An introduction to the language of classical and modern Arabic literature. Designed to develop the skills necessary for reading and speaking in this country or in the Middle East. Integrates the skills of listening, speaking, reading, and writing with an introduction to Arabic culture.
Prerequisites: MDES S1210, or the equivalent.
The continuation of S1210.
Prerequisites: working knowledge of calculus (differentiation and integration).
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. Satisfies the pre-requisites for ECON W3412.
Prerequisites: MDES W1211-W1212, or the equivalent.
A continuation of the study of the language of contemporary writing in Arabic. Designed to increase vocabulary and extend facility with grammatical forms. Listening, speaking, reading, and writing abilities will develop beyond the range of a simple sentence to that of more complex, lengthier discourse. Students begin to feel confident conversing with native speakers.
Prerequisites: Prerequisites: MDES W1211-W1212 and W1214 or the equivalent.
A continuation of the study of the language of contemporary writing in Arabic. Designed to increase vocabulary and extend facility with grammatical forms. Listening, speaking, reading, and writing abilities will develop beyond the range of a simple sentence to that of more complex, lengthier discourse. Students begin to feel confident conversing with native speakers.
Prerequisites:
GREK 1121
or
GREK 1101-1102
, or the equivalent.
Equivalent to Greek 1201 and Greek 1202. Reading of selected Attic Greek prose and poetry with a review of grammar in one term to prepare the student to enter third-year Greek. This is an intensive course with substantial preparation time outside of class.
Prerequisites:
LATN 1101
and
1102
, or the equivalent.
Equivalent to Latin 1201 and 1202. Reading of selected Latin prose and poetry with a review of grammar in one term to prepare the student to enter third-year Latin. This is an intensive course with substantial preparation time outside of class.
Prerequisites:
PHYS S1201
. May be taken before or concurrently with this course.
Laboratory for PHYS S1201D. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.
Prerequisites:
PHYS S1202
. May be taken before or concurrently with this course.
Laboratory for PHYS S1202Q. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.
Prerequisites:
PHYS S1202
. May be taken before or concurrently with this course.
Laboratory for PHYS S1202Q. Assignments to laboratory sections are made after the first lecture, offered Mon/Wed or Tues/Thurs 10.30AM-1.30PM.
Prerequisites: Recommended preparation: a working knowledge of high school algebra.
May be counted toward the science requirement for most Columbia University undergraduate students. The overall architecture of the solar system. Motions of the celestial sphere. Time and the calendar. Major planets, the earth-moon system, minor planets, comets. Life in the solar system and beyond.
Prerequisites: high school chemistry and algebra,
CHEM S0001
, or the department's permission.
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, biological chemistry and inorganic coordination chemistry. Topical subjects may include spectroscopy, solid state and materials science, polymer science and macromolecular structures. The order of presentation of topics may differ from the order presented here. Students are required to attend the separate daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1403D will automatically register students for the recitation section. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1404Q and CHEM S1500X (see below). This course is equivalent to CHEM W1403 General Chemistry I Lecture.
Prerequisites:
CHEM S1403
General Chemistry I Lecture or the equivalent.
Topics include gases, kinetic theory of gases, states of matter: liquids and solids, chemical equilibria, acids and bases, applications of equilibria, thermochemistry and spontaneous processes (energy, enthalpy, entropy, free energy) as well as chemical kinetics and electrochemistry. The order of presentation of topics may differ from the order presented here. Students must also attend the daily morning recitations which accompany the lectures (total time block: MTWR 9:30-12:20). Registering for CHEM S1404Q will automatically register students for the recitation section. The continuation of CHEM S1403D General Chemistry I Lecture. Students who wish to take the full sequence of General Chemistry Lectures and General Chemistry Laboratory should also register for CHEM S1403D and CHEM S1500X (see below). This course is equivalent to CHEM W1404 General Chemistry II Lecture.
Corequisites:
CHEM S1404X
.
To be enrolled in CHEM S1404X, you must be enrolled in CHEM S1406X.
Introduction to the techniques of research employed in the study of human behavior. Students gain experience in the conduct of research, including design of simple experiments, observation and measurement techniques, and the analysis of behavioral data.
Prerequisites:
CHEM S1403
General Chemistry I Lecture or the equivalent.
Corequisites:
CHEM S1403
General Chemistry I Lecture or the equivalent.
Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry. To be enrolled in CHEM S1500D you must also register for CHEM S1501D Lab Lecture MW 1:00pm-2:10pm in 309 Havemeyer.
Prerequisites:
CHEM S1403
General Chemistry I Lecture or the equivalent.
Corequisites:
CHEM S1403
General Chemistry I Lecture or the equivalent.
Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry. To be enrolled in CHEM S1500D you must also register for CHEM S1501D Lab Lecture MW 1:00pm-2:10pm in 309 Havemeyer.
Corequisites:
CHEM S1500D
.
Lab lecture for CHEM S1500D General Chemistry Laboratory.
Corequisites:
CHEM S1500D
.
Lab lecture for CHEM S1500D General Chemistry Laboratory.
A survey of major concepts and issues in international relations. Issues include anarchy, power, foreign policy decision-making, domestic politics and foreign policy, theories of cooperation and conflict, international security and arms control, nationalism, international law and organizations, and international economic relations.
This introductory course is designed to develop reading, speaking, listening, writing and cultural skills in Hindi-Urdu. Students learn the Devanagari script, sound system, basic greetings and social phrases. They learn basic grammatical patterns in Hindi-Urdu and develop vocabulary related to aspects of Indian lifestyle, social traditions and education, etc. At the end of the session, students will be able to read, write and understand texts on familiar topics and speak about themselves and their environment. Course Materials (available at Bookculture): Beginning Hindi: A Complete Course (ISBN 9781626160224) by Pien and Farooqui (Georgetown University Press)
Prerequisites:
PSYC W1001
or
PSYC W1010
, or the equivalent. Recommended preparation: one course in behavioral science and knowledge of high school algebra.
An introduction to statistics that concentrates on problems from the behavioral sciences.
URDU: This session will introduce the Urdu script. It will further enrich students' vocabulary and reinforce grammar learning. This will prepare students for the Intermediate Hindi-Urdu Course. Students will continue to develop skills in speaking, listening, reading and writing. They will learn more patterns of Hindi-Urdu grammar and keep on expanding their vocabulary. Upon successful completion of this course, they will be able to initiate and sustain conversations on a range of topics related to different aspects of Indian culture, social and family life; and carry out written correspondence related to daily life. Course will require book used in Elementary Hindi-Urdu I.
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. Global Core.
Prerequisites:
MATH S1201
Calculus III, or the equivalent.
Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.
A broad historical survey of major thinkers in early modern philosophy, including Bacon, Descartes, Spinoza, Leibniz, Locke, Berkeley, Hume, and Kant, focusing on the way each thinker deals with the challenge of skepticism in developing an account of the nature of reality and how we might come to know it.
Prerequisites:
PSYC W1001
The Science of Psychology or
PSYC W1010
Mind, Brain and Behavior (recommended) or the instructor's permission.
How mental activities -- particularly human cognitive processes -- are implemented in the brain, with some emphasis on methods and findings of neuroscience. Topics include long term and working memory, attention and executive processes, concepts and categorization, decision making, and language.
Prerequisites: an introductory course in psychology.
Models of judgment and decision making in both certain and uncertain or risky situations, illustrating the interplay of top-down (theory-driven) and bottom-up (data-driven) processes in creating knowledge. Focuses on how individuals do and should make decisions, with some extensions to group decision making and social dilemmas.
Prerequisites: Recommended preparation: a course in psychology and high school physics, chemistry, and biology.
An introduction to the analysis of psychological issues by anatomical, physiological, and pharmacological methods. Topics include neurons, neurotransmitters, neural circuits, human neuroanatomy, vision, learning, memory, emotion, and sleep and circadian rhythms.
Prerequisites:
MATH V1102
-
MATH V1201
or the equivalent and
MATH V2010
.
Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control.
Prerequisites:
BIOL C2005
or
F2005
(Introduction to Molecular and Cellular Biology, I) or equivalent.
The lab will focus on experiments in genetics and molecular biology with emphasis on data analysis and interpretation.
Prerequisites:
PSYC W1001
or
PSYC W1010
or the instructor's permission.
An examination of definitions, theories, and treatments of abnormal behavior.
Surveys important methods, findings, and theories in the study of social influences on behavior. Emphasizes different perspectives on the relation between individuals and society.
The nature of cinema as a technology, a business, a cultural product, an entertainment medium, and most especially an art form. Study of cinematic genres, stylistics, and nationalities; outstanding film artists and artisans; the relationship of cinema to other art forms and media, as well as to society.
In the last 20 years, new media technologies have transformed the documentary film. Just as innovative modes of production, online distribution, and exhibition have fundamentally changed documentary practice, dynamic forms of documentary have had a profound influence on how people view their local community and the broader world around them. This course explores how prominent filmmakers, public television stations, international human rights groups, and amateur videomakers have made use of and shaped today's changing documentary formats. We will examine films by Errol Morris, Oliver Stone, and Spike Lee, television programs by ESPN and PBS, online short productions by VICE and citizen journalists, and elaborate 3D projects by the New York Times. Special guest speakers in the field of documentary will visit our class to talk about the opportunities and challenges for making films and engaging audiences in an increasingly diversified media environment.
Prerequisites:
ECON W3211
Intermediate Microeconomics and
ECON W3213
Intermediate Macroeconomics.
Equivalent to ECON V3025. Institutional nature and economic function of financial markets. Emphasis on both domestic and international markets (debt, stock, foreign exchange, Eurobond, Eurocurrency, futures, options, and others). Principles of security pricing and portfolio management; the capital asset pricing model and the efficient markets hypothesis.
Prerequisites:
MATH S1201
, or the equivalent.
Equations of order one, linear equations, series solutions at regular and singular points. Boundary value problems. Selected applications.
Prerequisites: apply directly to the School of the Arts. For more information please see:
http://arts.columbia.edu/summer/film/course/television-writing-intensive
.
The Television Writing Intensive is a six week, concentrated and encompassing introduction into the field of television writing, designed to prepare students for the professional worlds of sit-coms, one-hour dramas and police / medical procedurals. In an interconnected program consisting of two intensive writing workshops and a lecture series with guest writers and professionals in the field, students gain the knowledge and authority to explore, examine and create the kind of groundbreaking work that is taking over cable and making its way onto the Networks, here and around the world. The Television Writing Intensive focuses on two specific tracks. One track is the half-hour comedy; the other is the one-hour drama. These two formats, although having much in common, come out of different traditions and are conceived and written in different ways. * This intensive course will meet 15 hours per week, on Mondays and Tuesdays for six hours during the day (exact times TBD), and Thursday evenings for three hours (exact time TBD). These times are probable but subject to change based on availability of guest speakers and other opportunities which may arise, but the general format will stay the same if changes do occur. Meaning, the course will meet for two week days for six hours and one week night for three hours, avoiding Fridays, Saturdays, and Sundays.
This course considers some fundamental puzzles about the nature of law. Legal philosophers, judges, academic lawyers, and political scientists give very different answers to the following key questions: What is law? What kind of question is "what is law?"? Does law have a function and if so what is it? Is there a relationship between law and ideas of morality or social justice? Does law impose upon citizens an obligation to obey it and if so what is the nature of that obligation and how does it arise? Do we have an obligation to obey unjust laws? How should we interpret laws that are vague, ambiguous, or contradictory? How should judges in a democratic society decide legal disputes? How in fact do judges in our society decide legal disputes? Our goal is to wrestle with these problems and, with some luck, form our own ideas about whether and how they might be resolved. We will consider a variety of recent contributions from within legal, political, and moral philosophy, sociology, judicial political science, economics, the philosophy of language, and ,even literary interpretation. Our focus will be on the most important scholarly contributions in Anglophone legal philosophy, along with several landmark American court cases which raise important theoretical questions.
Prerequisites:
COMS W1004
Introduction to Computer Science and Programming in Java or knowledge of JAVA.
Data types and structures: arrays, stacks, singly and doubly linked lists, queues, trees, sets, and graphs. Programming techniques for processing such structures: sorting and searching, hashing, garbage collection. Storage management. Rudiments of the analysis of algorithms. Taught in Java.
Prerequisites: any introductory course in computer programming.
Logic and formal proofs, sequences and summation, mathematical induction, binomial coefficients, elements of finite probability, recurrence relations, equivalence relations and partial orderings, and topics in graph theory (including isomorphism, traversability, planarity, and colorings).
This course takes the “impression” as a cue to explore fiction, philosophy, and visual art of the period from roughly 1874, the year of the first Impressionist exhibition, to 1925, well into the Modernist period, in order to understand how and why “impressionism” came to have such central importance for writers, artists, and other thinkers. We will ask how and why this idea developed over time, how it influenced and was influenced by movements in realism and Modernism, and how the idea of the impression continues to influence the arts today. This class will be both international in scope, focusing on works by French, British, and American authors, and interdisciplinary, encompassing works of different literary genres, including the novel, the short story, and the sketch, as well as works of painting, photography, philosophy, psychology, and criticism. Each week will include discussions of numerous paintings of the period, and we will often focus on the relationships between different artistic media. The course will also include field trips to the Metropolitan Museum of Art and the Museum of Modern Art. Authors to be covered include Zola, Maupassant, Pater, James, Crane, Hemingway, Ford, and Woolf. This course will satisfy the department’s genre requirement for prose fiction.
This is an intensive, six-week class moving from the basics of paint materials, techniques, issues of color, light, narrative and most of all representation. Students will begin working from still life set-ups in the studio and gradually move towards more ambitious approaches including figure painting from a model. Towards the end of the class students will be encouraged to work on a project or projects that more closely reflect their personal ideas.
Prerequisites:
ECON W1105
Principles of Economics or the equivalent; one term of calculus.
Equivalent to ECON W3213. National income accounting, output and employment, Keynesian and neo-Keynesian analysis, affirmative schools, economic growth.
This course provides an introduction to Shakespeare through reading, discussing and, when possible, viewing local performances of his plays. Our in-class conversations will consist primarily of close analysis of the language and formal texture of the texts, centering on Shakespeare's highly complex techniques of characterization. We will also devote special attention to exploring the value of each play in our present moment and on our local stages. We'll read 8 plays in all, including Richard III, Midsummer Night's Dream, Julius Caesar, Merchant of Venice, Macbeth, and Hamlet.
Prerequisites:
COMS W3203
Discrete Mathematics: Introduction to Combinatorics and Graph Theory.
Corequisites:
COMS W3134
Data Structures in Java,
COMS W3136
Data Structures with C/C++, or
COMS W3137
Honors Data Structures and Algorithms.
Regular languages: deterministic and non-deterministic finite automata, regular expressions. Context-free languages: context-free grammars, push-down automata. Turing machines, the Chomsky hierarchy, and the Church-Turing thesis. Introduction to Complexity Theory and NP-Completeness.
This course undertakes an interdisciplinary exploration of the simultaneous coming-of-age of the poet and his beloved city. Readings include Whitman's poetry, journalism, and short fiction, as well as works by his contemporaries and literary heirs. Walking tours, site visits and field research also required.
Prerequisites: the instructor's permission; contact
MCRISAFI@barnard.edu
. Students should have taken a course in developmental psychology.
Analysis of human development during the first year of life, with an emphasis on infant perceptual and cognitive development.
Introduction to and analysis of major myths in classical literature. Topics include the changing attitudes and applications of myth from Greek epic to tragedy, as well as modern approaches to myth. Readings include Homer, Hesiod, Aeschylus, Sophocles, and Euripides. All readings in English.