Prerequisites: An introductory course in economics and a firm grasp of high school algebra. Those without such a background should first take ECON S1105 plus one of the following: MATH S1003 or W1007, or STAT W1001 or S1111.

How assets are priced in financial markets, where assets are viewed, most generally, as claims to future income streams. Applications to stocks, bonds, entire companies, etc. Notions of the present value of a cash flow, systematic risk, capital structure, and Miller-Modigliani Theory are emphasized. Consideration of leveraged buyouts, mergers, and stock repurchases. Introduction to options and futures. Lectures and problems.

An introduction to and overview of major concepts of management and organization theory concentrating on understanding human behavior in organizational contexts, with heavy emphasis on the application of concepts to solve managerial problems. Behavioral issues at the individual, group, and systems levels. The class is shaped around lectures, discussions, case studies, simulations, and small group exercises.

Is designed to provide students with an understanding of the fundamental marketing concepts and their application by business and nonbusiness organizations, including consumer goods firms, manufacturing and service industries, and small and large businesses. An overview of marketing strategy issues, elements of a market�-company, customers, and competition, as well as the fundamental elements of the marketing mix�-product, price, placement (distribution) and promotion with attention to theory and applications. Extensive use of cases and exercises simulate a real-world environment in which to apply and hone decision-making skills.

Prerequisites: An introductory course in economics and a firm grasp of high school algebra. Those without such a background should first take ECON S1105 plus one of the following: MATH S1003 or W1007, or STAT W1001 or S1111.

How assets are priced in financial markets, where assets are viewed, most generally, as claims to future income streams. Applications to stocks, bonds, entire companies, etc. Notions of the present value of a cash flow, systematic risk, capital structure, and Miller-Modigliani Theory are emphasized. Consideration of leveraged buyouts, mergers, and stock repurchases. Introduction to options and futures. Lectures and problems.

An introduction to and overview of major concepts of management and organization theory concentrating on understanding human behavior in organizational contexts, with heavy emphasis on the application of concepts to solve managerial problems. Behavioral issues at the individual, group, and systems levels. The class is shaped around lectures, discussions, case studies, simulations, and small group exercises.

Designed to provide students with an understanding of the fundamental marketing concepts and their application by business and nonbusiness organizations, including consumer goods firms, manufacturing and service industries, and small and large businesses. An overview of marketing strategy issues, elements of a market--company, customers, and competition, as well as the fundamental elements of the marketing mix--product, price, placement (distribution) and promotion with attention to theory and applications. Extensive use of cases and exercises simulate a real-world environment in which to apply and hone decision-making skills.

Not for credit toward the bachelor's degree. Given on a Pass/Fail basis only. Preparation for Chemistry S1403 or the equivalent, as well as for other science courses. Topics include electronic and nuclear structure of atoms, nomenclature, chemical bonding and its relation to molecular structure, chemical reactions, stoichiometry, periodic properties of elements, equilibria, gas laws, acids and bases, and kinetics.

Prerequisites: High school chemistry and algebra, CHEM S0001, or permission of the department.

Students who wish to take lectures and laboratory should register for Chemistry S1404Q and S1500Q(see below). Topics include kinetic theory of gases, solutions, equilibria, oxidation-reduction reactions, thermodynamics, chemical kinetics, the electronic structure of atoms, chemical bonding and its relationship to the geometries of molecules, periodic properties of the elements, transition metal complexes, and introduction to organic chemistry and biochemistry

Prerequisites: CHEM C1403, F1403 or the equivalent.

Introduction to basic experimental techniques in chemistry, including quantitative procedures, chemical analysis, and descriptive chemistry.

Lab Fee: $140.00

Prerequisites: CHEM S1403, S1404, and S1500, or their equivalents, taken within the previous five years.

Students who wish to take the lectures and laboratory should register for Chemistry S3444Q and S3543Q(see below). Principles of organic chemistry. The structure and reactivity of organic molecules from the standpoint of modern theories of chemistry. Stereochemistry, reactions of organic molecules, mechanisms of organic reactions, syntheses and degradations of organic molecules, spectroscopic techniques of structure determination.

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.

Equivalent to Latin 1101 and 1102. Covers all of Latin grammar and syntax in one term to prepare the student to enter Latin 1201 or 1202. This is an intensive course with substantial preparation time outside of class.

Language Resource Center Fee: $15.00

Prerequisites: One printmaking or drawing class in the Visual Arts department.

The objective of the course is to provide students with an interdisciplinary link between drawing and printmaking through an integrated studio project. Students will use drawing, printmaking and collage to create a body of work to be presented in a folio format. In the course, students develop and refine their drawing sensibility, and are encouraged to experiment with various forms of non-traditional printmaking.

The Beginning Fiction Workshop is designed for students who have little or no experience writing imaginative prose. Students are introduced to a range of craft concerns through exercises and discussions, and eventually produce their own writing for the critical analysis of the class. Outside readings supplement and inform the exercises and longer written projects.

Prerequisites: Students must submit 10-20 double-spaced pages of fiction and the approval of the instructor. Writing samples must be submitted electronically as an attachment to summerterm@columbia.edu. Samples should include your name on the first page. In the body of the email please list your name, school, year, UNI and the course you are applying to. Submissions must be received by 4:00 pm Tuesday, May 12. Students will be notified of the final decision by email. Students who are accepted into the course will be registered at that time.

The Intermediate Fiction Workshop is for students with some creative writing experience 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. Students are additionally expected to write extensive critiques of the work of their peers, and to explore questions of craft with increased rigor.

The Beginning Poetry Workshop is designed for students who have a serious interest in poetry writing but who lack a significant background in the rudiments of the craft and/or have had little or no previous poetry workshop experience. Students will be assigned weekly writing exercises emphasizing such aspects of verse composition as the poetic line, the image, rhyme and other sound devices, verse forms, repetition, tone, irony, and others. Students will also read an extensive variety of exemplary work in verse, submit brief critical analyses of poems, and critique each other's original work.

The study of nonhuman primate behavior from the perspective of phylogeny, adaptation, physiology and anatomy, and life history. This course focuses on the four main problems primates face: finding appropriate food, avoiding being eaten themselves, reproducing in the face of competition, and dealing with social partners. No previous knowledge of science is assumed.

Fulfills a science requirement for most Columbia undergraduates.

Course Fee: $10.00

Prerequisites: ECON W1105 or the equivalent; MATH V1201 or knowledge of multivariate calculus.

Equivalent to Economics W3211. The determination of the relative prices of goods and factors of production and the allocation of resources

Prerequisites: STAT W1211, Math V1201 and either intermediate micro or macro (W3211 or W3213)

Equivalent to Economics W3412Modern econometric methods, the general linear statistical model and its extensions, simultaneous equations and the identification problem, time series problems, forecasting methods, extensive practice with the analysis of different types of data.

Prerequisites: ECON W3211 and ECON W3213.

Equivalent to Economic W4415. Introduction to the systematic treatment of game theory and its applications in economic analysis.

Equivalent to French C1101 or F1101. Designed to help students understand, speak, read, and write French, and to recognize cultural features of French-speaking communities, now with the help of a newly digitized audio program. Students learn to provide information in French about their feelings, environment, families, and daily activities. Daily assignments, quizzes, laboratory work, and screening of video material.

Language Resource Center Fee: $15.00
Materials Fee: $10.00

Equivalent to French C1101 or F1101. Designed to help students understand, speak, read, and write French, and to recognize cultural features of French-speaking communities, now with the help of a newly digitized audio program. Students learn to provide information in French about their feelings, environment, families, and daily activities. Daily assignments, quizzes, laboratory work, and screening of video material.

Language Resource Center Fee: $15.00
Materials Fee: $10.00

Prerequisites: Two terms of college French or two years of secondary school French.

Equivalent to French C1201 and F1201. Prepares students for advanced French language and cultures, focusing on developing correct usage through explanations and practice. Gaining a deeper understanding of the French language through readings of poems and short stories, students practice a variety of communication tasks, as they are engaged in ever more complex forms of discourse. Daily assignments, quizzes, laboratory work, and screening of video materials.

Language Resource Center Fee: $15.00
Materials Fee: $10.00

Prerequisites: FREN C1202 or F1202, or the equivalent.

Equivalent to French W3405. Teaches advanced students the complexities of French grammar and precise use of syntactic structures through advanced grammatical explanations and exercises. Designed to give students repeated practice and solid command not only of French grammar, but also of the French forms of essay writing (commentaire compos�, explication de texte, dissertation, r�sum�) indispensable to students planning to study in France. Essays will be based on literature from the entire history of French literature, from the Middle Ages to the present. Required of all French majors. Daily assignments include quizzes, compositions, and homework.

Language Resource Center Fee: $15.00
Materials Fee: $10.00

Prerequisites: No previous knowledge of German required, but some background is strongly recommended.

Equivalent to German F1113-F1114. This accelerated survey of German grammar, reading techniques, and dictionary skills is designed primarily for graduate students preparing for reading proficiency exams or wishing to do research in German-language literature. Extensive exercises in translation, reading for general comprehension, and specialized reading are based on texts drawn from the students' fields of study. Although this course does not satisfy any part of the foreign language requirement for degree candidates, successful completion of the translation on the final exam fulfills the German reading proficiency requirement in most graduate programs.

Students are advised that this course is a full-time commitment. Students should expect to study 2 hours every day for every hour spent in the classroom and additional time on weekends.

Special Tuition Price: $6,300

Equivalent to German V1101 and V1102. This intensive program provides one year of German in one six-week session. The course enables students to understand, speak, read, and write in German about a range of subjects: family activities, studies, work and home life, as well as travel, economics, and current events. Classes are conducted entirely in German and supplemented with written homework and audiovisual materials.

The program draws on the German heritage of New York City (museums, Goethe Institut, restaurants, etc.). Students are encouraged to attend German-language films and musical performances. Students have many opportunities for informal conversation. Final grades are based on frequent oral and written tests, a project on German culture in New York, and a final examination.

Students are advised that this course consitutes a full-time commitment. The workload of this course is very intense and students will be expected to spend 4-6 hours studying every day outside of class and additional time on weekends.

Language Resource Center Fee: $15.00

Prerequisites: GERM V1102 or S1121, or the equivalent.

Equivalent to German V1201. Prepares students for German 1202 and for advanced German language and literature courses. Topics include personal interests, biographies, German unification, stereotypes, and German-American relations. Upon completion of the course, students should achieve intermediate-high proficiency (ACTFL scale) in speaking, listening, reading, and writing German. Students planning to study in Berlin in spring 2009 are advised to complete German S1201 in the Summer Session.

Students are advised that this course is a full-time commitment. Students should expect to study 2 hours every day for every hour spent in the classroom and additional time on weekends.

Language Resource Center Fee: $15.00

Equivalent to Italian V1101. Students will develop listening, speaking, reading, and writing skills in Italian and an understanding of Italian culture. Upon successful completion of this course, students should be able to provide basic information in Italian about themselves, their families, interests, likes and dislikes, and daily activities; participate in a simple conversation on everyday topics; to read edited texts on familiar topics; and produce Italian with basic grammatical accuracy and accurate pronunciation.

Language Resource Center Fee: $15.00

Designed for students who have not attended school for some time or who do not have a firm grasp of high school mathematics. Recommended as a prerequisite for Math S1003. This course does not carry credit toward the bachelor's degree; Pass/Fail only. Negative numbers, fractions, decimal notation, percentages, powers and roots, scientific notation, introduction to algebra, linear and quadratic equations, Pythagorean theorem, coordinates and graphs.

Prerequisites: High school mathematics through trigonometry or MATH S1003, or the equivalent.

Functions, limits, derivatives, introduction to integrals.

Prerequisites: MATH S1101, or the equivalent.

Methods of integration, applications of the integral, Taylor's theorem, infinite series.

Prerequisites: MATH S1102, or the equivalent.

Columbia College students who aim at an economics major AND have at least the grade of B in Calculus I may take Calculus III directly after Calculus I. However, all students majoring in engineering, science, or mathematics should follow Calculus I with Calculus II. 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.

Prerequisites: MATH S1201, or the equivalent.

Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem

Prerequisites: MATH S1201, or the equivalent.

Matrices, vector spaces, linear transformation, Eigenvalues and Eigenvectors, canonical forms, applications.

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: MATH S1202, S2010, or the equivalent. NOTE: Students must have a current and solid background in the prerequisites for the course: multivariable calculus and linear algebra.

Elements of set theory and general topology. Metric spaces. Euclidian space. Continuous and differentiable functions. Riemann integral. Uniform convergence.

Prerequisites: This course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration.

Assignments to discussion sections are made after the first lecture. Basic introduction to the study of mechanics, fluids, and thermodynamics. The accompanying laboratory is Physics S1291D.

NOTE: There are two recitation sessions that meet for one hour each week. The recitation times will be selected at the first class meeting.

Prerequisites: PHYS S1201 (may be taken simultaneously).

Laboratory for Physics S1201D. Assignments to laboratory sections are made after the first lecture.

Lab Fee: $25.00

Introduction to national political institutions and processes. The presidency, Congress, the courts, political parties and elections, interest groups, and public opinion.

The growth of presidential power, the creation and use of the institutionalized presidency, presidential-congressional and presidential-bureaucratic relationships, and the presidency and the national security apparatus.

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.

Examines the origins of terrorism and the challenges posed by terrorist groups to states and to the international system. We assess a wide variety of terrorist organizations, and examine the psychological, socioeconomic, political, and religious causes of terrorist violence past and present. We also analyze the strengths and weaknesses of various counterterrorism strategies, from the point of view of ethics as well as efficacy, and look into ways in which the new threat of global terrorism might affect the healthy functioning of democratic states.

Elementary course, equivalent to Spanish V1101 or F1101. Fundamental principles of grammar; practice in pronunciation. Reading and conversation are introduced from the beginning. Use of the language laboratory is required.

Language Resource Center Fee: $15.00

Prerequisites: SPAN S1101, or the equivalent.

Equivalent to Spanish F1102 or V1102. Grammar exercises, prose readings, and practice in the spoken language.

Language Resource Center Fee: $15.00

Prerequisites: SPAN S1102, or the equivalent.

Equivalent to Spanish C1201 or F1201. Rapid grammar review, composition, and reading of literary works by contemporary authors.

Language Resource Center Fee: $15.00

Prerequisites: SPAN S1201, or the equivalent.

Equivalent to Spanish C1202 or F1202. Readings of contemporary authors, with emphasis on class discussion and composition.

Language Resource Center Fee: $15.00

Fundamentals of visual vocabulary. Students work from observation using still-life objects and the human figure. Emphasizes the relationship of lines and forms to each other and to the picture format. Materials used: vine charcoal, compressed charcoal, pencil, pen, ink, and brushes. Class assignments, discussions, and critiques.

Course Fee: $50.00

Prerequisites: One printmaking or drawing class in the Visual Arts department.

The objective of the course is to provide students with an interdisciplinary link between drawing and printmaking through an integrated studio project. Students will use drawing, printmaking and collage to create a body of work to be presented in a folio format. In the course, students develop and refine their drawing sensibility, and are encouraged to experiment with various forms of non-traditional printmaking.

An introduction to photographic tools, techniques, and the language of photo criticism. Work includes camera operations and black-and-white darkroom work, 8x10 print production, and critiques of student work.

Course Fee: $85.00

An introduction to photographic tools, techniques, and the language of photo criticism. Work includes camera operations and black-and-white darkroom work, 8x10 print production, and critiques of student work.

Course Fee: $85.00