ESSENTIALS OF CHEM ENGIN B

Part of an accelerated consideration of the essential chemical engineering principles from the undergraduate program, including topics from Reaction Kinetics and Reactor Design, Chemical Engineering Thermodynamics, I and II, and Chemical and Biochemical Separations. While required for all M.S. students with Scientist to Engineer status, the credits from this course may not be applied toward any chemical engineering degree.

• Department: Chemical Engineering
• Instructor: Christopher S Chen
  Info
• 3 points

Writing and Editing the Black Studies Jo

Writing, Editing SOULS Jo

This course is a Black Studies research and publication design studio. Here, the integrity of “an imagined moral-intellectual community” and the practicalities of writing and publication are held in balance, toward two functional objectives: 

(1) To revise and submit (for publication) an original seminar paper, thesis, or conference paper. 

Following Laura Belcher’s,
Writing Your Journal Article in Twelve Weeks
, “…(t)he goal of this course is to aid participants in taking their papers from classroom quality to journal quality and in overcoming anxiety about academic publishing in the process. 

(2) To critically survey the field of Black Studies through close reading of its journals—resulting in the production of a consulting report focused on the student’s chosen area. 

This year
Souls: Souls: A Critical Journal of Black Culture, Politics and Society
returns to Columbia University, where it was founded by Manning Marable in 1999. This course is designed to prepare IRAAS/AAADS to receive custodianship of the journal and reshape its Black radical intellectual project in response to the current moment and prospective futures. 

“Journal work is not only not an arbitrary undertaking, and it is certainly not simply the practice of putting competent scholarly articles into print (though that is avowedly its formal function); rather, it is distinctive for being an intellectual undertaking that is pursued with a certain horizon in mind, namely, the collective constitution of an imagined moral-intellectual community.” (David Scott, Small Axe 50 July 2016) 

Facilitating reflexive, critically engaged, and sustainable writing practices; and focusing on the past and future of
Souls: A Critical Journal of Black Politics, Culture, and Society;
our hybrid colloquy sessions will typically combine theoretical and methodological discussions, close readings of assigned journals, and ‘workshop’ elements— including sharing of work and occasional short in class writing. We will meet in-person and virtually. Small group work will be required.

• Department: African American and African Diaspora
• Instructor: Jafari S Allen
  Info
• 4 points

CORE STUDIO SEMESTER III

• Department: Architecture, Planning and Preservation
• 9 points

SYMBOLIC AI IN HEALTH CARE

This course is customized for 1st-year PhD and MA students in the biomedical informatics graduate program and also

open to other interested students at Columbia. It provides a detailed overview of symbolic methods.

• Department: Biomedical Informatics
• Instructor: Chunhua Weng
  h-index: 37 Info
• 3 points

CORPORATE FINANCE FOR ENGINEERS

Introduction to the economic evaluation of industrial projects. Economic equivalence and criteria. Deterministic approaches to economic analysis. Multiple projects and constraints. Analysis and choice under risk and uncertainty.

• Department: Industrial Engineering and Operations Research
• 3 points

OPTIMIZATION MODELS AND METHODS

A graduate course only for MS&E, IE, and OR students. This is also required for students in the Undergraduate Advanced Track. For students who have not studied linear programming. Some of the main methods used in IEOR applications involving deterministic models: linear programming, the simplex method, nonlinear, integer and dynamic programming.

• Department: Industrial Engineering and Operations Research
• Instructor: Yaren Kaya
  Info
• 3 points

OPTIMIZATION MODELS AND METHODS

A graduate course only for MS&E, IE, and OR students. This is also required for students in the Undergraduate Advanced Track. For students who have not studied linear programming. Some of the main methods used in IEOR applications involving deterministic models: linear programming, the simplex method, nonlinear, integer and dynamic programming.

• Department: Industrial Engineering and Operations Research
• Instructor: Yaren Kaya
  Info
• Instructor: Yuri Faenza
  h-index: 11 Info
• 3 points

ADVANCED STUDIO V

• Department: Architecture, Planning and Preservation
• 9 points

Conservation Policy

Prerequisites: Students should have completed at least one course in ecology, evolution or conservation biology. The purpose of this course is to arm emerging scientists with an understanding of conservation policy at the city, state, federal and international levels. Our focus will be on understanding the science that informs conservation policy, evaluating the efficacy of conservation policies for achieving conservation goals, and learning about the role that scientists play in forming policy.

• Department: Ecology, Evolution, and Environmental Biology
• Instructor: Viorel Popescu
  Info
• 3 points

APPLIED LINEAR ALGEBRA

Fundamentals of Linear Algebra including vector and Matrix algebra, solution of linear systems, existence and uniqueness, gaussian elimination, gauss-jordan elimination, the matrix inverse, elementary matrices and the LU factorization, computational cost of  solutions. Vector spaces and subspaces,  linear independence, basis and dimension. The 4 fundamental subspaces of a matrix. Orthogonal projection onto a subspace and solution of Linear Least Squares problems, unitary matrices, inner products,  orthogonalization algorithms and the QR factorization, applications. Determinants and applications. Eigen problems including diagonalization, symmetric matrices, positive-definite systems, eigen factorization and applications to dynamical systems and iterative maps. Introduction to the singular value decomposition and its applications.

• Department: Applied Physics and Applied Mathematics
• Instructor: Marc W Spiegelman
  CULPA: 15 Info
• 3 points

OPT MODELS & METHODS FOR FE

Linear, quadratic, nonlinear, dynamic, and stochastic programming. Some discrete optimization techniques will also be introduced. The theory underlying the various optimization methods is covered. The emphasis is on modeling and the choice of appropriate optimization methods. Applications from financial engineering are discussed.

• Department: Industrial Engineering and Operations Research
• Instructor: Jay Sethuraman
  CULPA: 10 Info
• 3 points

INTRO TO CLASSICAL JAPANESE I

Prerequisites: JPNS C1202 or the equivalent. Introduction to the fundamentals of classical Japanese grammar. Trains students to read Japanese historical and literary texts from the early period up to the 20th century.

• Department: East Asian Languages and Cultures
• Instructor: David B Lurie
  CULPA: 17 Info
• 3 points

INTRO TO ATMOSPHERIC SCIENCE

Prerequisites: advanced calculus and general physics, or the instructors permission. Basic physical processes controlling atmospheric structure: thermodynamics; radiation physics and radiative transfer; principles of atmospheric dynamics; cloud processes; applications to Earths atmospheric general circulation, climatic variations, and the atmospheres of the other planets.

• Department: Earth and Environmental Sciences
• Instructor: Lorenzo M Polvani
  CULPA: 6 h-index: 69 Info
• 3 points

HISTORY & THEORY OF PLANNING

• Department: Architecture, Planning and Preservation
• Instructor: Hiba Bou Akar
  h-index: 5 Info
• 3 points

SELECTNS FROM GREEK LIT

Prerequisites: GREK V1201 and V1202, or their equivalent. Since the content of the course changes from year to year, it may be taken in consecutive years.

• Department: Classics @Barnard
• Instructor: Nancy Worman
  CULPA: 23 Wikipedia Info
• 3 points

LATIN LIT PROSE SELECTIONS

Prerequisites: LATN V3012 or the equivalent. Since the content of this course changes from year to year, it may be repeated for credit.

• Department: Classics
• Instructor: Katharina Volk
  CULPA: 7 Info
• 3 points

Reading the works of Jamaica Kincaid

Reading works /Jamaica Ki

This seminar offers a sustained exploration of the fiction and nonfiction of Jamaica Kincaid, a Caribbean-American writer described by the novelist Tiphanie Yanique as “a fiction writer with a poet’s air and a journalist’s eye.” In Fall 2026, Kincaid will be a Writer-in-Residence at Columbia University, providing students with a rare opportunity to engage directly with her presence and intellectual contributions on campus. The course is organized in two parts: the first half examines Kincaid’s nonfiction—some of her essays, memoirs, and nature writing—while the second half traces her fiction from
At the Bottom of the River to See Now Then
. Central themes include colonialism and its aftermath, migration and exile, maternal relationships, ecological memory, and cultural displacement. This course emphasizes close reading, critical scholarship, and creative response. Students will be expected to contribute actively to seminar discussions and produce original work that bridges analytical and creative modes.

• Department: African American and African Diaspora
• Instructor: Edwidge Danticat
  Wikipedia Info
• 4 points

INTRODUCTN TO NUCLEAR SCIENCE

Introductory course is for individuals with an interest in medical physics and other branches of radiation science. Topics include basic concepts, nuclear models, semi-empirical mass formula, interaction of radiation with matter, nuclear detectors, nuclear structure and instability, radioactive decay process and radiation, particle accelerators, and fission and fusion processes and technologies.

• Department: Applied Physics and Applied Mathematics
• Instructor: Stephen L Ostrow
  Info
• 3 points

MATH METHODS IN CHEMICAL ENGIN

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.

• Department: Chemical Engineering
• Instructor: Vivian F McNeill
  Info
• 3 points

MATH METHODS IN CHEMICAL ENGIN

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.

• Department: Video Network
• Instructor: Robert G Bozic
  Info
• 3 points

Artificial Intelligence for OR and FE

AI for OR & FE

Introduces modern artificial intelligence (AI), focus on applications to operations and decision-making in domains such as healthcare, finance, energy systems, and supply chain management. Topics: machine learning, neural networks, large language models (LLMs), reinforcement learning, game theory, multi-agent systems, and agentic frameworks.

• Department: Industrial Engineering and Operations Research
• Instructor: Shipra Agrawal
  h-index: 24 Info
• 3 points

INFRASTRUCTURE SYSTEMS OPTIMIZATION

Engineering economic concepts. Basic spreadsheet analysis and programming skills. Subject to instructor's permission. Infrastructure design and systems concepts, analysis, and design under competing/conflicting objectives, transportation network models, traffic assignments, optimization, and the simplex algorithm.

• Department: Civil Engineering and Engineering Mechanics
• Instructor: Xuan Di
  h-index: 15 Info
• 3 points

DOSTOEVSKY,TOLSTOY & ENG NOVEL

A close reading of works by Dostoevsky (Netochka Nezvanova; The Idiot; A Gentle Creature) and Tolstoy (Childhood, Boyhood, Youth; Family Happiness; Anna Karenina; The Kreutzer Sonata) in conjunction with related English novels (Bronte's Jane Eyre, Eliot's Middlemarch, Woolf's Mrs. Dalloway). No knowledge of Russian is required.

• Department: Slavic Languages
• Instructor: Liza Knapp
  CULPA: 28 Info
• 3 points

Experimental Cultures

This seminar course will provide a punctual survey of trends and figures in the experimental cultures of East Central Europe.  Formations include the avant-gardes (first, postwar, and postcommunist); experimental Modernisms and Postmodernisms; alternative film, media, and visual culture; and formally inventive responses to exceptional historical circumstances.  Proceeding roughly chronologically from early twentieth to early twenty-first centuries, we will examine expressionist/surrealistic painting and drama; zenithist hybrid genres such as cinépoetry and proto-conceptualist writing; mixed-media relief sculpture; post-conceptual art; experimental and animated film; and avant-garde classical music.  In terms of theory, we will draw on regional and global approaches to artistic experimentation ranging from Marxist and other theories of value through discourses of the body and sexuality in culture to contemporary affect theory.  The course will be taught in English with material drawn primarily from Poland, Yugoslavia, Czechoslovakia, and Hungary.  Each session will include a lecture followed by discussion.

• Department: Slavic Languages
• 3 points

LOTUS SUTRA/E ASIAN BUDDHISM

• Department: Asian and Middle East @Barnard
• Instructor: David L Moerman
  CULPA: 18 Info
• 4 points

Indigenous Rights and Settler Colonialis

Indig Rts Settler Colonia

Course Description

This interdisciplinary course explores both the rights of Indigenous people in settler colonies as well as the complex historical and theoretical relationship between human rights and settler colonialism. We will pursue three lines of inquiry. The first critically explores how central political concepts of the international state system—sovereignty, property, territory, self-determination—entwine the histories of settler colonialism and human rights. The second charts the rise and mechanisms of the international Indigenous rights movement, in particular its activity at the United Nations leading to the Declaration on the Rights of Indigenous Peoples in 2007, and its contributions to ongoing debates on environmental and climate justice, group rights, natural resources and territorial autonomy, and cultural rights. The third unit interrogates settler state responses to the movement for Indigenous human rights, such as cooptation, recognition, and apology.

Through readings drawn from history, ethnography, political and critical theory, international relations, Native studies, law, and documents produced by intergovernmental organizations and NGOs, we will explore and deepen the tensions between human rights as a theory and practice and the political lives and aspirations of Indigenous peoples and activists. What technologies of rule—such as residential school systems and property law—do settler colonial states deploy to dispossess Indigenous peoples? How have Indigenous peoples used the international human rights regime to mobilize against such dispossession? How have these states resisted the global Indigenous rights movement? And can the human rights regime, rooted in the international state system, meaningfully contribute to anticolonial movements in liberal settler colonies? While we will touch on settler colonialism as it manifests around the globe, the course’s geographical focus will be on North America.

Course objectives

Throughout this course, you will:


Develop a historically-informed understanding of both international indigenous rights and settler colonialism as idea, practice, institution, and discourse;

Place the literature on human rights and settler colonialism into critical conversation in order to deepen existing conceptual problems and generate new ones;

Identify the main arguments in theoretical texts, legal and policy documents, and public debates

• Department: Institute for Study of Human Rights
• Instructor: Timothy Wyman-McCarthy
  Info
• 3 points

Agentic AI for Operations Research and F

Agentic AI for OR & FE

Introduces agentic AI systems for decision-making in operations research and financial engineering. Covers large language models, retrieval-augmented generation, conversational agents, semantic workflows, and streaming architectures. Emphasizes hands-on design and deployment of end-to-end agentic pipelines, integrating forecasting, optimization, and reasoning in operational problems and financial engineering applications. Applications include supply chain risk, energy systems, inventory management, and portfolio management.

• Department: Industrial Engineering and Operations Research
• Instructor: Agostino Capponi
  h-index: 19 Info
• 3 points

CONVERSATION IN SPANISH:PRACTICE AND ANA

CONVERSATION IN SP: PRACTICE &

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.

• Department: Latin American and Iberian Cultures
• Instructor: Guadalupe Ruiz-Fajardo
  CULPA: 13 h-index: 5 Info
• 3 points

BUSINESS CHINESE I

The Business Chinese I course is designed to prepare students to use Chinese in a present or future work situation. Students will develop skills in the practical principles of grammar, vocabulary, and cross-cultural understanding needed in today’s business world.

• Department: East Asian Languages and Cultures
• Instructor: Zhong Qi Shi
  Info
• 4 points

Sustainable Urban Systems Engineering

Introduction to urban data analytics (analysis and visualization of new types of ‘big’ urban data, statistical tools for urban data analysis, machine learning methods, data privacy). Conceptualization of cities as complex adaptive systems (coarse-graining of urban dynamics, network models for infrastructure interdependencies, agent-based urban simulation). Integrated urban infrastructure systems design (basic design solutions for coupled, people-centric, and climate-resilient civil infrastructure systems, Monte Carlo simulations for infrastructure scenario generation).

• Department: Civil Engineering and Engineering Mechanics
• Instructor: Markus Schlaepfer
  Info
• 3 points

Financial Accounting

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.

• Department: Mendelson Center
• Instructor: Jonathan Glover
  h-index: 28 Info
• 3 points

Assurance of Infinity: In the Caribbean

This seminar examines Afro-Atlantic and indigenous cosmologies, epistemologies, histories: conceptions of magic, space, time, and memory. These texts (visual, oral, written) present anti-colonial methodologies that challenge Western linear time and Cartesian space. They are a lens through which we can re-examine art history, history, academia, museums, and the archive. Beginning with Taíno sacred landscapes and BaKongo cosmograms and power entities, the course moves through early colonial Caribbean healing worlds, Kumina ritual practice, Palo Monte spirit technologies, and Vodou metaphysics in Kiskeya (Haiti and the Dominican Republic), through anthropological, theoretical, and artistic texts by Kimbwandende Fu-Kiau, Dianne Stewart, José Oliver, Pablo Gómez, Todd Ramón Ochoa, M. Jacqui Alexander, and others. In concert with readings, we will examine the visual culture of Afro-Caribbean and Indigenous spiritual systems and the art they have inspired, including work by artists José Bedia Valdés (Cuba), Firelei Báez (Dominican Republic), Maria Magdalena Campos Pons (Cuba), and Edouard Duval Carrié (Haiti). Through sustained attention to the visual cultures of Afro-Caribbean and indigenous spiritual practice, death worlds, possession, spirit matter, sacred pedagogy, and film, students will learn to think through indigenous Caribbean, West African, and Afro-Atlantic cosmologies, to interpret ritual and material culture as archives of knowledge, and to situate art, history, and anthropology within broader ontological frameworks. By the end of the semester, students will understand how Black and Indigenous conceptions of magic, space, time, and memory reconfigure how we come to understand the world around us and will produce an original research paper that examines these traditions.

• Department: African American and African Diaspora
• Instructor: Rachel Grace Newman
  Info
• 4 points

MEDIA CHINESE

Prerequisites: at least 3 years of intensive Chinese language training at college level and the instructor's permission. This advanced course is designed to specifically train students' listening and speaking skills in both formal and colloquial language through various Chinese media sources. Students view and discuss excerpts of Chinese TV news broadcasts, soap operas, and movie segments on a regular basis. Close reading of newspaper and internet articles and blogs supplements the training of verbal skills.

• Department: East Asian Languages and Cultures
• Instructor: Yuan-Yuan Meng
  CULPA: 33 Info
• 4 points

Harlem Renaiss. Aesthetics of Subjectivi

Harlem Renaiss.. & Aesthe

The objective of the course is to show that the orchestrators of the Harlem Renaissance intended to delineate aesthetic paradigms for African Americans to frame their subjective experiences. And that the orchestrators envisioned the Renaissance project through the formulation of standards for fiction, poetry, drama, music, and art that are cohesive with the socio-cultural experiences of African Americans during the first half of the 20th century. In the course, we will read the essays of Alain Locke, Jean Toomer, Zora Neale Hurston, Countee Cullen, Langston Hughes, and WEB DuBois. These essays were the media for the writers to present the aesthetic achievements of their time, while simultaneously promoting the ideals that fiction, poetry, drama, music, and art ought to follow. Close reading of the essays and class discussions will show how the Harlem Renaissance elaborated the criteria that African Americans may follow to derive meaning from their subjective experiences. Moreover, that the Harlem Renaissance shaped African American consciousness by providing the suitable aesthetic compass to understand its relation to the social and cultural institutions. Finally, the course explores how the Harlem Renaissance sought to define both, the aesthetic autonomy and distinctiveness of African Americans.

• Department: African American and African Diaspora
• Instructor: Vivaldi Jean-Marie
  Info
• 4 points

FOURTH YEAR CHINESE I

Prerequisites: Third Year Chinese or the equivalent The course is designed to help students master formal Chinese for professional or academic purposes. It includes reading materials and discussions of selections from Chinese media on 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.

• Department: East Asian Languages and Cultures
• Instructor: Ling Yan
  CULPA: 12 Info
• 4 points

Sumer: Art & Architecture

The fourth millennium BC was a time of tremendous innovation in monumental architecture, the organization of urban space and developments in the visual arts in southern Mesopotamia. As settlements grew into city-states, monumental architectural works transformed the landscape. New technologies of metallurgy, casting, the mechanical reproduction of images, stone sculpture and seal carvings emerged alongside the invention of writing, a technology first documented in the city of Uruk, the place of the setting of the Epic of Gilgamesh. Sculpted images and monuments began to be inscribed with texts that reveal a great deal about the ontological and agentive, the aesthetic and the order of the divine. The lecture introduces students to these extraordinary developments in early art and architecture of ancient Sumer (southern Iraq). Lectures will discuss votive statues, portraiture, image rituals, and the visual manifestation of the gods. The lectures also introduce the extraordinary developments in architecture and monuments.

• Department: Art History and Archaeology
• Instructor: Zainab Bahrani
  CULPA: 11 Wikipedia Info
• 3 points

FOURTH YEAR CHINESE ADV I

Prerequisites: CHNS W4006 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.

• Department: East Asian Languages and Cultures
• Instructor: Chen Wu
  CULPA: 3 h-index: 22 Info
• 4 points

FOURTH YEAR JAPANESE I

Prerequisites: JPNS W4006 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.

• Department: East Asian Languages and Cultures
• Instructor: Kyoko M Loetscher
  CULPA: 3 Info
• 4 points

TOPICS in MICROHISTORY

TOPICS IN MICROHISTORY

In the 1970s and 1980s a group of young Italian historians transformed the methods of historical inquiry and narrative. This class explores the origins, the diffusion, as well as the debate around Italian Microhistory across Europe and the United States. In particular, we will focus on “cultural” and “social” Microhistory and its evolution in Italy, France, and the US. We will read masterpieces such as Carlo Ginzburg’s
The Cheese and the Worms
, as well as Nathalie Zemon Davis’s
The Return of Martin Guerrre.
Also, we will analyze the current application of microhistorical methods to contemporary global history and the genre of biography. Topics include pre-modern popular culture and literacy, minority and marginality, the Inquisition, individual and collective identities, and the relation between the pre-modern Mediterranean, Europe and the world.
In Italian.

• Department: Italian
• Instructor: Pier Mattia Tommasino
  CULPA: 7 Info
• 3 points

MATHEMATICL METHODS OF PHYSICS

Prerequisites: PHYS UN3003 and PHYS UN3007 and differential and integral calculus; linear algebra; or the instructor's permission. This course will present a wide variety of mathematical ideas and techniques used in the study of physical systems. Topics will include: ordinary and partial differential equations; generalized functions; integral transforms; Green’s functions; nonlinear equations, chaos, and solitons; Hilbert space and linear operators; Feynman path integrals; Riemannian manifolds; tensor analysis; probability and statistics. There will also be a discussion of applications to classical mechanics, fluid dynamics, electromagnetism, plasma physics, quantum mechanics, and general relativity.

• Department: Physics
• Instructor: Sebastian Mizera
  Info
• 3 points

COMP NEURO: CIRCUITS IN BRAIN

The biophysics of computation: modeling biological neurons, the Hodgkin-Huxley neuron, modeling channel conductances and synapses as memristive systems, bursting neurons and central pattern generators, I/O equivalence and spiking neuron models. Information representation and neural encoding: stimulus representation with time encoding machines, the geometry of time encoding, encoding with neural circuits with feedback, population time encoding machines. Dendritic computation: elements of spike processing and neural computation, synaptic plasticity and learning algorithms, unsupervised learning and spike time-dependent plasticity, basic dendritic integration. Projects in MATLAB.

• Department: Electrical Engineering
• Instructor: Aurel A Lazar
  h-index: 53 Info
• 3 points

PROTECTN OF INDUST/INTELL PROP

Exposes scientists and engineers to the development, protection, and exploitation of intellectual property rights. Legal processes for obtaining and defending intellectual property rights are detailed. Best practices for innovation and commercialization are explored. Methods for valuation and monetization of intellectual property are illustrated through application of basic accounting and financial principles to case studies.

• Department: Chemical Engineering
• Instructor: Kenneth Spall
  Info
• 3 points

ECON OF UNCERTAINTY & INFORMTN

Prerequisites: ECON UN3211 and ECON UN3213 and STAT UN1201 Topics include behavior uncertainty, expected utility hypothesis, insurance, portfolio choice, principle agent problems, screening and signaling, and information theories of financial intermediation.

• Department: Economics
• Instructor: Pierre-Andre Chiappori
  Wikipedia h-index: 64 Info
• 3 points

HUMANS & THE CARBON CYCLE

Prerequisites: One semester of college-level calculus, college-level chemistry. College-level physics or geoscience. Or instructor’s permission. The accelerating climate change of the current day is driven by humanity’s modifications to the global carbon cycle. This course introduces the basic science of the global carbon cycle, focusing on large-scale processes occurring on annual to centennial timescales. Students will leave this course with an understanding of the degree to which the global carbon cycle is understood and quantified and the key uncertainties that are the focus of current research. We will build an understanding of the potential pathways and the significant challenges to limiting global warming to 2oC as intended by the 2015 Paris Climate Agreement. 

The course will begin with a brief review of climate science basics and the role of CO2 in climate and climate change (weeks 1-2). Next, the fundamental processes of the ocean and the terrestrial biosphere carbon sinks will be covered (weeks 3-7). In weeks 8-10, our focus will be the drivers of current and future anthropogenic carbon emissions. In weeks 11-12, we will consider the potential for engineered sinks to contribute to global budgets. In weeks 13-14, students will present their final projects, and we will review the course content in the context of the December release of the current year’s Global Carbon Budget.

• Department: Earth and Environmental Sciences
• Instructor: Galen A McKinley
  CULPA: 1 Wikipedia h-index: 32 Info
• 3 points

QUANTUM MECHANICS I

Prerequisites: PHYS UN3003 and PHYS UN3007 Formulation of quantum mechanics in terms of state vectors and linear operators. Three dimensional spherically symmetric potentials. The theory of angular momentum and spin. Identical particles and the exclusion principle. Methods of approximation. Multi-electron atoms.

• Department: Physics
• Instructor: Emlyn W Hughes
  CULPA: 18 Info
• 3 points

JAPANESE BUDDHIST VISUAL CULTR

This course, designed for advanced undergraduate and graduate students in the fields of East Asian Studies, Religion, and Art History, examines the principal modes, media, and contexts of visual culture in Japanese Buddhist history. The course is not designed as a survey of Japanese Buddhist art either in terms of media or chronology but rather an exploration, through the analysis of selected case studies, of the modalities of perception, materiality, and reception that distinguish the form and function of visual media in Japanese Buddhist contexts.  Students are expected to have completed preliminary coursework in relevant areas of East Asian history, religion, or art history. The course is organized around selected objects in the collection of the Metropolitan Museum of Art and will include meetings at the Met for viewing and analysis of objects in the galleries and in storage.

• Department: Asian and Middle East @Barnard
• Instructor: David L Moerman
  CULPA: 18 Info
• 3 points

FUNDAMNTLS OF URB DIGITAL DES

• Department: Architecture, Planning and Preservation
• Instructor: Sybil Wa
  Info
• 1.5 points

ARCH DRWG REP I

• Department: Architecture, Planning and Preservation
• Instructor: Amelyn Ng
  Info
• 3 points

THERMAL & STATISTICAL PHYSICS

Prerequisites: PHYS GU4021 or the equivalent. Thermodynamics, kinetic theory, and methods of statistical mechanics; energy and entropy; Boltzmann, Fermi, and Bose distributions; ideal and real gases; blackbody radiation; chemical equilibrium; phase transitions; ferromagnetism.

• Department: Physics
• Instructor: Tanya Zelevinsky
  CULPA: 9 Wikipedia Info
• 3 points

APPLIED QUANTUM MECHANICS

Prerequisites: (PHYS GU4021 and PHYS GU4022) In this course, we will learn how the concepts of quantum mechanics are applied to real physical systems, and how they enable novel applications in quantum optics and quantum information. We will start with microscopic, elementary quantum systems – electrons, atoms, and ions - and understand how light interacts with atoms. Equipped with these foundations, we will discuss fundamental quantum applications, such as atomic clocks, laser cooling and ultracold quantum gases - a synthetic form of matter, cooled down to just a sliver above absolute zero temperature. This leads us to manybody quantum systems. We will introduce the quantum physics of insulating and metallic behavior, superfluidity and quantum magnetism – and demonstrate how the corresponding concepts apply both to real condensed matter systems and ultracold quantum gases. The course will conclude with a discussion of the basics of quantum information science - bringing us to the forefront of today’s quantum applications.

• Department: Physics
• Instructor: Sebastian Will
  h-index: 18 Info
• 3 points

ARCH-PLANNING-PRESERVATION-NY

• Department: Architecture, Planning and Preservation
• Instructor: Rosalie Genevro
  Info
• 3 points

ISSUES IN EARLY CHINESE CIV

• Department: East Asian Languages and Cultures
• Instructor: Feng Li
  CULPA: 12 Wikipedia Info
• 4 points

CCCP ARCH COLLOQUIUM I

• Department: Architecture, Planning and Preservation
• Instructor: Felicity Scott
  Info
• 3 points

FOURIER ANALYSIS

Prerequisites: three terms of calculus and linear algebra or four terms of calculus. Prerequisite: three terms of calculus and linear algebra or four terms of calculus. Fourier series and integrals, discrete analogues, inversion and Poisson summation formulae, convolution. Heisenberg uncertainty principle. Stress on the application of Fourier analysis to a wide range of disciplines.

• Department: Mathematics
• Instructor: Simon Brendle
  CULPA: 1 Wikipedia Info
• 3 points

BIOTECHNOLOGY

Prerequisites: genetics or molecular biology. The course covers techniques currently used to explore and manipulate gene function and their applications in medicine and the environment. Part I covers key laboratory manipulations, including DNA cloning, gene characterization, association of genes with disease, and methods for studying gene regulation and activities of gene products. Part II also covers commercial applications, and includes animal cell culture, production of recombinant proteins, novel diagnostics, high throughput screening, and environmental biosensors.

• Department: Biological Sciences
• 3 points

Transformative Concepts in Systems Biolo

Systems biology approaches are rapidly transforming the technological and conceptual foundations of research across diverse areas of biomedicine. In this course we will discuss the fundamental developments in systems biology with a focus on two important dimensions: (1) the unique conceptual frameworks that have emerged to study systems-level phenomena and (2) how these approaches are revealing fundamentally new principles that govern the organization and behavior of cellular systems. Although there will be much discussion of technologies and computational approaches, the course will emphasize the conceptual contributions of the field and the big questions that lie ahead. Lectures and discussions of primary literature will enable students to scrutinize research in the field and to internalize systems biology thinking in their own research. To make this a concrete endeavor, the students will develop mini-NIH-style grant proposals that aims to study a fundamental problem/question using systems biology approaches. The students will then convene an in-class NIH-style review panel that will assess the strengths and weaknesses of these proposals. In addition, the students will have the opportunity to defend their proposals in a live presentation to the class. The course is open to graduate students in Biological Sciences. Advanced undergraduates in biological sciences, and other graduate students with background in biology from other disciplines, including physics, chemistry, computer science, and engineering may also attend after consulting with the instructor.

• Department: Biological Sciences
• Instructor: Saeed Tavazoie
  Info
• 3 points

Poets, Rebels, Exiles: 100 Years of Russ

POETS, REBELS, EXILES

Poets, Rebels, Exiles examines the successive generations of the most provocative and influential Russian and Russian Jewish writers and artists who brought the cataclysm of the Soviet and post-Soviet century to North America. From Joseph Brodsky—the bad boy bard of Soviet Russia and a protégé of Anna Akhmatova, who served 18 months of hard labor near the North Pole for social parasitism before being exiled—to the most recent artistic descendants, this course will interrogate diaspora, memory, and nostalgia in the cultural production of immigrants and exiles.

• Department: Slavic Languages
• Instructor: Anna Katsnelson
  Info
• 3 points

CCCP ARCH THESIS I

• Department: Architecture, Planning and Preservation
• 9 points

NEURAL NETWRKS & DEEP LEARNING

Developing features - internal representations of the world, artificial neural networks, classifying handwritten digits with logistics regression, feedforward deep networks, back propagation in multilayer perceptrons, regularization of deep or distributed models, optimization for training deep models, convolutional neural networks, recurrent and recursive neural networks, deep learning in speech and object recognition.

• Department: Electrical Engineering
• Instructor: Zoran Kostic
  CULPA: 1 h-index: 24 Info
• 3 points

INTRO MODERN ALGEBRA I

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.

• Department: Mathematics
• Instructor: Giulia Sacca
  Info
• 3 points

INTRO MODERN ALGEBRA II

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.

• Department: Mathematics
• 3 points

WORKSHP ON WEALTH & INEQUALITY

Participants may elect to enroll in the 1-credit CWI independent study offered through the Sociology Department. CWI takes place Thursdays from 2-4pm in Knox Hall, room 509. The course ID for Fall 2025 is SOCI4043GU.

The Center for Wealth and Inequality (CWI), in this course, is a forum for students interested in social science topics broadly related to inequality. In particular, it will provide an opportunity for students to read and discuss the works presented in the weekly CWI seminar series, while also sharing and refining their own works in progress.  The CWI seminar series is sponsored by Columbia University’s Institute for Social and Economic Research Policy (ISERP) and is devoted to the investigation of social and economic inequality.  The seminar invites speakers from both within and outside of Columbia to present recent papers covering a wide range of topics pertaining to inequality, such as poverty, labor market behavior, education, and the family.  The research topics and methodologies are at the cutting edge of the interdisciplinary study of wealth and inequality, as the CWI seminar invites speakers from multiple social science disciplines and fields. Past speakers include Annette Lareau, Adam Gamoran, Timothy Smeeding, Lisa Kahn, Mario Small, Rob Warren and Florencia Torche, among numerous others.

The primary preparation for these gatherings is to read the papers slated for presentation, whether written by an outside speaker or a student within the course. Students will meet to constructively critique these papers collectively, raising key questions and concepts for discussion and debate.  One student will serve as the discussion leader each week by kicking off the dialogue.  This student also will have the opportunity to prepare a review of the paper, if desired.  When discussing CWI seminar papers, the product of each meeting will be a shortlist of pertinent questions for the visiting speaker, which participants will be encouraged to ask during the Q&A following each seminar. When focusing on student papers, participants will provide detailed comments geared towards supporting further development of our peers’ work. We regularly will be joined by the CWI presenters.

The spirit behind the student independent study is one of collective student growth and learning through semi-structured discussion.  While the course will pose a relatively

• Department: Sociology
• 1 points

REPRESENTATNS OF FINITE GROUPS

Prerequisites: MATH UN2010 and MATH GU4041 or the equivalent. Finite groups acting on finite sets and finite dimensional vector spaces. Group characters. Relations with subgroups and factor groups. Arithmetic properties of character values. Applications to the theory of finite groups: Frobenius groups, Hall subgroups and solvable groups. Characters of the symmetric groups. Spherical functions on finite groups.

• Department: Mathematics
• Instructor: Robert D Friedman
  CULPA: 44 Info
• 3 points

Augmented Creativity: practical uses of

Augmented Creativity: AI

We are entering a new age of creativity, where generative AI is transforming how artists and creators work. This course invites undergraduate and graduate students at Columbia's School of the Arts to explore the powerful intersection of AI and creative practice. Through hands-on experimentation with AI tools—ranging from large language models (LLMs) to image and video generators—students will unlock new creative potential across ideation, visual development, and storytelling.

The course emphasizes how AI can augment existing creative methods, from generating ideas and developing personas to blending AI with traditional storytelling techniques. Students will also critically engage with the ethical implications of using AI in art. Culminating in a speculative design project, this course prepares students to envision and prototype the future of creative practice, where AI becomes a true collaborator in the artistic process.

• Department: Film
• 3 points

ARCH ELECTIVE INTERNSHIP

• Department: Architecture, Planning and Preservation
• Instructor: Karen Cover
  Info
• 1.5 points

GLOBAL ASSMT-REMOTE SENSING

Prerequisites: Course Cap 20 students. Priority given to graduate students in the natural sciences and engineering. Advanced level undergraduates may be admitted with the instructors permission. Calculus I and Physics I & II are required for undergraduates who wish to take this course. General introduction to fundamentals of remote sensing; electromagnetic radiation, sensors, interpretation, quantitative image analysis and modeling. Example applications in the Earth and environmental sciences are explored through the analysis of remote sensing imagery in a state-or-the-art visualization laboratory.

• Department: Earth and Environmental Sciences
• Instructor: Christopher Small
  CULPA: 1 h-index: 47 Info
• 3 points

SENIOR SEMINAR

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.

• Department: Philosophy @Barnard
• Instructor: Taylor Carman
  CULPA: 40 Wikipedia h-index: 19 Info
• 4 points

UP ELECT INTERNSHIP

• Department: Architecture, Planning and Preservation
• Instructor: Douglas Woodward
  Info
• 1.5 points

TOPOLOGY

Prerequisites: (MATH UN1202 and MATH UN2010) and rudiments of group theory (e.g. MATH GU4041). MATH UN1208 or MATH GU4061 is recommended, but not required. Metric spaces, continuity, compactness, quotient spaces. The fundamental group of topological space. Examples from knot theory and surfaces. Covering spaces.

• Department: Mathematics
• Instructor: Soren Galatius
  Info
• 3 points

SENIOR ESSAY

A substantial paper, developing from an Autumn workshop and continuing in the Spring under the direction of an individual advisor. Open only to Barnard senior philosophy majors.

• Department: Philosophy @Barnard
• Instructor: Caroline D Bowman
  Info
• 3 points

CREATING ID-CONTEMP UKRN CULTR

This course presents and examines post-Soviet Ukrainian literature. Students will learn about the significant achievements, names, events, scandals and polemics in contemporary Ukrainian literature and will see how they have contributed to Ukraine’s post-Soviet identity. Students will examine how Ukrainian literature became an important site for experimentation with language, for providing feminist perspectives, for engaging previously-banned taboos and for deconstructing Soviet and Ukrainian national myths. Among the writers to be focused on in the course are Serhiy Zhadan, Yuri Andrukhovych, Oksana Zabuzhko and Taras Prokhasko. Centered on the most important successes in literature, the course will also explore key developments in music and visual art of this period. Special focus will be given to how the 2013/2014 Euromaidan revolution and war are treated in today’s literature. By also studying Ukrainian literature with regards to its relationship with Ukraine’s changing political life, students will obtain a good understanding of the dynamics of today’s Ukraine and the development of Ukrainians as a nation in the 21st century. The course will be complemented by audio and video presentations. Entirely in English with a parallel reading list for those who read Ukrainian.

• Department: Slavic Languages
• Instructor: Mark Andryczyk
  Info
• 3 points

MECHATRONICS & EMBEDDED MICRO

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.

• Department: Mechanical Engineering
• Instructor: Enrico Zordan
  h-index: 5 Info
• 3 points

INTRO-GENOMIC INFO SCI & TECH

INTRO GENOMIC INFO SCI & TECH

Introduction to computational biology with emphasis on genomic data science tools and methodologies for analyzing data, such as genomic sequences, gene expression measurements and the presence of mutations. Applications of machine learning and exploratory data analysis for predicting drug response and disease progression. Latest technologies related to genomic information, such as single-cell sequencing and CRISPR, and the contributions of genomic data science to the drug development process.

• Department: Electrical Engineering
• Instructor: Tai-Hsien Ou Yang
  Info
• 3 points

INTRO MODERN ANALYSIS I

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.

• Department: Mathematics
• Instructor: Sven Hirsch
  Info
• 3 points

INTRO MODERN ANALYSIS I

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.

• Department: Mathematics
• Instructor: Sven Hirsch
  Info
• 3 points

Chinese Art: Center and Periphery

Chinese Art: Center& Peri

This course introduces you to the rich and diverse tradition of Chinese art by focusing on materials and techniques. We will discuss a wide array of artistic media situated in distinct cultural contexts, examining bronzes, jade, ceramics, paintings, sculptures, and textiles in the imperial, aristocratic, literary, religious, and commercial milieus in which they were produced. In addition to developing your skills in visual-material analysis, this course will also acquaint you with the diverse cultures that developed in China’s center and periphery during its five thousand (plus) years of history. Emphasis will be placed on understanding how native artistic traditions in China interacted with those in regions such as the Mongolian steppe, Tibetan plateau, and Central Asia.

• Department: Art History and Archaeology
• Instructor: Jin Xu
  Info
• 3 points

INTRO MODERN ANALYSIS II

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.

• Department: Mathematics
• Instructor: Ovidiu Savin
  CULPA: 22 Wikipedia Info
• 3 points

INTRODUCTION TO CULTURAL HERITAGE. AN IT

INTRO TO CULTURAL HERITIT

This seminar will examine the concept of cultural heritage as a body of goods, tangible and intangible, that come to us from the past - sometimes from antiquity, sometimes from more recent historical periods - and for which we are responsible for the present and future generations. The environment is an important part of cultural heritage too, with nature and its peculiar beauties. Similarly, practices, traditions, crafts and customs are a crucial component of cultural heritage. Over time, cultural heritage has become an increasingly broad and complex category: experts, scientists and professionals involved continue to multiply, and the disciplines continue to specialize. Even the very concept of cultural heritage is quite dynamic and frequently modified and reinterpreted. Based on an anthropological perspective and within the framework of a cultural heritage considered among the most valuable in the arts, both visual and literary, Italy’s artistic, archaeological, library and archival treasures will be a regular source of analysis and discussion. This course will examine ways in which we can understand cultural heritage through the intersections of several components: identity, nationalism, colonialism, ethnicity, gender, and religion, just to mention a few. Students will take into account several elements: how regional and international agencies and policies operate and interact with each other, the many threats to cultural heritage (wars and conflicts, natural disasters, climate change, illicit trafficking, and some forms of tourism), and the role of sustainability. The course will encourage students to acquire analytical reasoning and critical thinking, through a combination of textual and visual interpretation and class discussion. There are no pre-requisites for this course.
In English

• Department: Italian
• Instructor: Barbara Faedda
  Info
• 3 points

Tropical Biology

Study ecology, evolution, and conservation biology in one of the world’s most biologically spectacular settings, the wildlife-rich savannas of Kenya. Although we will meet have a few meetings during the fall semester, the majority of the coursework will be completed during a 16 day field trip to Kenya during winter break. Students will spend their time immersed in an intensive field experience gaining sophisticated training in fieldwork and biological research. Note that there is a lab fee to cover all in-country expenses, and students are also responsible for the cost of airfare to and from Kenya.

• Department: Ecology, Evolution, and Environmental Biology
• Instructor: Dustin Rubenstein
  h-index: 36 Info
• 4 points

HONORS COMPLEX VARIABLES

Prerequisites: (MATH UN1207 and MATH UN1208) or MATH GU4061 A theoretical introduction to analytic functions. Holomorphic functions, harmonic functions, power series, Cauchy-Riemann equations, Cauchy's integral formula, poles, Laurent series, residue theorem. Other topics as time permits: elliptic functions, the gamma and zeta function, the Riemann mapping theorem, Riemann surfaces, Nevanlinna theory.

• Department: Mathematics
• Instructor: Francesco Lin
  Info
• 3 points

The Future of Personal Health Assistant:

This course integrates the principles of database systems, AI agents, and health informatics. Students will gain expertise in the following areas:


Multimodal Data Engineering:
Ingesting, cleaning, and normalizing heterogeneous data (time-series sensor data, unstructured clinical notes, structured FHIR records)

Agentic Architectures:
Designing LLM-based agents capable of tool use (function calling), planning, and memory management (LangChain, LlamaIndex).

Retrieval-Augmented Generation (RAG):
Implementing vector databases and semantic search strategies optimized for personal health contexts.

Privacy and Ethics:
Understanding HIPAA compliance, differential privacy, and the ethical implications of AI "hallucinations" in health advice.

HCI for Health:
Designing applications and interfaces that foster trust, explainability, and engagement in self-tracking and patient-provider communication.

Domain Knowledge:
Understanding the basics of chronic disease management, personal health monitoring, and clinical decision support.

• Department: Biomedical Informatics
• 3 points

INORGANIC CHEMISTRY

Prerequisites: (CHEM UN1403 and CHEM UN1404) or (CHEM UN1604) or (CHEM UN2045 and CHEM UN2046) , or the equivalent. Principles governing the structure and reactivity of inorganic compounds surveyed from experimental and theoretical viewpoints. Topics include inorganic solids, aqueous and nonaqueous solutions, the chemistry of selected main group elements, transition metal chemistry, metal clusters, metal carbonyls, and organometallic chemistry, bonding and resonance, symmetry and molecular orbitals, and spectroscopy.

• Department: Chemistry
• Instructor: Jonathan S Owen
  CULPA: 7 h-index: 40 Info
• 4.5 points

CELLULAR/MOLECULAR IMMUNOLOGY

Prerequisites: Two semesters of a rigorous, molecularly-oriented, introductory biology course, such as UN2005 (
Inc.,
 
Biochemistry of DNA & Proteins, basic Genetics, Metabolism & Cell Physiology
) and UN2006 (
Cell biology, inc. intra-cellular transport, phagocytosis, protein regulation, as well as Inter-cellular communication, inc., cell-cell contact, receptors/ligands & transporters
).  This course will cover the integration of innate and adaptive immune systems, as well as how immune response contributes to health and disease (
e.g., Infectious disease, allergies, autoimmunity, immune deficiencies, the microbiome and cancer immunotherapy
).   Students will also become familiar with important immunological methods, which will provide an opportunity to explore some of the current literature.   Sophomores will require permission from their advisor to enroll, and graduate student will require the instructor’s permission to enroll.  SPS, Barnard, and TC students may register for this course with the instructor’s approval on a Registration Adjustment Form (Add/Drop form), which can be downloaded ( 
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
) and then returned to the office of the registrar.

• Department: Biological Sciences
• Instructor: Christian W Schindler
  CULPA: 3 Info
• 3 points

Latin American Artists from Independence

The course looks at works produced in the more than 20 countries that make up Latin America. Our investigations will take us from the Southern Cone nations of South America, up through Central American and the Caribbean, to Mexico to the north. We will cover styles from the colonial influences present in post-independence art of the early 19th century, to installation art found at the beginning of the 21st century. Along the way we will consider such topics as, the relationship of colonial style and academic training to forging an independent artistic identity; the emergence and establishment of a modern canon; experimentations in surrealism, neo-concretism, conceptual art, and performance. We will end the course with a consideration of Latinx artists working in the U.S.

• Department: Art History and Archaeology
• Instructor: Kellie Jones
  CULPA: 3 Wikipedia Info
• 3 points

BOCCACCIO'S DECAMERON

While focusing on the Decameron, this course follows the arc of Boccaccios career from the Ninfale Fiesolano, through the Decameron, and concluding with the Corbaccio, using the treatment of women as the connective thread. The Decameron is read in the light of its cultural density and contextualized in terms of its antecedents, both classical and vernacular, and of its intertexts, especially Dantes Commedia, with particular attention to Boccaccios masterful exploitation of narrative as a means for undercutting all absolute certainty. Lectures in English; text in Italian, although comparative literature students who can follow with the help of translations are welcome.

• Department: Italian
• Instructor: Teodolinda Barolini
  CULPA: 7 Wikipedia Info
• 3 points

BOCCACCIO'S DECAMERON

BOCCACCIO'S DECAMERON(ENGLISH)

While focusing on the Decameron, this course follows the arc of Boccaccios career from the Ninfale Fiesolano, through the Decameron, and concluding with the Corbaccio, using the treatment of women as the connective thread. The Decameron is read in the light of its cultural density and contextualized in terms of its antecedents, both classical and vernacular, and of its intertexts, especially Dantes Commedia, with particular attention to Boccaccios masterful exploitation of narrative as a means for undercutting all absolute certainty. Lectures in English; text in Italian, although comparative literature students who can follow with the help of translations are welcome.

• Department: Italian
• Instructor: Teodolinda Barolini
  CULPA: 7 Wikipedia Info
• 3 points

HP ELECT INTERNSHIP

• Department: Architecture, Planning and Preservation
• Instructor: Sarahgrace Godwin
  Info
• 1.5 points

Rebel Literature: Politics and the Novel

“Quand on refuse, on dit non”, said Ivorian novelist Ahmadou Kourouma towards the end of his life. Taking this stance as a starting point, this seminar will explore, through the lens of the novel, major political upheavals in the Francophone world during the 1950s, 60s and 70s. We will shed light on the history of decolonization, May 68, the feminist movement, and struggles against racism and injustice by delving into the imaginary worlds of six leading francophone novelists: Marguerite Duras, Ahmadou Kourouma, Assia Djebar, Hélène Cixous, George Perec and Édouard Glissant.

• Department: French
• Instructor: Emmanuel Kattan
  Info
• 3 points

RES SEM IN BIOMED INFORMATICS

Prerequisite: open to public. Presentations by medical informatics faculty and invited international speakers in medical informatics, computer science, nursing informatics, library science, and related fields.

• Department: Biomedical Informatics
• Instructor: Sarah A Rossetti
  Info
• 1 points

Applied Analysis

Elementary introduction to fundamental concepts and techniques in classical analysis; applications of such techniques in different topics in applied mathematics. Brief review of essential concepts and techniques in elementary analysis; elementary properties of metric and normed spaces; completeness, compactness, and their consequences; continuous functions and their properties; Contracting Mapping Theorem and its applications; elementary properties of Hilbert and Banach spaces; bounded linear operators in Hilbert spaces; Fourier series and their applications.

• Department: Applied Physics and Applied Mathematics
• Instructor: Liliana Borcea
  Info
• 3 points

QUANTUM PHYSICS OF MATTER

Basic theory of quantum mechanics, well and barrier problems, the harmonic oscillator, angular momentum identical particles, quantum statistics, perturbation theory and applications to the quantum physics of atoms, molecules, and solids.

• Department: Applied Physics and Applied Mathematics
• Instructor: Alexander Gaeta
  Wikipedia h-index: 89 Info
• 3 points

A Better Planet by Design (MS)

Foundational for the Master of Science in Earth and Environmental Engineering degree.  Provides broader understanding of engineering tools critical/ essential to success in large-scale, engineering projects.  Divided into two parts: Module on global/regional flows, and systems approach, and Module on Engineering Principles in Earth & Environmental Engineering. Guest lectures on several topics will be provided.

• Department: Earth and Environmental Engineering
• Instructor: Luana Llanes
  Info
• 3 points

FOREST ECOLOGY

• Department: Ecology, Evolution, and Environmental Biology
• 4 points

NARRATIVES OF MODERNITY

In revisiting two major authors of the Italian modern novel, the course investigates the relation between fiction and the conditions of modernity (personal risk, anxiety and lack of control on reality, secularization, to name a few). Special attention will be paid to the response of the novelistic discourse to modernity, and to Italy's peculiarly peripheral position in the modern world. Primary texts will be read in Italian, while theoretical references will be in English.

• Department: Italian
• Instructor: Elizabeth Leake
  Info
• 3 points

CRYSTALLOGRAPHY

A first course on crystallography. Crystal symmetry, Bravais lattices, point groups, space groups. Diffraction and diffracted intensities. Exposition of typical crystal structures in engineering materials, including metals, ceramics, and semiconductors. Crystalline anisotropy.

• Department: Applied Physics and Applied Mathematics
• Instructor: William Bailey
  CULPA: 12 Info
• 3 points

SUSTAINABILITY MANAGEMENT

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.

• Department: Sustainability Management
• Instructor: Steven Cohen
  CULPA: 1 Wikipedia h-index: 21 Info
• 3 points

SUSTAINABILITY MANAGEMENT

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.

• Department: Sustainability Management
• 3 points

SUSTAINABILITY MANAGEMENT

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.

• Department: Sustainability Management
• 3 points

SUSTAINABILITY MANAGEMENT

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.

• Department: Sustainability Management
• Instructor: Paul Washington
  Info
• 3 points