Applications will be used throughout to demonstrate the various use cases and pitfalls of using the latest computing hardware.
Prerequisites: Undergraduate level math and science or instructor's permission.
Major technologies to store carbon dioxide, geological, ocean, and in the carbon chemical pool. Carbon dioxide transport technologies also covered. In addition to basic science and engineering challenges of each technology, full spectrum of economic, environmental, regulatory, and political/policy aspects, and their implication for regional and global carbon management strategies of the future. Combination of lectures, class debates and breakout groups, student presentations, and independent final projects.
This course will introduce you to the basics of theory, design, selection and applications of turbomachinery. Turbomachines are widely used in many engineering applications such as energy conversion, power plants, air-conditioning, pumping, refrigeration and vehicle engines, as there are pumps, blowers, compressors, gas turbines, jet engines, wind turbines etc. Applications are drawn from energy conversion technologies, HVAC and propulsion. The course will provide you with a basic understanding of the different kinds of turbomachines.