Equivalent to HUMA C1121 and F1121. Not a historical survey but an analytical study of masterpieces, including originals available in the metropolitan area. The chief purpose is to acquaint students with the experience of a work of art. A series of topics in the development of Western art, selected to afford a sense of the range of expressive possibilities in painting, sculpture, and architecture, such as the Parthenon, the Gothic cathedral, and works of Michelangelo, Bruegel, Picasso, and others. Space is limited. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
Equivalent to Latin 1101 and 1102. Covers all of Latin grammar and syntax in one term to prepare the student to enter Latin 1201 or 1202. This is an intensive course with substantial preparation time outside of class.
Equivalent to MUSI F1123 and C1123. Part of the Core Curriculum since 1947, Music Humanities aims to instill in students a basic comprehension of the many forms of the Western musical imagination. Its specific goals are to awaken and encourage in students an appreciation of music in the Western world, to help them learn to respond intelligently to a variety of musical idioms, and to engage them in the various debates about the character and purposes of music that have occupied composers and musical thinkers since ancient times. The course attempts to involve students actively in the process of critical listening, both in the classroom and in concerts that the students attend and write about. The extraordinary richness of musical life in New York is thus an integral part of the course. Although not a history of Western music, the course is taught in a chronological format and includes masterpieces by Josquin des Prez, Monteverdi, Bach, Handel, Mozart, Haydn, Beethoven, Verdi, Wagner, Schoenberg, and Stravinsky, among others. No previous knowledge of music required. Columbia University undergraduates who need this course for graduation are encouraged to register during early registration.
This course explores ancient literature, art, and philosophy with an eye to questions like: What should we seek or love? How do our goals and loves relate to those of our family, friends, and community? Why is it so hard to discover and then satisfy our real loves? Are loss and suffering requisites for finding our "real" loves? For finding virtue? By applying these questions to ancient texts, we will try to learn something about ourselves as human beings in a time of crisis. This course will count toward the philosophy major.
This course explores ancient literature, art, and philosophy with an eye to questions like: What should we seek or love? How do our goals and loves relate to those of our family, friends, and community? Why is it so hard to discover and then satisfy our real loves? Are loss and suffering requisites for finding our "real" loves? For finding virtue? By applying these questions to ancient texts, we will try to learn something about ourselves as human beings in a time of crisis. This course will count toward the philosophy major.
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. Same course as ITAL V1201-V1202.
Prerequisites: MATH S1102, or the equivalent. Columbia College students who aim at an economics major AND have at least the grade of B in Calculus I may take Calculus III directly after Calculus I. However, all students majoring in engineering, science, or mathematics should follow Calculus I with Calculus II. Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramer's rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers.
Prerequisites: this course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration. Assignments to discussion sections are made after the first lecture. Basic introduction to the study of mechanics, fluids, and thermodynamics. The accompanying laboratory is PHYS S1291D. NOTE: There are two recitation sessions that meet for one hour each week. The recitation times will be selected at the first class meeting.
Introduction to national political institutions and processes. The presidency, Congress, the courts, political parties and elections, interest groups, and public opinion.
Prerequisites: working knowledge of calculus (differentiation and integration). Designed for students who desire a strong grounding in statistical concepts with a greater degree of mathematical rigor than in STAT W1111. Random variables, probability distributions, pdf, cdf, mean, variance, correlation, conditional distribution, conditional mean and conditional variance, law of iterated expectations, normal, chi-square, F and t distributions, law of large numbers, central limit theorem, parameter estimation, unbiasedness, consistency, efficiency, hypothesis testing, p-value,confidence intervals. maximum likelihood estimation. Satisfies the pre-requisites for ECON W3412.
The Poetry Writing Workshop is designed for all students with a serious interest in poetry writing, from those who lack significant workshop experience or training in the craft of poetry to seasoned workshop participants looking for new challenges and perspectives on their work. Students will be assigned writing exercises emphasizing such aspects of verse composition as the poetic line, the image, rhyme and other sound devices, verse forms, repetition, collage, and others. Students will also read an variety of exemplary work in verse, submit brief critical analyses of poems, and critique each others original work.
Prerequisites: ITAL V1201 or W1201, 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. ITAL V1202 fulfils the basic foreign language requirement and prepares students for advanced study in Italian language and literature.
Prerequisites: MATH S1201, or the equivalent. Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem
Prerequisites: MATH S1201, or the equivalent. Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem
Prerequisites: PHYS S1201 or the equivalent. This course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration. The same course as PHYS S1202X, but given in a six-week session. Assignments to discussion sections are made after the first lecture. Basic introduction to the study of electricity, magnetism, optics, special relativity, quantum mechanics, atomic physics, and nuclear physics. The accompanying laboratory is PHYS S1292Q. NOTE: There are two recitation sessions that meet for one hour each week. The recitation times will be selected at the first class meeting.
Prerequisites: Students that are not registering for MDES S1211 will be required to request professor permission (tb46@columbia.edu) to enroll.
Prerequisites: MDES S1210, or the equivalent.
Prerequisites: MDES UN1211-UN1212, or the equivalent.
Prerequisites: Prerequisites: MDES UN1211-UN1212 and UN1214 or the equivalent.
Prerequisites: PHYS S1201. May be taken before or concurrently with this course. Laboratory for PHYS S1201D. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.
Prerequisites: PHYS S1202. May be taken before or concurrently with this course. Laboratory for PHYS 1202X. Assignments to laboratory sections are made after the first lecture. NOTE: Labs meet one day a week (Mon, Tues, Wed or Thurs) 1:00pm - 4:00pm only. There are no evening lab sections.
AHUM UN3399 and AHUM UN3400 form a sequence but either may be taken separately. AHUM UN3399 may also be taken as part of a sequence with AHUM UN3830. Readings in translation and discussion of texts of Middle Eastern, Indian, Chinese, and Japanese origin, including the Analects of Confucius, Mencius, Lao Tzu, Chuang Tzu, the Lotus Sutra, Dream of the Red Chamber, Tale of Genji, Zen literature, Noh plays, bunraku (puppet) plays, Chinese and Japanese poetry. Partially fulfills Global Core Requirement.
Prerequisites: Recommended preparation: a working knowledge of high school algebra. May be counted toward the science requirement for most Columbia University undergraduate students. The overall architecture of the solar system. Motions of the celestial sphere. Time and the calendar. Major planets, the earth-moon system, minor planets, comets. Life in the solar system and beyond.
Prerequisites: high school chemistry and algebra, CHEM S0001, or the department's permission. Topics include stoichiometry, states of matter, nuclear properties, electronic structures of atoms, periodic properties, chemical bonding, molecular geometry, introduction to quantum mechanics and atomic theory, introduction to organic, biological chemistry and inorganic coordination chemistry. Topical subjects may include spectroscopy, solid state and materials science, polymer science and macromolecular structures. The order of presentation of topics may differ from the order presented here. Students are required to attend the separate daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1403D will automatically register students for the recitation section. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1404Q and CHEM S1500 (see below). This course is equivalent to CHEM W1403 General Chemistry I Lecture.
Prerequisites: CHEM S1403 General Chemistry I Lecture or the equivalent. Topics include gases, kinetic theory of gases, states of matter: liquids and solids, chemical equilibria, acids and bases, applications of equilibria, thermochemistry and spontaneous processes (energy, enthalpy, entropy, free energy) as well as chemical kinetics and electrochemistry. The order of presentation of topics may differ from the order presented here. Students must also attend the daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1404Q will automatically register students for the recitation section. The continuation of CHEM S1403D General Chemistry I Lecture. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1403D and CHEM S1500 (see below). This course is equivalent to CHEM UN1404 General Chemistry II Lecture.
Corequisites: CHEM S1404X. To be enrolled in CHEM S1404X, you must be enrolled in CHEM S1406X.
Introduction to the techniques of research employed in the study of human behavior. Students gain experience in the conduct of research, including design of simple experiments, observation and measurement techniques, and the analysis of behavioral data.
Prerequisites: (CHEM UN1403) Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry. To be enrolled in CHEM S1500X you must also register for CHEM S1501 Lab Lecture.
Prerequisites: (CHEM UN1403) Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry. To be enrolled in CHEM S1500X you must also register for CHEM S1501 Lab Lecture.
Corequisites: CHEM S1500 Lab lecture for CHEM S1500 General Chemistry Laboratory.
This course is intended to be both an interdisciplinary introduction to the city and to the field of Urban Studies. As an introduction to the city, the course will address a variety of questions: What is a city? How did cities develop? How do cities function socially, politically, and economically? Why do people live in cities? What are some of the major issues facing cities in the early twenty-first century, and how can cities address these issues? As an introduction to the interdisciplinary field of Urban Studies, the course will present models of how scholars approach cities from a variety of disciplinary viewpoints, including architecture, planning, law, sociology, history, archaeology, anthropology, political science, public policy, and geography. Students will learn some of the major concepts in the field of Urban Studies, and will study the works of leading scholars in the field. Students in the course will approach cities from a number of disciplines, not only through the reading, but also through assignments that take place in different locations throughout New York City.
This course is intended to be both an interdisciplinary introduction to the city and to the field of Urban Studies. As an introduction to the city, the course will address a variety of questions: What is a city? How did cities develop? How do cities function socially, politically, and economically? Why do people live in cities? What are some of the major issues facing cities in the early twenty-first century, and how can cities address these issues? As an introduction to the interdisciplinary field of Urban Studies, the course will present models of how scholars approach cities from a variety of disciplinary viewpoints, including architecture, planning, law, sociology, history, archaeology, anthropology, political science, public policy, and geography. Students will learn some of the major concepts in the field of Urban Studies, and will study the works of leading scholars in the field. Students in the course will approach cities from a number of disciplines, not only through the reading, but also through assignments that take place in different locations throughout New York City.
A survey of major concepts and issues in international relations. Issues include anarchy, power, foreign policy decision-making, domestic politics and foreign policy, theories of cooperation and conflict, international security and arms control, nationalism, international law and organizations, and international economic relations.
As of academic year 2016-17, this course is now MDES 1601. An introduction to the most widely spoken language of South Asia. Along with an understanding of the grammar, the course offers practice in listening and speaking. The Hindi (Devanagari) script is used for reading and writing. No P/D/F or R credit is allowed for this class.
Prerequisites: PSYC W1001 or PSYC W1010 or the equivalent. Recommended preparation: one course in behavioral science and knowledge of high school algebra. Recommended preparation: One course in behavioral science and knowledge of high school algebra. An introduction to statistics that concentrates on problems from the behavioral sciences.
As of academic year 2016-17, this course is now MDES 1602. An introduction to the most widely spoken language of South Asia. Along with an understanding of the grammar, the course offers practice in listening and speaking. The Hindi (Devanagari) script is used for reading and writing. No P/D/F or R credit is allowed for this class.
This is the required discussion section for POLS UN1601.
This is an undergraduate lecture course introducing students to the study of religion through an engagement with the history of hip hop music. More specifically, this course is organized chronologically to narrate a history of religion in the United States (circa 1970 to the present day) by mapping the ways that a variety of religious ideas and practices have animated rap music’s evolution and expansion during this time period. While there are no required prerequisites for the course, prior coursework in religious studies, African American studies, and/or popular music is helpful.
This is an undergraduate lecture course introducing students to the study of religion through an engagement with the history of hip hop music. More specifically, this course is organized chronologically to narrate a history of religion in the United States (circa 1970 to the present day) by mapping the ways that a variety of religious ideas and practices have animated rap music’s evolution and expansion during this time period. While there are no required prerequisites for the course, prior coursework in religious studies, African American studies, and/or popular music is helpful.
This is an undergraduate lecture course introducing students to the study of religion through an engagement with the history of hip hop music. More specifically, this course is organized chronologically to narrate a history of religion in the United States (circa 1970 to the present day) by mapping the ways that a variety of religious ideas and practices have animated rap music’s evolution and expansion during this time period. While there are no required prerequisites for the course, prior coursework in religious studies, African American studies, and/or popular music is helpful.
“The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester. Therefore, (1) students must be engaged during the semester in an internship or other experiential learning opportunity, and (2) students must fill out a an application (which is provided upon registering for the waitlist of their section) prior to registration indicating which Core text they would like to study in conjunction with their internship or experiential learning opportunity, and how it relates to their major/concentration and internship or experiential learning.
Students are eligible to enroll in HUMA UN2000 only after they have (1) completed the sophomore year and (2) declared their major (or concentration).
HUMA UN2000 may not be taken with the pass/d/fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice. NOTE: In order to be enrolled for your section, you must register for the waitlist and complete the application form (application link will be provided after enrolling for the waitlist). Once your application is received, you will then be manually enrolled in the course by the Core office.
“The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester. Therefore, (1) students must be engaged during the semester in an internship or other experiential learning opportunity, and (2) students must fill out a an application (which is provided upon registering for the waitlist of their section) prior to registration indicating which Core text they would like to study in conjunction with their internship or experiential learning opportunity, and how it relates to their major/concentration and internship or experiential learning.
Students are eligible to enroll in HUMA UN2000 only after they have (1) completed the sophomore year and (2) declared their major (or concentration).
HUMA UN2000 may not be taken with the pass/d/fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice. NOTE: In order to be enrolled for your section, you must register for the waitlist and complete the application form (application link will be provided after enrolling for the waitlist). Once your application is received, you will then be manually enrolled in the course by the Core office.
“The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester. Therefore, (1) students must be engaged during the semester in an internship or other experiential learning opportunity, and (2) students must fill out a an application (which is provided upon registering for the waitlist of their section) prior to registration indicating which Core text they would like to study in conjunction with their internship or experiential learning opportunity, and how it relates to their major/concentration and internship or experiential learning.
Students are eligible to enroll in HUMA UN2000 only after they have (1) completed the sophomore year and (2) declared their major (or concentration).
HUMA UN2000 may not be taken with the pass/d/fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice. NOTE: In order to be enrolled for your section, you must register for the waitlist and complete the application form (application link will be provided after enrolling for the waitlist). Once your application is received, you will then be manually enrolled in the course by the Core office.
“The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester. Therefore, (1) students must be engaged during the semester in an internship or other experiential learning opportunity, and (2) students must fill out a an application (which is provided upon registering for the waitlist of their section) prior to registration indicating which Core text they would like to study in conjunction with their internship or experiential learning opportunity, and how it relates to their major/concentration and internship or experiential learning.
Students are eligible to enroll in HUMA UN2000 only after they have (1) completed the sophomore year and (2) declared their major (or concentration).
HUMA UN2000 may not be taken with the pass/d/fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice. NOTE: In order to be enrolled for your section, you must register for the waitlist and complete the application form (application link will be provided after enrolling for the waitlist). Once your application is received, you will then be manually enrolled in the course by the Core office.
This 28-day course is an immersion in Parisian culture from the point of view of the dancer. The course is divided into three major components: technique, composition, and history. Students will take a series of technique classes in modern, ballet, improvisation, world dance forms, and yoga, taught by Barnard/USF and international guest faculty, as well as opportunities to take alternative technique classes in some of Paris’s professional dance studios. Students will be exposed to the rich artistic side of Paris through lectures and performances, as well as assigned readings by major dancers/writers/artists who have drawn on the Parisian landscape as inspiration for their work. A final choreographic project based on compositional exercises that will take students to various Parisian locales, will be presented during the final week of the course. We will also visit many important locations essential to studying the history of dance in Western culture, including Versailles, Théâtre de la Ville and the Paris Opera.
Prerequisites: MATH S1201 Calculus III, or the equivalent. Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.
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.
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.
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.
Prerequisites: Equivalent to GERM UN2101 Topics include personal interests, biographies, German unification, stereotypes, and German-American relations. Assignments and activities are diversified to integrate undergraduate and graduate students’ academic and personal interests. Upon successful completion of the course (with a minimum grade of B), students should achieve intermediate-high proficiency (ACTFL scale) in speaking, listening, reading, and writing German. Students are advised that this course is a full-time commitment. Students should expect to study 2 hours every day for every hour spent in the classroom and additional time on weekends. Students planning to study in Berlin in spring are advised to complete GERM S2101 in the Summer Session. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to GERM UN2101 taught during the regular semesters.
Prerequisites: RUSS UN1101 and RUSS UN1102 or placement test $15.00= Language Resource Fee, $15.00 = Materials Fee , Builds upon skills acquired at introductory level. Emphasis on speaking, reading, writing, and grammar review. Taken with RUSS S2102R, equivalent to full-year intermediate course.
Prerequisites: SPAN S1102, or the equivalent. Equivalent to SPAN C1201 or F1201. Rapid grammar review, composition, and reading of literary works by contemporary authors.