Prerequisites: One accounting course (or the equivalent) and one course in finance (BUSI W3001 or the equivalent). Students with substantial and relevant professional experience in financial institutions may be able to meet the demands of this course without previous finance courses.

An exploration of the central concepts of corporate finance for those who already have some basic knowledge of finance and accounting. This case-based course considers project valuation; cost of capital; capital structure; firm valuation; the interplay between financial decisions, strategic consideration, and economic analyses; and the provision and acquisition of funds. These concepts are analyzed in relation to agency problems: market domination, risk profile, and risk resolution; and market efficiency or the lack thereof. The validity of analytic tools is tested on issues such as highly leveraged transactions, hybrid securities, volatility in initial public offerings, mergers and acquisitions, divestitures, acquisition and control premiums, corporate restructurings, sustainable and unsustainable market inefficiencies, etc. Unlike other undergraduate business courses, this course may be counted toward the economics major or concentration by Columbia undergraduates.

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.

An introductory level graduate course that examines the generally accepted account principles (GAAP) underlying the financial statements and their implementation in practice. The perspective and main focus of the course is from the users of the information contained in the statements, including investors, financial analysts, creditors and, management.

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: CHEM S1403 or the equivalent.

The continuation of Chemistry S1403D.

Prerequisites: CHEM S1403 or the equivalent.
Corequisites: CHEM S1404 or the equivalent.

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

Course Fee: $140.00

Prerequisites: CHEM S3443 or the equivalent.

A continuation of Chemistry S3443D, above. Equivalent to Chemistry C3444 or F3444.

Prerequisites: CHEM S3443, or the equivalent. Pre- or corequisite: CHEM S3444 or the equivalent.

The laboratory for Chemistry S3443. Note that the laboratory may not be taken without the lectures. Techniques of experimental organic chemistry, with emphasis on understanding fundamental principles underlying the experiments and the methodology of solving laboratory problems involving organic molecules.

Course Fee: $125.00

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

Language Resource Center Fee: $15.00

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.

Language Resource Center Fee: $15.00

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: 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.

Language Resource Center Fee: $15.00

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.

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.

The Beginning Nonfiction Workshop is designed for students new to the practice of such genres as reportage, criticism, biography and memoir. Various techniques are explored through exercises and other assignments. Critique of student work is supplemented by outside readings.

An introduction to the enormous diversity of life on Earth. From bacteria to mammals, this course will survey species diversity, with an emphasis on ecological interactions and conservation. The course will also use basic genetics and evolutionary biology to explore how diversity is generated and maintained. No previous knowledge of science is assumed.

Fulfills a science requirement for most Columbia undergraduates.

Prerequisites: No prerequisite; fulfills the science requirement for CC & GS.

Using evolutionary principles as the unifying theme, we will survey the study of animal behavior, including the history, basic principles and research methods. Fieldwork is a significant component of this course and through observations at the World Wildlife Conservation Park (Bronx Zoo) and in the urban environment of New York, students will gain familiarity with the scientific method, behavioral observation and research design.

Course Fee: $15.00

Equivalent to Economics W1105, the first course for the major in economics. How a market economy determines the relative prices of goods, factors of production, and the allocation of resources; the circumstances under which it does these things efficiently. Why such an economy has fluctuations and how they may be controlled.

Prerequisites: ECON W1105 or the equivalent; one term of calculus.

Equivalent to Economics W3213. National income accounting, output and employment, Keynesian and neo-Keynesian analysis, affirmative schools, economic growth.

Prerequisites: Economics W3211 and Economics W3213.

Equivalent to Economics 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: ECON W3211 and W3213.

Equivalent to ECON W4500. The theory of international trade, comparative advantage and the factor endowments explanation of trade, analysis of the theory and practice of commercial policy, economic integration. International mobility of capital and labor, the North-South debate.

Prerequisites: One term of college French or one year of secondary school French.

Equivalent to French C1102 or F1102. Continues the work of French S1101D and completes the study of elementary French. Students continue to develop communicative skills, narrating recent events (past, present, and future), describing daily life activities, and learning about cultural features of France and of the wider Francophone world. Following the communicative approach, students, with the help of the instructor, learn to solve problems using the language, to communicate their feelings and opinions, and to obtain information from others. Daily assignments, quizzes, laboratory work, and screening of video materials.

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

Prerequisites: One term of college French or one year of secondary school French.

Equivalent to French C1102 or F1102. Continues the work of French S1101D and completes the study of elementary French. Students continue to develop communicative skills, narrating recent events (past, present, and future), describing daily life activities, and learning about cultural features of France and of the wider Francophone world. Following the communicative approach, students, with the help of the instructor, learn to solve problems using the language, to communicate their feelings and opinions, and to obtain information from others. Daily assignments, quizzes, laboratory work, and screening of video materials.

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.

Prerequisites: GERM V1201 or S1201, or the equivalent.

Equivalent to German V1202. Topics cover areas of German literature, history, art, and society. Students also read a German novel or drama. Intermediate-high to advanced-low proficiency (ACTFL scale) in speaking, listening, reading, and writing German is expected upon completion. Prepares student for advanced German, upper-level literature and culture courses and study in Berlin. Students planning to study in Berlin in spring 2006 are advised to complete German S1202 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

Prerequisites: ITAL S1101, or the equivalent.

Continues the work of Italian 1101 and completes the study of elementary Italian. Students continue to develop communicative skills (listening, speaking, reading, and writing skills). Upon successful completion of this course, students should be able to provide basic information in Italian about wants and needs, personal opinions and wishes, personal experiences, past activities, and daily routines; read simple texts on familiar matters of high frequency everyday or job-related language; draw on a repertoire of vocabulary and syntax sufficient for dealing with everyday situations.

Language Resource Center Fee: $15.00

Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year.

Recommended preparation: Math S0065. Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.

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 S1201, or the equivalent.

Equations of order one, linear equations, series solutions at regular and singular points. Boundary value problems. Selected applications.

Prerequisites: MATH S4061, or the equivalent with the instructor's permission.

Equicontinuity. Contraction maps with applications to existence theorems in analysis. Lebesgue measure and integral. Fourier series and Fourier transform

Prerequisites: High school mathematics, but not calculus. This course does not carry credit toward the bachelor's degree and may be taken on a Pass/Fail basis only. Not open to pre-college students.

Basic Physics serves as preparation for General Physics 1201-1202 and is intended for those students who do not have a solid foundation in high school physics or who have been away from school for several years. The course will provide an introduction to the basic concepts and fundamental laws of physics, focusing on mechanics, together with a review of the mathematical techniques needed for problem-solving.

Prerequisites: PHYS S1201 or the equivalent. This course uses elementary concepts from calculus, and students should therefore have some basic background in differentiation and integration.

The same course as Physics S1202X, but given in a six-week session. Assignments to discussion sections are made after the first lecture. Basic introduction to the study of electricity, magnetism, optics, special relativity, quantum mechanics, atomic physics, and nuclear physics.The accompanying laboratory is Physics S1292Q.

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 S1202 (may be taken simultaneously).

Laboratory for Physics 1202Q. Assignments to laboratory sections are made after the first lecture.

Lab Fee: $25.00

The historical and contemporary roles of various racial and ethnic groups; initiation, demands, leadership and organizational styles, orientation, benefits, and impact on the structures and outputs of governance in the United States.

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.

The nexus between energy and security as revealed in the policies of leading energy producers and consumers worldwide. Oil and the search for stability and security in the Persian Gulf, Caspian basin, Africa and Latin America. Russia as an increasingly important global energy player, including its role in the construction of a new security architecture in the European Union; the Russian energy sector and transatlantic relations; its use of energy as a negotiating tool for sanctions and embargoes; Russia and OPEC. Asia�s growing energy needs: impact on the markets; nuclear energy and proliferation; the threat of this new competition as perceived by the West and reflected in multilateral diplomacy. Energy and environment: climatic change; transnational threats to environment; and attempts of environmental regulation on the local and global levels; the Kyoto protocol and its implementation; alternative and renewable sources of energy.

The interaction of intelligence and political decision-making in the U.S., other Western democracies, and Russia. Intelligence analyzed both as a governmental institution and as a form of activity, with an emphasis on complex relations within the triangle of intelligence communities, national security organizations, and high-level political leadership. The function of intelligence considered against the backdrop of rapid evolution of information technology, globalization, and international terrorism.

Chaos, fiascos, complexity, and risk: this course encourages creative thinking and alternative approaches to the persistent and the random that will tweak and shape the global agenda. Historical and contemporary trends provide a framework for analysis. Subjects include inter alia, state conflict, "globalism," political cohesion and disintegration, terrorism, science and technology, the gap between rich and poor, communications, environmental degradation, and the unforeseen.

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 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 1102, 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

The fundamentals of painting. Students begin working from observation using still-life objects and graduate to figurative and imaginative compositions. Concepts of color, space, form, narrative, and structure are addressed and a variety of techniques are practiced.

Course Fee: $65.00

Introduction to the fundamentals of silkscreen techniques. Students gain familiarity with the technical processes of silkscreen and are encouraged to use the processes to develop their visual language. Students are involved in a great deal of drawing for assigned projects. Portfolio required at end.

Course Fee: $100.00

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

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