Prerequisites: (MATH UN1101 and MATH UN1102) Vectors in dimensions 2 and 3, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, optimization, Lagrange multipliers, double and triple integrals, line and surface integrals, vector calculus. This course is an accelerated version of MATH UN1201 - MATH UN1202. Students taking this course may not receive credit for MATH UN1201 and MATH UN1202.
Prerequisites: (see Courses for First-Year Students). The second term of this course may not be taken without the first. Multivariable calculus and linear algebra from a rigorous point of view. Recommended for mathematics majors. Fulfills the linear algebra requirement for the major. (SC)
An introduction to the language of classical and modern Arabic literature. No P/D/F or R credit is allowed for this class.
Prerequisites: First Year Arabic I or instructor permission. An introduction to the language of classical and modern Arabic literature. No P/D/F or R credit is allowed for this class.
Prerequisites: ITAL W1221 or sufficient fluency to satisfy the instructor. Corequisites: Recommended: ITAL V1201-V/W1202 or ITAL W1201-W1202. Conversation courses may not be used to satisfy the language requirement or fulfill major or concentration requirements. Intensive practice in the spoken language, assigned topics for class discussions, and oral reports.
This course introduces students to urban dance styles, focusing on the foundations and origins of hip-hop dance, street dance culture, and the physical vocabularies of hip-hop and freestyle dance. Classes are geared to condition the body for the rigors of hip-hop technique by developing strength, coordination, flexibility, stamina, and rhythmic awareness while developing an appreciation of choreographic movement and structures. Compositional elements of hip-hop will be introduced and students may compose brief movement sequences.
Corequisites: PHYS UN1201 This course is the laboratory for the corequisite lecture course and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Corequisites: PHYS UN1201,PHYS UN1202 This course is the laboratory for the corequisite lecture course (PHYS UN1201 - PHYS UN1202) and can be taken only during the same term as the corresponding lecture.
Prerequisites: No prerequisites. Department approval NOT required. The beginning poetry workshop is designed for students who have a serious interest in poetry writing but who lack a significant background in the rudiments of the craft and/or have had little or no previous poetry workshop experience. Students will be assigned weekly writing exercises emphasizing such aspects of verse composition as the poetic line, the image, rhyme and other sound devices, verse forms, repetition, tone, irony, and others. Students will also read an extensive variety of exemplary work in verse, submit brief critical analyses of poems, and critique each others original work.
Emergence of revolutionary and counter-revolutionary mass political movements; European industrialization, nationalism, and imperialism; 20th-century world wars, the Great Depression, and Fascism.
In Elementary Armenian II, students learn the Armenian script and the basic grammar that will enable them to communicate about topics relating to themselves and their immediate surroundings: family, school, daily occupations, describing people, expressing likes and dislikes, requesting and giving information about themselves and others, proper forms of greetings, etc. They also begin to read signs, advertisements, and develop the skills to read texts like short stories and Armenian fables. No P/D/F or R credit is allowed for this class.
Students are strongly advised to consult with the ME Department prior to registering for this course. A study of ship characteristics and types including ship design, hydrodynamic forces, stability, compartmentation, propulsion, electrical and auxiliary systems, interior communications, ship control, and damage control; theory and design of steam, gas turbine, and nuclear propulsion; shipboard safety and firefighting. This course is part of the Naval ROTC program at Columbia but will be taught at SUNY Maritime. Enrollment may be limited; priority is given to students participating in Naval ROTC. Will not count as a technical elective. Students should see a faculty adviser as well as Columbia NROTC staff (nrotc@columbia.edu) for more information.
Intensive Armenian for Heritage Speakers is an accelerated course for students of Armenian origin who already have basic knowledge of the spoken language and are able to converse on familiar topics relating to themselves and their immediate surroundings. The course will focus on developing their skills in reading, writing, and speaking and Armenian grammar and vocabulary. By the end of the course, students will be able to read, write and discuss simple texts. Placement will be based on an interview and questionnaire about their background. No P/D/F or R credit is allowed for this class. No P/D/F or R credit is allowed for this class.
Prerequisites: ITAL UN2102 or sufficient fluency to satisfy the instructor. Conversation courses may not be used to satisfy the language requirement or fulfill major or concentration requirements. This course is designed for students who have attended four semesters of Italian language, mastered the grammatical structure of the language and are ready to expand and enlarge their language skills. A particular emphasis will be put on oral production, on listening and on reading: in class and at home the students will analyze various kinds of text and genres. In-class time is dedicated to speaking and practicing Italian through a combination of group-based and individual activities, focusing on a wide range of contemporary cultural themes through the use of varied materials such as newspaper articles, advertising material and short film clips. We will focus also on grammatical structures, language functions and activities to expand the vocabulary.
This course is an introduction to basic skills in sight reading. Instruction includes reading rhythms in simple meter, solfege recitation, and sight-singing simple melodies.
Prerequisites: knowledge of Spanish or another Romance language. An intensive beginning language course in Brazilian Portuguese with emphasis on Brazilian culture through multimedia materials related to culture and society in contemporary Brazil. Recommended for students who have studied Spanish or another Romance language. The course is the equivalent of two full semesters of elementary Portuguese with stress on reading and conversing, and may be taken in place of PORT W1101-W1102. For students unable to dedicate the time needed cover two semesters in one, the regularly paced sequence PORT W1101-W1102 is preferable.
Open to all beginning dancers.
From ancient Greece to Wicked, the figure of the witch has fascinated and frightened, compelled and repulsed. In this seminar, well analyze written and visual texts from Homer to The Brothers Grimm and beyond to develop a deeper understanding of the witch and the anxieties about gender and power that she represents.
Prerequisites: NOTE: Students must register for a discussion section ASCE UN1371 A survey of important events and individuals, prominent literary and artistic works, and recurring themes in the history of Japan, from prehistory to the 20th century.
Prerequisites: NOTE:Students must register for a discussion section, ASCE UN1366 The evolution of Korean society and culture, with special attention to Korean values as reflected in thought, literature, and the arts.
Readings in translation and discussion of texts of Middle Eastern and Indian origin. Readings may include the Quran, Islamic philosophy, Sufi poetry, the Upanishads, Buddhist sutras, the Bhagavad Gita, Indian epics and drama, and Gandhis Autobiography.
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.
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.
Prerequisites: Audition Required: Sign up for an audition time on MPP website: mpp.music.columbia.edu Prerequisites: Accepting NEW STUDENTS in FALL semester ONLY. $300 MUSIC LESSON FEE FOR ALL STUDENTS. All accepted MPP students must register for lessons and ensembles by the change-of-program deadline in order to be allowed to attend lessons that semester. Petitioning students must notify MPP staff prior to this deadline. Contact Music Performance Program at mpp@columbia.edu Please sign up for an audition time on MPP website in August: mpp.music.columbia.edu
Explicit criteria for recognizing valid and fallacious arguments, together with various methods for schematizing discourse for the purpose of logical analysis. Illustrative material taken from science and everyday life.