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.
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:
None
Eligibility:
This course is open to undergraduates, graduate students, and visiting students Introduces basic sentence structures and vocabulary in colloquial Chinese and focuses on developing basic skills in listening, speaking, reading, and writing. The Pinyin system and traditional characters are used. To enroll in this course, you must apply to the
Virtual Columbia Summer: Chinese Language Program
through the Center for Undergraduate Global Engagement (UGE).
Tuition charges apply; scholarships available.
Please note the program dates are different from the Summer Term A & B dates.
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.
Prerequisites: RUSS UN1101 or placement test $15.00= Language Resource Fee, $15.00 = Materials Fee , 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 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.
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 (such as: family activities, studies, work and home life, as well as travel, economics, and current events) and helps them develop an understanding of German speaking cultures. Classes are conducted 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 (written and oral). 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. If prior knowledge of German, a placement exam is required. Students should contact Jutta Schmiers-Heller (js2331) to schedule a test or if they have other questions about the course.
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.
HUMA1121OC. Masterpieces of Western Art. 3 points
Art Humanities teaches students how to look at, think about, and engage in critical discussion of the visual arts. The course focuses on the formal structure of works of architecture, painting, and other media, as well as the historical context in which these works were made and understood. In addition to discussion-based classes like those held in New York, Art Humanities in Paris and in Berlin will make extensive use of the city through field trips to museums, buildings, and monuments. To enroll in this course in Paris, you must apply to the
Columbia Summer Core In Paris: Art Humanities and Music Humanities
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Term A & B dates.
HUMA1121OC. Masterpieces of Western Art. 3 points
Art Humanities teaches students how to look at, think about, and engage in critical discussion of the visual arts. The course focuses on the formal structure of works of architecture, painting, and other media, as well as the historical context in which these works were made and understood. In addition to discussion-based classes like those held in New York, Art Humanities in Paris and in Berlin will make extensive use of the city through field trips to museums, buildings, and monuments. To enroll in this course in Paris, you must apply to the
Columbia Summer Core In Paris: Art Humanities and Music Humanities
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Term A & B dates.
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.
Italian In Venice, ITAL1121. Intensive Elementary Italian. 6 points
Instructor: TBD
Syllabus - Intensive Elementary
The equivalent of Italian 1101/1102 at Columbia. This intensive first year course, open to students with no previous training in Italian, prepares students to move into intermediate Italian. The course provides students with a foundation in the four language skills of listening, speaking, reading and writing. Students are encouraged to participate actively in class discussions and activities and to interact with teacher and classmates. We will learn Italian not only thanks to exercises and conversation, but also through songs, clips, pictures, food, and games. Upon successful completion of the course, students should be able to:
provide basic information in Italian about themselves, their interests, their daily activities;
participate in a conversation on everyday topics using the major time frames of present and past;
read short edited texts, understand the main ideas, and pick out important information from authentic texts (e.g. menus, signs, train schedules, etc.)
write short compositions on familiar topics;
identify basic cultural rituals and practices in the context of their occurrence.
To enroll in this course, you must apply to the
Columbia in Venice
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Term A & B dates.
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.
HUMA1123OC. Masterpieces of Western Music. 3 points
The focus of Music Humanities is the masterpieces of Western art music in their historical and cultural contexts. The specific goals of the course are to awaken and encourage an appreciation of Western music, to help the student learn to respond intelligently to a variety of musical idioms, and to engage the student in the issues of various debates about the character and purposes of music that have occupied composers and musical thinkers since ancient times. Students become actively involved in the process of critical listening both in the classroom and in the live performances that are as central to the course in Berlin and in Paris as in New York. Using a “great works” approach, the course will look at the changing genres and styles of music, examining composers’ choices and assumptions, as well as those of their patrons and audiences, as it moves chronologically from the Middle Ages to the present. To enroll in this course in Paris, you must apply to the
Columbia Summer Core In Paris: Art Humanities and Music Humanities
through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Term A & B dates.
HUMA1123OC. Masterpieces of Western Music. 3 points
The focus of Music Humanities is the masterpieces of Western art music in their historical and cultural contexts. The specific goals of the course are to awaken and encourage an appreciation of Western music, to help the student learn to respond intelligently to a variety of musical idioms, and to engage the student in the issues of various debates about the character and purposes of music that have occupied composers and musical thinkers since ancient times. Students become actively involved in the process of critical listening both in the classroom and in the live performances that are as central to the course in Berlin and in Paris as in New York. Using a “great works” approach, the course will look at the changing genres and styles of music, examining composers’ choices and assumptions, as well as those of their patrons and audiences, as it moves chronologically from the Middle Ages to the present. To enroll in this course in Paris, you must apply to the
Columbia Summer Core In Paris: Art Humanities and Music Humanities
through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Term A & B dates.
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.
Required Discussion section for ECON UN1105 Principles of Economics
Basic concepts of electrical engineering. Exploration of selected topics and their application. Electrical variables, circuit laws, nonlinear and linear elements, ideal and real sources, transducers, operational amplifiers in simple circuits, external behavior of diodes and transistors, first order RC and RL circuits. Digital representation of a signal, digital logic gates, flipflops. A lab is an integral part of the course. Required of electrical engineering and computer engineering majors.
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: 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.
Italian in Venice ITAL1203OC. Intensive Intermediate Italian. 6 points
Prerequisites: One year of college-level Italian or the equivalent. Instructor: TBD
Syllabus - Intensive Intermediate
The equivalent of Italian 1201/1202. This intensive second year course allows students to develop listening, speaking, reading, and writing skills in Italian and a better understanding of Italian culture. Students are involved in activities outside the classroom, where they gather information on Italian cultural topics through interviews and surveys that allow them to engage directly with the local community. Upon successful completion of this course, students should be able to:
use a sufficient range of language to be able to give clear description;
express viewpoints on most general topics;
show a relatively high degree of grammatical control;
use cohesive devices to link their utterances into clear and coherent discourse;
give detailed descriptions and presentations on a wide range of subjects related to their fields of interest, expanding and supporting their ideas;
write clear and detailed text on a variety of subjects related to their field of interest, synthesizing and evaluating information and arguments;
understand straightforward factual information about common everyday life;
interact with a degree of fluency and spontaneity that makes for regular interaction;
express news and views effectively in writing, and relate to those of others;
express themselves appropriately in different cultural and communicative situations;
and be aware of the most significant differences between the customs, usages, attitudes, values, and beliefs prevalent in the Italian culture and those of their own.
To enroll in this course, you must apply to the
Columbia in Venice
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Vergil
Advanced work in language skills. Readings in French literature.
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.
Using modern, student-centered, active and collaborative learning techniques, students will engage — through field observations, in-class experiments, computer simulations, and selected readings — with a range of ideas and techniques designed to integrate and anchor scientific habits of mind. Throughout the term, each student will satisfy a detailed set of rubrics by documenting their learning in reflective e-portfolio postings designed to serve as a future reference for how they, individually, went from not understanding an idea to understanding it. Topics covered will include statistics, basic probability, a variety of calculations skills, graph reading and estimation, all aimed at elucidating such concepts as energy, matter, cells, and genes in the context of astronomy, biology, chemistry, earth sciences, neuroscience, and physics.
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.
This course explores the core classical literature in Chinese, Japanese and Korean Humanities. The main objective of the course is to discover the meanings that these literature offer, not just for the original audience or for the respective cultures, but for us. As such, it is not a survey or a lecture-based course. Rather than being taught what meanings are to be derived from the texts, we explore meanings together, informed by in-depth reading and thorough ongoing discussion.