Prerequisites: Students who register for ENGL UN2001 must also register for ENGL UN2000 Approaches to Literary Study lecture. This course is intended to introduce students to the advanced study of literature, through a weekly pairing of a faculty lecture (ENGL 2000) and small seminar led by an advanced doctoral candidate (ENGL 2001). Students in the course will read works from across literary history, learning the different interpretive techniques appropriate to each of the major genres (poetry, drama, and prose fiction). Students will also encounter the wide variety of critical approaches taken by our faculty and by the discipline at large, and will be encouraged to adapt and combine these approaches as they develop as thinkers, readers, and writers. ENGL 2000/2001 is a requirement for both the English Major and English Minor. While it is not a general prerequisite for other lectures and seminars, it should be taken as early as possible in a student's academic program.
Prerequisites: Students who register for ENGL UN2001 must also register for ENGL UN2000 Approaches to Literary Study lecture. This course is intended to introduce students to the advanced study of literature, through a weekly pairing of a faculty lecture (ENGL 2000) and small seminar led by an advanced doctoral candidate (ENGL 2001). Students in the course will read works from across literary history, learning the different interpretive techniques appropriate to each of the major genres (poetry, drama, and prose fiction). Students will also encounter the wide variety of critical approaches taken by our faculty and by the discipline at large, and will be encouraged to adapt and combine these approaches as they develop as thinkers, readers, and writers. ENGL 2000/2001 is a requirement for both the English Major and English Minor. While it is not a general prerequisite for other lectures and seminars, it should be taken as early as possible in a student's academic program.
The first half of a one-year sequence in intermediate Italian for students who have completed Elementary Italian I and II or the equivalent.
This course provides a hands-on introduction to techniques commonly used in current neurobiological research. Topics covered will include neuroanatomy, neurophysiology, and invertebrate animal behavioral genetics. Participation in this course involves dissection of sheep brains and experimentation with invertebrate animals.
Corequisites: Calculus I or the equivalent
Fundamental laws of mechanics. Kinematics, Newtons laws, work and energy, conservation laws, collisions, rotational motion, oscillations, gravitation. PLEASE NOTE: Students who take PHYS BC2001 may not get credit for PHYS BC2009 or PHYS BC2010.
Prerequisites: (VIAR UN1000) Examines the potential of drawing as an expressive tool elaborating on the concepts and techniques presented in VIAR UN1001. Studio practice emphasizes individual attitudes toward drawing while acquiring knowledge and skills from historical and cultural precedents. Portfolio required at the end.
This course is for students interested in learning how to conduct scientific research. They will learn how to (i) design well-controlled experiments and identify “quack” science; (ii) organize, summarize and illustrate data, (iii) analyze different types of data; and (iv) interpret the results of statistical tests.
Interdisciplinary and thematic approach to the study of Africa, moving from pre-colonial through colonial and post-colonial periods to contemporary Africa. Focus will be on its history, societal relations, politics and the arts. The objective is to provide a critical survey of the history as well as the continuing debates in African Studies.
This course presents students with crucial theories of society, paying particular attention at the outset to classic social theory of the early 20th century. It traces a trajectory of writings essential for an understanding of the social: from Saussure, Durkheim, Mauss, Weber, and Marx, on to the structuralist ethnographic elaboration of Claude Levi-Strauss and the historiographic reflections on modernity of Michel Foucault. We revisit periodically, reflections by Franz Boas, founder of anthropology in the United States (and of Anthropology at Columbia), for a sense of origins, an early anthropological critique of racism and cultural chauvinism, and a prescient denunciation of fascism. We turn as well, also with ever-renewed interest in these times, to the expansive critical thought of W. E. B. Du Bois. We conclude with Kathleen Stewart’s
A Space on the Side of the Road
--an ethnography of late-twentieth-century Appalachia and the haunted remains of coal-mining country--with its depictions of an uncanny otherness within dominant American narratives.
Computational neuroscience is an exciting, constantly evolving subfield in neuroscience that brings together theories and ideas from many different areas in STEM such as physics, chemistry, math, computer science, and psychology. Through the exploration of computational models of neuronal and neural network activity, students will be introduced to a handful of quantitative STEM concepts that intersect with neuroscience. Before beginning this course students are expected to know about the action potential and synaptic transmission (see prerequisites). In this course, we will connect those biological phenomena to quantitative STEM concepts and then to computational models in Matlab. This course is designed for Neuroscience and Biology majors who want to take their first steps towards mathematical and computational models of the brain. Students interested in the computational track for the Neuroscience major should consider taking this course. By the end of this course students will be able to:
● Identify the scope of a neuroscience model and determine what it can and cannot tell us.
● Compare models and select an appropriate model for a given scientific question from among the models covered in this course.
● Make connections from the action potential and synaptic transmission to quantitative concepts from other STEM disciplines.
● Design, construct, and implement computational neuroscience models of neurons and neural networks using Matlab.
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.
Prerequisites: one year of college chemistry is required. Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar. http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
This is a seminar course that covers the basics of mathematical proofs and in particular the epsilon-delta argument in single variable calculus.
Students who have little experience with mathematical proofs are strongly encouraged to take this course concurrently with Honors Math, Into to Modern Algebra, or Intro to Modern Analysis.
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.
PHYS BC2010 Mechanics - Lecture Only is required as a pre- or co-requisite for this lab.
Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Fundamental laws of mechanics. Kinematics, Newton's laws, work and energy, conservation laws, collisions, rotational motion, oscillations, gravitation. This is a calculus-based class. Familiarity with derivatives and integrals is needed.
Only the most recent chapters of the past are able to be studied using traditional historiographical methods focused on archives of textual documents. How, then, are we to analyze the deep history of human experiences prior to the written word? And even when textual archives do survive from a given historical period, these archives are typically biased toward the perspectives of those in power. How, then, are we to undertake analyses of the past that take into account the lives and experiences of all of society’s members, including the poor, the working class, the colonized, and others whose voices appear far less frequently in historical documents? From its disciplinary origins in nineteenth century antiquarianism, archaeology has grown to become a rigorous science of the past, dedicated to the exploration of long-term and inclusive social histories.
“Laboratory Methods in Archaeology” is an intensive introduction to the analysis of archaeological artifacts and samples in which we explore how the organic and inorganic remains from archaeological sites can be used to build rigorous claims about the human past. The 2022 iteration of the course centers on assemblages from two sites, both excavated by Barnard’s archaeological field program in the Taos region of northern New Mexico: (1) the Spanish colonial site of San Antonio del Embudo founded in 1725 and (2) the hippie commune known as New Buffalo, founded in 1967. Participants in ANTH BC2012 will be introduced to the history, geology, and ecology of the Taos region, as well as to the excavation histories of the two sites. Specialized laboratory modules focus on the analysis of chipped stone artifacts ceramics, animal bone, glass, and industrial artifacts.
The course only demands participation in the seminars and laboratory modules and successful completion of the written assignments, but all students are encouraged to develop specialized research projects to be subsequently expanded into either (1) a senior thesis project or (2) a conference presentation at the Society for American Archaeology, Society for Historical Archaeology, or Theoretical Archaeology Group meeting.
Corequisite: CHEM BC2001. Required laboratory section for BC2001x General Chemistry. All students enrolled in BC2001x must also be enrolled in one section of BC2012.
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
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.
Today’s cell phones are equipped with cameras that far surpass those used by the pioneers of digital photography, offering superior resolution and multi-sensor capabilities that revolutionize how we capture and process images. This course explores the creative and technical potential of smartphone photography, focusing on accessible tools and workflows that empower students to produce compelling digital works. The curriculum emphasizes post-production and digital media techniques over traditional camera mastery. Students will develop foundational skills in Adobe Suite applications, including Lightroom and Photoshop for photo editing and After Effects and Premiere for video production. We will also discuss the integration of artificial intelligence in modern photography, examining how AI enhances editing processes and opens new creative possibilities. A significant part of the course will address fundamental questions of light in photography, the use of RAW formats—offered by many smartphones but seldom understood—and the structure of digital image files. Students will also learn about post-production techniques for preparing images for print, as well as for projection or display on digital screens, ensuring a comprehensive understanding of the end-to-end digital photography workflow. Thinking Locally: Street photography serves as a central theme in this course, encouraging students to document the vibrant life of New York City through weekly assignments. A guided photo walk in Harlem will provide hands-on experience in capturing unique, candid moments. Ethical considerations will be a key focus, addressing topics like consent, privacy, and best practices for interacting with subjects. Discussions will be complemented by readings, critiques, and a guest lecture from a professional street photographer. By the end of the course, students will have transformed their understanding of smartphone photography, creating works that push the boundaries of accessible technology while building a strong foundation in contemporary digital media.
Regimes of various shapes and sizes tend to criminalize associations, organizations, and social relations that these ruling powers see as anathema to the social order on which their power depends: witches, officers of toppled political orders, alleged conspirators (rebels, traitors, terrorists, and dissidents), gangsters and mafiosi, or corrupt officers and magnates. Our main goal will be to understand how and under what conditions do those with the power to do so define, investigate, criminalize and prosecute those kinds of social relations that are cast as enemies of public order. We will also pay close attention to questions of knowledge – legal, investigative, political, journalistic, and public – how doubt, certainty, suspicion and surprise shape the struggle over the relationship between the state and society.
The main part of the course is organized around six criminal investigations on mafia-related affairs that took place from the 1950s to the present (two are undergoing appeal these days) in western Sicily. After the introductory section, we will spend two weeks (four meetings) on every one of these cases. We will follow attempts to understand the Mafia and similarly criminalized organizations, and procure evidence about it. We will then expand our inquiry from Sicily to cases from all over the world, to examine questions about social relations, law, the uses of culture, and political imagination.
*Although this is a social anthropology course,
no previous knowledge of anthropology is required or presumed
. Classroom lectures will provide necessary disciplinary background.
This course examines major developments and debates in the history of cinema between 1930 and 1960, from the consolidation of the classic Hollywood studio system in the early sound era to the articulation of emergent ;new waves; and new critical discourses in the late 1950s. Our approach will be interdisciplinary in scope, albeit with an emphasis on social and cultural history - concerned not only with how movies have developed as a form of art and medium of entertainment, but also with cinemas changing function as a social institution. Discussion section FILM UN 2021 is a required co-requisite.
Co-requisite for FILM UN 2020 Cinema History II.
Popular and Historical Gestures explores the fundamental properties of figure drawing and portraiture through the lens of pop culture and historical gestures and poses. Students examine the figure in painting, documentary photography, art history, and literature, and then use these examples as sources for live model sessions, studio practice, and discussions. Students will work on self-directed projects and from live models. There are one-on-one and group discussions, as well as individual critiques with the instructor. Class time will include image presentations, discussions, museum trips, individual and group critiques, and in-class independent work time. Each class will begin with a homework critique and a discussion, lecture, or demonstration structured around a specific goal. Students will then work individually. Each class will end with brief individual and group critiques to allow students to see and discuss each other's work.
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 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
.
By closely watching representative classics from countries including Italy, Poland, Russia and Argentina, we will study the distinctive trends and masters of this vibrant era. Special attention will be paid to the French New Wave (60s); the New German Cinema (70s); the reformulation of Hollywood studio filmmaking in the 70s (Altman, Cassavetes, Coppola), and the rise of the independent American cinema (80s). Discussion section FILM UN 2031 is a required co-requisite.
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.
Prerequisites: Music Humanities (Columbia University) or An Introduction to Music (Barnard). With the arrival of the first Jewish immigrants in New York in the mid-1600s until today, Jewish music in the City has oscillated between preserving traditions and introducing innovative ideas. This course explores the variety of ways people have used music to describe, inscribe, symbolize, and editorialize their Jewish experience. Along these lines, it draws upon genres of art music, popular music, and non-Western traditions, as well as practices that synthesize various styles and genres, from hazzanut to hiphop. Diverse musical experiences will serve as a window to address wider questions of identity, memory, and dislocation. We will also experience the Jewish soundscape of New York’s dynamic and eclectic music culture by visiting various venues and meeting key players in today’s music scene, and thus engage in the ongoing dialogues that define Jewishness in New York. A basic familiarity with Judaism and Jewish culture is helpful for this course, but it is by no means required. You do not need to know Jewish history to take this class, nor do you need to be able to read music. Translations from Hebrew and Yiddish will be provided, and musical analysis will be well explained.
The awareness of mortality seems to be a peculiarly human affliction, and its study has been a key theme of 20th century philosophy. This class will address the question of human finitude from outside of the western philosophical tradition. Anthropologists have shown that humans deal with the challenge of death in diverse ways, which nevertheless share some common themes. During the semester we’ll look at case studies from across the world and over time and also explore the ethics and politics of disturbing the dead. The evidence of past human mortuary assemblages will provide some of our key primary texts. We’ll analyze famous burials such as those of Tutankhamun, the Lord of Sipan, and Emperor Qin’s mausoleum, containing the celebrated terracotta warriors, but we’ll also consider less well-known mortuary contexts. We will also critically examine the dead body as a privileged site for anthropological research, situating its study within the broader purview of anthropological theories of the body's production and constitution. $25 Anthropology Lab Fee. Satisfies Global Core Requirement (Columbia College and General Studies).
Co-requisite discussion section for FILM UN 2030 Cinema History III: 1960-90.
In this course we will study the late colonial and early post-colonial periods of South Asian history together. Some of the events we will cover include: the climax of anti-colonial movements in South Asia, WWII as it developed in South and Southeast Asia, the partition of British India, the two Indo-Pakistan wars, and the 1971 Bangladesh War. While we will read selected secondary literature, we will focus on a range of primary sources, including original radio broadcasts and oral history interviews. We will also study artistic interpretations of historical developments, including short stories and films. In this course, we will strive to remain attentive to the important changes engendered by colonialism, while simultaneously recognizing the agency of South Asians in formulating their own modernities during this critical period. We will also seek to develop a narrative of modern South Asian history, which is attentive to parallel and/or connected events in other regions.
Prerequisites: CHEM UN2045 Premedical students may take CHEM UN2045, CHEM UN2046, 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 UN2046, YOU MUST REGISTER FOR UN2048 RECITATION
Sustainability is a powerful framework for thinking about business, economics, politics and environmental impacts. An overview course, Environmental Policy & Governance will focus specifically on the policy elements of sustainability. With an emphasis on the American political system, the course will begin by exploring the way the American bureaucracy addresses environmental challenges. We will then use the foundations established through our understanding of the US system to study sustainable governance at the international level. With both US and international perspectives in place, we will then address a range of specific sustainability issues including land use, climate change, food and agriculture, air quality, water quality, and energy. Over the course of the semester, we will study current events through the lens of sustainability policy to help illustrate course concepts and theories.
This course is designed as travellers guide to medieval Europe. Its purpose is to provide a window to a long-lost world that provided the foundation of modern institutions and that continues to inspire the modern collective artistic and literary imagination with its own particularities. This course will not be a conventional history course concentrating on the grand narratives in the economic, social and political domains but rather intend to explore the day-to-day lives of the inhabitants, and attempts to have a glimpse of their mindset, their emotional spectrum, their convictions, prejudices, fears and hopes. It will be at once a historical, sociological and anthropological study of one of the most inspiring ages of European civilization. Subjects to be covered will include the birth and childhood, domestic life, sex and marriage, craftsmen and artisans, agricultural work, food and diet, the religious devotion, sickness and its cures, death, after death (purgatory and the apparitions), travelling, merchants and trades, inside the nobles castle, the Christian cosmos, and medieval technology. The lectures will be accompanied by maps, images of illuminated manuscripts and of medieval objects. Students will be required to attend a weekly discussion section to discuss the medieval texts bearing on that weeks subject. The written course assignment will be a midterm, final and two short papers, one an analysis of a medieval text and a second an analysis of a modern text on the Middle Ages.
MANDATORY Discussion Section for HIST UN 2072 Daily Life in Medieval Europe. Students must also be registered for HIST UN 2072.
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.
Serves as an introduction to the chemical engineering profession. Students are exposed to concepts used in the analysis of chemical engineering problems. Rigorous analysis of material and energy balances on open and closed systems is emphasized. An introduction to important processes in the chemical and biochemical industries is provided.
Introduction to design for a sustainable planet. Scientific understanding of the challenges. Innovative technologies for water, energy, food, materials provision. Multi-scale modeling and conceptual framework for understanding environmental, resource, human, ecological and economic impacts and design performance evaluation. Focus on the linkages between planetary, regional and urban water, energy, mineral, food, climate, economic and ecological cycles. Solution strategies for developed and developing country settings.
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 lecture course focuses on the many different forms of drama that emerged in England in the decades before William Shakespeare started writing. The drama of sixteenth-century England found its stages in a bewildering variety of venues: the city streets, boys’ grammar schools, the universities of Oxford and Cambridge, the Inns of Court, the royal court, civic halls, private households, and inns. This course will introduce students to a range of plays in all genres (tragedies, comedy, history), and use these plays to explore aspects of Elizabeth theatre, including the playhouses, companies, repertory, playwriting, and the printing of plays. No knowledge of Shakespeare’s plays is required.
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.
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: BCRS UN1102 or the equivalent. Readings in Serbian/Croatian/Bosnian literature in the original, with emphasis depending upon the needs of individual students.
Prerequisites: BENG UN1101 and BENG UN1102 or the instructor's permission. Further develops a student's knowledge of Bengali, a major language of northeast India and Bangladesh.
This course is for students who have taken first-year Burmese or learned some Burmese elsewhere and know how to read and write Burmese script. Students will continue learning all major aspects of the language at the intermediate level, including the reading and understanding of formal-style texts. In spoken Burmese, students will practice communicating at the increasingly complicated and practically useful level. Some of the assignments are completed online using interactive video and audio materials.
Prerequisites: (CANT W1101 and CANT UN1102) CANT W1101-W1102 or the instructor's permission. This course further continues the study of the Cantonese language. Emphasis is on linguistic rules to enable students to communicate with more competence. The lessons will not only focus on language, but also incorporate discussions on history, current events, literature, popular culture, and native values. Includes field trips to Chinatown and other Cantonese-speaking neighborhoods. Note: This course is part of the language exchange program with New York University (NYU). Classes will be held at NYU.
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: 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: FILI W1101-W1102 or the instructor's permission. Emphasis is placed on the linguistic rules to enable students to communicate with more competence. The lessons will not only focus on language but also will use a holistic approach and incorporate discussions on history, current events, literature, pop culture, and native values. Note: This course is part of the language exchange program with New York University (NYU). Classes will be held at NYU.
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.