This course will focus on individual and collaborative projects designed to explore the fundamental principles of image making. Students acquire a working knowledge of concepts in contemporary art through class critiques, discussion, and individual meetings with the professor. Reading materials will provide historical and philosophical background to the class assignments. Class projects will range from traditional to experimental and multi-media. Image collections will be discussed in class with an awareness of contemporary image production.
Discussion section to accompany the course, MDES UN2006 What is Islam?.
A continuation of painting I - III, open to all skill levels. Students will further develop techniques to communicate individual and collective ideas in painting. This course will focus on individual and collaborative projects designed to explore the fundamental principles of image making. Students acquire a working knowledge of traditional studio skills and related concepts in contemporary art through class critiques, discussion, and individual meetings with the professor. Reading materials will provide historical and philosophical background to the class assignments. Class projects will range from traditional to experimental and multi-media. Image collections will be discussed in class with an awareness of contemporary image production.
The teen brain has received a lot of media coverage with advances in brain imaging techniques that
provide a voyeuristic opportunity for us to look under the hood of the behaving adolescent brain. This
course will cover empirical and theoretical accounts of adolescent-specific changes in brain and behavior
that relate to the development of self control. These accounts of adolescent brain and behavior will then
be discussed in the context of relevant legal, social and health policy issues. Lectures and discussion will
address: Under what circumstances self control appears to be diminished in adolescents. How do
dynamic changes in neural circuitry help to explain changes in self control across development? When
does the capacity for self control fully mature? Are these changes observed in other species? How might
these changes be evolutionarily adaptive and when are they maladaptive? How might understanding
adolescent brain and behavioral development inform interventions and treatments for maladaptive
behavior or inform policy for changing the environment to protect youth?
Examination of gender differences in the U.S. and other advanced industrial economies. Topics include the division of labor between home and market, the relationship between labor force participation and family structure, the gender earnings gap, occupational segregation, discrimination, and historical, racial, and ethnic group comparisons.
This course rethinks the ;birth of cinema; from the vantage of ;when old media was new.; Following standard approaches, it moves from actualities to fiction, from the ;cinema of attractions; to narrative, from the cinematographe to cinema, from cottage industry to studio system. Units in silent film music, early genres, film piracy and copyright, word and moving image, and restoration--the film archivists dilemma in the digital era. FILM W2011
Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
How did Elvis become the “King of Rock’n’Roll” instead of, for example, Chuck Berry? Who are LaVern Baker, Sister Rosetta Tharpe, and Etta James and what do they have to do with rock and roll? Why and how did “rock and roll” become “rock”? What are the relationships among rock, rhythm and blues, soul, and funk? What do classical music composers such as J.S. Bach, Modest Mussorgsky, and Philip Glass have to do with rock? How many times has rock “died”? What is rock music’s relevance both historically and today? This course will introduce you to popular music studies, a field of inquiry that draws scholars from a number of different disciplines, including musicology, sociology, philosophy, anthropology and literature. Examining rock music in an interdisciplinary way has opened the genre to increasing attention beyond musicological methodologies and assumptions. First, however, we must ask some fundamental questions: for instance, what, exactly,
is
popular music as well as, importantly, what differentiates rock music from other genres? Our definitions will reveal some of the assumptions we bring to any discussion of popular music. Throughout this semester, we will question our assumptions about rock music culture through an investigation into a series of keywords. Each keyword will focus our attention on various aspects of rock music in order to think through the complexities of what might, on the surface, seem self-evident. Terms such as “genre” or “the everyday” will be examined to help us gain critical analytical tools with which to assess various rock music productions, artists, and processes.
Linear algebra with a focus on probability and statistics. The course covers the standard linear algebra topics: systems of linear equations, matrices, determinants, vector spaces, bases, dimension, eigenvalues and eigenvectors, the Spectral Theorem and singular value decompositions. It also teaches applications of linear algebra to probability, statistics and dynamical systems giving a background sufficient for higher level courses in probability and statistics. The topics covered in the probability theory part include conditional probability, discrete and continuous random variables, probability distributions and the limit theorems, as well as Markov chains, curve fitting, regression, and pattern analysis. The course contains applications to life sciences, chemistry, and environmental life sciences. No a priori background in the life sciences is assumed.
This course is best suited for students who wish to focus on applications and practical approaches to problem solving. It is recommended to students majoring in engineering, technology, life sciences, social sciences, and economics.
Math majors, joint majors, and math concentrators must take MATH UN2010 Linear Algebra or MATH UN1207 Honors Math A, which focus on linear algebra concepts and foundations that are needed for upper-level math courses. MATH UN2015 (Linear Algebra and Probability) does NOT replace MATH UN2010 (Linear Algebra) as prerequisite requirements of math courses. Students may not receive full credit for both courses MATH UN2010 and MATH UN2015. Students who have taken MATH UN2015 and consider taking higher level Math courses should contact a major advisor to discuss alternative pathways.
The musical and cultural features of jazz, beginning in 1900.
PHYS BC2020 Electricity & Magnetism -- Lecture Only is required as a pre- or co-requisite for this lab.
Prerequisite: Physics BC2001 or the equivalent.
Charge, electric field, and potential. Gauss's law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwell's equations. This is a calculus-based class. Familiarity with derivatives and integrals is needed.
May be retaken for full credit.
Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a departmental stage production register for this course; course emphasizes the collaborative nature of production, and appropriate research and reading required in addition to artistic assignments. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
.
May be retaken for full credit.
Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a Senior Thesis in Directing register for this course. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
May be retaken for full credit.
Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a Senior Thesis in Directing register for this course. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
May be retaken for full credit.
Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a Senior Thesis in Directing register for this course. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
This course provides a comprehensive introduction to methods and theory in archaeology – by exploring how archaeologists work to create narratives about the past (and the present) on the basis on the material remains of the past. The course begins with a consideration of how archaeologists deal with the remains of the past in the present: What are archaeological sites and how do we ‘discover’ them? How do archaeologists ‘read’ or analyze sites and artifacts? From there, we will turn to the question of how archaeologists interpret these materials traces, in order to create narratives about life in the past. After a review of the historical development of theoretical approaches in archaeological interpretation, the course will consider contemporary approaches to interpreting the past.
Prerequisites: (ECON UN1105) The workshop prepares students to compete in the annual College Fed Challenge sponsored by the Federal Reserve. Topics covered include macroeconomic and financial conditions, monetary policy, financial stability and the Federal Reserve System.
Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent. Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.
This course brings our survey of the development of the art, technology, and industry of motion images up to the present. During this era, most people no longer watched movies (perhaps the most neutral term) in theaters, and digital technology came to dominate every aspect of production, distribution, and exhibition. Highlighted filmmakers include Michael Haneke, Lars von Trier, Wong Kar-wei, and Steve McQueen. Topics range from contemporary horror to animation. Requirements: short (2-3 pages) papers on each film shown for the class and a final, take-home exam. FILM W2041
Prerequisites: A grade of 5 on the Chemistry Advanced Placement exam and an acceptable grade on the Department placement exam. Corequisites: CHEM UN1507 Premedical students may take CHEM UN2045, CHEM UN2046, CHEM UN1507 and CHEM UN2545 to meet the minimum requirements for admission to medical school. This course covers the same material as CHEM UN2443-CHEM UN2444, but is intended for students who have learned the principles of general chemistry in high school OR have completed CHEM UN1604 in their first year at Columbia. First year students enrolled in CHEM UN2045-CHEM UN2046 are expected to enroll concurrently in CHEM UN1507. Although CHEM UN2045 and CHEM UN2046 are separate courses, students are expected to take both terms sequentially. A recitation section is required. Please check the Directory of Classes for details and also speak with the TA for the course.
Corequisites: TO BE ENROLLED IN UN2045, YOU MUST REGISTER FOR UN2047 RECITATION
This course will introduce some of the most fascinating texts of the first eight hundred years of English literature, from the period of Anglo-Saxon rule through the Hundred Years’ War and beyond—roughly, 700–1500 CE. We’ll hit on some texts you’ve heard of –
Beowulf
and selections from Chaucer’s
Canterbury Tales
– while leaving time for some you may not have encountered – Marie de France’s
Lais
and Margery of Kempe’s
Book
. Along the way, we’ll also hone skills of reading, writing, and oral expression crucial to appreciating and discussing literature in nuanced, supple ways.
If you take this course, you’ll discover how medieval literature is both a mirror and a foil to modern literature. You’ll explore the plurilingual and cross-cultural nature of medieval literary production and improve (or acquire!) your knowledge of Middle English. Plus, you’ll flex your writing muscles with three papers (one of which can be replaced by a creative project, if you like) and discussion posts where you’ll have the chance to pursue your own interests.
The Arctic region is warming four times faster than the global average, and the Arctic Ocean is likely to become ice-free in summer months much faster than anyone had expected even a few years ago. This is having a huge impact on the politics of the region, and is what social scientists call a “natural experiment” (even though it is the result of human activity) or an “exogenous shock” to the status quo. A second “endogenous” shock (meaning that it came from an actor inside the region) happened when Russia launched a full-scale invasion of Ukraine in 2022, even though Ukraine is not in the Arctic. This is because Russia is the largest Arctic state by both landmass and population, while all seven of the other Arctic states are now NATO members. The facts of both climate change and Russia’s invasion of Ukraine have enormous implications for virtually every realm of Arctic politics and policy, and in turn for concerns that extend beyond the Arctic: from local governance to cooperative international institutions, from commercial trade to military security, from environmental disasters to economic windfalls (including for indigenous communities). In this lecture course we will explore these changes and their implications in depth.
Not open to students who have received credit for POLS BC3060: Colloquium on Arctic Politics.
In order to exist, the female vocal celebrity needs a public. This course takes a global perspective on women’s voices, bodies, and performances, examining them in deep sociocultural contexts across a range of classical and popular music genres. Guiding questions interrogate the role of media and technology in commercializing and circulating the sounds and images of women singers on an international scale, forging new arenas for meaning-making around gender, race, and citizenship. Considering the historically, socially, and materially situated circumstances in which celebrated women performers have emerged in the modern era, the course asks: How did the expressive labor of virtuosic female singers shape the early US entertainment industry? In what ways have women singers around the world impacted nation-centered political agendas, struggles for racial equality, and other powerful religious and secular social formations? How did sound reproduction and broadcasting technology not only expand audiences on an exponential scale, but transform listeners’ experience of female singers’ live performance? Cross-culturally and throughout history, why have exceptional women vocalists had greater public impact than women instrumentalists?
The course introduces students to animal studies, a multidisciplinary field that investigates relations
between human and nonhuman animals across historical periods, political regimes, cultural contexts, and
institutional settings. Beginning with the foundational concepts of animal studies and moving toward
contemporary debates, the course traces how animals have been mediated through philosophy, science,
and law, as well as cultural artifacts. Through readings of classic and contemporary texts—from Aristotle,
Descartes, and Bentham to Peter Singer, Carol J. Adams, and Donna J. Haraway—the course examines
how ideas concerning animal nature, moral worth, legal status, and political inclusion are produced,
contested, and transformed.
The goal of this course will be to subject the source materials about Jesus and the very beginnings of Christianity (before about 150 CE) to a strictly historical-critical examination and analysis, to try to understand the historical underpinnings of what we can claim to know about Jesus, and how Christianity arose as a new religion from Jesus life and teachings. In addition, since the search or quest for the historical Jesus has been the subject of numerous studies and books in recent times, we shall examine a selection of prominent historical Jesus works and theories to see how they stand up to critical scrutiny from a historical perspective.
Mendelian and molecular genetics of both eukaryotes and prokaryotes, with an emphasis on human genetics. Topics include segregation, recombination and linkage maps, cytogenetics, gene structure and function, mutation, molecular aspects of gene expression and regulation, genetic components of cancer, and genome studies.
International Economics examines how countries are interconnected through trade, investment, labor mobility, capital flows, and financial markets. The course introduces major theories of international trade and international macroeconomics and applies them to contemporary economic issues. Topics include comparative advantage, trade and income distribution, migration and foreign direct investment, trade policy, exchange rates, balance of payments, international capital flows, financial crises, and global economic institutions. Prerequisite: ECON 1003BC Intro to Economic Reasoning or equivalent.
Prerequisites: high school algebra. Recommended preparation: high school chemistry and physics; and one semester of college science. Origin and development of the atmosphere and oceans, formation of winds, storms and ocean currents, reasons for changes through geologic time. Recent influence of human activity: the ozone hole, global warming, water pollution. Laboratory exploration of topics through demonstrations, experimentation, computer data analysis, and modeling. Students majoring in Earth and Environmental Sciences should plan to take EESC W2100 before their senior year to avoid conflicts with Senior Seminar.
This course examines many of the central concepts, theories, and analytical tools used in contemporary social science to understand and explain international affairs and public policy. The theoretical literature is drawn from different fields in the social sciences, including comparative politics, international relations, political sociology, psychology, and economics. The course is designed to enhance students' abilities to think critically and analytically about current problems and challenges in international politics, and the decision making processes for addressing them.
Note: Students must also register for a discussion section: GAPP IA2101.
Today, it’s impossible to talk about the climate crisis without talking about justice. Thanks to the continued activism of grassroots and frontline community organizers, progressive NGOs, and coalitions of small island states, climate politics are now deeply linked to questions of social justice and equity.
This course introduces students to key topics and issues in climate justice in order to gain a foundational understanding of the field. Themes and topics include: theoretical frameworks of climate justice; climate justice and gender; the justice dimensions of climate adaptation and managed retreat; energy democracy and just transitions; the question of culpability and who should be held responsible for causing global warming; and historical efforts to codify justice considerations at international institutions like the UN.
Data, Mapping, and Spatial Analysis is an introductory course for non-majors. Through the semester, the class covers the technologies for mapping, analyzing, and making spatial data as well as their histories; engages qualitative and quantitative data sets within a geographic information system (GIS) framework; discusses situated, context-specific, and community-based methods alongside top-down modes of spatial research; and introduces students to cartographic principles and map design. Students will learn the tools and techniques of digital mapping and GIS through lecture, hands-on exercises, and a small, self-designed final project.
Prerequisites: (VIAR UN1000) (Formerly R3201) Introduction of the fundamental skills and concepts involved in painting. Problems are structured to provide students with a knowledge of visual language along with a development of expressive content. Individual and group critiques. Portfolio required at end. If the class is full, please visit http://arts.columbia.edu/undergraduate-visual-arts-program.
A unified, single-semester introduction to differential equations and linear algebra with emphases on (1) elementary analytical and numerical technique and (2) discovering the analogs on the continuous and discrete sides of the mathematics of linear operators: superposition, diagonalization, fundamental solutions. Concepts are illustrated with applications using the language of engineering, the natural sciences, and the social sciences. Students execute scripts in Mathematica and MATLAB (or the like) to illustrate and visualize course concepts (programming not required).
This architectural design studio explores material assemblies, techniques of fabrication, and systems of organization. These explorations will be understood as catalysts for architectural analysis and design experimentation.
Both designed objects and the very act of making are always embedded within a culture, as they reflect changing material preferences, diverse approaches to durability and obsolescence, varied understandings of comfort, different concerns with economy and ecology. They depend on multiple resources and mobilize varied technological innovations. Consequently, we will consider that making always involves making a society, for it constitutes a response to its values and a position regarding its technical and material resources. Within this understanding, this studio will consider different cultures of making through a number of exercises rehearse design operations at different scales—from objects to infrastructures.
Prerequisites: CATL W1120. The first part of Columbia University´s comprehensive intermediate Catalan sequence. The main objectives of this course are to continue developing communicative competence - reading, writing, speaking and listening comprehension - and to further acquaint students with Catalan cultures.
Prerequisites: CZCH UN1102 or the equivalent Rapid review of grammar. Readings in contemporary fiction and nonfiction, depending upon the interests of individual students.
This course will further your awareness and understanding of the French language, culture and literature, provide a comprehensive review of fundamental grammar points while introducing more advanced ones, as well as improve your mastery of oral, reading, and writing skills. By the end of the course, you will be able to read short to medium-length literary and non-literary texts, and analyze and comment on varied documents and topics, both orally and in writing.
This is the required Discussion Section for Contemporary Debates in Global Affairs and Public Policy (GAPP IA2100).
This is the required Discussion Section for Contemporary Debates in Global Affairs and Public Policy (GAPP IA2100).
This is the required Discussion Section for Contemporary Debates in Global Affairs and Public Policy (GAPP IA2100).
This is the required Discussion Section for Contemporary Debates in Global Affairs and Public Policy (GAPP IA2100).
Prerequisites: GERM UN2101 or the equivalent. If you have prior German outside of Columbia’s language sequence, the placement exam is required.
Intermediate German UN2102 is conducted entirely in German and emphasizes the four basic language skills, cultural awareness, and critical thinking. A wide range of topics (from politics and poetry to art) as well as authentic materials (texts, film, art, etc.) are used to improve the 4 skill. Practice in conversation aims at enlarging the vocabulary necessary for daily communication. Grammar is practiced in the context of the topics. Learning and evaluation are individualized (individual vocabulary lists, essays, oral presentations, final portfolio) and project-based (group work and final group project).
Prerequisites: GREK UN1101- GREK UN1102 or the equivalent. Selections from Attic prose.
Prerequisites: ITAL V1102 or W1102, or the equivalent. If you did not take Elementary Italian at Columbia in the semester preceding the current one, you must take the placement test, offered by the Italian Department at the beginning of each semester.
Prerequisites: LATN UN1101 & UN1102 or LATN UN1121 or equivalent. Selections from Catullus and Cicero.
Prerequisites: PORT W1120 or the equivalent. General review of grammar, with emphasis on self-expression through oral and written composition, reading, conversation, and discussion.
Prerequisites: SPAN UN1102 or SPAN UN1120 or or a score of 380-449 in the departments Placement Examination. An intensive course in Spanish language communicative competence, with stress on oral interaction, reading, writing, and culture as a continuation of SPAN UN1102 or SPAN UN1120. All Columbia students must take Spanish language courses (UN 1101-3300) for a letter grade.
Prerequisites: SPAN UN1102 or SPAN UN1120 or or a score of 380-449 in the departments Placement Examination. An intensive course in Spanish language communicative competence, with stress on oral interaction, reading, writing, and culture as a continuation of SPAN UN1102 or SPAN UN1120. All Columbia students must take Spanish language courses (UN 1101-3300) for a letter grade.
Prerequisites: SPAN UN1102 or SPAN UN1120 or or a score of 380-449 in the departments Placement Examination. An intensive course in Spanish language communicative competence, with stress on oral interaction, reading, writing, and culture as a continuation of SPAN UN1102 or SPAN UN1120. All Columbia students must take Spanish language courses (UN 1101-3300) for a letter grade.
This is a required lab that must be taken with URBS 2100UN Data, Mapping, and Spatial Analysis.
Prerequisites: BCRS UN1102 or the equivalent. Readings in Serbian/Croatian/Bosnian literature in the original, with emphasis depending upon the needs of individual students. This course number has been changed to BCRS 2102
Prerequisites: CATL UN2101 or equivalent Catalan 1202 is the second part of Columbia Universitys intermediate Catalan sequence. Course goals are to enhance student exposure to various aspects of Catalan culture and to consolidate and expand reading, writing, speaking, and listening skills.
Prerequisites: DTCH UN1101-UN1102 or the equivalent. Continued practice in the four skills (aural comprehension, reading, speaking, and writing); review and refinement of basic grammar; vocabulary building. Readings in Dutch literature.
Prerequisites: FREN UN2121 Intermediate Conversation is a suggested, not required, corequisite Prepares students for advanced French language and culture. Develops skills in speaking, reading, and writing French. Emphasizes cross-cultural awareness through the study of short stories, films, and passages from novels. Fosters the ability to write about and discuss a variety of topics using relatively complex structures.
Prerequisites: GERM UN2101 or the equivalent.
Intermediate German UN2102 is conducted entirely in German and emphasizes the four basic language skills, cultural awareness, and critical thinking. A wide range of topics (from politics and poetry to art) as well as authentic materials (texts, film, art, etc.) are used to improve the 4 skill. Practice in conversation aims at enlarging the vocabulary necessary for daily communication. Grammar is practiced in the context of the topics. Learning and evaluation are individualized (individual vocabulary lists, essays, oral presentations, final portfolio) and project-based (group work and final group project).
Prerequisites: GREK UN1101- GREK UN1102 or GREK UN1121 or the equivalent. Detailed grammatical and literary study of several books of the Iliad and introduction to the techniques or oral poetry, to the Homeric hexameter, and to the historical background of Homer.