This course builds on fundamentals of psychological and behavioral science by exploring reproducibility and replication on a global level. Students will learn from a wide range of studies and their real-world implications.
Differential and integral calculus of multiple variables. Topics include partial differentiation; optimization of functions of several variables; line, area, volume, and surface integrals; vector functions and vector calculus; theorems of Green, Gauss, and Stokes; applications to selected problems in engineering and applied science.
“The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester. Therefore, (1) students must be engaged during the semester in an internship or other experiential learning opportunity, and (2) students must fill out a an application (which is provided upon registering for the waitlist of their section) prior to registration indicating which Core text they would like to study in conjunction with their internship or experiential learning opportunity, and how it relates to their major/concentration and internship or experiential learning.
Students are eligible to enroll in HUMA UN2000 only after they have (1) completed the sophomore year and (2) declared their major (or concentration).
HUMA UN2000 may not be taken with the pass/d/fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice. NOTE: In order to be enrolled for your section, you must complete the application form (found in the Notes section below). Once we receive your application, you will then be manually registered for the course by the Core office.
“The Core as Praxis/Fieldwork” provides students with the opportunity to explore the connections among texts from the Core Curriculum, their work in their major field of study, and their work in a professional environment outside of Columbia’s campus. Students will be guided through a process of reflection on the ideas and approaches that they develop in Core classes and in the courses in their major, to think about how they can apply theory to practice in the context of an internship or other experiential learning environment. Students will reread and revisit a text that they have studied previously in Literature Humanities or in Contemporary Civilization as the basis for their reading and writing assignments over the semester. Therefore, (1) students must be engaged during the semester in an internship or other experiential learning opportunity, and (2) students must fill out a an application (which is provided upon registering for the waitlist of their section) prior to registration indicating which Core text they would like to study in conjunction with their internship or experiential learning opportunity, and how it relates to their major/concentration and internship or experiential learning.
Students are eligible to enroll in HUMA UN2000 only after they have (1) completed the sophomore year and (2) declared their major (or concentration).
HUMA UN2000 may not be taken with the pass/d/fail option. All students will receive a letter grade for the course. Students can take HUMAUN2000 twice. NOTE: In order to be enrolled for your section, you must complete the application form (found in the Notes section below). Once we receive your application, you will then be manually registered for the course by the Core office.
Introduction to understanding and writing mathematical proofs. Emphasis on precise thinking and the presentation of mathematical results, both in oral and in written form. Intended for students who are considering majoring in mathematics but wish additional training. CC/GS: Partial Fulfillment of Science Requirement. BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).
This seminar investigates the concepts of ethnicity, race, and identity, in both theory and practice,
through a comparative survey of several case studies from the Pre-Modern history of the Middle East.
The course focuses on symbols of identity and difference, interpreting them through a variety of
analytical tools, and evaluating the utility of each as part of an ongoing exploration of the subject. The
survey considers theories of ethnicity and race, as well as their critics, and includes cases from the
Ancient World (c. 1000 BCE) through the Old Regime (c. 1800 CE).
Students in this course will gain a familiarity with major theories of social difference and alterity, and
utilize them to interpret and analyze controversial debates about social politics and identity from the
history of the Middle East, including ancient ethnicity, historical racism, Arab identity, pluralism in the
Islamic Empire, and slavery, among others. In addition, students will spend much of the semester
developing a specialized case study of their own on a historical community of interest. All of the case
studies will be presented in a showcase at the end of the semester.
All assigned readings for the course will be in English. Primary sources will be provided in translation.
The course meets once a week and sessions are two hours long.
The course provides an overview of environmental law for students without a legal background. It examines U.S. statutes and regulations regarding air, water, hazardous and toxic materials, land use, climate change, endangered species, and the like, as well as international environmental issues. After completing the course students should be equipped to understand how the environmental laws operate, the role of the courts, international treaties and government agencies in implementing environmental protection, and techniques used in addressing these issues.
Required recitation session for students enrolled in APMA E2000.
This course provides a hands-on introduction to techniques commonly used in current neurobiological research. Topics covered will include neuroanatomy, neurophysiology, and invertebrate animal behavioral genetics. Participation in this course involves dissection of sheep brains and experimentation with invertebrate animals.
Prerequisites: (VIAR UN1000) Examines the potential of drawing as an expressive tool elaborating on the concepts and techniques presented in VIAR UN1001. Studio practice emphasizes individual attitudes toward drawing while acquiring knowledge and skills from historical and cultural precedents. Portfolio required at the end.
Prerequisites: a working knowledge of calculus. Corequisites: the second term of a course in calculus-based general physics. Continuation of ASTR UN2001; these two courses constitute a full year of calculus-based introduction to astrophysics. Topics include the structure of our galaxy, the interstellar medium, star clusters, properties of external galaxies, clusters of galaxies, active galactic nuclei, and cosmology.
An engineering and economic analysis of past, present and future energy resources. Technological options and their role in the world energy markets. Understanding limits of energy and power density and its impact of resource adoption and feasibility. Comparison of renewable and non-renewable energy resources and analysis of the consequences of various technological choices and constraints. Economic considerations, energy availability, and the environmental consequences of large-scale, widespread use of each particular technology. Critical analysis of carbon dioxide capture and carbon dioxide disposal as a means of sustaining the fossil fuel options in comparison to dramatic increase of electrified resources.
Prerequisites: EEEB UN2001 Second semester of introductory biology sequence for majors in enviromnental biology and environmental science, emphasizing the ecological and evolutionary aspects of biology. Also intended for those interested in an introduction to the principles of ecology and evolutionary biology.
Corequisites: Calculus II. Charge, electric field, and potential. Gausss law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwells equations.
Prior to “conflict resolution,” there is conflict. But what is conflict and how do we understand it? This introductory lecture course proposes to explore established objects in their presumed ties to the fact and concept of “conflict.” We will inquire into the nature of conflict as well as into the kinds of conflicts that operate, or seem to operate, perhaps even to structure, the understanding of race, of region, and of religion. We will attend to the solidity and fragility of geographic divisions (regional and trans regional conflicts), their history (modern / premodern, colonial / pre- and post-colonial), the emergence of race (racial and ethnic conflicts), the pertinence of religions (religious strife and violence), their relation to political associations (religion and politics, religion and nationalism) and to other social and/or economic divisions (class, gender). We will interrogate the analytic and descriptive value of keywords like war, enmity, dispute, division, partition. We will also reflect on disciplinary tensions and divisions toward an understanding and perpetuation of conflict. Finally, we will think about the possibility and impossibility of “speaking with the enemy.”
Introduction to the theory and practice of “ethnography”—the intensive study of peoples’ lives as shaped by social relations, cultural images, and historical forces. Considers through critical reading of various kinds of texts (classic ethnographies, histories, journalism, novels, films) the ways in which understanding, interpreting, and representing the lived words of people—at home or abroad, in one place or transnationally, in the past or the present—can be accomplished. Discussion section required.
Interdisciplinary and thematic approach to the African diaspora in the Americas: its motivations, dimensions, consequences, and the importance and stakes of its study. Beginning with the contacts between Africans and the Portuguese in the 15th century, this class will open up diverse paths of inquiry as students attempt to answer questions, clear up misconceptions, and challenge assumptions about the presence of Africans in the New World.
Prerequisites: EEEB UN2001 or BIOL UN2005, or the instructors permission. Lecture and recitation. Recommended second term of biology for majors in biology and related majors, and for premedical students. Cellular biology and development; physiology of cells and organisms. Website: http://www.columbia.edu/cu/biology/courses/c2006/ SPS, Barnard, and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar. http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf Students must register for a recitation section BIOL UN2016.
Lecture and recitation. No previous study of Islam is required. The early modern, colonial, and post-colonial Islamic world studied through historical case studies, translated texts, and recent anthropological research. Topics include Sufism and society, political ideologies, colonialism, religious transformations, poetry, literature, gender, and sexuality.
Examination of gender differences in the U.S. and other advanced industrial economies. Topics include the division of labor between home and market, the relationship between labor force participation and family structure, the gender earnings gap, occupational segregation, discrimination, and historical, racial, and ethnic group comparisons.
This course rethinks the ;birth of cinema; from the vantage of ;when old media was new.; Following standard approaches, it moves from actualities to fiction, from the ;cinema of attractions; to narrative, from the cinematographe to cinema, from cottage industry to studio system. Units in silent film music, early genres, film piracy and copyright, word and moving image, and restoration--the film archivists dilemma in the digital era. FILM W2011
Prerequisites: MATH UN1201 or the equivalent. Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Corequisites: BIOL UN2006 Prerequisites: Course does not fulfill Biology major requirements or premedical requirements. Enrollment in laboratory limited to 16 students per section. Exploration of the major discoveries and ideas that have revolutionized the way we view organisms and understand life. The basic concepts of cell biology, anatomy and physiology, genetics, evolution, and ecology will be traced from seminal discoveries to the modern era. The laboratory will develop these concepts and analyze biological diversity through a combined experimental and observational approach.
Prerequisites: (ECON BC1003 or ECON UN1105) This course covers the core microeconomic theories and concepts needed to understand health and health care issues in the United States. It describes how the markets for health and health services are different from those for other goods, with an emphasis on providing the tools and skills for understanding health policy and regulations. In addition, it discusses theoretical and empirical aspects of key health economics issues, with a primary focus on applying the tools of economic analysis to understand the basic forces—supply and demand, asymmetric information, incentives, and externalities, for example—that influence health policies.
Lab to accompany PHYS BC2002.
Prerequisites: Physics BC2001 or the equivalent.
Corequisites: Calculus II. Charge, electric field, and potential. Gauss's law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwell's equations.
Course may be taken for 1-3 points. May be retaken for full credit. Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a departmental stage production register for this course; course emphasizes the collaborative nature of production, and appropriate research and reading required in addition to artistic assignments. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
.
Course may be taken for 1-3 points. May be retaken for full credit. Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a Senior Thesis in Directing register for this course. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
Course may be taken for 1-3 points. May be retaken for full credit. Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a Senior Thesis in Directing register for this course. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
Course may be taken for 1-3 points. May be retaken for full credit. Prerequisites: Open to all Barnard and Columbia undergraduates. Permission of Department through audition required. Students cast as actors in a Senior Thesis in Directing register for this course. Auditions for each semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. For required details, consult "Auditions" on the Barnard Theatre Department website in advance:
theatre.barnard.edu/auditions
This course provides a comprehensive introduction to methods and theory in archaeology – by exploring how archaeologists work to create narratives about the past (and the present) on the basis on the material remains of the past. The course begins with a consideration of how archaeologists deal with the remains of the past in the present: What are archaeological sites and how do we ‘discover’ them? How do archaeologists ‘read’ or analyze sites and artifacts? From there, we will turn to the question of how archaeologists interpret these materials traces, in order to create narratives about life in the past. After a review of the historical development of theoretical approaches in archaeological interpretation, the course will consider contemporary approaches to interpreting the past.
Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent. Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.
This course brings our survey of the development of the art, technology, and industry of motion images up to the present. During this era, most people no longer watched movies (perhaps the most neutral term) in theaters, and digital technology came to dominate every aspect of production, distribution, and exhibition. Highlighted filmmakers include Michael Haneke, Lars von Trier, Wong Kar-wei, and Steve McQueen. Topics range from contemporary horror to animation. Requirements: short (2-3 pages) papers on each film shown for the class and a final, take-home exam. FILM W2041
Prerequisites: A grade of 5 on the Chemistry Advanced Placement exam and an acceptable grade on the Department placement exam. Corequisites: CHEM UN1507 Premedical students may take CHEM UN2045, CHEM UN2046, CHEM UN1507 and CHEM UN2545 to meet the minimum requirements for admission to medical school. This course covers the same material as CHEM UN2443-CHEM UN2444, but is intended for students who have learned the principles of general chemistry in high school OR have completed CHEM UN1604 in their first year at Columbia. First year students enrolled in CHEM UN2045-CHEM UN2046 are expected to enroll concurrently in CHEM UN1507. Although CHEM UN2045 and CHEM UN2046 are separate courses, students are expected to take both terms sequentially. A recitation section is required. Please check the Directory of Classes for details and also speak with the TA for the course.
Mendelian and molecular genetics of both eukaryotes and prokaryotes, with an emphasis on human genetics. Topics include segregation, recombination and linkage maps, cytogenetics, gene structure and function, mutation, molecular aspects of gene expression and regulation, genetic components of cancer, and genome studies.
Prerequisites: high school algebra. Recommended preparation: high school chemistry and physics; and one semester of college science. Origin and development of the atmosphere and oceans, formation of winds, storms and ocean currents, reasons for changes through geologic time. Recent influence of human activity: the ozone hole, global warming, water pollution. Laboratory exploration of topics through demonstrations, experimentation, computer data analysis, and modeling. Students majoring in Earth and Environmental Sciences should plan to take EESC W2100 before their senior year to avoid conflicts with Senior Seminar.
Prerequisites: (VIAR UN1000) (Formerly R3201) Introduction of the fundamental skills and concepts involved in painting. Problems are structured to provide students with a knowledge of visual language along with a development of expressive content. Individual and group critiques. Portfolio required at end. If the class is full, please visit http://arts.columbia.edu/undergraduate-visual-arts-program.
Prerequisites: The departments permission required through writing sample. Please go to 609 Kent for submission schedule and registration guidelines or see http://www.arts.columbia.edu/writing/undergraduate. Intermediate workshops are for students with some experience with creative writing, and whose prior work merits admission to the class (as judged by the professor). Intermediate workshops present a higher creative standard than beginning workshops, and increased expectations to produce finished work. By the end of the semester, each student will have produced at least seventy pages of original fiction. Students are additionally expected to write extensive critiques of the work of their peers.
A unified, single-semester introduction to differential equations and linear algebra with emphases on (1) elementary analytical and numerical technique and (2) discovering the analogs on the continuous and discrete sides of the mathematics of linear operators: superposition, diagonalization, fundamental solutions. Concepts are illustrated with applications using the language of engineering, the natural sciences, and the social sciences. Students execute scripts in Mathematica and MATLAB (or the like) to illustrate and visualize course concepts (programming not required).
This architectural design studio explores material assemblies, techniques of fabrication, and systems of organization. These explorations will be understood as catalysts for architectural analysis and design experimentation. Both designed objects and the very act of making are always embedded within a culture, as they reflect changing material preferences, diverse approaches to durability and obsolescence, varied understandings of comfort, different concerns with economy and ecology. They depend on multiple resources and mobilize varied technological innovations. Consequently, we will consider that making always involves making a society, for it constitutes a response to its values and a position regarding its technical and material resources. Within this understanding, this studio will consider different cultures of making through a number of exercises rehearse design operations at different scales—from objects to infrastructures.
Prerequisites: CATL W1120. The first part of Columbia University´s comprehensive intermediate Catalan sequence. The main objectives of this course are to continue developing communicative competence - reading, writing, speaking and listening comprehension - and to further acquaint students with Catalan cultures.
This course will further your awareness and understanding of the French language, culture and literature, provide a comprehensive review of fundamental grammar points while introducing more advanced ones, as well as improve your mastery of oral, reading, and writing skills. By the end of the course, you will be able to read short to medium-length literary and non-literary texts, and analyze and comment on varied documents and topics, both orally and in writing.
Prerequisites: GERM UN1102 or the equivalent. Complete grammar review through regular exercises. Wide range of texts are used for close and rapid reading and writing exercises. Practice in conversation aims at enlarging the vocabulary necessary for daily communication.
Prerequisites: ITAL V1102 or W1102, or the equivalent. If you did not take Elementary Italian at Columbia in the semester preceding the current one, you must take the placement test, offered by the Italian Department at the beginning of each semester. A review of grammar, intensive reading, composition, and practice in conversation. Exploration of literary and cultural material. Lab: hours to be arranged.
Prerequisites: LATN UN1101-UN1102, or LATN UN1121, or the equivalent. Selections from Catullus and from Cicero or Caesar.
Prerequisites: PORT W1120 or the equivalent. General review of grammar, with emphasis on self-expression through oral and written composition, reading, conversation, and discussion.
Prerequisites: SPAN UN1102 or SPAN UN1120 or or a score of 380-449 in the departments Placement Examination. An intensive course in Spanish language communicative competence, with stress on oral interaction, reading, writing, and culture as a continuation of SPAN UN1102 or SPAN UN1120. All Columbia students must take Spanish language courses (UN 1101-3300) for a letter grade.