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.
(Formerly R3701) An introductory course in black-and-white photography, Photography I is required for admission to all other photo classes. Students are initially instructed in proper camera use and basic film exposure and development. Then the twice weekly meetings are divided into lab days where students learn and master the fundamental tools and techniques of traditional darkroom work used in 8x10 print production and classroom days where students present their work and through the language of photo criticism gain an understanding of photography as a medium of expression. Admitted students must obtain a manually focusing 35mm camera with adjustable f/stops and shutter speeds. No prior photography experience is required. Due to the necessity of placing a cap on the number of students who can register for our photography courses, the department provides a wait list to identify and give priority to students interested in openings that become available on the first day of class. If the class is full, sign up for the wait list at
http://arts.columbia.edu/photolist
.
Exploring a diverse array of sources from literature, psychology, and philosophy, we will consider questions such as: Can anything general be said about the structure of the creative process? What is the nature of the creative experience, and what significance does it have for finding happiness and meaning in life? Is there really a link between madness and creative genius? Can creativity be measured and explained? Can it be learned and taught? Through a varied series of assignments, students will be expected to think and write clearly, critically – and creatively! – about creativity. Authors include, Mihaly Csikszentmihalyi, Kay Jamison, Plato, Walt Whitman.
As of academic year 2016-17, this course is now MDES 1702. An introduction to the spoken and written language of contemporary Iran. No P/D/F or R credit is allowed for this class.
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.
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.
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.
The course is designed to be a free flowing discussion of the principals of sustainable development and the scope of this emerging discipline. This course will also serve to introduce the students to the requirements of the undergraduate program in sustainable development and the content of the required courses in both the special concentration and the major. The focus will be on the breadth of subject matter, the multidisciplinary nature of the scholarship and familiarity with the other key courses in the program. Offered in the Fall and Spring.
Laboratory for
ASTR W1403
. Projects include observations with the department's telescopes, computer simulation, laboratory experiments in spectroscopy, and the analysis of astronomical data. Lab 1 ASTR W1903 - goes with ASTR BC1753, ASTR W1403 or ASTR W1453.
Laboratory for
ASTR W1404
. Projects include use of telescopes, laboratory experiments in the nature of light, spectroscopy, and the analysis of astronomical data. Lab 2 ASTR W1904 - goes with ASTR BC1754 or ASTR W1404 (or ASTR W1836 or ASTR W1420).
As of academic year 2016-17, this course is now MDES 1902. An introduction to the written and spoken language of Turkey. No P/D/F or R credit is allowed for this class.
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).
The course provides an overview of environmental law for students without a legal background. It examines U.S. statutes and regulations regarding air, water, hazardous and toxic materials, land use, climate change, endangered species, and the like, as well as international environmental issues. After completing the course students should be equipped to understand how the environmental laws operate, the role of the courts, international treaties and government agencies in implementing environmental protection, and techniques used in addressing these issues.
Prerequisites:
VIAR R1000
.
Examines the potential of drawing as an expressive tool elaborating on the concepts and techniques presented in VIAR R1001. Studio practice emphasizes individual attitudes toward drawing while acquiring knowledge and skills from historical and cultural precedents. Portfolio required at the end.
Prerequisites: a working knowledge of calculus.
Corequisites: the second term of a course in calculus-based general physics.
Continuation of
ASTR W2001
; 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.
Prerequisites:
EEEB W2001
.
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.
The course introduces Inner Asia, the landlocked heartland of the Eurasian continent, from political, ethnographic and economic perspectives. Inner Asia offers some of the most relevant examples of nomadism, expanding empires, social engineering, state led modernization, ethnic construction and conflict, long distance trade, socialism, capitalist transformation, large weddings, lifetime dictators, glocalization and rampant corruption. This course shows the interactions of these phenomena and their effect on the ground, while providing the basic theory.
The conquests of Alexander the Great spread Greek Civilization all around the eastern Mediterranean and Middle East. This course will examine the Hellenised (greek-based) urban society of the empires of the Hellenistic era (ca. 330-30BCE).
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 W2001
or
BIOL C2005
, 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/
, Students must register for a recitation section BIOL 2016.
Prerequisites:
EEEB W2001
or
BIOL C2005
, 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/
, Students must register for a recitation section BIOL 2016.
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.
Examination of gender differences in the U.S. and other advanced industrial economies. Topics include the division of labor between home and market, the relationship between labor force participation and family structure, the gender earnings gap, occupational segregation, discrimination, and historical, racial, and ethnic group comparisons.
This course rethinks the “birth of cinema” from the vantage of “when old media was new.” Following standard approaches, it moves from
actualities
to fiction, from the “cinema of attractions” to narrative, from the
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 V1201
, or the equivalent.
Prerequisites: MATH UN1201 or the equivalent.
Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
This class will explore drawing as an open-ended way of working and thinking. The class is designed to expose students to the practice of drawing in our contemporary context. Though this is primarily a studio course, class critiques of student work are augmented by feedback from guest artists, lectures and museum/gallery trips. Throughout the semester, students will discuss their work one-on-one with the instructor and as a group. Starting with individual projects, we will investigate drawing as a practice involving diverse forms of visual culture and collaboration.
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.
“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.
Prerequisites:
MATH V1102-MATH V1201
or the equivalent.
Prerequisites:
MATH UN1102 - 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.
The course explores the relationship between music and myth in Western culture, from ancient Greek cosmogony to 20th-century opera. Special emphasis is placed on the way the West, in the footsteps of the ancients, strove to create ritualized images of itself and of its worldview. Specific topics include works by Monteverdi, Gluck, Beethoven, Schubert, Liszt, Offenbach, Wagner, Strauss, and Stravinsky.
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
This course introduces students to current topics in mathematics education through the Barnard College STEM Colloquium Series and discussion sessions. Students will explore the sociopolitical contexts in which STEM education takes place, and consider the implication of these contexts for mathematics teaching and learning in light of the topics presented.
Premedical students may take
CHEM W2045
,
CHEM
W2046
, and
CHEM
W2545
to meet the minimum requirements for admission to medical school. This course covers the same material as
CHEM W2443-
CHEM
W2444
, but is intended for students who have learned the principles of general chemistry in high school OR have completed
CHEM
W1604
in their first year at Columbia. First year students enrolled in
CHEM W2045-
CHEM
W2046
are expected to enroll concurrently in
CHEM W1507
. Although
CHEM
W2045
and
CHEM
W2046
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.
Investigates what it means to teach and what it means to learn in formal or informal urban educational settings. Fieldwork required.
Prerequisites: This course is a pre-requisite for student teaching in elementary schools; Grade of B or better required to continue. Open to Education Program participants; others only with the instructor's permission.
Corequisites: This course must be taken in the spring term of the junior year with corequisite
EDUC BC2055
, Elementary Urban School Practicum.
Provides prospective teachers with theory and methods for teaching elementary school subjects (grades 1-6) to meet intellectual, social and emotional needs of diverse learners. Topics include foundations of multicultural, student-centered and critical pedagogies, all aspects of literacy, utilizing literacy across content areas, constructivist mathematics instruction, authentic assessment, diversity and inclusion.
Prerequisites: This course is a prerequisite for Student Teaching; grade of B or better required to continue. ,Enrollment is limited to students accepted into the Education Program (Urban Teaching or Education Studies). NYCDOE Fingerprinting required.
Corequisites: EDUC BC2052,EDUC BC2062
Consists of weekly class meetings combined with elementary, middle or high school classroom internship (depending on desired certification level). Students observe and apply theoretical principles of pedagogy to teaching and learning. Class meetings provide opportunities to reflect on internship and focus on instructional strategies and classroom management techniques. Meets for two hours per week, plus a minimum of six hours per week in the field. , Section 001: Elementary Urban Teaching (Corequisite: EDUC BC2052) , Section 002: Secondary Urban Teaching (Corequisite: EDUC BC2062) , Section 003: Education Studies (no corequisite courses).
Prerequisites: This course is a prerequisite for student teaching in secondary schools; grade of B or better required to continue.
Corequisites: This course should be taken in the spring term of the junior year with corequisite
EDUC BC2055
. Open to Education Program students; others only with the instructor's permission.
Prospective teachers explore methods for teaching English, social studies, the sciences (biology, physics, earth science and chemistry), mathematics, ancient and foreign languages (Grades 7-12). Topics include multicultural, critical pedagogical methods appropriate to specific content areas, content area standards and literacy, diversity, inclusion, and assessment.
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.
Prerequisites: BIOL BC1500, BIOL BC1501, BIOL BC1502, BIOL BC1503 or the equivalent.
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.
Drawing on classical and contemporary sources, this course will introduce students to a variety of texts that address the philosophical consideration of education, including its role in the development of the individual and the development of a democratic society. Readings from Plato, Rousseau, Dewey, and others.
Prerequisites:
VIAR R1000
.
(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
.
Prerequisites: The department's permission required through writing sample. Please go to 609 Kent for submission schedule and registration guidelines or see http://www.arts.columbia.edu/writing/undergraduate.
Intermediate workshops are for students with some experience with creative writing, and whose prior work merits admission to the class (as judged by the professor). Intermediate workshops present a higher creative standard than beginning workshops, and increased expectations to produce finished work. By the end of the semester, each student will have produced at least seventy pages of original fiction. Students are additionally expected to write extensive critiques of the work of their peers.
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.
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.
Prerequisites: GERM V1102 or the equivalent.
Complete grammar review through regular exercises. Wide range of texts are used for close and rapid reading and writing exercises. Practice in conversation aims at enlarging the vocabulary necessary for daily communication.
Prerequisites:
GREK V1101-1102
or the equivalent.
Selections from Attic prose.
Prerequisites:
ITAL V1102
or
W1102
, or the equivalent. If you did not take Elementary Italian at Columbia in the semester preceding the current one, you must take the placement test, offered by the Italian Department at the beginning of each semester.
A review of grammar, intensive reading, composition, and practice in conversation. Exploration of literary and cultural material. Lab: hours to be arranged.