Prerequisites: MATH UN1101 or the equivalent Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers 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: some basic background in calculus or be concurrently taking MATH UN1101 Calculus I. The accompanying laboratory is PHYS UN1291-UN1292 The course will use elementary concepts from calculus. The accompanying laboratory is PHYS UN1291 - UN1292. Basic introduction to the study of mechanics, fluids, thermodynamics, electricity, magnetism, optics, special relativity, quantum mechanics, atomic physics, and nuclear physics.
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.
Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, Fourier series. (SC)
Prerequisites: Previous or concurrent enrollment in a course in statistics would make the talks more accessible. Prepared with undergraduates majoring in quantitative disciplines in mind, the presentations in this colloquium focus on the interface between data analysis, computation, and theory in interdisciplinary research. Meetings are open to all undergraduates, whether registered or not. Presenters are drawn from the faculty of department in Arts and Sciences, Engineering, Public Health and Medicine.
Prerequisites: FREN BC1001, BC1002, BC1102, C1101 and C1102, or an appropriate score on the placement test. Further development of oral and written communication skills. Readings in French literature.
This course re-examines central theories and perspectives in the social sciences from the standpoint of digital technologies. Who are we in the digital age? Is the guiding question for the course. We consider the impact of modern technology on society including, forms of interaction and communication, possibilities for problem solving, and re-configurations of social relationships and forms of authority. The course integrates traditional social science readings with contemporary perspectives emerging from scholars who looking at modern social life. The course is an introductory Sociology offering.
Advanced work in language skills. Readings in French literature. Prerequisites: FREN BC1203 or an appropriate score on the placement test.
NOTE: This course
does not
fulfill the Columbia College and GS language requirement.
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 "Guidance for First-Year Students" in the Bulletin). 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.
The purpose of this course is to introduce students to the principles of American politics and governance. Upon completing the class, students should be more informed about the American political process and better able to explain contemporary American political phenomena, as well as being more likely to engage with politics and elections.
BEGINNING IN FALL 2025, BARNARD STUDENTS WISHING TO TAKE INTERNATIONAL POLITICS FOR INTRO CREDIT TOWARD THE MAJOR MUST TAKE POLS-BC1210. If Barnard students enroll in POLS-UN2201, the course will only count toward their major as elective credit.
Columbia College students who take POLS-BC1210 can only apply the course toward their major for elective credit.
Students may not get credit for more than one of the following courses: POLS BC1210, POLS UN1201, or POLS-UN2201.
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.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
Required Discussion Section for Barnard-taught Intro to American Politics (POLS-BC1210).
Students enrolled in POLS-BC1210 must enroll in a section of POLS-BC1212.
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, all students will satisfy a detailed set of rubrics by documenting their learning in reflection 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 calculational 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 science, neuroscience, and physics.
Recitation section for MATH UN1205 - Accelerated Multivariable Calculus.
Students must register for both UN1205 and UN1215.
Recitation section for MATH UN1207 Honors Math A.
Students must register for both UN1207 and UN1217.
Prerequisites: ITAL W1112 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 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 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 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 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 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 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 This course is the laboratory for the corequisite lecture course and can be taken only during the same term as the corresponding lecture.
Autobiographical and biographical graphic narratives are perhaps the best known and most widely read graphic literary texts. Their combination of word and hand-drawn images afford creators a wide variety of formal and stylistic devices for depicting emergent identity, historical experience, trauma, memory and post-memory, among other themes. At the same time, the inherent subjectivity of the hand-drawn images, as well as the limitations of memory and post-memory, raise important questions about the authority and authenticity of these narratives. By closing analyzing some of the most prominent examples of autobiographical and biographical graphic narratives, students in this class will consider how creators have used the medium and the strategies they used to address its limitations when depicting lived, historical experiences. Our discussion of these autobiographical and biographical narratives will be supplemented by readings in the related academic scholarship, as well as by materials that the creators drew upon in the production of their graphic narratives. The reading list of graphic narratives will consist of
Maus, Fun Home
,
March
,
One Hundred Demons
,
The Complete Persepolis
and
Vietnamerica
.
In Elementary Armenian I, 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.
Prerequisites: ITAL W1222 or sufficient fluency to satisfy the instructor. Corequisites: Recommended: ITAL V3335x-V3336y. Conversation courses may not be used to satisfy the language requirement or fulfill major or concentration requirements. Practice in the spoken language through assigned topics on contemporary Italian culture.
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.
This course is designed for movers with little or no experience with dance, or who are unfamiliar with modern dance styles. It is intended to introduce modern dance techniques, terminology, and historical context, as well as improve anatomical and spatial awareness, and foster physical confidence moving to music. Students of this course will also cultivate comfort with watching, interpreting, and discussing modern dance. Love of dance is not a prerequisite, but is definitely a goal.
This course is designed for movers with some experience with dance, or who are unfamiliar with modern dance styles. It is intended to introduce modern dance techniques, terminology, and historical context, as well as improve anatomical and spatial awareness, and foster physical confidence moving to music. Students of this course will also cultivate comfort with watching, interpreting, and discussing modern dance. Love of dance is not a prerequisite, but is definitely a goal.
(Lecture). This course will cover the histories, comedies, tragedies, and poetry of Shakespeare’s early career. We will examine the cultural and historical conditions that informed Shakespeare’s drama and poetry; in the case of drama, we will also consider the formal constraints and opportunities of the early modern English commercial theater. We will attend to Shakespeare’s biography while considering his work in relation to that of his contemporaries. Ultimately, we will aim to situate the production of Shakespeare’s early career within the highly collaborative, competitive, and experimental theatrical and literary cultures of late sixteenth-century England.
This course is designed for students who have little or no experience with playing, performing, reading, studying, composing, or improvising music. Students will be introduced to both skills and concepts that will enable them to participate in music making and deepen their appreciation of all types of music.
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.
Corequisites: ASCE UN1377 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.