Far from obvious renderings of place, maps are spatial arguments about who belongs where and how living should be defined. This course approaches place as something that is contested daily in the U.S. through the struggle of who gets to lay claim to a way of life. From the landscapes of dispossession to the alternative ways marginalized people work with and against traditional geographies, this course centers Black place-making practices as political struggle. This class will look at how power and domination become a landed project. We will critically examine how ideas about “nature” are bound up with notions of race, and the way “race” naturalizes the proper place for humans and non-human others. We will interrogate settler colonialism’s relationships to mapping who is and isn’t human, the transatlantic slave trade as a project of terraforming environments for capital, and land use as a science for determining who “owns” the earth. Centered on Black feminist, queer and trans thinkers, we will encounter space not as a something given by maps, but as a struggle over definitions of the human, geography, sovereignty, and alternative worlds. To this end, we will read from a variety of disciplines, such as Critical Black Studies, Feminist and Intersectional Science Studies, Black Geographies and Ecologies, Urban Studies and Afrofuturist literature. (Note: this class will count as an elective for the CCIS minors/concentrations in F/ISTS, ICORE/MORE, and Environmental Humanities.)
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.
Surveys tools available in Python for getting (web scraping and APIs) and visualizing data (charts and maps). Introduction to analytics through machine learning (ML algorithms, model evaluation, text analytics, network algorithms, deep learning).
Through reading articles and essays by Arab thinkers and intellectuals, students will be able to increase their fluency and accuracy in Arabic while working on reading text and being exposed to the main themes in Arab thought The course works with all four skills (listening, speaking, reading, and writing). Arabic is the language of instruction. No P/D/F or R credit is allowed for this class.
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.
The Cold War epoch saw broad transformations in science, technology, and politics. At their nexus a new knowledge was proclaimed, cybernetics, a putative universal science of communication and control. It has disappeared so completely that most have forgotten that it ever existed. Its failure seems complete and final. Yet in another sense, cybernetics was so powerful and successful that the concepts, habits, and institutions born with it have become intrinsic parts of our world and how we make sense of it. Key cybernetic concepts of information, system, and feedback are now fundamental to our basic ways of understanding the mind, brain and computer, of grasping the economy and ecology, and finally of imagining the nature of human life itself. This course will trace the echoes of the cybernetic explosion from the wake of World War II to the onset of Silicon Valley euphoria.
Introduction to lab-on-a-chip and microrobotic devices with a focus on biomedical applications. Microfabrication techniques. Basics of micro- and nanoscale transport phenomena. Microsensors and microactuators. Microfluidic devices. Lab-on-a-chip systems. Microrobots.
Static flexural response of thin, elastic, rectangular, and circular plates. Exact (series) and approximate (Ritz) solutions. Circular cylindrical shells. Axisymmetric and non-axisymmetric membrane theory. Shells of arbitrary shape.
Frequencies and modes of discrete and continuous elastic systems. Forced vibrations-steady-state and transient motion. Effect of damping. Exact and approximate methods. Applications.
This class takes a social movement perspective to analyze and understand the international human rights movement. The course will address the evolution of the international human rights movement and focus on the NGOs that drive the movement on the international, regional and domestic levels. Sessions will highlight the experiences of major human rights NGOs and will address topics including strategy development, institutional representation, research methodologies, partnerships, networks, venues of engagement, campaigning, fundraising and, perhaps most importantly, the fraught and complex debates about adaptation to changing global circumstances, starting with the pre-Cold War period and including some of the most up-to-date issues and questions going on in this field today.
Review of states of stress and strain and their relations in elastic, plastic, and viscous materials. Dislocation and elastic-plastic concepts introduced to explain work hardening, various materials-strengthening mechanisms, ductility, and toughness. Macroscopic and microstructural aspects of brittle and ductile fracture mechanics, creep and fatigue phenomena. Case studies used throughout, including flow and fracture of structural alloys, polymers, hybrid materials, composite materials, ceramics, and electronic materials devices. Materials reliability and fracture prevention emphasized.
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.
Prerequisites: (MDES UN2201) and (MDES UN2202) $10 Arabic Materials Fee; $15 Language Resource Fee. This is an introductory course to Levantine Arabic for students who have completed two years of Standard Arabic studies, at the Intermediate level. The course is designed to further develop fluency in oral communication, through building students’ familiarity with a less formal register of Arabic, namely the Levantine dialect. The course will convert and recycle some of the previous Standard Arabic knowledge to the dialect, by comparing their prior knowledge to its dialectal counterpart; while at the same time developing students’ new communicative skills in a diverse range of contexts that are essential in any conversational interaction. The course will build students abilities to interact effectively in various areas where Levantine Arabic is spoken. In addition to varied thematic topics, the course exposes students to cultural aspects specific to the region. Additionally, the course will work on both constructing students’ knowledge of dialectal diction as well as other grammatical features of the dialects. Even though the course is designed for communication in the four skills (reading, writing, listening and speaking), the emphasis will be mostly on speaking and listening. No P/D/F or R credit is allowed for this class.
Fundamental of power system economics over which the current electricity markets are designed. Formulation of unit commitment and economic dispatch as mathematical optimization. Modeling of thermal generators, renewable generators, energy storage, and other grid resources in power system optimization. Introduction of equilibriums in electricity markets. Introduction of ancillary service markets. Overview of current energy system research topics.
Prerequisites: elementary physical chemistry. Basic quantum mechanics: the Schrodinger equation and its interpretation, exact solutions in simple cases, methods or approximations including time-independent and time-dependent perturbation theory, spin and orbital angular momentum, spin-spin interactions, and an introduction to atomic and molecular structure.
This is not a class in Theology. It is a class dealing with the
Qur’an
as a text and its linguistic and cultural significance. The readings will cover various
Suwar
(chapters) and excerpts dealing with a logical sequence of themes, starting with how the
Qur’an
defines itself, addresses its audiences, depicts and dialogues with other religions and religious groups, refers to itself as a historical source, especially through storytelling, and ending with how it legislates. They will also cover a choice of Hadiths. By being exposed to such a range of texts, students will gain a basic knowledge of types and structure of Hadith and a general sense of Qur’anic styles, textual arrangements, terminology and concepts. Specifically, the assignments will guide students toward an ability to read these texts in detail by expanding their vocabulary, deepening their understanding of advanced grammar points, and by providing an opportunity to discuss the texts and write about them. Student will also acquire research skills by identifying and working with sources and references.
Prerequisites: STAT GU4205 or the equivalent. Least squares smoothing and prediction, linear systems, Fourier analysis, and spectral estimation. Impulse response and transfer function. Fourier series, the fast Fourier transform, autocorrelation function, and spectral density. Univariate Box-Jenkins modeling and forecasting. Emphasis on applications. Examples from the physical sciences, social sciences, and business. Computing is an integral part of the course.
This seminar asks what Chinese history tells us about global history and vice versa. Taking a long-term and multiregional approach, it invites you to develop your own answers to this question from perspectives such as trade and economy, migration and immigration, empire and imperialism, war, religion, science, gender, ideology, and modern state- and nation-building, and contemporary international relations. We will not only challenge Eurocentric and Sinocentric methodologies, but push toward new conceptual vocabularies that aspire to the genuinely global.
Introduction of fundamental ideas and algorithms on networks of information collected by online services. Properties pervasive in large networks, dynamics of individuals that lead to large collective phenomena, mechanisms underlying the web economy, and results and tools informing societal impact of algorithms on privacy, polarization and discrimination covered.
This seminar serves as an introduction to the historical rise of
anatomy
and
pathology
(the branches of medicine focused on the study of the human form and on the study of the diagnosis of disease, intimately connected with forensic science), by examining how medicine is represented in the prose fiction of the Romantic and Victorian periods. Together, our class will look at how anatomy became the basis of modern Western allopathic medicine, and why laboratory medicine emerged as a crucible for medico-scientific progress during the nineteenth century. As the physician’s practice turned away from concocting tinctures and remedies, medicine would now become grounded in scientific reasoning based on the mechanistic study of the human body—and its key procedure, the postmortem examination.
In the nineteenth century, a historical period that saw the first uses of the terms “autopsy” and “scientist,” literary writers were deeply engaged in the rise of anatomy, pathology, and forensics. Novels and short fiction served as a testing-ground for working out ideas about life and death in the complex sociocultural world of the Romantic and Victorian eras. In this course, as we read works by authors like Mary Shelley, Edgar Allan Poe, Sheridan LeFanu, Emile Zola, H.G. Wells, R.L. Stevenson, Bram Stoker, Arthur Conan Doyle, and Agatha Christie, we will consider the strange history of how “genre fiction” (gothic novels and detective stories) became a way of exploring the pathological in literary writing—while also containing its threats. By reading the medical writings of Humphry Davy, Matthew Baillie, Luigi Galvani, Claude Bernard, and Rudolf Virchow alongside these novels, we will see how the tropes we usually associate with literature fundamentally shaped the rise of laboratory and forensic medicine. And as we read the historical lifewriting of Robert Voorhis and Mary Seacole, we will think, too, about how the rise of anatomy in nineteenth-century medicine was tainted by the influence of (what was then called) “race science.”
Ultimately, we will consider why anatomy became a dominant motif in nineteenth-century fiction, and why genre fiction is still the “outhouse” (in Amitav Ghosh’s phrase) that keeps the pathological well apart from high realism. Along the way, a pathologist from the New York Medical Examiner’s Office will visit the class to talk about the legacies of the nineteenth century in modern
Prerequisites: elementary physical chemistry. Corequisites: CHEM G4221. Topics include the classical and quantum statistical mechanics of gases, liquids, and solids.
Prerequisites: Introductory geology and one year of calculus. Recommended preparation: One semester of college physics. Introduction to the fundamental concepts of structure and deformation processes in the Earth's crust. Fundamental theories of stress and strain, rock behavior in both brittle and ductile fields, large-scale crustal contractional and extensional structures with focus on their geometries and mechanics of formation. Introduction to the principles of earthquake mechanics with emphasis on physical processes. Laboratory sessions (part of the lecture) will cover techniques of structural analysis, recognition and interpretation of structures on geologic maps, and construction of interpretative cross sections.
Fundamentals and applications of solar energy conversion, especially technologies for conversion of sunlight into storable chemical energy or solar fuels. Topics include fundamentals of photoelectrochemistry, kinetics of solar fuels production, solar harvesting technologies, solar reactors, and solar thermal production of solar fuels. Applications include solar fuels technology for grid-scale energy storage, chemical industry, manufacturing, environmental remediation.
This course studies the effects and strategies of the cold war on Arab writing, education, arts and translation, and the counter movement in Arab culture to have its own identities. As the cold war functioned and still functions on a global scale, thematic and methodological comparisons are drawn with Latin America, India and Africa.
Prerequisites: (COMS W3134 or COMS W3136COMS W3137) and (COMS 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.
Design of concrete beams for combined torsion, shear and flexure; moment-curvature relation; bar cut-off locations; design of two-way slabs; strut-and-tie method for the design of deep beams and corbels; gravity and shear wall design; retaining wall design.
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 an introduction to Causal Inference at the masters and advanced undergraduate
level. Students will be introduced to a broad range of causal inference methods including randomized
experiments, observational studies, instrumental variables, di?erence-in-di?erences,
regression discontinuity design, and synthetic controls. In addition, the course will cover modern,
controversial debates regarding the foundations and limitations of causal inference.
The primary learning goal of this course will be to familiarize students with a variety of the
most popular causal inference methods: which causal e?ects they seek to estimate, basic assumptions
required for identi?cation and estimation, and their practical implementation. To
this end, the course will focus both on developing the pre-requisite statistical / methodological
theory and as well as gaining hands-on experience through implementation exercises with
real datasets. By the end of the course, students should have deep familiarity of various causal
inference methods and—more importantly—be able to determine which method is most appropriate
for a given applied problem and to judge whether the pre-requisite identifying conditions
are appropriate.
Develops a quantitative theory of the computational difficulty of problems in terms of the resources (e.g. 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.
Course Overview
Often described as “twin crises,” climate change and biodiversity loss are among the most urgent sustainability challenges to be addressed in our modern era. While much focus has rightfully been placed on climate change mitigation actions at local, regional, and global scales, biodiversity loss is less often addressed by governments, institutions, industries, and individuals as a critical piece of the sustainability puzzle. In 2021, COP 15, the fifteenth meeting of the Conference of the Parties to the UN Convention on Biological Diversity, received far less media attention than COP 26, the Conference of the Parties to the UN Convention on Climate Change. Yet climate change and biodiversity loss are inextricably linked, and without biodiversity and the associated ecosystem services and biospheric resilience upon which human society relies, a sustainable world is not possible. Moreover, certain climate change mitigation actions can actually be to the detriment of biological diversity.
Unlike a traditional conservation biology course geared towards ecologists and biologists, this course will be taught through the lens of sustainability management, equipping sustainability managers with the knowledge and direction needed to begin integrating biodiversity conservation and restoration into their professions. This course will illuminate the critical importance of biodiversity to sustainability and human well-being, the science and politics behind the current biodiversity crisis, and proposals, policies, and actions for bending the curve of biodiversity loss to create more sustainable and equitable outcomes for both humans and the non-humans with which we share our planet.
Students who seek to deepen their understanding of ecological sustainability and address the biodiversity crisis through the lens of sustainability management are encouraged to take this course. This course is an on-campus (or Hy-Flex) elective offered during the Fall semester and fulfills 3 credits within the Physical Dimensions of Sustainability Management curriculum area in the Master of Science in Sustainability Management program. Cross-registration is available to students outside of the Master of Science in Sustainability Management program, space permitting.
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.
Money in its multiple forms has received renewed attention in recent decades, especially since the financial crises in 2008 and the emergence of new cryptocurrencies. Money has been described as a means of exchange, a store of value, a measure of debt, a commodity, a social institution, or a tool in the formation of identity. In all of these instances, money fuses economic purposes with social and cultural practices. Exploring the intersections between economics and aesthetics, this course will juxtapose some of the most influential theories of money from Adam Smith to the present with contemporaneous literary texts that reflect on various aspects of money in their poetics on a thematic or formal level. Literary texts include Shakespeare, Goethe, Balzac, Zola, Thomas Mann, and Martin Amis.
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.
This course covers various topics in advanced machine learning. Topics may include optimization algorithms, Python libraries for ML, principles for applied supervised and unsupervised learning, hyperparameter selection, computational trade-offs, modern neural network architectures such as ConvNets, LSTMs, and transformers for computer vision and natural language processing, and deep learning for LLMs.
Project-based topics course in data science and artificial intelligence. Students build a portfolio by implementing and applying modern data science methods.
Description.
Unsupervised Learning is a masters level course on foundations, methods, practice, and applications in machine learning from data without associated labels or outcomes. This course will focus on dimension reduction and clustering techniques while also covering graphical models, missing data imputation, anomaly detection, generative models, and others. The course will also emphasize conceptual understanding and practical applications of unsupervised learning in data visualization, exploratory data analysis, data pre-processing, and data-driven discovery.
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.
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.
This course offers an introduction to German intellectual history by focusing on the key texts from the 18th and 19th century concerned with the philosophy of art and the philosophy of history. Instead of providing a general survey, this thematic focus that isolates the relatively new philosophical subspecialties allows for a careful tracing of a number of key problematics. The texts chosen for discussion in many cases are engaged in lively exchanges and controversies. For instance, Winckelmann provides an entry into the debate on the ancients versus the moderns by making a claim for both the historical, cultural specificity of a particular kind of art, and by advertising the art of Greek antiquity as a model to be imitated by the modern artist. Lessings Laocoon counters Winckelmanns idealizing approach to Greek art with a media specific reflection. According to Lessing, the fact that the Laocoon priest from the classical sculpture doesnt scream has nothing to do with the nobility of the Greek soul but all with the fact that a screaming mouth hewn in stone would be ugly. Herders piece on sculpture offers yet another take on this debate, one that refines and radicalizes an aesthetics based on the careful examination of the different senses, especially touch and feeling versus sight.—The second set of texts in this class deals with key enlightenment concepts of a philosophical anthropology informing the then emerging philosophy of history. Two literary texts will serve to mark key epochal units: Goethes Prometheus, which will be used in the introductory meeting, will be examined in view of its basic humanist program, Kleists Earthquake in Chili will serve as a base for the discussion of what would be considered the end of the Enlightenment: be that the collapse of a belief in progress or the critique of the beautiful and the sublime. The last unit of the class focuses on Hegels sweeping supra-individualist approach to the philosophy of history and Nietzsches fierce critique of Hegel. Readings are apportioned such that students can be expected to fully familiarize themselves with the arguments of these texts and inhabit them.
Will cover some of the fundamental processes of atomic diffusion, sintering and microstructural evolution, defect chemistry, ionic transport, and electrical properties of ceramic materials. Following this, we will examine applications of ceramic materials, specifically, ceramic thick and thin film materials in the areas of sensors and energy conversion/storage devices such as fuel cells, and batteries. The coursework level assumes that the student has already taken basic courses in the thermodynamics of materials, diffusion in materials, and crystal structures of materials.
Prerequisites: ECON UN3211 and ECON UN3213 The study of industrial behavior based on game-theoretic oligopoly models. Topics include pricing models, strategic aspects of business practice, vertical integration, and technological innovation.
The principles of surfaces and colloid chemistry critical to range of technologies indispensable to modern life. Surface and colloid chemistry has significance to life sciences, pharmaceuticals, agriculture, environmental remediation and waste management, earth resources recovery, electronics, advanced materials, enhanced oil recovery, and emerging extraterrestrial mining. Topics include: thermodynamics of surfaces, properties of surfactant solutions and surface films, electrokinetic phenomena at interfaces, principles of adsorption and mass transfer and modern experimental techniques. Leads to deeper understanding of interfacial engineering, particulate dispersions, emulsions, foams, aerosols, polymers in solution, and soft matter topics.
Utilization of data in everyday civil infrastructure. Optimization of decision-making for owners, facility managers, and policy-makers based on predictive results. Provides students with basic understanding of machine learning concepts and methods to formulate civil engineering problems to prediction problems. Introduces students to classic machine learning algorithms, deep learning algorithms, algorithmic thinking, and probabilistic views, and their applications in existing civil engineering problems.
This course deals with the proteome: the expressed protein complement of a cell, organelle, matrix, tissue, organ or organism. The study of the proteome (proteomics) is broadly applicable to life sciences research, and is increasingly 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. Emphasis will be on mastery of practical techniques of sample preparation, liquid chromatography/ mass spectrometry (LC/MS) with electrospray ionization, and Matrix-Assisted Laser Desorption and Ionization (MALDI-TOF) mass spectrometry. Database searching and interpretation for identification of proteins will be intensively studied, and practiced supported by background tutorials and exercises covering other techniques used in 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.
This seminar course explores the intersection of human rights and populism, examining how the rise of populist movements, leaders, and ideologies impact democratic institutions, global politics, and the protection of fundamental human rights. Through a multidisciplinary approach, the course evaluates the sociological, economic, and cultural factors driving populist surges, as well as their consequences for civic culture, governance, and international relations. Students will analyze the implications of populism for human rights in the context of migration, authoritarianism, freedom of speech, minorities, and challenges to international and regional courts and institutions. The course will investigate both left-wing and right-wing populist movements, considering the threat they pose to human rights, their pursuit of socio-economic rights through the redistribution of wealth, and how the human rights project could and is being rethought in light of these challenges and opportunities.
Overview of electrochemical processes and applications from perspectives of materials and devices. Thermodynamics and principles of electrochemistry, methods to characterize electrochemical processes, application of electrochemical materials and devices, including batteries, supercapacitors, fuel cells, electrochemical sensor, focus on link between material structure, composition, and properties with electrochemical performance.
Prerequisites: STAT GU4205 or the equivalent. A fast-paced introduction to statistical methods used in quantitative finance. Financial applications and statistical methodologies are intertwined in all lectures. Topics include regression analysis and applications to the Capital Asset Pricing Model and multifactor pricing models, principal components and multivariate analysis, smoothing techniques and estimation of yield curves statistical methods for financial time series, value at risk, term structure models and fixed income research, and estimation and modeling of volatilities. Hands-on experience with financial data.
Prerequisites: STAT GU4204 or the equivalent. STAT GU4205 is recommended. Modeling and inference for random processes, from natural sciences to finance and economics. ARMA, ARCH, GARCH and nonlinear models, parameter estimation, prediction and filtering. This is a core course in the MS program in mathematical finance.
Prerequisites: STAT GU4203. STAT GU4207 is recommended. Basics of continuous-time stochastic processes. Wiener processes. Stochastic integrals. Ito's formula, stochastic calculus. Stochastic exponentials and Girsanov's theorem. Gaussian processes. Stochastic differential equations. Additional topics as time permits.
Prerequisites: STAT GU4203. STAT GU4207 is recommended. Basics of continuous-time stochastic processes. Wiener processes. Stochastic integrals. Ito's formula, stochastic calculus. Stochastic exponentials and Girsanov's theorem. Gaussian processes. Stochastic differential equations. Additional topics as time permits.
Prerequisites: PSYC UN1010 PSYC UN1010 or equivalent; background in statistics/research methods recommended How does the human brain make sense of the acoustic world? What aspects of auditory perception do humans share with other animals? How does the brain perform the computations necessary for skills such as soundlocalization? How do we focus our auditory attention on one voice in a crowd? What acoustic cues are important for speech perception? How is music perceived? These are the types of questions we will address by studyingthe basics of auditory perception from textbook readings and reviews, and reading classic and current literatureto understand scientific progress in the field today.
Prerequisites: STAT GU4264. Mathematical theory and probabilistic tools for modeling and analyzing security markets are developed. Pricing options in complete and incomplete markets, equivalent martingale measures, utility maximization, term structure of interest rates. This is a core course in the MS program in mathematical finance.
French literature has been preoccupied with prostitutes and prostitution for centuries. This course proposes to examine the some of the various depictions of women and men who make their living via sexual activity, from the 18th century through our own era. We will trace the different varieties of “loose women”, identifying an extensive taxonomy of
courtisanes
,
lorettes
,
grisettes
,
filles de joie
etc., in male-authored works from
Manon Lescaut
(1731) through the apogee of literary obsession with “fallen women” in the 19th-century. Over the course of the century the romantic “whore with a heart of gold” trope (Dumas’s
Dame aux camélias
) coexisted with Mérimée’s fatal gypsy
Carmen
, Flaubert and Baudelaire’s insistence on prostitution as metaphor, Maupassant’s analyses of bourgeois hypocrisy in this regard, and, finally, Zola’s irresistible and destructive
Nana
. The 20th century saw more nuanced depictions of both female and male prostitution from such authors as Colette and Jean Genet. We will conclude with 21st-century first-person accounts of sex work by Nelly Arcan (
Putain
, 2001) and Virginie Despentes (
King Kong théorie
, 2006).
Why do we put off things until later—even things we know are important; even in cases where we know the cost of delaying; even when doing the work more gradually over time would be less unpleasant; even sometimes on tasks we anticipate enjoying? Everyone procrastinates sometimes, but why do some people seem to procrastinate a lot while others don’t have much of an issue with task delaying? This course reviews current research on selected cognitive and motivational theories of procrastination, as well as interaction of task delay with mental health and neurodiversity. We will close with an examination of some potential interventions that may help people reduce or avoid procrastination, both at the individual level and in academic settings such as course design.
Prerequisites: ECON UN3211 and ECON UN3213 and STAT UN1201 An introduction to the economics principles underlying the financial decisions of firms. The topics covered include bond and stock valuations, capital budgeting, dividend policy, market efficiency, risk valuation, and risk management. For information regarding REGISTRATION for this course, go to: http://econ.columbia.edu/registration-information.
Prerequisites: ECON UN3211 and ECON UN3213 and STAT UN1201 An introduction to the economics principles underlying the financial decisions of firms. The topics covered include bond and stock valuations, capital budgeting, dividend policy, market efficiency, risk valuation, and risk management. For information regarding REGISTRATION for this course, go to: http://econ.columbia.edu/registration-information.
Few places in the world have witnessed the shift from a multiethnic territory to a nationally homogeneous nation-state as profoundly as the Polish lands. A crucial site of the collapse of Central and Eastern European empires, the Holocaust, ethnic cleansings, Nazi occupation, Soviet-style socialism, and accession to the European Union, Poland’s twentieth-century and contemporary culture has developed in the shadow of catastrophe and political and economic revolutions.
This seminar investigates shifting meanings of cultural difference and sameness from 1918 to the present, including Polish debates on multiculturalism spurred by the ongoing European refugee crisis. We will examine meanings attached to people, things, and landscapes - Polish, Jewish, Ukrainian, German, Nazi or Soviet - through the lens of visual arts, everyday objects, scholarly discourses, and urban and rural topographies. While we will pay special attention to the historiography of twentieth-century Eastern Europe, the course relies on interdisciplinary approaches and welcomes students interested in the history of art and architecture, literature, social history, anthropology, cultural studies, and critical museology.
Prerequisites: PSYC UN1001 or equivalent introductory psychology course What is curiosity and how do we study it? How does curiosity facilitate learning? This course will explore the various conceptual and methodological approaches to studying curiosity and curiosity-driven learning, including animal and human studies of brain and behavior.
Prerequisites: (biol un2005 or biol un2401) or BIOL UN2005 or BIOL UN2401 or equivalent This is an advanced microscopy course aimed at graduates and advanced undergraduate students, who are interested in learning about the foundational principles of microscopy approaches and their applications in life sciences. The course will introduce the fundamentals of optics, light-matter interaction and in-depth view of most commonly used advanced microscopy methods, explore important practical imaging parameters, and also introduce digital images and their analysis.
Prerequisites: STAT GU4205 and at least one statistics course numbered between GU4221 and GU4261. This is a course on getting the most out of data. The emphasis will be on hands-on experience, involving case studies with real data and using common statistical packages. The course covers, at a very high level, exploratory data analysis, model formulation, goodness of fit testing, and other standard and non-standard statistical procedures, including linear regression, analysis of variance, nonlinear regression, generalized linear models, survival analysis, time series analysis, and modern regression methods. Students will be expected to propose a data set of their choice for use as case study material.
Topics in Modern Statistics provide students with an opportunity to study a specialized area of statistics in more depth to meet the educational needs of a rapidly changing field.
Topics in Modern Statistics provide students with an opportunity to study a specialized area of statistics in more depth to meet the educational needs of a rapidly changing field.
Topics in Modern Statistics provide students with an opportunity to study a specialized area of statistics in more depth to meet the educational needs of a rapidly changing field.
Topics in Modern Statistics provide students with an opportunity to study a specialized area of statistics in more depth to meet the educational needs of a rapidly changing field.
Programming experience in Python extremely useful. 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 ODEs. All programming exercises will be in Python.
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.
This course introduces the fundamental principles of corporate finance and their application to real-world business decisions. Students will examine how companies determine value, measure risk, and make financing choices, while developing the tools to analyze corporate investments and capital structures.
Intellectual Goals and Rationale
The course addresses core questions that drive business decision-making:
How do we determine what a company or investment opportunity is worth?
How do we value financial securities in an uncertain world?
What is risk? How do we measure it, and how does it affect the cost of capital?
What is the appropriate balance between debt and equity?
Course Content and Learning Approach
Through a combination of theoretical frameworks, case discussions, and Excel-based financial modeling, students will build the ability to analyze complex financial scenarios. Lectures provide the foundations of valuation and financing, while case work applies these tools to real business challenges.
Why This Course Matters
Valuation, investment evaluation, and financing decisions are central to careers in finance, consulting, entrepreneurship, and management. The skills gained—financial modeling, risk assessment, and valuation analysis—are directly relevant to roles in investment banking, private equity, corporate development, consulting, and executive leadership.
Who Should Take This Course
This introductory finance course is open to students from all academic backgrounds who seek to strengthen their financial literacy and analytical capabilities. It is particularly valuable for:
Students considering careers in finance, consulting, or general management
Entrepreneurs who need to understand funding and valuation
Students in other fields interested in how businesses create and measure value
Those planning to pursue graduate business education
Prerequisites
Economics:
ECON UN1105 Principles of Economics
Statistics (one of the following):
STAT UN1001 Intro to Statistical Reasoning
STAT UN1101 Introduction to Statistics
STAT UN1201 Calc-Based Introduction to Statistics
PSYC UN1610 Introductory Statistics for Behavioral Science
Cours
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.
Focusing on a canonical author is an immensely productive way to explore translation research and practice. The works of Sappho, Dante, Rilke, Césaire or Cavafy raise the question of reception in relation to many different critical approaches and illustrate many different strategies of translation and adaptation. The very issue of intertextuality that challenged the validity of author-centered courses after Roland Barthes’s proclamation of the death of the author reinstates it if we are willing to engage the oeuvre as an on-going interpretive project. By examining the poetry of the Greek Diaspora poet C. P. Cavafy in all its permutations (as criticism, translation, adaptation), the Cavafy case becomes an experimental ground for thinking about how a canonical author can open up our theories and practices of translation. For the final project students will choose a work by an author with a considerable body of critical work and translations and, following the example of Cavafy and his translators, come up with their own retranslations. Among the materials considered are commentary by E. M. Forster, C. M. Bowra, and Roman Jakobson, translations by Edmund Keeley and Philip Sherrard, James Merrill, Marguerite Yourcenar, and Daniel Mendelsohn, poems by W.H. Auden, Lawrence Durrell, and Joseph Brodsky, and visual art by David Hockney, and Duane Michals.
Introduction to natural and anthropogenic carbon cycle, and carbon - climate. Rationale and need to manage carbon and tools with which to do so (basic science, psychology, economics and policy background, negotiations - society; emphasis on interdisciplinary and inter-dependent approach). Simple carbon emission model to estimate the impacts of a specific intervention with regards to national, per capita and global emissions. Student-led case studies (e.g. reforestation, biofuels, CCS, efficiency, alternative energy) to illustrate necessary systems approach required to tackle global challenges.
This course examines the historical and theoretical issues concerning the representation of African Americans in film and media. The course will provide a historical overview while focusing on key themes, concepts, and texts.
This course seeks to build upon (or expand) skills learned in sculpture I. This workshop based course allows students more access to the shops to continue to develop those introductory skills while focusing on specific materials and processes. In this course students will complete one self directed project and a number of inclass short assignments and exercises providing a greater exposure to sculptural practice and processes. Acting as both a bridge to and support for more advanced inquiry into making.
Definition of a plasma. Plasmas in laboratories and nature, plasma production. Motion of charged particles in electric and magnetic fields, adiabatic invariants. Heuristic treatment of collisions, diffusion, transport, and resistivity. Plasma as a conducting fluid. Electrostatic and magnetostatic equilibria of plasmas. Waves in cold plasmas. Demonstration of laboratory plasma behavior, measurement of plasma properties. Illustrative problems in fusion, space, and nonneutral or beam plasmas.
Prerequisites: completion of three years of modern Chinese at least, or four years of Japanese or Korean.
This course is intended to provide a quantitative introduction to storage of carbon derived from greenhouse gases, mainly CO2, with a focus on geological carbon storage and mineralization in saline aquifers, depleted hydrocarbon reservoirs, and “reactive” subsurface formations (rocks rich in Fe, Ca, and Mg) as well and other natural and engineered storage reservoirs (e.g., terrestrial storage, ocean storage, building materials). Course modules cover fundamental processes such as geochemical fluid-rock interactions and fluid flow, transport, and trapping of supercritical and/or dissolved CO2 in the context of pore-scale properties to field-scale example storage reservoirs and specific integrative problems such as reservoir characterization and modeling techniques, estimating storage capacity, and regulations and monitoring.
Prerequisites: ECON UN3211 and ECON UN3213 Empirical findings on economic development, theoretical development models; problems of efficient resource allocation in a growing economy; balanced and unbalanced growth in closed and open economic systems; the role of capital accumulation and innovation in economic growth.
This course examines the historical and theoretical issues concerning the representation of African Americans in film and media. The course will provide a historical overview while focusing on key themes, concepts, and texts.
General experimental techniques in materials science, including X-ray diffraction, scanning electron microscopies, atomic force microscopy, materials synthesis and thermodynamics, characterization of material properties (mechanical, electrochemical, magnetic, electronic). Additional experiments at discretion of instructor.
Introduction to aerospace propulsion, including traditional and emerging aircraft and rocket propulsion systems — and energy storage approaches. Introduction to the design and thermodynamic performance analysis of such systems and their major components.
This course provides students with a rigorous foundation in capital markets and investments, emphasizing asset valuation from an applied perspective. It covers valuation techniques for financial securities essential to portfolio management and risk management applications. Key topics include arbitrage, the term structure of interest rates, portfolio theory, diversification, equilibrium asset pricing models such as the CAPM, market efficiency and inefficiencies, performance evaluation, analysis of common pooled investment vehicles, behavioral finance, and tax aware investment strategies. Through interactive activities, case studies, and simulations utilizing real world market data, students will acquire analytical skills and foundational knowledge required for advanced finance courses and practical roles within the investment industry.
This class won’t fulfill any economics requirements
Descriptive statistics, central limit theorem, parameter estimation, sufficient statistics, hypothesis testing, regression, logistic regression, goodness-of-fit tests, applications to operations research models.
What are the traditional definitions of jazz and how do they apply to improvised music in the twenty-first century? This course aims to communicate reliable methods and processes useful when dissecting and evaluating jazz performances and jazz compositions. Students will engage with traditional and fundamental jazz improvisation theory, then extrapolate new modalities reflective of the music happening today; including categorizing music on gradations from minimally to fully improvisational, tonal to harmonically abstract, rhythmically rigid to free, and sonically acoustic to fully synthesized. The class will explore and differentiate between “new complexity” classical compositions and virtuosic free form improvisation, compare US jazz to versions happening in other countries, and to recognize how world music influences affect improvisational tonal systems and improvisational traits.
Applications of continuum mechanics to the understanding of various biological tissues properties. The structure, function, and mechanical properties of various tissues in biolgical systems, such as blood vessels, muscle, skin, brain tissue, bone, tendon, cartilage, ligaments, etc. are examined. The establishment of basic governing mechanical principles and constitutive relations for each tissue. Experimental determination of various tissue properties. Medical and clinical implications of tissue mechanical behavior.
This course examines historical narratives and record-keeping in premodern Korea, focusing on the Chosŏn dynasty (1392–1910). It explores writing as a medium of power that shaped politics, social order, gender relations, and cultural identity. Through diverse texts, including official chronicles, didactic texts, memoirs, and (auto)biographies, students will analyze how individuals and institutions used writing to assert authority, express dissent, and document their lives.
Advanced instruction in the Armenian dialect. No P/D/F or R credit is allowed for this class.
This course deals with a fundamental question of sustainability management: how to change organizations and more complex systems, such as communities, industries, and markets, by integrating sustainability concerns in the way that they operate. The course poses this question to a dozen leading sustainability practitioners, who answer it by discussing management strategies that they use in their own work. Through these guest lectures, extensive class discussion, readings, and writing assignments, students identify and simulate applying practical ways for transforming how organizations and complex systems work. The practitioners, who work in the public, private, and nonprofit sectors and in a wide variety of organizations, make presentations in the first hour of the course. Students then have time to ask questions and speak informally with the guest practitioners, and will participate in an instructor-led class discussion, geared toward identifying management strategies, better understanding their application, and considering their effectiveness. By the end of the course, the students gain an understanding of management tools and strategies that they, themselves, would use to integrate sustainability in organizations.
The course complements the M.S. in Sustainability Management program’s required course, Sustainability Management (SUMA K4100). In that course, students study management and organization theory. In the Practicum, students learn directly from leading practitioners, who confront sustainability management issues daily.
Prerequisites: VIAR UN2300 (Formerly R3302) Laboratory in Relational Art; Sculpture without Objects The purpose of this class will be to explore the function of Relational Aesthetics in contemporary art practice and to develop ideas about the role of context in art, as the students develop their own site-specific works and research historical precedents for art designed to be exhibited in non-traditional venues. This course will also prepare students for professional work preparing art for venues of that type. This class will be structured around studio work, with an emphasis on the development and production of a final site-specific project. In order to foster students’ growth and ongoing investigation into the nature of contemporary sculpture, the class will also be comprised of slide lectures, visits to local artists’ studios, and galleries, as well as various public art projects throughout the city. As the semester progresses, the emphasis will gradually be shifted from research to intensive studio work on a final project, often a proposal for a site-specific work in a non-traditional venue. Generally, the first half of each class session will be dedicated to lecture and discussion, while the second half will be dedicated to individual studio work and critique.
Prerequisites: (CHEM UN2443 and CHEM UN2444) and (CHEM UN3079 and CHEM UN3080) and (BIOC UN3501) , or the equivalent. Development and application of chemical methods for understanding the molecular mechanisms of cellular processes. Review of the biosynthesis, chemical synthesis, and structure and function of proteins and nucleic acids. Application of chemical methods--including structural biology, enzymology, chemical genetics, and the synthesis of modified biological molecules--to the study of cellular processes--including transcription, translation, and signal transduction.
Differential and multistage amplifiers; small-signal analysis; biasing techniques; frequency response; negative feedback; stability criteria; frequency compensation techniques. Analog layout techniques. An extensive design project is an integral part of the course.
This course introduces a molecular level understanding of topics in modern chemical engineering. It builds upon and validates the concepts presented in the rest of the chemical engineering curriculum via a molecular perspective.
Thermodynamics and kinetics of reacting flows; chemical kinetic mechanisms for fuel oxidation and pollutant formation; transport phenomena; conservation equations for reacting flows; laminar nonpremixed flames (including droplet vaporization and burning); laminar premixed flames; flame stabilization, quenching, ignition, extinction, and other limit phenomena; detonations; flame aerodynamics and turbulent flames.