Prerequisites: Any programming language and linear algebra.
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.
Prerequisites: Probability and Statistics at the level of SIEO W3600 or SIEO W4150, and a basic course on Linear Algebra at the level of MATH V2010 or APMA E3101.
This graduate course is only for MS Program in FE students only.
This course introduces the methodology of modeling financial decisions as constrained optimization problems and then selecting appropriate optimization methods to solve these problems. We will specifically discuss linear programming, quadratic and general nonlinear programming, dynamic and stochastic programming. We will also discuss some discrete optimization techniques. The main theoretical features of these optimization methods will be discussed. However, the emphasis will be on modeling financial decision problems and the choice of appropriate optimization methods.
Prerequisites:
GREK V1201
and
V1202
, or their equivalent.
Since the content of the course changes from year to year, it may be taken in consecutive years.
The external history and internal development of the Italian language from its origins to the present.
Prerequisites: MATH V1202 and V2030 and PHYS C1403 or their equivalents.
This introductory course is for individuals with an interest in medical physics and other branches of radiation science. Topics covered include: basic concepts, nuclear models, semi-empirical mass formula, interaction of radiation with matter, nuclear detectors, nuclear structure and instability, radioactive decay process and radiation, particle accelerators, and fission and fusion processes and technologies.
Prerequisites: CHEN E3120 and E4230, or equivalent, or instructor's permission.
Mathematical description of chemical engineering problems and the application of selected methods for their solution. General modeling principles, including model hierarchies. Linear and nonlinear ordinary differential equations and their systems, including those with variable coefficients. Partial differential equations in Cartesian and curvilinear coordinates for the solution of chemical engineering problems.
This introductory course surveys fundamental Microsoft Excel concepts and functionality applicable to SIPA courses and in professional settings. Topics include understanding references and functions, writing formulas, interacting with spreadsheets, building basic models, controlling formatting and presentation and creating basic charts. The course is targeted at students with limited or no prior Excel experience. The course is open to SIPA students only. Note: A laptop is required for the two-day accelerated section of this course
Prerequisites: No prerequisites. Department approval NOT needed.
Corequisites: This course is open to undergraduate & graduate students. Knowledge of another language is not required.
Chances are you know something about the Brothers Grimm, but not so much, perhaps, about the complex storytelling traditions to which the stories collected belonged. This seminar will explore the European fairy tale in all its glorious history, including works written or collected by Charles Perrault, Jean de La Fontaine, Marie de Beaumont, Marie-Catherine d'Aulnoy (who first coined the term "conte de fée" or "fairy tale"), Jacob and Wilhelm Grimm, Alexander Afanasyev, Hans Christian Andersen, Oscar Wilde and George MacDonald. Throughout the semester, we'll be talking about issues of translation in these tales and comparing them to the fairy-tale-inspired writing of our own age, including work by Angela Carter, Robert Coover, Donald Barthelme, Kelly Link, Lyudmila Petrushevskaya, Yoko Tawada, George Saunders and others. Analytical, translational and fantastical assignments. No foreign language skills required. Three papers.
A close reading of works by Dostoevsky (Netochka Nezvanova; The Idiot; "A Gentle Creature") and Tolstoy (Childhood, Boyhood, Youth; "Family Happiness"; Anna Karenina; "The Kreutzer Sonata") in conjunction with related English novels (Bronte's Jane Eyre, Eliot's Middlemarch, Woolf's Mrs. Dalloway). No knowledge of Russian is required.
This one-day seminar, conducted by reputable training firm Training the Street, explores best practices and highly practical techniques employed in building finance-related spreadsheets. Best suited for students with exposure to basic accounting and corporate finance concepts, the course stresses efficiency in using Excel and awareness of common pitfalls when developing financial models. Topics include using keyboard shortcuts, applying meaningful and consistent formatting, structuring cash flow and other business problems, handling errors and controlling calculations. Part of the Excel at SIPA course series. Course fee: $30
Prerequisites: No prerequisites. Department approval NOT required.
The figure of the diva -- the celebrated, iconic, and supremely skilled female performer -- is often characterized by her disciplined voice, singular style, and transgressive approach to the boundaries of convention. Like the diva, the writer values voice, style, disciplined practice, and the display of virtuosity. This seminar focuses on how American writers across a range of genres -- poetry, lyric essay, memoir, drama, biography, critical theory -- have turned to the diva as not simply the source of inspiration for their subject matter, but as a method for crafting their own signature voice or style and as a model for crossing the conventional boundaries of genre. How has diva writing shaped and redrawn the formal contours of the lyric essay, sonnet, ode, elegy, autobiography, or theoretical discourses about race, gender, and sexuality? What can the writing and performances by and about divas (and diva worship) teach us about our approaches to voice, style, genre, and form in our own writing practices?
Prerequisites: One semester of undergraduate statistics
The data analysis course covers specific statistical tools used in social science research using the statistical program R. Topics to be covered include statistical data structures, and basic descriptives, regression models, multiple regression analysis, interactions, polynomials, Gauss-Markov assumptions and asymptotics, heteroskedasticity and diagnostics, models for binary outcomes, naive Bayes classifiers, models for ordered data, models for nominal data, first difference analysis, factor analysis, and a review of models that build upon OLS. Prerequisite: introductory statistics course that includes linear regression. There is a statistical computer lab session with this course: QMSS G4017 -001 -DATA ANALYSIS FOR SOC SCI
This is a lab section for QMSS G4015 Data Analysis.
This is a lab section for QMSS G4015 Data Analysis.
Prerequisites: ELEN E3801 or BIOL W3004.
The biophysics of computation: modeling biological neurons, the Hodgkin-Huxley neuron, modeling channel conductances and synapses as memristive systems, bursting neurons and central pattern generators, I/O equivalence and spiking neuron models. Information representation and neural encoding: stimulus representation with time encoding machines, the geometry of time encoding, encoding with neural circuits with feedback, population time encoding machines. Dendritic computation: elements of spike processing and neural computation, synaptic plasticity and learning algorithms, unsupervised learning and spike time-dependent plasticity, basic dendritic integration. Projects in Matlab.
Prerequisites:
ECON W3211
,
W3213
and
STAT 1201
.
Topics include behavior uncertainty, expected utility hypothesis, insurance, portfolio choice, principle agent problems, screening and signaling, and information theories of financial intermediation.
Prerequisites: CIEN E3121 or the equivalent.
Overview of classical indeterminate structural analysis methods (force and displacement methods), approximate methods of analysis, plastic analysis methods, collapse analysis, shakedown theorem, structural optimization.
Prerequisites: Instructor's permission
(Lecture). Our encounter with the modern print text is a relatively impoverished event, compared to the multi-layered sensory experience of the medieval book. Medieval manuscripts display individualized hands, rubrication and marginalia, decoration and illustration, sometimes indications for performance (like musical notation). They negotiate between sight and sound; as Chaucer tells his
listeners
, paradoxically, if they don't want to hear the Miller's Tale they can turn the
page
. Manuscripts even smell and feel distinctive, depending on the source and preparation of their parchment, or the material of their bindings. In this course, we will attempt to re-conceive and re-embed some literary (and other) "texts" of the Middle Ages, most of them editorially created in the 19th and 20th centuries, within their original sites in the physical culture of the past: that is, in manuscripts and early printed editions, and in the settings of cultural creation and consumption those codices intimately reflect. Studying individual manuscripts in New York collections (especially Columbia University), in facsimile, and on-line, our investigations will move in two main directions. First, we will learn about some of the major arenas of book production across the high and later Middle Ages-the kind of manuscripts through which most people, most often, encountered the written word. These will include books of private devotion (and often public ostentation) such as Psalters and Books of Hours; classroom anthologies and related collections; annals and chronicles; herbals and bestiaries; romances and lives of saints. Most of these use the two dominant languages of high medieval textual culture in England: Latin and French. Among them will be the "Aberdeen Bestiary" and the Anglo-Norman
History of St. Edward the King
by Matthew Paris, or possibly Matthew's
Life of St. Alban
and its manuscript, Trinity College Dublin 177. All these materials will be available in translation. Second, those dominant modes of book culture will provide contexts for investigating manuscripts of what has become the canon of Middle English. For instance, we will study one or more Langland manuscripts, in part via the Electronic Archive of Piers Plowman. We will look at the large and beautifully decorated Ellesmere manuscript of Chaucer, yet look too at Chaucer manuscripts that lay different, more modest claims on his text. Depending on the enrollment and interests of the seminar, we can
Prerequisites:
BIOL C2005
-
C2006
or equivalent.
Come discover how the union of egg and sperm triggers the complex cellular interactions that specify the diverse variety of cells present in multicellular organisms. Cellular and molecular aspects of sex determination, gametogenesis, genomic imprinting, X-chromosome inactivation, telomerase as the biological clock, stem cells, cloning, the pill and cell interactions will be explored, with an emphasis on humans. Original research articles will be discussed to further examine current research in developmental biology. 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: ELEN E3801
Topics include: basic cell biophysics, active conductance and the Hodgkin-Huxley model, simple neuron models, ion channel models and synaptic models, statistical models of spike generation, Wilson-Cowan model of cortex, large-scale electrophysiological recording methods, sensorimotor integration and optimal state estimation, operant conditioning of neural activity, nonlinear modeling of neural systems, sensory systems: visual pathway and somatosensory pathway, neural encoding model: spike triggered average (STA) and spike triggered covariance (STC) analysis, neuronal response to electrical micro-stimulation, DBS for Parkinson's disease treatment, motor neural prostheses, and sensory neural prostheses.
Prerequisites: genetics or molecular biology.
The course covers techniques currently used to explore and manipulate gene function and their applications in medicine and the environment. Part I covers key laboratory manipulations, including DNA cloning, gene characterization, association of genes with disease, and methods for studying gene regulation and activities of gene products. Part II also covers commercial applications, and includes animal cell culture, production of recombinant proteins, novel diagnostics, high throughput screening, and environmental biosensors.
A survey of the Czech, German, and German-Jewish literary cultures of Prague from 1910 to 1920. Special attention to Hašek, ÄŒapek, Kafka, Werfel, and Rilke. Parallel reading lists available in English and in the original.
Introduction to third world studies; an introduction to the methods and theories that inform the field of third world studies (aka ethnic studies), including imperialism, colonialism, third world liberation movements, subjectivities, and racial and social formation theories;
Prerequisites: BMEB W4020 or BMEE E4030 or ECBM E4090 or EECS E4750 or COMS W4771 or an equivalent.
Developing features & internal representations of the world, artificial neural networks, classifying handwritten digits with logistics regression, feedforward deep networks, back propagation in multilayer perceptrons, regularization of deep or distributed models, optimization for training deep models, convolutional neural networks, recurrent and recursive neural networks, deep learning in speech and object recognition.
Prerequisites: one year of biology, normally
BIOL C2005-C2006
, or the equivalent.
Cell Biology 3041/4041 is an upper-division course that covers in depth all organelles of cells, how they make up tissues, secrete substances important for the organism, generate and adapt to their working environment in the body, move throughout development, and signal to each other. Because these topics were introduced in the Intro Course (taught by Mowshowitz and Chasin), this course or its equivalent is a pre-requisite for W3041/4041. Students for whom this course is useful include biology, biochem or biomedical engineering majors, those preparing to apply for medical school or graduate school, and those doing or planning to start doing research in a biology or biomedical lab. 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:
MATH W4041-MATH W4042
or the equivalent.
Algebraic number fields, unique factorization of ideals in the ring of algebraic integers in the field into prime ideals. Dirichlet unit theorem, finiteness of the class number, ramification. If time permits, p-adic numbers and Dedekind zeta function.
(Lecture). The term "new wave" was coined by a journalist to refer to an "outburst" of filmmaking that took place in France beginning in 1959. Although never a movement, and shortlived in terms of whatever aesthetic uniformity it may have had, its effects spread out across various European cinemas and it became the emblem for various American filmmakers well into the 1970s. The class will analyze a (somewhat random) series of such cineastes in an attempt to understand what now perhaps appears, from the current perspective, as one of the last gasps of high cultural production coming up against the reality of corporate necessity. Filmmakers will include Roberto Rossellini, Jean-Luc Godard, Chirs Marker, Louis Malle, Agnès Varda, Alain Resnais, Wim Wenders, Bernardo Bertolucci, Robert Altman, John Cassavetes, Stanley Kubrick, Terrence Malick.
This course maps the origins of the Italian lyric, starting in Sicily and following its development in Tuscany, in the poets of the dolce stil nuovo and ultimately, Dante. Lectures in English; text in Italian, although comparative literature students who can follow with the help of translations are welcome.
Intensive study of a philosophical issue or topic, or of a philosopher, group of philosophers, or philosophical school or movement. Open only to Barnard senior philosophy majors.
A substantial paper, developing from an Autumn workshop and continuing in the Spring under the direction of an individual advisor. Open only to Barnard senior philosophy majors.
This course is a critical examination of the major texts in aesthetics including Dewey, Collingwood, Croce, Wittgenstein, Heidegger, Adorno, Benjamin, Merleau-Ponty, Sartre, Wollheim, Goodman, Cavell, and Danto. Aesthetics: Modern Survey I is not a pre-requiste, but preference is given to those students who have taken it.
The class is roughly divided into three parts: 1) programming best practices and exploratory data analysis (EDA); 2) supervised learning including regression and classification methods and 3) unsupervised learning and clustering methods. In the first part of the course we will focus writing R programs in the context of simulations, data wrangling, and EDA. Supervised learning deals with prediction problems where the outcome variable is known such as predicting a price of a house in a certain neighborhood or an outcome of a congressional race. The section on unsupervised learning is focused on problems where the outcome variable is not known and the goal of the analysis is to find hidden structure in data such as different market segments from buying patterns or human population structure from genetics data.
Introduction to the information system paradigm of molecular biology. Representation, organization, structure, function, and manipulation of the biomolecular sequences of nucleic acids and proteins. The role of enzymes and gene regulatory elements in natural biological functions as well as in biotechnology and genetic engineering. Recombination and other macromolecular processes viewed as mathematical operations with simulation and visualization using simple computer programming. This course shares lectures with
ECBM E3060
, but the work requirements differ somewhat.
The Proseminar fulfills two separate goals within the Free-Standing Masters Program in Sociology. The first is to provide exposure, training, and support specific to the needs of Masters students preparing to move on to further graduate training or the job market. The second goal is to provide a forum for scholars and others working in qualitative reserach, public sociology, and the urban environment.
Prerequisites: two semesters of a rigorous, molecularly-oriented introductory biology course (such as
C2005
and
C2006
), or the instructor's permission.
This course will cover the basic concepts underlying the mechanisms of innate and adaptive immunity, as well as key experimental methods currently used in the field. To keep it real, the course will include clinical correlates in such areas as infectious diseases, autoimmune diseases, cancer, and transplantation. Taking this course won't turn you into an immunologist, but it may make you want to become one, as was the case for several students last year. After taking the course, you should be able to read the literature intelligently in this rapidly advancing field.
While focusing on the Decameron, this course follows the arc of Boccaccio's career from the Ninfale Fiesolano, through the Decameron, and concluding with the Corbaccio, using the treatment of women as the connective thread. The Decameron is read in the light of its cultural density and contextualized in terms of its antecedents, both classical and vernacular, and of its intertexts, especially Dante's Commedia, with particular attention to Boccaccio's masterful exploitation of narrative as a means for undercutting all absolute certainty. Lectures in English; text in Italian, although comparative literature students who can follow with the help of translations are welcome.
Please refer to Institute for Research in African American Studies for section-by-section course descriptions.
Please refer to Institute for Research in African American Studies for section-by-section course descriptions.
Please refer to Institute for Research in African American Studies for section-by-section course descriptions.
Prerequisites: ELEN E3801.
Hands on experience with basic neural interface technologies. Recording EEG (electroencephalogram) signals using data acquisition systems (non-invasive, scalp recordings). Real-time analysis and monitoring of brain responses. Analysis of intention and perception of external visual and audio signals.
Corequisites: APMA E3102
Basic theory of quantum mechanics, well and barrier problems, the harmonic oscillator, angular momentum identical particles, quantum statistics, perturbation theory and applications to the quantum physics of atoms, molecules, and solids.
An interschool course with Columbia Business School that trains engineering and business students to identify and pursue innovation opportunities that rely on intellectual property coming out of academic research. Idea generation, market research, product development, and financing. Teams develop and present business model for a technological invention. This course has limited enrollment by application, and is open to advanced undergraduate students and graduate students. Consult with department for questions on fulfillment of technical elective requirement.
Prerequisites: CHEM C1403, PHYS C1403, APMA E2101, or equivalent.
A first course on crystallography. Crystal symmetry, Bravais lattices, point groups, space groups. Diffraction and diffracted intensitites. Exposition of typical crystal structures in engineering materials, including metals, ceramics, and semiconductors. Crystalline anisotropy.
Prerequisites: APMA E2101 (or MATH E1210) and APMA E3101.
An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Therem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.
Prerequisites: Must be registered in the Management Science and Engineering (MSE) MS Program
This course is about making sense of data and uncertainty. We will learn how to understand data, visualize data, come up with sound statistical models of data, and reason probabilistically about these models. The mathematical content will be at a level that is comparable to SIEO 4150, but the approach will be more hands-on, and the topics will be illustrated through interesting paradoxes and numerous business examples. (The course was formerly IEOR E4575)
Prerequisites: two years of college Polish or the instructor's permission.
Extensive readings from 19th- and 20th-century texts in the original. Both fiction and nonfiction, with emphasis depending on the interests and needs of individual students.
Prerequisites: MSAE E3011 or equivalent or instructor’s permission.
A course on synthesis and processing of engineering materials. Established and novel methods to produce all types of materials (including metals, semiconductors, ceramics, polymers, and composites). Fundamental and applied topics relevant to optimizing the microstructure of the materials with desired properties. Synthesis and processing of bulk, thin-film, and nano materials for various mechanical and electronic applications.
(Lecture). This lecture course examines sixteenth-century English literature in the light of the new religious, social and political challenges of the period. Texts, primarily poetry and prose, include lyric poetry by Thomas Wyatt, Henry Howard, earl of surrey, and John Donne; sonnet sequences by Philip Sidney and William Shakespeare; early narrative works by George Gascoigne and Thomas Nashe; works of Early English literary criticism; travel writings by Walter Ralegh and Thomas Harriot; as wellas longer texts including More's
Utopia
and Spenser's
Faerie Queene
.
Prerequisites: at least two terms of Greek at the 3000-level or higher.
Readings in Greek literature from Homer to the 4th century B.C.
Prerequisites:
KORN W4006
or the equivalent.
Selections from advanced modern Korean writings in social sciences, literature, culture, history, journalistic texts, and intensive conversation exercises.
In their research, scholars of religion employ a variety of methods to analyze "texts" ranging from historical documents to objects of visual culture. This course acquaints students with both the methods and the materials utilized in the field of religious studies. Through guided exercises, they acquire research skills for utilizing sources and become familiarized with dominant modes of scholarly discourse. The class is organized around a series of research "scavenger hunts" that are due at the start of each week's class and assigned during the discussion section (to be scheduled on the first day of class). There will be an additional class meeting on Thursdays.