This course is organized around a number of thematic centers or modules. Each is focused on stylistic peculiarities typical of a given functional style of the Ukrainian language. Each is designed to assist the student in acquiring an active command of lexical, grammatical, discourse, and stylistic traits that distinguish one style from the others and actively using them in real-life communicative settings in contemporary Ukraine. The styles include literary fiction, scholarly prose, and journalism, both printed and broadcast
Advanced topics in linear algebra with applications to data analysis, algorithms, dynamics and differential equations, and more. (1) General vector spaces, linear transformations, spaces isomorphisms; (2) spectral theory - normal matrices and their spectral properties, Rayleigh quotient, Courant-Fischer Theorem, Jordan forms, eigenvalue perturbations; (3) least squares problem and the Gauss-Markov Theorem; (4) singular value decomposition, its approximation properties, matrix norms, PCA and CCA.
It is widely known that in the Soviet Union, from the first years after the Revolution of 1917, the image of a "New Person," with not only a new morality but also a new physical body, was enthusiastically constructed on both verbal and visual levels and then thoroughly developed and widely propagandized. Literature and visual arts played a significant role in creating and disseminating these images. The same media were also often used to transmit normative ideas about health, illness, hygiene, sexuality, etc. Lived reality, however, frequently contradicted the propaganda and the iconic images it produced, and some works of art registered that tension, sometimes deliberately, sometimes without meaning to. This course will discuss Soviet attitudes and practices towards the body, disciplining the body, and the role of sport and exercise in human life. We will also focus on the work of healthcare institutions, discuss issues of medical ethics, and address models of relationships between patients and doctors that significantly differ from those we know from 20th-century Western Europe and the USA. Throughout, we will look at the normative images, at the practices, and at the ways in which their divergence was reflected upon.
This course is addressed to students interested in Soviet culture and history. It may be of particular interest to those who have not learned a lot about Soviet culture, but who plan to specialize in medicine and healthcare. The literary and visual works suggested for discussion will help us understand the specific traits in Soviet perceptions of health, illness, and death that have carried over into the post-Soviet period.
Basic concepts of spatial data representation and organization, and analytical tools are introduced and applied in a form of case studies from hydrology, environmental conservation, and emergency response to natural or man-made hazards, among others. Technical content includes geographic topics (map projections, cartography, etc.), spatial statistics, database design and use, interpolation and visualization of spatial surfaces and volumes, and multi-criteria decision analysis. Students will learn the basics of ArcGIS Pro, Model Builder and Python. Elective term projects or final exams emphasize spatial information synthesis towards the solution of a specific problem.
Basic concepts of spatial data representation and organization, and analytical tools are introduced and applied in a form of case studies from hydrology, environmental conservation, and emergency response to natural or man-made hazards, among others. Technical content includes geographic topics (map projections, cartography, etc.), spatial statistics, database design and use, interpolation and visualization of spatial surfaces and volumes, and multi-criteria decision analysis. Students will learn the basics of ArcGIS Pro, Model Builder and Python. Elective term projects or final exams emphasize spatial information synthesis towards the solution of a specific problem.
This course will examine geological problems from a standpoint of thermodynamic and kinetic theory. Theoretical thermodynamic concepts will be used to derive the crystallization depth and temperature of metamorphic and magmatic minerals, describe the solubility of volatile species in magmas, predict the composition of volcanic gas mixtures, model the nucleation and growth of crystals and bubbles in a melt and determine the chemical interaction between water and rock at the Earth’s surface. Kinetic treatments on the diffusion of heat and matter through crystals and melts will be used to constrain the timing of geological processes. Recommended preparation: Knowledge of mathematics at the level of partial differential equations; mineralogy (EESC 4113); and petrology (EESC 4701); or permission of the instructor.
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.
Prerequisites: GREK UN2101 - GREK UN2102 or the equivalent. Since the content of this course changes each year, it may be repeated for credit.
Prerequisites: LATN UN3012 or the equivalent. Since the content of this course changes from year to year, it may be repeated for credit.
This is a course in Spanish conversation. Students will study and practice features of social interaction in Spanish that are crucial to participate in the new culture. This means the course has two learning objectives: One is learning to engage in regular conversations in Spanish; the other is to understand how conversation works. We will cover conversational issues such as gesture, narratives, intonation, opening and closing interactions, turn taking, etc. both in linguistics and social terms. Practice and analysis will be connected: Every week we will consider an aspect of oral interaction in Spanish. We will study those features in naturally occurring conversations among native speakers and we will practice in actual conversations inside and outside the classroom, by means of role play, simulation, film making, debates and interviews. We will use topics of conversation to provide a meaningful environment for the conversation practice.
The purpose of this course is to provide a comprehensive introduction to accounting. It is designed to provide managerially oriented users of accounting products with the foundations of accounting concepts, the underlying mechanics, and the overall perspective required to become intelligent users of accounting information. The course will focus on the typical financial statements (e.g., balance sheets, income statements, and cash flow statements) along with the environment in which they are produced and used. The overarching perspective is that accounting reports provide information that is useful for various purposes.
The course design emphasizes that the information content of accounting reports is jointly determined by the accounting methods used to generate the reports and the environment in which the reports are produced and used. Thus, the course integrates the study of accounting methods and the study of the accounting environment. Accounting concerns, in turn, vary with market opportunities, instruments, and organizational arrangements at hand.
The course is organized into two interrelated modules. First, we review accounting-related institutional details, the nature of financial reports, audits, and disclosure. This includes the examination of the three main financial statements the nature of accrual measurement, and the information perspective that is central to the course. Second, we explore accounting methods in detail, focusing on revenue recognition, assets, liabilities, and equity. We explicitly consider accounting issues related to global organizations.
Throughout the course, we apply these concepts to real-world contexts, with attention to ethics, data integrity, financial statement analysis, valuation, and regulatory frameworks. In addition, we integrate contemporary topics such as the impact of climate change and ESG (environmental, social, and governance) considerations on financial reporting. Selected current events and emerging trends in ESG reporting are discussed in relation to the accounting frameworks and principles covered in class.
Finally, we explore the role of artificial intelligence—particularly large language models (LLMs)—in financial analysis. The course introduces how AI tools can assist in interpreting financial statements, while emphasizing the importance of human judgment and expertise in ensuring responsible and effective use of AI technologies.
For Mendelson Students Only.
Prerequisites: two years of Chinese study at college level. This course is designed for students who have studied Chinese for two years at college level and are interested in business studies concerning China. It offers systematic descriptions of Chinese language used in business discourse. CC GS EN CE
This seminar examines the grotesque as one of Eastern European literature’s most productive formal resources: a way of revealing what happens when incompatibilities are forced into uneasy coexistence in various representational sites – whether that be the same body, image, voice, institution, or world. We will read works from a wide range of Eastern European traditions – Russian, Ukrainian, Slovenian, Czech, Polish, Romanian, Albanian, South Slavic/post-Yugoslav, and Hungarian. The course is comparative and does not treat Eastern Europe as a monoculture. Instead, it asks why writers whose lives and works have been informed by a great diversity of forces – empires, border changes, modernization, war, revolution, state socialism, post-socialist transition, folklore, and ecological crisis – converge on the grotesque as a representational strategy. We will also learn how to read the meanings of various grotesque representational staples – distorted bodies, animate objects, proliferating doubles, impossible bureaucracies, unstable genres, and comic catastrophe.
Across the semester, we will develop a sophisticated working definition of the grotesque by examining its greatest theorists – from Bakhtin and Kayser to Eikhenbaum, Ruskin, Thomson, Harpham, Russo, and Connelly.
The literary readings are assigned as whole works: unexcerpted novels and novellas, plays, and stories or story cycles. Only scholarship and theoretical books will be assigned in excerpts. All readings are available in English
Media Chinese (I & II) : This level-4 course enhances students’ proficiency in reading and discussing current events in Chinese. It features close reading and critical discussions on topics such as politics, economics, culture, and social issues. Through careful analysis of authentic media materials, students will further develop their language skills and deepen their understanding of contemporary China. By the end of the course, students will be able to navigate Chinese media sources confidently and engage meaningfully in conversations about both global and Chinese current events.
This course is designed to help students master formal Chinese for professional or academic purposes. It includes reading materials and discussions on selections from Chinese media covering contemporary topics, Chinese literature, and modern Chinese intellectual history. The course aims to enhance students' strategies for comprehension, as well as their written and oral communication skills in formal modern Chinese.
Typical experiments are in the areas of plasma physics, microwaves, laser applications, optical spectroscopy physics, and superconductivity.
Prerequisites: CHNS W4017 or the equivalent. This is a non-consecutive reading course designed for those whose proficiency is above 4th level. See Admission to Language Courses. Selections from contemporary Chinese authors in both traditional and simplified characters with attention to expository, journalistic, and literary styles.
Prerequisites: JPNS W4017 or the equivalent. Sections 1 - 2: Readings of advanced modern literary, historical, political, and journalistic texts, and class discussions about current issues and videos. Exercises in scanning, comprehension, and English translation. Section 3: Designed for advanced students interested in developing skills for reading and comprehending modern Japanese scholarship.
Prerequisites: PHYS GU4021 and PHYS GU4023 or the equivalent. Introduction to solid-state physics: crystal structures, properties of periodic lattices, electrons in metals, band structure, transport properties, semiconductors, magnetism, and superconductivity.
This course, taught in English, offers an in-depth exploration of the Chinese language and its historical development. Key topics include historical phonology and syntax, the Chinese script, and the classification and linguistic features of major dialects. The course also explores the emergence of modern standard Chinese and early poetic traditions. The primary goal is to deepen students’ understanding of the language’s evolution while strengthening their critical thinking skills.
Many modern theories of grammar are almost entirely based on English, having been developed mainly to describe the structure of English and, to a much lesser extent, other familiar languages of Europe. But the languages of the world are highly diverse, many of them, in contrast to English, with highly complex word and inflectional structures and relatively simple phrasal structures. Theories of grammar built on English serve such languages poorly. This course seeks to address this imbalance by focusing on languages with complex morphological and morphosyntactic structures. Because the grammars of such languages are built around word structures, we will be exploring current lexicalist theories of grammar such as Lexical Functional Grammar and Construction Grammar to develop formal explicit analyses of these languages. One learns morphological and morphosyntactic analysis by doing it across languages of various types, so we will regularly be working through problems to analyze in class.
Prerequisites: PHYS GU4021. Formulation of quantum mechanics in terms of state vectors and linear operators, three-dimensional spherically symmetric potentials, the theory of angular momentum and spin, time-independent and time-dependent perturbation theory, scattering theory, and identical particles. Selected phenomena from atomic physics, nuclear physics, and elementary particle physics are described and then interpreted using quantum mechanical models.
This course provides an introduction to semantics, the study of meaning in language. We will explore a range of semantic phenomena, and students will learn the tools and techniques of formal semantic analysis as well as core concepts, goals, and findings of the field.
This course explores architecture in Western Europe during the Middle Ages. The time frame starts with the conquest of England in 1066 and ends with the appointment of Gothic experts in 1399 to advise on the construction of Milan Cathedral towards the end of the Middle Ages. The first historical event coincides with the creation of architecture of a bewildering scale while the second reflects the end of building without architectural treatises or architectural theory - in a modern sense. The course will also introduce students to new digital technologies such as laser scanning and photogrammetry for the study of medieval architecture. No preliminary knowledge of medieval history or architectural history is needed, and no knowledge of digital technologies or specific computer skills is expected.
The monuments selected belong to a period that starts when architecture moved away from Roman antique models and ends just before the re-adoption of Classical standards in the Renaissance. In this course the originality of medieval architecture, its relationship with earlier and later monuments, and the dramatic effort involved in its creation will be discussed. Major themes of medieval society such as pilgrimages, crusades, piety, the cult of relics, and the social and intellectual context of the Middle Ages are also part of this lecture. In the first weeks, important concepts of medieval society and its architecture will be presented in combination with a number of new technologies recently adopted in the field. These introductory classes will offer the foundations needed to understand artistic and architectural developments in the Middle Ages. While the course will focus on architecture, different media are included when they provide valuable information on the artistic and cultural context to which buildings belong. New technologies serve as a basis for a critical discussion about the changes in method introduced by new media and technologies in the field of architectural history.
A survey of postwar Czech fiction and drama. Knowledge of Czech not necessary. Parallel reading lists available in translation and in the original.
We will explore Anton Chekhov’s work on its own terms, in its cultural context, and in relation to the work of others, especially Anglophone writers who responded, directly or indirectly, to Chekhov and his work. Readings by Chekhov include selected stories (short and long), his four major plays, and
Sakhalin Island,
his study of the Russian penal colony.
There are no prerequisites. Knowledge of Russian is not required; all readings in English.
Students who know Russian are encouraged to read Chekhov’s work in Russian.
The course will be comparative as it addresses Chekhov on his own and in relation to anglophone writers.
The course is open to undergraduates (CC, GS, BC) and graduates in GSAS and other schools. The attention to
how
Chekhov writes may interest students in the School of the Arts.
Prerequisites: PHYS UN3003 and PHYS UN3007 or the equivalent. Tensor algebra, tensor analysis, introduction to Riemann geometry. Motion of particles, fluid, and fields in curved spacetime. Einstein equation. Schwarzschild solution; test-particle orbits and light bending. Introduction to black holes, gravitational waves, and cosmological models.
Prerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Groups, homomorphisms, normal subgroups, the isomorphism theorems, symmetric groups, group actions, the Sylow theorems, finitely generated abelian groups.
Prerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Rings, homomorphisms, ideals, integral and Euclidean domains, the division algorithm, principal ideal and unique factorization domains, fields, algebraic and transcendental extensions, splitting fields, finite fields, Galois theory.
Prerequisites: MATH GU4041 and MATH GU4042 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.
Prerequisites: (MATH GU4041 and MATH GU4042) and MATH UN3007 Plane curves, affine and projective varieties, singularities, normalization, Riemann surfaces, divisors, linear systems, Riemann-Roch theorem.
This course teaches students how to move from data analysis to model building and prediction. It introduces computational and systems-level approaches for understanding genomes, molecular and cellular networks, evolution, disease genetics, and virtual cells, helping students learn how quantitative models can be used to generate mechanistic insight and testable biological hypotheses.
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.
These two-part mid-career global leadership development courses (1.5 credit course in the summer and spring) provide intensive, collaborative, and highly interactive hands-on instruction, constructive evaluation, and ample opportunities to transform theory into practice. It utilizes cutting-edge, research-based methodologies and customized case studies to build the next generation of leaders that turn differences into opportunities, ideas into solutions, and knowledge into action. Students will acquire a variety of leadership skills in global contexts, including cross-cultural negotiation strategies, consensus building, collaborative facilitation, persuasion, inclusionary leadership, design-thinking-based problem-solving techniques, and public speaking in knowledge-intensive industries. They will gain a competitive edge in their professional careers by participating in a variety of simulation games, role-playing exercises, and mock public policy panels to apply the skills they have learned and receive valuable feedback.
Prerequisites: MATH GU4051 Topology and / or MATH GU4061 Introduction To Modern Analysis I (or equivalents). Recommended (can be taken concurrently): MATH UN2010 linear algebra, or equivalent. The study of algebraic and geometric properties of knots in R^3, including but not limited to knot projections and Reidemeisters theorm, Seifert surfaces, braids, tangles, knot polynomials, fundamental group of knot complements. Depending on time and student interest, we will discuss more advanced topics like knot concordance, relationship to 3-manifold topology, other algebraic knot invariants.
A substantial paper, developing from an Autumn workshop and continuing into the Spring under the direction of an individual adviser. Open only to Barnard senior philosophy majors.
Prerequisites: MATH UN2010 and MATH GU4041 and MATH GU4051 The study of topological spaces from algebraic properties, including the essentials of homology and the fundamental group. The Brouwer fixed point theorem. The homology of surfaces. Covering spaces.
This seminar examines ways in which Italy is understood and represented by Italians and non-Italians. It will analyze the formation of multiple discourses on Italy, how Italian culture and society are imagined, represented and/or distorted. Based on an anthropological perspective, this course will examine ways in which we can understand Italy through the intersections of pluralism, ethnicity, gender, and religion. The course will study how Italy strives for political and economic unity, while there is a concurrent push toward inequality, exclusion, and marginalization. Moreover, the course will analyze the revitalization of nationalism on one hand of regionalism on the other, and will focus on the concepts of territory, identity, and tradition. Short videos that can be watched on computer and alternative readings for those fluent in Italian will be assigned. There are no pre-requisites for this course.
Enrollment limited to 12 students. Mechatronics is the application of electronics and microcomputers to control mechanical systems. Systems explored include on/off systems, solenoids, stepper motors, DC motors, thermal systems, magnetic levitation. Use of analog and digital electronics and various sensors for control. Programming microcomputers in Assembly and C. Lab required.
Prerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Real numbers, metric spaces, elements of general topology, sequences and series, continuity, differentiation, integration, uniform convergence, Ascoli-Arzela theorem, Stone-Weierstrass theorem.
The second term of this course may not be taken without the first. Power series, analytic functions, Implicit function theorem, Fubini theorem, change of variables formula, Lebesgue measure and integration, function spaces.
This course examines Ukrainian cinema from Yosyp Tymchenko’s invention of the cinematograph in the 1890s to the present as both a transforming mirror and a maker of modern Ukrainian identity. It explores how film shapes collective self-representation, memory, and political imagination, and how Ukrainian filmmakers have negotiated questions of language, history, ethnicity, religion, and political belonging in a society shaped by prolonged colonial domination. The course examines cinema as both an instrument of imperial power and a medium of self-expression and resistance, focusing on the ways Ukrainian filmmakers have reproduced, negotiated, challenged, and sought to overcome inherited colonial legacies. An interdisciplinary course, it draws on history, literary studies, linguistics, theater and art history, and theories of national cinema, colonialism, and postcolonialism to examine the complex interactions among film, language, literature, politics, and historical memory. A comparative dimension situates Ukrainian cinema alongside other national cinemas shaped by imperial and colonial domination.
There are no prerequisites and the course assumes no prior knowledge of Ukrainian language, history, and culture.
Building the functional map of the fruit fly brain. Molecular transduction and spatio-temporal encoding in the early visual system. Predictive coding in the Drosophila retina. Canonical circuits in motion detection. Canonical navigation circuits in the central complex. Molecular transduction and combinatorial encoding in the early olfactory system. Predictive coding in the antennal lobe. The functional role of the mushroom body and the lateral horn. Canonical circuits for associative learning and innate memory. Projects in Python.
Prerequisites: one year each of biology and physics, or the instructor's permission. This is a combined lecture/seminar course designed for graduate students and advanced undergraduates. The course will cover a series of cases where biological systems take advantage of physical phenomena in counter intuitive and surprising ways to accomplish their functions. In each of these cases, we will discuss different physical mechanisms at work. We will limit our discussions to simple, qualitative arguments. We will also discuss experimental methods enabling the study of these biological systems. Overall, the course will expose students to a wide range of physical concepts involved in biological processes.
Please refer to Institute for African American and African Diaspora Studies Department for section-by-section course descriptions.
RNA has recently taken center stage with the discovery that RNA molecules sculpt the landscape and information contained within our genomes. Furthermore, some ancient RNA molecules combine the roles of both genotype and phenotype into a single molecule. These multi-tasking RNAs offering a possible solution to the paradox of which came first: DNA or proteins. This seminar explores the link between modern RNA, metabolism, and insights into a prebiotic RNA world that existed some 3.8 billion years ago. Topics include the origin of life, replication, and the origin of the genetic code; conventional, new, and bizarre forms of RNA processing; structure, function and evolution of key RNA molecules, including the ribosome, and RNA therapeutics including vaccines. The format will be weekly seminar discussions with presentations. Readings will be taken from the primary literature, emphasizing seminal and recent literature. Requirements will be student presentations, class participation, and a final paper.
Prerequisites: (MATH GU4051 or MATH GU4061) and MATH UN2010 Concept of a differentiable manifold. Tangent spaces and vector fields. The inverse function theorem. Transversality and Sards theorem. Intersection theory. Orientations. Poincare-Hopf theorem. Differential forms and Stokes theorem.
An introduction to how the Earth and planets work. The focus is on physical processes that control plate tectonics and the evolution of planetary interiors and surfaces; analytical descriptions of these processes; weekly physical model demonstrations.
Basic concepts of seismology. Earthquake characteristics, magnitude, response spectrum, dynamic response of structures to ground motion. Base isolation and earthquake-resistant design. Wind loads and aeroelastic instabilities. Extreme winds. Wind effects on structures and gust factors.
This course will begin by clearly defining what sustainability management is and determining if a sustainable economy is actually feasible. Students will learn to connect environmental protection to organizational management by exploring the technical, financial, managerial, and political challenges of effectively managing a sustainable environment and economy. This course is taught in a case-based format and will seek to help students learn the basics of management, environmental policy and sustainability economics. Sustainability management matters because we only have one planet, and we must learn how to manage our organizations in a way that ensures that the health of our planet can be maintained and bettered. This course is designed to introduce students to the field of sustainability management. It is not an academic course that reviews the literature of the field and discusses how scholars thing about the management of organizations that are environmentally sound. It is a practical course organized around the core concepts of sustainability.
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: Organic chemistry and biology courses, neuroscience or neurobiology recommended, but not required. The study of the brain is one of the most exciting frontiers in science and medicine today. Although neuroscience is by nature a multi-disciplinary effort, chemistry has played many critical roles in the development of modern neuroscience, neuropharmacology, and brain imaging. Chemistry, and the chemical probes it generates, such as molecular modulators, therapeutics, imaging agents, sensors, or actuators, will continue to impact neuroscience on both preclinical and clinical levels. In this course, two major themes will be discussed. In the first one, titled Imaging brain function with chemical tools, we will discuss molecular designs and functional parameters of widely used fluorescent sensors in neuroscience (calcium, voltage, and neurotransmitter sensors), their impact on neuroscience, pros and cons of genetically encoded sensors versus chemical probes, and translatability of these approaches to the human brain. In the second major theme, titled Perturbation of the brain function with chemical tools, we will examine psychoactive substances, the basics of medicinal chemistry, brain receptor activation mechanisms and coupled signaling pathways, and their effects on circuit and brain function. We will also discuss recent approaches, failures and successes in the treatment of neurodegenerative and psychiatric disorders. Recent advances in precise brain function perturbation by light (optogenetics and photopharmacology) will also be introduced. In the context of both themes we will discuss the current and future possibilities for the design of novel materials, drawing on the wide molecular structural space (small molecules, proteins, polymers, nanomaterials), aimed at monitoring, modulating, and repairing human brain function. This course is intended for students (undergraduate and graduate) from the science, engineering and medical departments.
Introduction to stochastic processes and models, with emphasis on applications to engineering and management; random walks, gambler’s ruin problem, Markov chains in both discrete and continuous time, Poisson processes, renewal processes, stopping times, Wald’s equation, binomial lattice model for pricing risky assets, simple option pricing; simulation of simple stochastic processes, Brownian motion, and geometric Brownian motion. A specialized version of IEOR E4106 for MSE students.
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.
This course builds on an introductory course in statistics and dives deeper into linear regression models, including generalized linear models, mixed/hierarchical models, model diagnostics, and model selection. It focuses on the practical applications of these methods rather than the mathematical complexities. A prior course or equivalent knowledge of fundamental concepts in statistics as well as familiarity with R programming are required pre-requisites for this course.
Prerequisites: at least two terms of Greek at the 3000-level or higher. Greek literature of the 4th century B.C. and of the Hellenistic and Imperial Ages.
Some of the main stochastic models used in engineering and operations research applications: discrete-time Markov chains, Poisson processes, birth and death processes and other continuous Markov chains, renewal reward processes. Applications: queueing, reliability, inventory, and finance.
Prerequisites: KORN W4006 or the equivalent. Selections from advanced modern Korean writings in social sciences, literature, culture, history, journalistic texts, and intensive conversation exercises.
Prerequisites: at least two terms of Latin at the 3000-level or higher. Latin literature from Augustus to 600 C.E.
This course develops students’ proficiency in formal and professional communication in Korean for business contexts. It deepens their understanding of Korean corporate culture, business practices, and broader socio-economic trends, while fostering the ability to analyze and respond critically to business-related issues using appropriate linguistic and cultural strategies.
Prerequisites: KORN UN3006 or the equivalent.
Prerequisites: LING UN3101 Language, like all components of culture, is structured and conventional, yet can nevertheless change over time. This course examines how language changes, firstly as a self-contained system that changes organically and autonomously, and secondly as contextualized habits that change in time, in space, and in communities. Workload: readings & discussion, weekly problems, and final examination.
Against the backdrop of the heated critical debate on the boundaries and limitations of the autobiographical genre, this course addresses the modern and contemporary tradition of autobiographical writings, focusing in particular (but not exclusively) on exploring and positing the potential difference between male and female autobiographers. More specifically, we will question the adequacy of the traditional model of autobiographical selfhood based on the assumption of unified, universal, exemplary and transcendent self to arrive at an understanding of women's autobiography. Topics to be addressed include: the crisis of the subject, je est un autre, the man with a movie camera, strategies of concealment and disclosures. Authors to be studied include: D'Annunzio, Pirandello, Svevo, Fellini, Moretti, Ortese, Ginzburg, Manzini, Cialente, Ramondino. In Italian
Indigenous people are often imagined in the distant past, or as living anachronisms in relation to contemporary life. Working against these assumptions, this course examines how Native peoples have survived colonialism, focusing on economic aspects of colonialism in North America, while looking to Australia and Hawai‘i. We will look at the long history of Native land struggles, and links between colonial economies and ecological destruction. Themes guiding our inquiry include: the development of wage labor, property law and economic production on Native lands, histories of political and economic dependency, "development" as defined and practiced over Native communities, and Native people's own economic choices. Our inquiry will be oriented towards deepening our ability to critically analyze the colonial situation we live in, and to see Indigenous survivals despite ongoing assaults against life and territory.
Ray optics, matrix formulation, wave effects, interference, Gaussian beams, Fourier optics, diffraction, image formation, electromagnetic theory of light, polarization and crystal optics, coherence, guided wave and fiber optics, optical elements, photons, selected topics in nonlinear optics.
This course will focus on one advanced topic in feminist philosophy. Potential topics include embodiment, gender, sexuality, oppression, intersectionality, and care ethics.
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.
Philology, broadly defined as the practice of making sense of texts, is a fundamental human activity that has been repeatedly institutionalized in widely separated places and times. In the wake of the formation of the modern academic disciplines in the nineteenth century and their global spread, it became difficult to understand the power and glory of older western philology, and its striking parallels with other pre- and early modern forms of scholarship around the globe. This class seeks to create a new comparative framework for understanding how earlier generations made sense of the texts that they valued, and how their practices provide still-vital models for us at a time of upheaval in the format and media of texts and in our scholarly approaches to them. Students will encounter key fields of philology—textual criticism, lexicography, grammar, and, above all, commentary—not in the abstract but as instantiated in relation to four foundational works—the Confucian Analects, the Ramaya?a of Valmiki, the Aeneid, and the Tale of Genji—and the scholarly traditions that grew up around them. We are never alone when we grapple with the basic question of how to read texts whose meaning is unclear to us. Over the course of the semester, this class will foster a global understanding of the deep roots and strange parallels linking contemporary reading and interpretation to the practices of the past.
Develops and applies non-equilibrium thermodynamics for modeling of transport phenomena in fluids and their mixtures. Continuum balances of mass, energy and momentum for pure fluids; non-equilibrium thermodynamic development of Newtons law of viscosity and Fouriers law; applications (conduction dominated energy transport, forced and free convection energy transport in fluids); balance laws for fluid mixtures; non-equilibrium thermodynamic development of Ficks law; applications (diffusion-reaction problems, analogy between energy and mass transport processes, transport in electrolyte solutions, sedimentation).
Advanced Business Chinese II is the continuation of Advanced Business Chinese I, both of which are designed to help Columbia students who have achieved the advanced level of proficiency in Chinese use the language to communicate effectively in professional contexts. Topics to be discussed include, but are not limited to, the concept of Face, Guanxi/Interpersonal obligations, Chinese modesty and humility, and Chinese style of negotiation and decision making.
Stress and deformation formulation in two-and three-dimensional solids; viscoelastic and plastic material in one and two dimensions energy methods.
Advanced senior-level/MS/PhD course covering interaction of laser light with matter in both classical and quantum domains. First half introduces microscopic origin of optical nonlinearities through formal derivation of nonlinear susceptibilities, emphasis on second- and third-order optical processes. Topics include Maxwell's wave equation, and nonlinear optical processes such as second-harmonic, difference frequency generation, four-wave mixing, and self-phase modulation, including various applications of processes such as frequency conversion, and optical parametric amplifiers and oscillators. Second half describes two-level atomic systems and quantization of electromagnetic field. Descriptions of coherent, Fock, and squeezed states of light discussed and techniques to generate such states outlined.
Elastic stresses at a crack; energy and stress intensity criteria for crack growth; effect of plastic zone at the crack; fracture testing applications. Fatigue characterization by stress-life and strain-life; damage index; crack propagation; fail safe and safe life analysis.
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 the UNIX operating system. A programming project is required.
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.
Boltzmann’s entropy hypothesis and its restatement to calculate the Helmholtz and Gibbs free energies and the grand potential. Applications to interfaces, liquid crystal displays, polymeric materials, crystalline solids, heat capacity and electrical conductivity of crystalline materials, fuel cell solid electrolytes, rubbers, surfactants, molecular self assembly, ferroelectricity. Computational methods for molecular systems. Monte Carlo (MC) and molecular dynamics (MD) simulation methods. MC method applied to liquid-gas and ferromagnetic phase transitions. Deterministic MD simulations of isolated gases and liquids. Stochastic MD simulation methods.
An introduction to computer architecture and distributed systems with an emphasis on warehouse scale computing systems. Topics will include fundamental tradeoffs in computer systems, hardware and software techniques for exploiting instruction-level parallelism, data-level parallelism and task level parallelism, scheduling, caching, prefetching, network and memory architecture, latency and throughput optimizations, specialization, and an introduction to programming data center computers.