Laboratory for ASTR W1403. Projects include observations with the department's telescopes, computer simulation, laboratory experiments in spectroscopy, and the analysis of astronomical data. Lab 1 ASTR W1903 - goes with ASTR BC1753, ASTR W1403 or ASTR W1453.
Laboratory for ASTR W1404. Projects include use of telescopes, laboratory experiments in the nature of light, spectroscopy, and the analysis of astronomical data. Lab 2 ASTR W1904 - goes with ASTR BC1754 or ASTR W1404 (or ASTR W1836 or ASTR W1420).
An introduction to the written and spoken language of Turkey. No P/D/F or R credit is allowed for this class.
A continuation of the study of the written and spoken language of Turkey, with readings of literary, historical, and other texts. No P/D/F or R credit is allowed for this class.
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).
Drawing is a foundation for all other forms of visual art. This studio course is primarily a workshop augmented by home assignments, visiting artist lectures and museum/gallery visits. This class is open to all students from introductory to more advanced levels. The semester is divided into two sections: (1) Perspective and (2) The Body. Starting with perspective, the goal is to explore the history and contemporary importance of this form; then shift to the body, where the goal is to build a visual language that records the human form in space and in time. This course uses the practice of drawings as a tool to interrogate the meaning of observation in the practice of art.
Prerequisites: a working knowledge of calculus.
Corequisites: a course in calculus-based general physics.
First term of a two-term calculus-based introduction to astronomy and astrophysics. Topics include the physics of stellar interiors, stellar atmospheres and spectral classifications, stellar energy generation and nucleosynthesis, supernovae, neutron stars, white dwarfs, and interacting binary stars.
Prerequisites: Algebra (Math SAT I score of 600 or permission of the instructor for first-year students).
Corequisites: Lecture and laboratory must be taken together unless permission of the instructor is given. Lecture: MWF 11:00-11:50; Lab lecture and laboratory one afternoon: MTWRF: 1:10-5:00. Counts towards Lab Science requirement.
Atoms; elements and compounds; gases; solutions; equilibrium; acid-base, precipitation, and oxidation-reduction reactions; thermochemistry. Laboratory experience with both qualitative and quantitative techniques.
Introductory biology course for majors in biology or environmental biology, emphasizing the ecological and evolutionary context of modern biology.
Prerequisites: some calculus or the instructor's permission.
Intended as an enrichment to the mathemathics curriculum of the first years, this course introduces a variety of mathematical topics (such as three dimensional geometry, probability, number theory) that are often not discussed until later, and explains some current applications of mathematics in the sciences, technology and economics.
Prerequisites: a working knowledge of high school algebra, trigonometry, and physics. Some familiarity with calculus is useful but not essential.
This course is a comprehensive, one-semester introduction to the essential ideas and mathematical structures underlying Einstein’s Special Theory of Relativity. Among the topics covered will be: the relativity of simultaneity, time dilation, Lorentz contraction, velocity combination laws, time dilation over large distances, the Lorentz transformation, spacetime diagrams, the basic (seeming) paradoxes of special relativity, relativistic equations of motion and E = mc2.
Corequisites: Calculus I or the equivalent.
Fundamental laws of mechanics. Kinematics, Newton's laws, work and energy, conservation laws, collisions, rotational motion, oscillations, gravitation.
Corequisites: Calculus I or the equivalent.
Fundamental laws of mechanics. Kinematics, Newton's laws, work and energy, conservation laws, collisions, rotational motion, oscillations, gravitation.
Corequisites: Calculus I or the equivalent.
Fundamental laws of mechanics. Kinematics, Newton's laws, work and energy, conservation laws, collisions, rotational motion, oscillations, gravitation.
Prerequisites: The department's 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.
An interdisciplinary and topical approach to the major issues and phases of East Asian civilizations and their role in the contemporary world.
Prerequisites: Enrollment limited. Permission given by instructor only at first meeting.
Students attend a variety of performances as well as a weekly lab meeting. Emphasis on expanding students' critical vocabulary and understanding of current New York theatre and its history. Section on contemporary New York theatre management and production practices.
Lecture and recitation. Islamic civilization and its characteristic political, social, and religious institutions and intellectual traditions.
Interdisciplinary and thematic approach to the study of Africa, moving from pre-colonial through colonial and post-colonial periods to contemporary Africa. Focus will be on its history, societal relations, politics and the arts. The objective is to provide a critical survey of the history as well as the continuing debates in African Studies.
Introduces students to crucial theories of society, paying particular attention to classic social theory of the late 19th and 20th centuries. Traces a trajectory through writings essential for an understanding of the social: from Saussure, Durkheim, Mauss, Marx, Freud, and Weber, on to the structuralist ethnographic elaboration of Claude Levi-Strauss, the historiographic reflections on modernity of Michel Foucault, and contemporary modes of socio-cultural analysis. Explored are questions of signification at the heart of anthropological inquiry, and to the historical contexts informing these questions.
Introduces students to crucial theories of society, paying particular attention to classic social theory of the late 19th and 20th centuries. Traces a trajectory through writings essential for an understanding of the social: from Saussure, Durkheim, Mauss, Marx, Freud, and Weber, on to the structuralist ethnographic elaboration of Claude Levi-Strauss, the historiographic reflections on modernity of Michel Foucault, and contemporary modes of socio-cultural analysis. Explored are questions of signification at the heart of anthropological inquiry, and to the historical contexts informing these questions.
This course will focus on individual and collaborative projects designed to explore the fundamental principles of image making. Students acquire a working knowledge of concepts in contemporary art through class critiques, discussion, and individual meetings with the professor. Reading materials will provide historical and philosophical background to the class assignments. Class projects will range from traditional to experimental and multi-media. Image collections will be discussed in class with an awareness of contemporary image production.
Prerequisites: one year of college chemistry, or a strong high school chemistry background.
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. Website: http://www.columbia.edu/cu/biology/courses/c2005/index.html
Prerequisites: one year of college chemistry, or a strong high school chemistry background.
Lecture and recitation. Recommended as the introductory biology course for biology and related majors, and for premedical students. Fundamental principles of biochemistry, molecular biology, and genetics. Website: http://www.columbia.edu/cu/biology/courses/c2005/index.html
Historical introduction to Buddhist thought, scriptures, practices, and institutions. Attention given to Theravada, Mahayana, and Tantric Buddhism in India, as well as selected non-Indian forms.
Prerequisites: Acting classes are open to all Barnard and Columbia undergraduates. Permission of Theatre Department through audition required: auditions for acting classes and for the semester's stage productions held 6pm on the first Tuesday and Wednesday class days of each semester. Acting classes begin meeting after auditions. For required details, consult "Auditions" on the Barnard Theatre Department website in advance: theatre.barnard.edu/auditions.
Course develops the processes and tools an actor needs to approach the text of a play. Students develop their physical, vocal, and imaginative range and skills through voice and speech exercises, work on non-verbal behavior, improvisation, and character development. IN THE FALL SEMESTER OPEN ONLY TO FIRST-YEAR STUDENTS. Course encouraged for prospective BC Theatre and CU Drama and Theatre Arts majors.
This course will focus on individual and collaborative projects designed to explore the fundamental principles of image making. Students acquire a working knowledge of concepts in contemporary art through class critiques, discussion, and individual meetings with the professor. Reading materials will provide historical and philosophical background to the class assignments. Class projects will range from traditional to experimental and multi-media. Image collections will be discussed in class with an awareness of contemporary image production.
The class explores the intersection of aesthetics and ethnography in contemporary nonfiction filmmaking. Course readings address the blurring of boundaries between filmic genres and the multiplicity of relationships they establish between the "pro-filmic" and the filmic; the ethics as well as the epistemology of visual and auditory representations and the relationships that are put into play between films' subjects, their makers, and their audiences in a variety of cultural contexts; the social life of images; and the relationship between anthropological knowledge and various documentary modalities.
Lecture and discussion. An introductory survey that studies East Asian Buddhism as an integral , living religious tradition. Emphasis on the reading of original treatises and historiographies in translation, while historical events are discussed in terms of their relevance to contemporary problems confronted by Buddhism.
Prerequisites:
MATH V1201
, or the equivalent.
Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Corequisites: CHEM BC2001 and CHEM BC2012
Required pre-lab discussion section for BC2001x General Chemistry. All students enrolled in BC2001x must also be enrolled in one section of BC2011 that is the SAME as BC2012 .
Corequisites: CHEM BC2001 and CHEM BC2011.
Required laboratory section for BC2001x General Chemistry. All students enrolled in BC2001x must also be enrolled in one section of BC2012 and one section of BC2011 on the SAME day.
Social organization and social change in China from late imperial times to the present. Major topics include family, kinship, community, stratification, and the relationships between the state and local society.
A survey of the major syncretic urban popular music styles of the Caribbean, exploring their origins, development, and sociocultural context.
Prerequisites: one of
STAT W1001
,
W1111
, or
W1211
.
Develops critical thinking and data analysis skills for regression analysis in science and policy settings. Simple and multiple linear regression, non-linear and logistic models, random-effects models, penalized regression methods. Implementation in a statistical package. Optional computer-lab sessions. Emphasis on real-world examples and on planning, proposing, implementing, and reporting.
Prerequisites:
STAT W2025
.
A sample of topics and application areas in applied statistics. Topic areas may include: Markov processes and Queuing theory; Meta-Analysis of clinical trial research; Receiver-Operator Curves in Medical Diagnosis; Spatial statistics with applications in geology, astronomy, and epidemiology; Multiple comparisons in bio-informatics; Causal modeling with missing data; statistical methods in genetic epidemiology; Stochastic analysis of neural spike train data; Graphical models for computer and social network data.
Prerequisites:
ECON W1105
.
The workshop prepares students to compete in the annual College Fed Challenge sponsored by the Federal Reserve. Topics covered include macroeconomic and financial conditions, monetary policy, financial stability and the Federal Reserve System.
With the arrival of the first Jewish immigrants in New York in the mid-1600s until today, Jewish music in the City has oscillated between preserving traditions and introducing innovative ideas. This course explores the variety of ways people have used music to describe, inscribe, symbolize, and editorialize their Jewish experience. Diverse musical experiences will serve as a window to address wider questions of identity, memory, dislocation, and connections to New York's dynamic and eclectic music culture. We will experience the City's Jewish soundscape by visiting various venues and meeting key players in today's music scene, in order to engage in the ongoing dialogues that define Jewishness in New York. Although a basic familiarity with Judaism and/or music is helpful for this course, it is by no means required. You do not need to know Jewish history to take this class, nor do you need to be musically literate. All translations will be provided, and all musical analysis will be well explained.
Prerequisites:
MATH V1102-MATH V1201
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 will focus on key debates that have shaped the study of Africa in the post-colonial African academy. We will cover seven key debates: (1) Historiography; (2) Slavery and slave trades; (3) State Formation; (4) Colonialism; (5) Underdevelopment; (6) Nationalism and the anti-colonial struggle; (7) Political Identity and political violence in the post-colony. Partial Fulfillment of Global Core Requirement.
With the arrival of the first Jewish immigrants in New York in the mid-1600s until today, Jewish music in the City has oscillated between preserving traditions and introducing innovative ideas. This course explores the variety of ways people have used music to describe, inscribe, symbolize, and editorialize their Jewish experience. Diverse musical experiences will serve as a window to address wider questions of identity, memory, dislocation, and connections to New York's dynamic and eclectic music culture. We will experience the City's Jewish soundscape by visiting various venues and meeting key players in today's music scene, in order to engage in the ongoing dialogues that define Jewishness in New York. Although a basic familiarity with Judaism and/or music is helpful for this course, it is by no means required. You do not need to know Jewish history to take this class, nor do you need to be musically literate. All translations will be provided, and all musical analysis will be well explained.
Prerequisites: Open to all students, preference given to Urban Teaching, Ed Studies and Urban Studies. Enrollment limited to 15 students for each section. Permission of instructor required.
Contemporary Issues in Education is an introduction to the range of intellectual dilemmas that are a part of American schooling through the illumination of the various social, philosophical, economic, and institutional forces that shape the learning environment. The topics serve to promote critical thought of educational dilemmas stemming from issues such as power and authority, the intersection of race, gender, socio-economic inequity, and challenges that confront students such as identity, marginalization and resiliency. This course is open to all students interested in investigating one’s best “fit” in the education realm, which may include classroom teaching, educational policy, reform, and NGO-based involvement.
Prerequisites: Required for Barnard NOYCE Scholars. Enrollment is open to all, including first year students
This course introduces students to current topics in mathematics education through the Barnard College STEM Colloquium Series and discussion sessions. Students will explore the sociopolitical contexts in which STEM education takes place, and consider the implication of these contexts for mathematics teaching and learning in light of the topics presented.
Prerequisites: Introduction to Economic Reasoning (ECON BC 1003) or Principles of Economics (ECON W1105). An introductory course in political theory or political philosophy is strongly recommended, but not required.
Introduce students to problems of economic justice under capitalism. Course has three goals: (1) expose students to debates between economics and philosophers about the meaning and nature of justice, (2) explore conflict between efficiency and justice, (3) examine implications of justice for gender equality, intergenerational equity and climate change.
Prerequisites: BIOL BC1500, BIOL BC1501, BIOL BC1502, BIOL BC1503 or the equivalent.
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: First-year chemistry and physics or equivalent.
This course serves as an introduction to the chemical engineering profession. Students are exposed to concepts used in the analysis of chemical engineering problems. Rigorous analysis of material and energy balances on open and closed systems is emphasized. An introduction to important processes in the chemical and biochemical industries is provided.
Introduction to design for a sustainable planet. Scientific understanding of the challenges. Innovative technologies for water, energy, food, materials provision. Multi-scale modeling and conceptual framework for understanding environmental, resource, human, ecological and economic impacts and design performance evaluation. Focus on the linkages between planetary, regional and urban water, energy, mineral, food, climate, economic and ecological cycles. Solution strategies for developed and developing country settings.
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.
Corequisites:
PHIL V2111
Required Discussion Section (0 points).
Exposition and analysis of the positions of the major philosophers from the pre-Socratics through Augustine. This course has unrestricted enrollment.
Prerequisites: The department's 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.
The intermediate workshop in nonfiction is designed for students with some experience in writing literary nonfiction. Intermediate workshops present a higher creative standard than beginning workshops and an expectation that students will produce finished work. Outside readings supplement and inform the exercises and longer written projects. By the end of the semester, students will have produced thirty to forty pages of original work in at least two traditions of literary nonfiction.
Prerequisites:
ECON W1105
.
The course surveys issues of interest in the American economy, including economic measurement, well-being and income distribution, business cycles and recession, the labor and housing markets, saving and wealth, fiscal policy, banking and finance, and topics in central banking. We study historical issues, institutions, measurement, current performance and recent research.
Prerequisites: Permission of the instructor, given at first class meeting.
This course explores the role of the stage manager and production manager in theatrical production. Students undertake hands-on exercises to develop the practical and collaborative skills essential to working both as a stage manager and production manager--script analysis; production timeline and rehearsal management; technical rehearsal; budgeting; working with directors and designers; working with unions; health and safety codes; house management; box office.
Prerequisites: BC1001 or permission of the instructor.
Through a participative classroom model, the major theories of child and adolescent development and learning fundamental to the educative process are examined. Analysis of applications and implications of psychological knowledge for classroom teaching through observations and research in elementary and secondary school classes. Examines models of instruction and assessment; motivation, teaching, and learning strategies; and gender, economic, and racial issues.