This course introduces students to the linguistic and grammatical structures of Vietnamese, a major language of Southeast Asia. Language skills include listening, speaking, reading and writing. Students will also be introduced to some aspects of Vietnamese life and culture.
Core requirement for all entering SEAS students. This course is a bridge between the science-oriented, high school way of thinking and the engineering point of view. Fundamental concepts of math and science are reviewed and re-framed in an engineering context, with numerous examples of each concept drawn from all disciplines of engineering represented at Columbia. Non-technical issues of importance in professional engineering practice such as ethics, engineering project management, and societal impact are addressed. Lab fee: $150.
Prerequisites: GERM UN1101 or the equivalent.
Students expand their communication skills to include travel, storytelling, personal well-being, basic economics, and recent historical events. Daily assignments and laboratory work.
Prerequisites: MATH UN1101 or the equivalent.
Methods of integration, applications of the integral, Taylor's theorem, infinite series. (SC)
Corequisites: ECON UN1155
How a market economy determines the relative prices of goods, factors of production, and the allocation of resources and the circumstances under which it does it efficiently. Why such an economy has fluctuations and how they may becontrolled.
Prerequisites: The instructor's permission
This course covers in one semester the material normally presented in Elementary French I and II. This course is especially recommended for students who already know another Romance language.
Prerequisites: BC1001 Introduction of Psychology or permission of the instructor. Enrollment limited to 72 students.
Lecture course covering the basic methods, results, and theory in the study of how experience affects behavior. The roles of early exposure, habitation, sensitization, conditioning, imitation, and memory in the acquisition and performance of behavior are studied.
The course is specially designed for students of Chinese heritage and advanced beginners with good speaking skills. It aims to develop the student's basic skills to read and write modern colloquial Chinese. Pinyin system is introduced; standard Chinese pronunciation, and traditional characters. Classes will be conducted mostly in Chinese.
Open to students with Mandarin speaking ability in Chinese only.
CC GS EN CE
Primarily for graduate students and others who need to acquire a reading knowledge of German. This course does not fulfill any part of the language requirement for the bachelor's degree. A comprehensive introduction to German grammar accompanied by reading of appropriate texts.
Discussion and analysis of the artistic qualities and significance of selected works of painting, sculpture, and architecture from the Parthenon in Athens to works of the 20th century.
Analysis and discussion of representative works from the Middle Ages to the present.
This intensive semester provides all of elementary German enabling students to understand, speak, read, and write in German. Topics range from family and studies to current events. Conducted entirely in German, requirements include oral and written exams, essays, German-culture projects, and a final exam.
Prerequisites: PSYC BC1001
Corequisites: PSYC BC1129
Laboratory course involving experiments related to cognitive, linguistic, perceptual, motor, social, affective, and personality development from infancy to adolescence. The course offers an opportunity for direct observation of children; major areas of research at each level of development are covered.
Prerequisites: (MATH UN1101) MATH V1101.
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 UN1101 or the equivalent
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. (SC)
Prerequisites: one semester of calculus.
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. Serves as the pre-requisite for
ECON W3412
.
(Formerly called "First-Year English: Reinventing Literary History (Workshop).") Close examination of texts and regular writing assignments in composition, designed to help students read critically and write effectively. Sections will focus on Legacy of the Mediterranean or Women and Culture and meet three times a week. For more information on the curriculum, please visit the course website: http://firstyear.barnard.edu/rlh
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.
“Re-vision—the act of looking back, of seeing with fresh eyes, of entering an old text from a new critical direction—is for women more than a chapter in cultural history: it is an act of survival. “ Adrienne Rich, “When We Dead Awaken: Writing as Re-Vision.”
This course offers a revisionist response to the constraints of "the canon," wherein women are often portrayed as peripheral characters, their power confined to the islands of classical witches and the attics of Romantic madwomen. The Women and Culture curriculum challenges traditional dichotomies that cast gender as an essential attribute rather than a cultural construction, and interrogates the categories of both "woman" and "culture" themselves. No two syllabi are exactly the same, but works studied in the fall term readings include
Hymn to Demeter
; Ovid,
Metamorphoses
; Sei Shonagon,
The Pillow Book
; Marie de France,
Lais
;
Kebra Negast
; Shakespeare, sonnets;
Beauty and the Beast
;
West African Bride Myth
; and Sor Juana Inés de la Cruz, selected poetry. Spring term readings include Milton,
Paradise Lost
; Mary Wollstonecraft,
A Vindication of the Rights of Woman
; Luisa Valenzuela, selected stories; Eliza Haywood,
Fantomine
; Lady Hyegyong,
The Memoirs of Lady Hyegyong
; Emily Brontë,
Wuthering Heights
; Emily Dickinson, selected poetry; Virginia Woolf,
Mrs. Dalloway
or
A Room of One's Own
; Alice Walker,
In Search of Our Mother's Gardens
; and Yvette Christiansë,
Castaway.
Critical scholarship sources include Sara Ahmed, Gloria Anzaldua, Judith Butler, Laura Mulvery, and Michel Foucault.
An introduction to the language of classical and modern Arabic literature. No P/D/F or R credit is allowed for this class.
"Custom and authority are no sure evidence of truth." Isaac Watts,
Logic; or, The Right Use of Reason in the Enquiry After Truth
(1802)
Where do our (often unconscious) assumptions about our world and our place in it come from? This course explores key intellectual moments in the literature of the Mediterranean world, whose ideas gave rise to the structures governing much of the Western world today -- structures that sustain and perpetuate ideas about power, authority, gender, and morality that influence our lives in ways both visible and invisible. We read these texts, primarily imaginative literature, to see how they reify, comment upon, resist and/or imagine alternatives to existing social and ideological structures; reading in this way allows us to consciously name and examine how ideology both shifts over time and, in vital ways, remains constant, inviting us to question the myth of progress at the heart of canonicity. No two syllabi are exactly the same, but works studied in the fall term include Homer,
The
Odyssey
;
The Homeric Hymn to Demeter
; Euripides,
The Bacchae
; Virgil,
Aeneid
; Dante,
Inferno
; Chaucer,
The Canterbury Tales
; Margery Kempe,
The Book of Margery Kempe
; and Shakespeare. Works studied in the spring term include Milton,
Paradise Lost
; Voltaire,
Candide
; ; William Wordsworth (selected poetry); Mary Shelley,
Frankenstein
; Darwin, Marx, and Freud (selected essays); Joseph Conrad,
Heart of Darkness
; T. S. Eliot,
The Waste Land
; Virginia Woolf,
To the Lighthouse
; Zora Neale Hurston,
Of Mules and Men
and
Their Eyes Were Watching God
; Toni Morrison,
Beloved
; and Nella Larsen,
Passing.
Critical scholarship from a variety of traditions (feminist, queer, post-colonial) and thinkers (bell hooks, Christine Froula, Edward Said, Karen Horney, Toni Morrison) allows us to interrogate these texts and the traditions they support, complicate, challenge, etc.
This course transcends traditional and arbitrary distinctions separating Caribbean, North, South, and Central American literatures. The Americas emerge not as colonial subjects but as active historical and aesthetic agents. Emanating from what might be called the geographical site of modernity, American literature is characterized by unprecedented diversity and innovation. In addition to classic novels, short stories, and poetry, this multicultural curriculum features works ranging in scope from creation accounts to autobiographies, as well as indigenous genres including captivity and slave narratives that belie New World declarations of independence.
No two syllabi are exactly the same
, but works studied in the fall term include the
Popul Vuh
; William Shakespeare,
The Tempest
; Sor Juana Inés de la Cruz, selected poetry; Phillis Wheatley, selected poetry; William Apess,
A Son of the Forest
; Esteban Echeverria, "El Matadero"; Catharine Maria Sedgwick,
Hope Leslie
; Olaudah Equiano,
The Interesting Narrative of the Life of Olaudah Equiano, or Gustavus Vassa, the African, Written by Himself
; Herman Melville,
Benito Cereno
. Spring term readings include Mark Twain,
Pudd’nhead Wilson
; Frederick Douglass,
Narrative of the Life of Frederick Douglass
; José Marti, Walt Whitman, Emily Dickinson, Langston Hughes, selected poetry; T. S. Eliot,
The Waste Land
; Pablo Neruda,
The Heights of Macchu Picchu
; Machado de Assis,
Dom Casmurro
; William Faulkner, "The Bear"; Gabriel García Márquez,
One Hundred Years of Solitude
.
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.
A student may place into a higher level of this course by passing an examination given on the first day of the class. V1312 is an introduction to basic skills in sight reading. Instruction includes reading rhythms in simple meter, solfege recitation, and sight-singing simple melodies.
Prerequisites: NOTE:Students must register for a discussion section, ASCE V2360
Corequisites: NOTE:Students must register for a discussion section, ASCE V2360
The evolution of Chinese civilization from ancient times to the 20th century, with emphasis on characteristic institutions and traditions.
Prerequisites: NOTE: Students must register for a discussion section ASCE V2371
Corequisites: NOTE: Students must register for a discussion section ASCE V2371
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.
This course seeks to introduce the sweep of Tibetan civilization and its history from its earliest recorded origins to the present. The course examines what civilizational forces shaped Tibet, especially the contributions of Indian Buddhism, sciences and literature, but also Chinese statecraft and sciences. Alongside the chronological history of Tibet, we will explore aspects of social life and culture.
This course provides a survey of Vietnamese civilization from prehistoric origins to the French colonization in the 19th century, with special emphasis on the rise and development of independent kingship over the 2nd millennium CE. We begin by exploring ethnolinguistic diversity of the Red River plain over the first millenium BCE, culminating in the material bronze culture known as the
Dong Son
. We then turn towards the introduction of high sinitic culture, and the region's long membership within successive Chinese empires. We pay special attention to the rise of an independent state out of the crumbling Tang Dynasty, and the specific nation-building effects of war with the Mongols and the Ming Dynasty, in the 14th and 15th centuries respectively. Our class ends with the French colonization of the region, and the dramatic cultural and intellectual transformations that were triggered as a result. Our course will interrogate Vietnamese culture as a protean object, one that is defined and redefined at virtually every level, throughout a history marked by foreign interest, influence, and invasion.
Readings in translation and discussion of texts of Middle Eastern and Indian origin. Readings may include the Qur'an, Islamic philosophy, Sufi poetry, the Upanishads, Buddhist sutras, the Bhagavad Gita, Indian epics and drama, and Gandhi's 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: Recommended preparation: basic high school science and math.
Dinosaurs: a spectacular example of a common, highly successful form of life, dominant for 135 million years. Where did they come from? Why were they so successful? Why did they die out? A basic introduction to the interface between geology and biology.
The major theological and social concerns of 17th-century English colonists; the political and ideological process of defining an American; the social and economic forces that shaped a distinctive national identity; the nature of the regional conflicts that culminated in civil war.
Corequisites: MATH UN1101
Preparation equivalent to one year of high school chemistry is assumed. Students lacking such preparation should plan independent study of chemistry over the summer or take CHEM UN0001 before taking CHEM UN1403. 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 and biological chemistry, solid state and materials science, polymer science and macromolecular structures and coordination chemistry. Although CHEM UN1403 and CHEM UN1404 are separate courses, students are expected to take both terms sequentially. The order of presentation of topics may differ from the order presented here, and from year to year. Students must ensure they register for the recitation that corresponds to the lecture section. Please check the Directory of Classes for details.
Corequisites: CHEM UN1403
Recitation section for Chemistry UN1403
GENERAL CHEMISTRY I-LECTURES
TO BE ENROLLED IN 1403, YOU MUST REGISTER. FOR 1405
First year Classical Tibetan
Prerequisites: Auditions are required. Sign up for an audition on MPP website: www.mpp.music.columbia.edu
Prerequisites: Audition Required: Sign up for an audition time on MPP website:
www.mpp.music.columbia.edu
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
Prerequisites: BC1137, BC1138, BC1332, or BC1333, or permission of the Dance Department. Intermediate level in modern or ballet technique is required.
Prerequisites: BIOL BC1001 or equivalent preparation. Course suitable for fulfillment of premedical requirements.
Detailed introduction to biological phenomena above the cellular level; development, anatomy, and physiology of plants and animals; physiological, population, behavioral, and community ecology; evolutionary theory; analysis of micro-evolutionary events; systematics.
Prerequisites: BIOL BC1001 or equivalent preparation. Enrollment limited to 16 students per section. Course suitable for fulfillment of premedical requirements. BIOL BC1500 as prerequisite or corequisite.
A laboratory-based introduction to the major groups of living organisms; anatomy, physiology, evolution, and systematics; laboratory techniques for studying and comparing functional adaptations.
Prerequisites: BIOL BC1001 or equivalent preparation. Enrollment limited to 16 students per section. Course suitable for fulfillment of premedical requirements. BIOL BC1500 as prerequisite or corequisite.
A laboratory-based introduction to the major groups of living organisms; anatomy, physiology, evolution, and systematics; laboratory techniques for studying and comparing functional adaptations.
Prerequisites: BIOL BC1001 or equivalent preparation. Enrollment limited to 16 students per section. Course suitable for fulfillment of premedical requirements. BIOL BC1500 as prerequisite or corequisite.
A laboratory-based introduction to the major groups of living organisms; anatomy, physiology, evolution, and systematics; laboratory techniques for studying and comparing functional adaptations.
Prerequisites: BIOL BC1001 or equivalent preparation. Enrollment limited to 16 students per section. Course suitable for fulfillment of premedical requirements. BIOL BC1500 as prerequisite or corequisite.
A laboratory-based introduction to the major groups of living organisms; anatomy, physiology, evolution, and systematics; laboratory techniques for studying and comparing functional adaptations.
Prerequisites: BIOL BC1001 or equivalent preparation. Enrollment limited to 16 students per section. Course suitable for fulfillment of premedical requirements. BIOL BC1500 as prerequisite or corequisite.
A laboratory-based introduction to the major groups of living organisms; anatomy, physiology, evolution, and systematics; laboratory techniques for studying and comparing functional adaptations.
Entrance by audition only. Call Barnard College, Department of Music during registration for time and place of audition (854-5096).
This course provides a broad overview of the comparative politics subfield by focusing on important substantive questions about the world today. The course is organized around four questions. First, why can only some people depend upon the state to enforce order? Second, how can we account for the differences between autocracies and democracies? Third, what different institutional forms does democratic government take? Finally, are some institutions more likely than others to produce desirable social outcomes such as accountability, redistribution, and political stability?
Prerequisites: BIOL BC1001 or equivalent preparation. Enrollment limited to 16 students per section. Course suitable for fulfillment of premedical requirements. BIOL BC1500 as prerequisite or corequisite.
A laboratory-based introduction to the major groups of living organisms; anatomy, physiology, evolution, and systematics; laboratory techniques for studying and comparing functional adaptations.
Prerequisites: Auditions are required. Sign up for an audition on MPP website: www.mpp.music.columbia.edu
Prerequisites: Audition Required: Sign up for an audition time on MPP website:
www.mpp.music.columbia.edu
Accepting NEW STUDENTS in FALL semester ONLY. $250 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
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.