PROF DEVELOPMENT&LEADERSHIP

PDL for xMS

The PDL course aims to enhance and expand Columbia Engineering graduate students' interpersonal, professional, and leadership skills, through five core sessions, covering (1) in-person communication skills; (2) resume; (3) business writing; (4) social media and the job search; and (5) academic and professional ethics and integrity. ENGI E4000 also requires 5 elective sessions to further students' development based on their personal interests. Students must select at least one life management elective and one interview elective. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP

The PDL course aims to enhance and expand Columbia Engineering graduate students' interpersonal, professional, and leadership skills, through five core sessions, covering (1) in-person communication skills; (2) resume; (3) business writing; (4) social media and the job search; and (5) academic and professional ethics and integrity. ENGI E4000 also requires 5 elective sessions to further students' development based on their personal interests. Students must select at least one life management elective and one interview elective. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP

PDL CLEARANCE

The PDL course aims to enhance and expand Columbia Engineering graduate students' interpersonal, professional, and leadership skills, through five core sessions, covering (1) in-person communication skills; (2) resume; (3) business writing; (4) social media and the job search; and (5) academic and professional ethics and integrity. ENGI E4000 also requires 5 elective sessions to further students' development based on their personal interests. Students must select at least one life management elective and one interview elective. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• Instructor: Ryan Day
  Info
• 0 points

FILM AND MEDIA THEORY

This course offers a historical and critical overview of film and media theory from its origins up to the present.

• Department: Film
• Instructor: Nico Baumbach
  Info
• 3 points

SOUND:Music, Math, and Mind

This course is a detailed and hands-on (ears-on) exploration of the fundamental physical, physiological, and psychological aspects of sound. Topics covered include sound waves and their physical nature, the propagation and speed of sound in different mediums, geological and other non-living sound sources, animal and insect sound generating strategies, sound perception mechanisms and abilities in different species, the physiology of human hearing and the structure of the human ear, psycho-acoustics and human sound perception, sonic illusions and tricks of the ear.

In-class experiments and research make up the majority of the class. Each student will design and lead at least one experiment/demo session. Students also respond to creative weekly prompts about sound topics on courseworks.

We also have visits with a number of special guests during the term.

• Department: Visual Arts
• Instructor: David L Sulzer
  Wikipedia Info
• 3 points

GENEALOGIES OF FEMINISM

Genealogies of Feminism:
 
Course focuses on the development of a particular topic or issue in feminist, queer, and/or WGSS scholarship. Open to graduate students and advanced undergraduates, though priority will be given to students completing the ISSG graduate certificate. Topics differ by semester offered, and are reflected in the course subtitle. For a description of the current offering, please visit the link in the Class Notes.

• Department: Women's and Gender Studies
• Instructor: Julia Bryan-Wilson
  Wikipedia Info
• 4 points

Foundation of Aerospace Engineering

FOUNDATION OF AEROSPACE E

History and development of aviation and spaceflight; application of fundamental physics to analyze atmospheric and space flight; core principles of aerodynamics, propulsion, and flight mechanics; basic aircraft performance and stability characteristics; influence of space and atmospheric environment on vehicles; key lightweight materials and structural design considerations in aerospace applications. Course intended for graduate students. Students who have previously taken AERO E3001 may not take AERO E4001.

• Department: Civil Engineering and Engineering Mechanics
• Instructor: Marianna Maiaru
  Info
• 3 points

THE ANCIENT EMPIRES

The principal goal of this course is to examine the nature and histories of a range of early empires in a comparative context. In the process, we will examine influential theories that have been proposed to account for the emergence and trajectories of those empires. Among the theories are the core-periphery, world-systems, territorial-hegemonic, tributary-capitalist, network, and IEMP approaches. Five regions of the world have been chosen, from the many that could provide candidates: Rome (the classic empire), New Kingdom Egypt, Qin China, Aztec Mesoamerica, and Inka South America. These empires have been chosen because they represent a cross-section of polities ranging from relatively simple and early expansionist societies to the grand empires of the Classical World, and the most powerful states of the indigenous Americas. There are no prerequisites for this course, although students who have no background in Anthropology, Archaeology, History, or Classics may find the course material somewhat more challenging than students with some knowledge of the study of early societies. There will be two lectures per week, given by the professor.

• Department: Anthropology
• Instructor: Terence N D'Altroy
  CULPA: 37 Info
• 3 points

CORE STUDIO SEMESTER I

• Department: Architecture, Planning and Preservation
• Instructor: Mireia Luzarraga
  Info
• 9 points

Introduction to Computational Biomedicin

INTRO COMPUTAT BIOMED & H

This course offers a comprehensive introduction to the core computational methods driving modern biomedical research and health data science. As biological and clinical datasets grow in scale and complexity—from genomic sequences and molecular profiles to electronic health records (EHRs) and consumer health data—this course equips students with the essential computational foundations to model, analyze, and interpret high-dimensional biomedical data.

Organized around key algorithmic challenges spanning Clinical Informatics, Consumer Health Informatics, and Bioinformatics, the course focuses on the design and application of algorithms and statistical models to solve real-world biomedical problems. Lectures emphasize practical techniques and showcase their use across diverse biomedical data types.

Designed for advanced undergraduates and graduate students in biomedical informatics, computer science, biomedical engineering, applied mathematics, and related fields, this course builds a rigorous understanding of computational biomedicine. It serves as a core requirement for the Biomedical Informatics PhD and master’s programs and is cross-listed with Computer Science. Students interested in careers in bioinformatics, health data science, computational biology, or biomedical AI will find this course especially valuable.

As biomedical data continue to expand in size, diversity, and impact, this course provides a critical foundation in the algorithmic, statistical, and computational tools needed to advance the future of research at the intersection of computation and human health.

• Department: Biomedical Informatics
• Instructor: Gamze Gursoy
  Info
• 3 points

QUANTITATIVE PHYSIOLOGY I

Physiological systems at the cellular and molecular level are examined in a highly quantitative context. Topics include chemical kinetics, molecular binding and enzymatic processes, molecular motors, biological membranes, and muscles.

• Department: Biomedical Engineering
• Instructor: Lance Kam
  CULPA: 7 h-index: 38 Info
• 3 points

QUANTITATIVE PHYSIOLOGY I

Physiological systems at the cellular and molecular level are examined in a highly quantitative context. Topics include chemical kinetics, molecular binding and enzymatic processes, molecular motors, biological membranes, and muscles.

• Department: Video Network
• Instructor: Lance Kam
  CULPA: 7 h-index: 38 Info
• 3 points

ESSENTIALS OF CHEM ENGIN A

Part of an accelerated consideration of the essential chemical engineering principles from the undergraduate program, including selected topics from Introduction to Chemical Engineering, Transport Phenomena I and II, and Chemical Engineering Control. 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

ESSENTIALS OF CHEM ENGIN A

Part of an accelerated consideration of the essential chemical engineering principles from the undergraduate program, including selected topics from Introduction to Chemical Engineering, Transport Phenomena I and II, and Chemical Engineering Control. 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

FILM & MEDIA THEORY-DISC

Co-requisite undergraduate discussion section for FILM GU 4000 Film & Media Theory.

• Department: Film
• Instructor: Philip Gilstrap
  Info
• Instructor: Juntong Wu
  Info
• Instructor: Carley J Pinke
  Info
• Instructor: Sidnee Lim
  Info
• 0 points

DATA JOURNALISM

FOUNDATIONS OF COMPUTING

• Department: Journalism
• Instructor: Jonathan Soma
  Info
• 3 points

INTRODUCTION TO PROBABILITY AND STATISTI

INTRODUCTION TO PROB & ST

Prerequisites: Calculus through multiple integration and infinite sums. A calculus-based tour of the fundamentals of probability theory and statistical inference. Probability models, random variables, useful distributions, conditioning, expectations, law of large numbers, central limit theorem, point and confidence interval estimation, hypothesis tests, linear regression. This course replaces SIEO 4150.

• Department: Statistics
• Instructor: Arian Maleki
  h-index: 31 Info
• 3 points

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

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

CORE STUDIO SEMESTER III

• Department: Architecture, Planning and Preservation
• Instructor: Hilary M Sample-Meredith
  Info
• 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
• Instructor: Leon H Tatevossian
  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: Yuri Faenza
  h-index: 11 Info
• 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
• 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: Video Network
• Instructor: Yaren Kaya
  Info
• 3 points

ADVANCED STUDIO V

• Department: Architecture, Planning and Preservation
• 9 points

Advanced Ukrainian Through Literature, M

ADV UKRN THRU MED LIT POL

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.

• Department: Slavic Languages
• Instructor: Yuri Shevchuk
  CULPA: 4 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: Michael K Tippett
  CULPA: 8 h-index: 43 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: Tianyi Lin
  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: Video Network
• Instructor: Tianyi Lin
  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

"""GREEK LIT:EURIPIDES """"ORE

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: Gareth Williams
  CULPA: 7 Info
• 3 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: Venkat Venkatasubramanian
  h-index: 58 Info
• Instructor: Robert G Bozic
  Info
• 3 points

RESP COND OF RES/REL PLCY ISSU

ETHICS & POLICY IN SCIEN RSCH

Explores a variety of ethical and political issues that arise during the conduct of basic and clinical scientific research. Course sessions include lectures, discussion periods, and analyses of case studies.

• Department: Cellular, Molecular, and Biophysical Studies
• Instructor: Patrice Spitalnik
  Info
• 1 points

Circuits in the Brain: Dendritic integra

This course is an advanced seminar that will review current knowledge about the computation carried out by microcircuits present in the mammalian CNS. This year the seminar will focus on dendritic integration and in the function of dendritic spines. The class will run as a seminar discussion, where it is assumed that every student will have studied the reading material ahead of time and will be knowledgeable enough to explain it. Students should expect a minimum of 9 hours of work / week (classroom + work at home combined).

• Department: Biological Sciences
• Instructor: Rafael Yuste
  CULPA: 5 Wikipedia h-index: 106 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

RESP COND-RES/REL PLCY ISS-DIS

• Department: Cellular, Molecular, and Biophysical Studies
• 1 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

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

STRING THEORY

• Department: Physics
• Instructor: William A Zajc
  CULPA: 16 Wikipedia Info
• 3 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

ITALIAN FOOD/GLOBALIZED WORLD

This seminar examines the many meanings of food in Italian culture and tradition; how values and peculiarities are transmitted, preserved, reinvented and rethought through a lens that is internationally known as ;Made in Italy;; how the symbolic meanings and ideological interpretations are connected to creation, production, presentation, distribution, and consumption of food. Based on an anthropological perspective and framework, this interdisciplinary course will analyze ways in which we can understand the Italian taste through the intersections of many different levels: political, economic, aesthetic, symbolic, religious, etc. The course will study how food can help us understand the ways in which tradition and innovation, creativity and technology, localism and globalization, identity and diversity, power and body, are elaborated and interpreted in contemporary Italian society, in relation to the European context and a globalized world. Short videos that can be watched on the computer and alternative readings for those fluent in Italian will be assigned. In English.

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

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 points

ANCIENT EMPIRES-DISC

• Department: Anthropology
• 0 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

The Harlem Renaissance and Transatlantic

This course offers an overview of twentieth-century literary modernism through the lens of the Harlem Renaissance, a movement of Black artistic and intellectual flourishing loosely concentrated in New York City. Formal innovation, explorations of interiority, the autonomy of the artist, and political radicalism were all hallmarks of the works of Black Americans in the 1920s and 1930s, as they similarly came to define those of artists across the U.K. and Europe. We will begin by foregrounding the emergence of the Harlem Renaissance, reading manifestos, retrospective overviews, and signal texts of the period. In what ways—either complementary or competing—did Black artists conceptualize cultural modernity and political legibility? How did Black women understand themselves within these fraught, often masculine frameworks? We will then turn our attention abroad to consider surprising resonances between such authors as Nella Larsen and Virginia Woolf; Langston Hughes and T.S. Eliot; Wallace Thurman and James Joyce. In the final third of the semester, we will discuss continuities and departures between the Harlem Renaissance and the
Négritude
movement in Paris, a city sometimes referred to as the capital of the Black Atlantic. The course ultimately invites students to think about modernist literatures from a transatlantic, multiracial, and diasporic perspective, appreciating similarities without glossing over important points of tension and conflict.

• Department: English and Comparative Literature
• Instructor: Zoe L Henry
  Info
• 4 points

Renaissance Historians: Bruni, Machiavel

What was History in the Renaissance? This class tries to answer this question by focusing on three great historians and political philosophers of the fifteenth and sixteenth century: Leonardo Bruni, Niccolò Machiavelli, and Francesco Guicciardini. Analyzing their local and peninsular histories, we will learn how Renaissance scholars read, learned from, and rewrote Greek and especially Roman History. We will dive into Bruni’s reading of Florence’s distant and recent past, including historical events discussed in Dante’s
Divine Comedy
. Also, we will learn how Machiavelli transformed his reading of Livy in a laboratory to understand the tragic events of Renaissance Italy, and how Guicciardini narrates and analyzes contemporary Italian history. Dialoguing with Renaissance Historians, we will learn how creative and problematic is the reading of the past for the understanding of the present. We will discuss the many functions of History and reflect upon big ideas such as fortune, virtue, tyranny, freedom, and truth.         
In English.

• Department: Italian
• Instructor: Pier Mattia Tommasino
  CULPA: 7 Info
• 3 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: Shigeru Eguchi
  CULPA: 9 Info
• Instructor: Kyoko M Loetscher
  CULPA: 3 Info
• 4 points

HISTORY OF CHINESE LANGUAGE

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.

• Department: East Asian Languages and Cultures
• Instructor: Zhirong Wang
  CULPA: 11 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

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: Video Network
• 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

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: Video Network
• Instructor: Kenneth Spall
  Info
• 3 points

Medieval Art I: ca. 280 1453 CE

Medieval Art I: ca. 280-1

• Department: Art History and Archaeology
• Instructor: Holger A Klein
  CULPA: 13 Info
• 4 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: Alfred H Mueller
  CULPA: 2 Wikipedia Info
• 3 points

MDVL ART I: LATE ANT-BYZ-DISC

• Department: Art History and Archaeology
• Instructor: Brooke H Wrubel
  Info
• Instructor: Rhea C Stark
  Info
• 0 points

FUNDAMNTLS OF URB DIGITAL DES

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

ARCH DRWG REP I

• Department: Architecture, Planning and Preservation
• 3 points

Travel Literature in and from the Medite

This course will study various forms of travel writing within, from, and to the Mediterranean in the long nineteenth century. Throughout the semester, you will read a number of travel accounts to develop your understanding of these particular sources and reflect on the theoretical discussions and the themes framing them, namely orientalism, postcolonial studies, imaginative geographies, literature between fiction and reality, Romantic and autobiographical writing, gender, sexuality and the body, the rise of archeology, adventurism, mass migration and tourism. We will focus on Italian travel writers visiting the Ottoman Empire and the Americas (Cristina di Belgioioso, Gaetano Osculati, Edmondo de Amicis) and others visiting the Italian peninsula (Grand Tourists, Madame De Staël), and we will study the real or imaginary travels of French, British and American writers to the Eastern Mediterranean and to antique and holy lands (Jean-Jacques Barthélemy, Count Marcellus, Austen Henry Layard, Lord Byron, Mark Twain), as well as Arabic travel writers to the West (Rifāʻah Rāfiʻ al-Ṭahṭāwī).

• Department: Italian
• R 12:10 p.m.-2 p.m.
• Instructor: Konstantia Zanou
  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

CCCP ARCH COLLOQUIUM I

• Department: Architecture, Planning and Preservation
• Instructor: Mark Wasiuta
  CULPA: 1 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

HARLEM AND HAITI

This graduate seminar explores the rich cultural and historical connections between the Harlem Renaissance in the United States and Haiti, the world's first independent Black Republic. Through an interdisciplinary approach, students will examine the linked literary, artistic, political, and social dimensions of the Harlem Renaissance and Haiti and how they have influenced and interacted with each other through their writers and artists. By analyzing key texts, novels, essays, travelogues, artworks, and historical documents, students will develop a comprehensive understanding of the connections between the Harlem Renaissance and Haiti and how they continue to resonate today. At the end of the course, students will have gained a deeper historical context, including the socio-political backgrounds and global influences that shaped and connected the Harlem Renaissance and Haiti, and will have honed the analytical and critical skills necessary to explore broader diasporic and transnational l connections.

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

PRAGUE-SPRING 1968-FILM & LIT

The course explores the unique period in Czech film and literature during the 1960s that emerged as a reaction to the imposed socialist realism. The new generation of writers (Kundera, Skvorecky, Havel, Hrabal) in turn had an influence on young emerging film makers, all of whom were part of the Czech new wave.

• Department: Slavic Languages
• Instructor: Christopher W Harwood
  CULPA: 4 Info
• 3 points

CCCP ARCH THESIS I

• Department: Architecture, Planning and Preservation
• Instructor: Alexandra K Tell
  Info
• 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: Robert D Friedman
  CULPA: 44 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
• Instructor: Yujie Xu
  Info
• 3 points

WORKSHOP IN URBAN STUDIES

• Department: Architecture, Planning and Preservation
• Instructor: Jenna E Miller
  Info
• 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

NEO-DADA AND POP ART

This course examines the avant-garde art of the fifties and sixties, including assemblage, happenings, pop art, Fluxus, and artists' forays into film. It will examine the historical precedents of artists such as Robert Rauschenberg, Jasper Johns, Allan Kaprow, Andy Warhol, Claes Oldenburg, Carolee Schneemann and others in relation to their historical precedents, development, critical and political aspects.

• Department: Art History and Archaeology
• Instructor: Branden W Joseph
  CULPA: 9 Wikipedia Info
• 3 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: Aise Johan de Jong
  CULPA: 5 Wikipedia Info
• 3 points

Workshop on Gender & Sexuality I

Work on Gender & Sexualit

The Gender/Sexuality Workshop is a forum for students interested in social science topics broadly related to gender and sexuality. In particular, it will provide an opportunity for students to read and discuss the works presented in the weekly gender/sexuality workshop, while also sharing and refining their own works in progress. The workshop takes an expansive view of gender and sexuality as a mode of classifying people and as a structure that organizes social life, including work that uses gender/sexuality as a lens to interrogate other social structures such as empire, capitalism, science and knowledge, states and governance, and more. The G/S Workshop will meet every other week over the course of Fall 2024.

• Department: Sociology
• Instructor: Tara Gonsalves
  Info
• 2 points

ARCH ELECTIVE INTERNSHIP

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