Prerequisites: High school algebra or the instructor's permission. Recommended: high school physics and chemistry.
This course is preparation for
CHEM UN1403
General Chemistry I Lecture or the equivalent, as well as for other science courses. It is intended for students who have not attended school for sometime or who do not have a firm grasp of high school chemistry. Topics include inorganic nomenclature, chemical reactions, chemical bonding and its relation to molecular structure, stoichiometry, periodic properties of elements, chemical equilibrium, gas laws, acids and bases, and electrochemistry. Please note that students must attend a recitation section.
Designed for students who have not attended school for some time or who do not have a firm grasp of high school mathematics. Recommended as a prerequisite for
MATH S1003
. Negative numbers, fractions, decimal notation, percentages, powers and roots, scientific notation, introduction to algebra, linear and quadratic equations, Pythagorean theorem, coordinates and graphs.
Prerequisites: high school mathematics, but not calculus.
Basic Physics serves as preparation for
General Physics 1201-1202
and is intended for those students who do not have a solid foundation in high school physics or who have been away from school for several years. The course will provide an introduction to the basic concepts and fundamental laws of physics, focusing on mechanics, together with a review of the mathematical techniques needed for problem-solving.
Prerequisites: Apply directly to the School of the Arts. Access the application here:
http://arts.columbia.edu/course/television-writing-intensive
.,
International students and domestic students seeking credit should register for FILM S3040D.
This is the same course, but it
does not provide academic credit
. The TV Writing Intensive is a six-week, concentrated and encompassing introduction into the field of television writing designed to prepare students to join the professional worlds of half-hour comedies and one-hour dramas across network, cable and digital platforms. In an interconnected program consisting of two intensive writing workshops and a lecture series with guest writers and producers, students gain the knowledge and authority to explore, examine and create the kind of groundbreaking work that is taking over television here and around the world. Participants in The Television Writing Intensive learn about half-hour comedy and one-hour drama by writing and developing spec scripts and original pilots. A spec script is a teleplay for an existing show where the writer brings original stories to existing characters. A pilot is a script written for an original series that the writer creates. This intensive course meets 15 hours per week. On Mondays and Wednesdays students will attend the writing courses outlined above. Thursday evenings students will attend seminars with professors and other industry professionals.
An introduction to the enormous diversity of life on Earth. From bacteria to mammals, this course will survey species diversity, with an emphasis on ecological interactions and conservation. The course will also use basics of genetics and evolutionary biology to explore how diversity is generated and maintained. No previous knowledge of science is assumed. Fulfills a science requirement for most Columbia and GS undergraduates.
The anthropological approach to the study of culture and human society. Using ethnographic case studies, the course explores the universality of cultural categories (social organization, economy, law, belief systems, arts, etc.) and the range of variation among human societies.
Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year. Recommended:
MATH S0065
.
Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.
A general introduction to computer science for science and engineering students interested in majoring in computer science or engineering. Covers fundamental concepts of computer science, algorithmic problem-solving capabilities, and introductory Java programming skills. 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.No previous knowledge of science is assumed. Fulfills a science requirement for most Columbia and GS undergraduates. Field trip: Date TBD. Trip to zoo—during class time; students pay for public transportation , Note: Separate registration is
not
required for discussion section.
Equivalent to
FREN UN
1101
. 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.
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: one term of college French or one year of secondary school French.
$15.00= Language Resource Fee, $15.00 = Materials Fee , Equivalent to
FREN UN1102
. 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.
Equivalent to
ECON UN1105
, 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.
Water covers the majority of the earth’s surface but what of the life in these waters? Rivers, wetlands, lakes, estuaries and oceans provide habitat for an extraordinary diversity of animals. This course explores the amazing array of aquatic animals that occupy both freshwater and marine ecosystems as well as the natural and human activities that impact their survival. No previous knowledge of science is assumed. Fulfills the science requirement for most Columbia and GS undergraduates. Field trip: Date TBD. Students pay for public transportation.
Prerequisites: no previous knowledge of German required, but some background is strongly recommended.
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. In addition to translation, the course focuses on strategies for extracting general and specific information from German texts (skimming and scanning) and judging their relevance for a specific research purpose. Reading texts take students' fields of study into consideration. 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. Students who would like to gain speaking and listening skills are advised to enroll in the Intensive Elementary German I and II, or another appropriate German course. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to
GERM UN1113-UN1114
taught during regular semesters.
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. Assignments and activities are diversified to integrate undergraduate and graduate students’ academic and personal interests. 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. Upon successful completion of the course (with a minimum grade of B), students should achieve novice high to intermediate low proficiency (ACTFL scale). Final grades are based on frequent oral and written tests, writing assignments, a project on German culture in New York, and a final examination. Students are advised that this course constitutes 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. The Department of Germanic Languages will assist in selecting the appropriate course. Equivalent to the combination of
GERM UN1101
and
UN1102
taught during the regular semesters.
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.
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.
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 other's original work.
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:
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 S1500X
(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 S1500X
(see below). This course is equivalent to
CHEM UN1404
General Chemistry II Lecture.
Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry. To be enrolled in
CHEM S1500D
you must also register for
CHEM S1501D
Lab Lecture MW 1:00pm-2:15pm.
Corequisites: CHEM S1500D
Lab lecture for
CHEM S1500D
General Chemistry Laboratory.
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.
This is the required discussion section for
POLS UN1601
.
Prerequisites:
MATH S1201
Calculus III, or the equivalent.
Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.