Prerequisites: none.
Corequisites: none.
A general introduction to computer science concepts, algorithmic problem-solving capabilities, and programming skills in MATLAB. Assumes no prior programming background.
An interdisciplinary course in computing intended for first year SEAS students. Introduces computational thinking, algorithmic problem solving and Python programming with applications in science and engineering. Assumes no prior programming background.
Facilitates students' entry into the intellectual life of the university by helping them to become more capable and independent academic readers and writers. With its small section size and emphases on critical analysis, revision, collaboration, and research, the course leads students to develop specific skills and general habits of mind important to their future academic success. Students read and discuss a range of contemporary essays, complete regular informal reading and writing exercises, and write four longer papers.
The study of nonhuman primate behavior from the perspective of phylogeny, adaptation, physiology and anatomy, and life history. This course focuses on the four main problems primates face: Finding appropriate food, avoiding being eaten themselves, reproducing in the face of competition and dealing with social partners. Note: Separate registration is not required for discussion section. [No previous knowledge of science is assumed.] Fulfills a science requirement for most Columbia and GS undergraduates. First three weeks Tu/Th 1:00-5:20, last two weeks M,Tu/Th 1:00-5:20 [Lecture--1:00-4:10, discussion section/films--4:20-5:20 as per course during academic year] Field trip: Date TBD. Trip to Central Park Zoo-during class time; students pay for public transportation.
The processes and history of our planet. Origin of the elements. Formation of the earth and solar system. Evidence for the large scale structures and dynamics of the whole Earth, including plate tectonics, the formation of continents and ocean basins. Processes that shape the Earth's surface. An optional field trip is offered to Central Park in June. Field trip report is accepted in lieu of term paper. Separate registration not necessary for Sec. B1. Lecture and lab.
Equivalent to FREN C1101 or F1101. Designed to help students understand, speak, read, and write French, and to recognize cultural features of French-speaking communities, now with the help of a newly digitized audio program. Students learn to provide information in French about their feelings, environment, families, and daily activities. Daily assignments, quizzes, laboratory work, and screening of video material.
Equivalent to ITAL V1101. Students will develop listening, speaking, reading, and writing skills in Italian and an understanding of Italian culture. Upon successful completion of this course, students should be able to provide basic information in Italian about themselves, their families, interests, likes and dislikes, and daily activities; participate in a simple conversation on everyday topics; to read edited texts on familiar topics; and produce Italian with basic grammatical accuracy and accurate pronunciation.
Prerequisites: high school mathematics through trigonometry or
MATH S1003
, or the equivalent.
Functions, limits, derivatives, introduction to integrals.
Designed to develop all four skills: speaking, listening, reading, and writing. Taken with RUSS S1102R, equivalent to full-year elementary course.
Elementary course, equivalent to SPAN V1101 or F1101. Fundamental principles of grammar; practice in pronunciation. Reading and conversation are introduced from the beginning. Use of the language laboratory is required.
The Nonfiction Writing Workshop is designed for students new to the practice of such genres as reportage, criticism, biography and memoir. Various techniques are explored through exercises and other assignments. Critique of student work is supplemented by outside readings.
Prerequisites: one term of college French or one year of secondary school French.
Equivalent to FREN C1102 or F1102. Continues the work of French S1101D and completes the study of elementary French. Students continue to develop communicative skills, narrating recent events (past, present, and future), describing daily life activities, and learning about cultural features of France and of the wider Francophone world. Following the communicative approach, students, with the help of the instructor, learn to solve problems using the language, to communicate their feelings and opinions, and to obtain information from others. Daily assignments, quizzes, laboratory work, and screening of video materials.
Prerequisites:
ITAL S1101
, or the equivalent.
Continues the work of ITAL 1101 and completes the study of elementary Italian. Students continue to develop communicative skills (listening, speaking, reading, and writing skills). Upon successful completion of this course, students should be able to provide basic information in Italian about wants and needs, personal opinions and wishes, personal experiences, past activities, and daily routines; read simple texts on familiar matters of high frequency everyday or job-related language; draw on a repertoire of vocabulary and syntax sufficient for dealing with everyday situations.
Prerequisites:
MATH S1101
Calculus I, or the equivalent.
Methods of integration, applications of the integral, Taylor's theorem, infinite series.
Prerequisites: one semester of college-level Russian, or the equivalent, and the instructor's permission.
Continuation of RUSS S1101H.
Prerequisites:
SPAN S1101
, or the equivalent.
Equivalent to SPAN F1102 or V1102. Grammar exercises, prose readings, and practice in the spoken language.
Equivalent to ECON W1105, the first course for the major in economics. How a market economy determines the relative prices of goods, factors of production, and the allocation of resources; the circumstances under which it does these things efficiently. Why such an economy has fluctuations and how they may be controlled.
Prerequisites: some high school algebra.
Designed for students in fields that emphasize quantitative methods. This course satisfies the statistics requirements of all majors except statistics, economics, and engineering. Graphical and numerical summaries, probability, theory of sampling distributions, linear regression, confidence intervals, and hypothesis testing are taught as aids to quantitative reasoning and data analysis. Use of statistical software required. Illustrations are taken from a variety of fields. Data-collection/analysis project with emphasis on study designs is part of the coursework requirement.
Prerequisites: no previous knowledge of German required, but some background is strongly recommended.
Equivalent to GERM F1113-F1114. This accelerated survey of German grammar, reading techniques, and dictionary skills is designed primarily for graduate students preparing for reading proficiency exams or wishing to do research in German-language literature. Extensive exercises in translation, reading for general comprehension, and specialized reading are based on texts drawn from the students' fields of study. Although this course does not satisfy any part of the foreign language requirement for degree candidates, successful completion of the translation on the final exam fulfills the German reading proficiency requirement in most graduate programs.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.
Equivalent to GERM V1101 and V1102. This intensive program provides one year of German in one six-week session. The course enables students to understand, speak, read, and write in German about a range of subjects: family activities, studies, work and home life, as well as travel, economics, and current events. Classes are conducted entirely in German and supplemented with written homework and audiovisual materials. The program draws on the German heritage of New York City (museums, Goethe Institut, restaurants, etc.). Students are encouraged to attend German-language films and musical performances. Students have many opportunities for informal conversation. Final grades are based on frequent oral and written tests, a project on German culture in New York, and a final examination. Students are advised that this course consitutes a full-time commitment. The workload of this course is very intense and students will be expected to spend 4-6 hours studying every day outside of class and additional time on weekends.
Equivalent to Greek 1101 and 1102. Covers all of Greek grammar and syntax in one term to prepare the student to enter Greek 1201 or 1202. This is an intensive course with substantial preparation time outside of class.
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 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 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.
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.
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.
Prerequisites: two terms of college French or two years of secondary school French.
Equivalent to French C1201 and F1201. 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:
GERM V1102
or
GERM S1121
, or the equivalent.
Equivalent to GERM V1201. Prepares students for GERM 1202 and for advanced German language and literature courses. Topics include personal interests, biographies, German unification, stereotypes, and German-American relations. Upon completion of the course, students should achieve intermediate-high proficiency (ACTFL scale) in speaking, listening, reading, and writing German. Students planning to study in Berlin in spring are advised to complete GERM S1201 in the Summer Session. 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.
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: two semesters of college-level Russian, or the equivalent, and the instructor's permission.
Builds upon skills acquired at introductory level. Emphasis on speaking, reading, writing, and grammar review. Taken with RUSS S1202R, 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.
Prerequisites: three terms of college French or three years of secondary school French.
Equivalent to FREN C1202 and F1202. Continues to prepare students for advanced French language and culture with an emphasis on developing highly accurate speaking, reading, and writing skills. Students examine complex topics, using the French language in diverse contexts, and read and actively discuss a wide variety of texts from France and the French speaking world. Daily assignments, quizzes, and screening of video materials.
Prerequisites:
GERM V1201
or
GERM S1201
, or the equivalent.
Equivalent to GERM V1202. Topics cover areas of German literature, history, art, and society. Students also read a German novel or drama. Intermediate-high to advanced-low proficiency (ACTFL scale) in speaking, listening, reading, and writing German is expected upon completion. Prepares student for advanced German, upper-level literature and culture courses and study in Berlin. Students planning to study in Berlin in spring are advised to complete GERM S1202 in the Summer Session. 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.
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: three semesters of college-level Russian, or the equivalent, and the instructor's permission.
Continuation of RUSS S1201H.
Prerequisites:
SPAN S1201
, or the equivalent.
Equivalent to SPAN C1202 or F1202. Readings of contemporary authors, with emphasis on class discussion and composition.
Primarily for graduate students in other departments who have some background in French and who wish to meet the French reading requirement for the Ph.D. degree, or for scholars whose research involves references in the French language. Intensive reading and translation, both prepared and at sight, in works drawn from literature, criticism, philosophy, and history. Brief review of grammar; vocabulary exercises.