This series of classes will provice the practice of T'ai Chi Chuan as a moving meditation and health maintenance exercise. This process involves both physical and nonphysical work and introduces T'ai Chi as an exercise of consciousness. There will also be recommended reading selections in the history and philosophical underpinnings of T'ai Chi. No pre-requisite for this course. Each class will consist of physical practice of the T'ai Chi sequence of movements/postures, also discussion including history of and principles of T'ai Chi.
An introduction to Hatha Yoga focusing on the development of the physical body to increase flexibility and strength. Breathing practices and meditation techniques that relax and revitalize the mind and body are included.
How do our material choices shape our cultural and individual narratives? How do the things we make, buy, use, keep, and discard tell stories, impact our environment, and help define who we are? Americans create over 125 million tons of landfill every year, and up to 60%-80% of global greenhouse gas emissions have been traced to household consumption (food, stuff, and transport). With this contemporary reality as our reference point, we will examine how designed and built objects contribute to the human story over time, and how our decisions about “things and stuff” might change our stories moving forward.
Can a ballet tell the same story as a Shakespeare tragedy? Do the violent fantasies of a fairytale shape romantic comedy? What does Bollywood have to do with Victorian England? Using as textual anchors Grimms’ Snow White, Shakespeare’s
Romeo and Juliet
, Hardy’s
Tess of the D’Urbervilles
, and Woolf’s
Mrs Dalloway
, this course will explore poems, paintings, films, musicals, dance, illustration, advertisement and song to consider the accretion of meaning that results when stories cross, historical, cultural, and generic borders.
Prerequisites: Recommended preparation: A working knowledge of high school algebra.
Corequisites: Suggested parallel laboratory course: ASTR C 1904y.
Examines the properties of stars, star formation, stellar evolution and nucleosynthesis, the Milky Way and other galaxies, and the cosmological origin and evolution of the universe. Students may not receive credit for both ASTR BC 1754 and ASTR C1404.
Survey of African history from the 18th century to the contemporary period. We will explore six major themes in African History: Africa and the Making of the Atlantic World, Colonialism in Africa, the 1940s, Nationalism and Independence Movements, Post-Colonialism in Africa, and Issues in the Making of Contemporary Africa.
Prerequisites: any 1000-level course in the Physics or Astronomy Department. May be taken before or concurrently with this course.
Lectures on current areas of research with discussions of motivation, techniques, and results, as well as difficulties and unsolved problems. Requirements include weekly problem sets and attendance of lectures.
Laboratory for
ASTR UN1403
. Projects include observations with the department's telescopes, computer simulation, laboratory experiments in spectroscopy, and the analysis of astronomical data. Lab 1 ASTR UN1903 - goes with ASTR BC1753, ASTR UN1403 or ASTR UN1453.
Laboratory for
ASTR UN1404
. Projects include use of telescopes, laboratory experiments in the nature of light, spectroscopy, and the analysis of astronomical data. Lab 2 ASTR UN1904 - goes with ASTR BC1754 or ASTR UN1404 (or ASTR UN1836 or ASTR UN1420).
Prerequisites: (PSYC UN1001) or equivalent introductory course in psychology.
This course explores the ethical theory, principles, codes and standards applicable to research in psychology and the complexities inherent in ethical research practice.
Differential and integral calculus of multiple variables. Topics include partial differentiation; optimization of functions of several variables; line, area, volume, and surface integrals; vector functions and vector calculus; theorems of Green, Gauss, and Stokes; applications to selected problems in engineering and applied science.
Introduction to understanding and writing mathematical proofs. Emphasis on precise thinking and the presentation of mathematical results, both in oral and in written form. Intended for students who are considering majoring in mathematics but wish additional training. CC/GS: Partial Fulfillment of Science Requirement. BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).
Prerequisites: a working knowledge of calculus.
Corequisites: the second term of a course in calculus-based general physics.
Continuation of
ASTR UN2001
; these two courses constitute a full year of calculus-based introduction to astrophysics. Topics include the structure of our galaxy, the interstellar medium, star clusters, properties of external galaxies, clusters of galaxies, active galactic nuclei, and cosmology.
Unconventional, alternative energy resources. Technological options and their role in the world energy markets. Comparison of conventional and unconventional, renewable and non-renewable energy resources and analysis of the consequences of various technological choices and constraints. Economic considerations, energy availability, and the environmental consequences of large-scale, widespread use of each particular technology. Introduction to carbon dioxide capture and carbon dioxide disposal as a means of sustaining the fossil fuel option.
Prerequisites: EEEB UN2001
Second semester of introductory biology sequence for majors in enviromnental biology and environmental science, emphasizing the ecological and evolutionary aspects of biology. Also intended for those interested in an introduction to the principles of ecology and evolutionary biology.
Prerequisites: Physics BC2001 or the equivalent.
Corequisites: Calculus II.
Charge, electric field, and potential. Gauss's law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwell's equations.
Prerequisites: Physics BC2001 or the equivalent.
Corequisites: Calculus II.
Charge, electric field, and potential. Gauss's law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwell's equations.
Prerequisites: Physics BC2001 or the equivalent.
Corequisites: Calculus II.
Charge, electric field, and potential. Gauss's law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwell's equations.
Introduction to the theory and practice of “ethnography”—the intensive study of peoples’ lives as shaped by social relations, cultural images, and historical forces. Considers through critical reading of various kinds of texts (classic ethnographies, histories, journalism, novels, films) the ways in which understanding, interpreting, and representing the lived words of people—at home or abroad, in one place or transnationally, in the past or the present—can be accomplished.
Interdisciplinary and thematic approach to the African diaspora in the Americas: its motivations, dimensions, consequences, and the importance and stakes of its study. Beginning with the contacts between Africans and the Portuguese in the 15th century, this class will open up diverse paths of inquiry as students attempt to answer questions, clear up misconceptions, and challenge assumptions about the presence of Africans in the 'New World.'
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.
Prerequisites: EEEB UN2001 or BIOL UN2005, or the instructor's permission.
Lecture and recitation. Recommended second term of biology for majors in biology and related majors, and for premedical students. Cellular biology and development; physiology of cells and organisms. Website:
http://www.columbia.edu/cu/biology/courses/c2006/
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 Students must register for a recitation section BIOL UN2016.
Prerequisites: EEEB UN2001 or BIOL UN2005, or the instructor's permission.
Lecture and recitation. Recommended second term of biology for majors in biology and related majors, and for premedical students. Cellular biology and development; physiology of cells and organisms. Website:
http://www.columbia.edu/cu/biology/courses/c2006/
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 Students must register for a recitation section BIOL UN2016.
This class places into comparative focus one of the oldest and one of the newest forms of global cinema outside of the U.S. It introduces and examines these film industries - their platforms, histories, aesthetics, and place in postcolonial life. We will explore how nonwestern contexts of film production and exhibition offer alternative histories of film. Topics include: aesthetics and genre; space and urbanization; colonialism and postcolonialism, shifting platforms of media exhibition, globalization, the notion of the popular and its relation to art.
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.
Lecture and recitation. No previous study of Islam is required. The contemporary Islamic world studied through freshly translated texts; recorded interviews with religious, political, and intellectual leaders; and films highlighting the main artistic and cultural currents. Topics include religion and society, religion and politics, issues of development, theories of government, gender issues, East-West confrontation, theatre, arts, films, poetry, music, and the short novel.
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
cinématographe
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 archivist’s dilemma in the digital era. FILM W2011
Prerequisites:
MATH S1201
Calculus III, or the equivalent.
Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. ,Enrollment in laboratory limited to 16 students per section.
Corequisites: BIOL UN2006
Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. ,Enrollment in laboratory limited to 16 students per section.
Corequisites: BIOL UN2006
Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. ,Enrollment in laboratory limited to 16 students per section.
Corequisites: BIOL UN2006
Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. ,Enrollment in laboratory limited to 16 students per section.
Corequisites: BIOL UN2006
Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. ,Enrollment in laboratory limited to 16 students per section.
Corequisites: BIOL UN2006
Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
The musical and cultural features of jazz, beginning in 1900.
Prerequisites: (ECON BC1003 or ECON UN1105)
This course covers the core microeconomic theories and concepts needed to understand health and health care issues in the United States. It describes how the markets for health and health services are different from those for other goods, with an emphasis on providing the tools and skills for understanding health policy and regulations. In addition, it discusses theoretical and empirical aspects of key health economics issues, with a primary focus on applying the tools of economic analysis to understand the basic forces—supply and demand, asymmetric information, incentives, and externalities, for example—that influence health policies.
“Freestyle,” the important 2001exhibition held at the Studio Museum in Harlem in New York, helped usher a generation of artists into public discourse and scrutiny. The exhibition highlighted a cacophony of influences, histories, and art tendencies. The wide array of artworks and approaches to art making that it put on display challenged the art world and questioned conventional thinking about art made by artists of color in the twenty-first century. Taking the "Freestyle" exhibition as a point of departure, this course will explore a series of questions including: How do the after-effects of displacement radically change an artist’s way of making art? What kind of impact have contemporary notions of diaspora, migration and exile have on the new art practices? What insights do these new practices and the objects and performances that result from them produce? We will study the visual art practices related to this trajectory and the exhibitions that contextualize them. At the same time, the course will challenge students to experiment and construct artworks from their own subjectivities in ways that intersect with the questions and concepts that arise from the investigation.
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.
Corequisites: ANTH UN2028
Required discussion section for ANTH UN2028
Corequisites: ANTH UN2028
Required discussion section for ANTH UN2028
Corequisites: ANTH UN2028
Required discussion section for ANTH UN2028
Corequisites: ANTH UN2028
Required discussion section for ANTH UN2028
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: 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.
This course is designed as traveller’s 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 week’s 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.
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.
MANDATORY Discussion Section for HIST UN 2088 The Historical Jesus and the Origin of Christianity. Students must also be registered for HIST 2088.
Prerequisites: BIOL BC1500, BIOL BC1501, BIOL BC1502, BIOL BC1503 or the equivalent. This course is a pre-requisite for most 3000-level courses.
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.
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.
Prerequisites: Calculus III.
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).
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: two terms of college French or two years of secondary school French. Equivalent to
FREN UN2101
.
$15.00= Language Resource Fee, $15.00 = Materials Fee
Equivalent to
French UN2101
. Prepares students for advanced French language and cultures, focusing on developing correct usage through explanations and practice. Gaining a deeper understanding of the French language through readings of poems and short stories, students practice a variety of communication tasks, as they are engaged in ever more complex forms of discourse. Daily assignments, quizzes, laboratory work, and screening of video materials.