Required recitation session for students enrolled in APMA E2000.
Prerequisites: a working knowledge of calculus. Corequisites: a course in calculus-based general physics. First term of a two-term calculus-based introduction to astronomy and astrophysics. Topics include the physics of stellar interiors, stellar atmospheres and spectral classifications, stellar energy generation and nucleosynthesis, supernovae, neutron stars, white dwarfs, and interacting binary stars.
Atoms; elements and compounds; gases; solutions; equilibrium; acid-base, precipitation, and oxidation-reduction reactions; thermochemistry. Laboratory one day a week. Laboratory experience with both qualitative and quantitative techniques. Counts towards Lab Science Requirement.
Introductory biology course for majors in biology or environmental biology, emphasizing the ecological and evolutionary context of modern biology.
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.
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.
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)
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.
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.
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.
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.
Salsa Soca Reggae is an introduction to Caribbean popular music that surveys music from 1800 to the present. The course focuses on the cultural and social history of the music and traces its influence on global cultural and musical expression.
Co-requisite for FILM UN 2020 Cinema History II.
Music in Contemporary Native America is a historical, ethnographic, and topical examination of contemporary Native American musical practices and ideologies. The course emphasizes popular, vernacular, and mass mediated musics, and calls into question the simple distinction between traditional and modern aspects of Native American cultures. Our readings and class guests (several of whom will be Native American scholars) emphasize the importance of understanding Native 2 American perspectives on these topics. Three short papers and one substantial final project are required. Approximately 100-150 pages of reading per week.
Music in Contemporary Native America is a historical, ethnographic, and topical examination of contemporary Native American musical practices and ideologies. The course emphasizes popular, vernacular, and mass mediated musics, and calls into question the simple distinction between traditional and modern aspects of Native American cultures. Our readings and class guests (several of whom will be Native American scholars) emphasize the importance of understanding Native 2 American perspectives on these topics. Three short papers and one substantial final project are required. Approximately 100-150 pages of reading per week.
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
.
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.
Discussion section for course ANTH UN2028 THINK LIKE AN ARCHAEOLOGIST
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.
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.
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.
This module is designed to provide students with a thorough understanding of conceptual and empirical debates about religion and politics in South Asia. The rise in public manifestations of religions in the last two decades in almost all parts of the world has led to much rethinking and reconsideration of the relationship of religious thought and practice to political structures and dynamics. We will take a theoretically informed and empirically grounded look at the imbrication of religion and politics in the wider South Asia region, including Bangladesh, India, Nepal, Pakistan and Sri Lanka. The course allows an insight into the diversity of religious ideas and practices in the region, historical variations, influence of colonialism and the relationship with globalization. We will engage with scholarship on these themes from the disciplines of history, anthropology and political science.
Prior familiarity with the region is not required.
By the end of this course, students should be able to:
-understand recent debates social sciences regarding conceptualizing and defining religion
-understand the limitations of previous frameworks for assessing the role of religion in political processes across South Asia
-recognize key transformations in different religious traditions across South Asia.
-develop a nuanced and critical approach to analysing religion and politics more generally
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
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.
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.
ENGL GU4091 Introduction to Old English will be renumbered to ENGL UN2091 with a graduate section added to ENGL GR6998.
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 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.
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.