Prerequisites: approval prior to registration; see the director of undergraduate studies for details.
A creative/scholarly project conducted under faculty supervision.
Prerequisites: admission to the departmental honors program.
A two-term seminar for students writing the senior honors thesis.
Prerequisites: open only to qualified majors in the department; the director of undergraduate studies' permission is required.
An opportunity for research under the direction of an individual faculty member. Students intending to write a year-long senior thesis should plan to register for C3996 in the spring semester of their senior year and are strongly advised to consult the undergraduate studies as they plan their programs.
Prerequisites: open only to qualified majors in the department; the director of undergraduate studies' permission is required.
An opportunity for research under the direction of an individual faculty member. Students intending to write a year-long senior thesis should plan to register for C3996 in the spring semester of their senior year and are strongly advised to consult the undergraduate studies as they plan their programs.
Prerequisites:
ITAL V3336
or the equivalent and the instructor's permission.
Students read short texts, analyze the anatomy of an Italian essay, observe and practice sophisticated sentence structures, solidify their knowledge and usage of Italian grammar, and expand their vocabulary. After discussing and analyzing examples of contemporary prose, students will integrate the structures and vocabulary they have acquired into their own writing.
What is the relationship between homoeroticism and homosociality? How does this relationship form conceptions of gender and sexuality in ways that might be historically unfamiliar and culturally or regionally specific? We pursue these questions through the lens of friendship and its relationship to ideas and expressions of desire, love, and loyalty in pre-modern times. We begin by considering the intellectual basis of the modern idea of friendship as a private, personal relationship, and trace it back to earlier times when it was often a public relationship of social and political significance. Some of these relationships were between social equals, while some were unequal forms (like patronage) that could bridge social, political or parochial differences.Thinking through the relationships and possible distinctions between erotic love, romantic love and amity (love between friends), we will draw on scholarly works from a variety of disciplinary perspectives, particularly philosophy, sociology, political theory, literature, history, and art history. We will attend to friendship’s work in constituting, maintaining and challenging various social and political orders in a variety of Asian contexts (West, Central, South and East Asian), with reference to scholarship on European contexts. Primary source materials will include philosophy, religious manuals, autobiographies, popular love stories, heroic epics, mystical poetry, mirror for princes, paintings, material objects of exchange, and architectural monuments.
Prerequisites: Introductory Linear Algebra required. Ordinary Differential Equations recommended. Review of finite-dimensional vector spaces and elementary matrix theory. Linear transformations, change of basis, eigenspaces. Matrix representation of linear operators and diagonalization. Applications to difference equations, Markov processes, ordinary differential equations, and stability of nonlinear dynamical systems. Inner product spaces, projection operators, orthogonal bases, Gram-Schmidt orthogonalization. Least squares method, pseudo-inverses, singular value decomposition. Adjoint operators, Hermitian and unitary operators, Fredholm Alternative Theorem. Fourier series and eigenfunction expansions. Introduction to the theory of distributions and the Fourier Integral Transform. Green's functions. Application to Partial Differential Equations.
Students will be introduced to the fundamental financial issues of the modern corporation. By the end of this course, students will understand the basic concepts of financial planning, managing growth; debt and equity sources of financing and valuation; capital budgeting methods; and risk analysis, cost of capital, and the process of securities issuance.
The main purpose of this course is to acquaint students with different theories and methodological approaches to reading and interpretation of texts. This course may not be taken as Pass/D/Fail.
Prerequisites: an introductory biological/physical anthropology course and the instructor's permission.
Controversial issues that exist in current biological/physical anthropology, and controversies surrounding the descriptions and theories about particular fossil hominid discoveries, such as the earliest australopithecines, the diversity of Homo erectus, the extinction of the Neandertals, and the evolution of culture, language, and human cognition.
Prerequisites: Medical Informatics G4001, Computer Science W3139. Survey of the methods underlying the field of medical informatics. Explores techniques in mathematics, logic, decision science, computer science, engineering, cognitive science, management science and epidemiology, and demonstrates the application to health care and biomedicine.
Prerequisites: BIOL C2005 and C2006.
Corequisites: BMEN E3020, E3820.
Students are introduced to a quantitative, engineering approach to cellular biology and mammalian physiology. Beginning with biological issues related to the cell, the course progresses to considerations of the major physiological systems of the human body (nervous, circulatory, respiratory, renal).
Prerequisites:
UKRN W2102
or the equivalent.
The course is for students who wish to develop their mastery of Ukrainian. Further study of grammar includes patterns of word formation, participles, gerunds, declension of numerals, and a more in-depth study of difficult subjects, such as verbal aspect and verbs of motion. The material is drawn from classical and contemporary Ukrainian literature, press, electronic media, and film. Taught almost exclusively in Ukrainian.
Prerequisites: BUSI K4001 Introduction to Finance/or Professor Approval is required
Students will learn the critical corporate finance concepts including financial statement analysis; performance metrics; valuation of stocks and bonds; project and firm valuation; cost of capital; capital investment strategies and sources of capital, and firm growth strategies. At the end of this course students will understand how to apply these concepts to current business problems.
Prerequisites: Prerequisites: One Accounting course and BUSI K4001 Introduction to Finance/or professor approval is required. Students with substantial and relevant professional experience in financial institutions may be able to meet the demands of this course without a previous finance course.
An exploration of the central concepts of corporate finance for those who already have 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.
Prerequisites: differential and integral calculus, differential equations, and
PHYS W3003
or the equivalent.
Lagrange's formulation of mechanics, calculus of variations and the Action Principle, Hamilton's formulation of mechanics, rigid body motion, Euler angles, continuum mechanics, introduction to chaotic dynamics.
Prerequisites:
CHNS W4003
or the equivalent. See Admission to Language Courses.
This course fulfills the language requirement for east Asian studies majors. Prepares for more advanced study of Chinese through rigorous vocabulary expansion, more sophisticated language usage patterns, and introduction to basics of formal and literary styles. Materials are designed to advance the student's fluency for everyday communicative tasks as well as reading skills. Simplified characters are introduced. CC GS EN CE
Prerequisites: Refer to course syllabus.
This graduate course is only for MS&E, IE and OR students. This is also required for students in the Undergraduate Advanced Track. This class is an introduction to the fundamental methods used in deterministic operations research. Topics covered will include linear programming, network flows, dynamic programming, and nonlinear programming. While we shall discuss the underlying theory with some occasional proofs, the emphasis will be on modeling. Applications of these ideas in various settings will be discussed. Students will learn modeling skills, and develop the ability to build, analyze, and reason logically with models. They will also learn to design and analyze algorithms, and to distinguish good algorithms from not-so good ones. They will also appreciate the capabilities and limitations of deterministic models in operations research.
Prerequisites: Refer to course syllabus.
This graduate course is only for MS&E, IE and OR students. This is also required for students in the Undergraduate Advanced Track. This class is an introduction to the fundamental methods used in deterministic operations research. Topics covered will include linear programming, network flows, dynamic programming, and nonlinear programming. While we shall discuss the underlying theory with some occasional proofs, the emphasis will be on modeling. Applications of these ideas in various settings will be discussed. Students will learn modeling skills, and develop the ability to build, analyze, and reason logically with models. They will also learn to design and analyze algorithms, and to distinguish good algorithms from not-so good ones. They will also appreciate the capabilities and limitations of deterministic models in operations research.
Prerequisites:
BIOL W4004
, one year of biology, or the instructor's permission.
This course is a graduate seminar in Developmental and Systems Neuroscience for students matriculated in a PhD program in Neuroscience. Undergraduate students should instead enroll in W3005y.
Prerequisites:
VIAR R1001
.
Students will connect with the very heart of the Western Art tradition, engaging in this critical activity that was the pillar of draftsmanship training from the Renaissance on through the early Modern Era. This pursuit is the common thread that links artists from Michelangelo and Rubens to Van Gogh and Picasso. Rigorous studies will be executed from plaster casts of antique sculptures, and pedagogical engravings. Students will confront foundational issues of academic training; assessing proportion and tonal value, structure and form. Hours will be spent on a single drawing pushing to the highest degree of accuracy in order develop a means for looking at nature. There is a focus on precision and gaining a thorough understanding of the interaction between light and a surface. This approach emphasizes drawing by understanding the subject and the physical world that defines it. While this training has allowed great representational artists of the past to unlock the poetry from the world around them and continues to inspire a surging new realist movement, it can also serve as a new way of seeing and a launching point for achieving creative goals. If the class is full, please visit http://arts.columbia.edu/undergraduate-visual-arts-program.
Prerequisites:
CHNS W4005
or the equivalent.
Admission after Chinese placement exam and an oral proficiency interview with the instructor. Especially designed for students who possess good speaking ability and who wish to acquire practical writing skills as well as business-related vocabulary and speech patterns. Introduction to semiformal and formal Chinese used in everyday writing and social or business-related occasions. Simplified characters are introduced.
Prerequisites: ENME E3161 or the equivalent or instructor's permission
Principles and methods for designing, building and testing systems to sense the environment. Monitoring the atmosphere, water bodies and boundary interfaces between the two. Sensor systems for monitoring heat and mass flows, chemicals, and biota. Measurements of velocity, temperature, flux and concentration in the field. The class will involve planning and execution of a study to sense a local environmental system.
Prerequisites:
JPNS W4005
or the equivalent.
Readings in authentic/semi-authentic texts, videos, and class discussions.
Prerequisites:
KORN W1202
or the equivalent and consultation with instructor. (See Entrance to Language Courses Beyond the Elementary Level in the main bulletin under Department of Instruction -- East Asian Languages and Cultures.)
Readings in modern Korean. Selections from modern Korean writings in literature, history, social sciences, culture, and videos and class discussions.
Prerequisites:
KORN W1202
or the equivalent and consultation with instructor. (See Entrance to Language Courses Beyond the Elementary Level in the main bulletin under Department of Instruction -- East Asian Languages and Cultures.)
Readings in modern Korean. Selections from modern Korean writings in literature, history, social sciences, culture, and videos and class discussions.
Prerequisites:
MATH V3007
.
A one semeser course covering the theory of modular forms, zeta functions, L -functions, and the Riemann hypothesis. Particular topics covered include the Riemann zeta function, the prime number theorem, Dirichlet characters, Dirichlet L-functions, Siegel zeros, prime number theorem for arithmetic progressions, SL (2, Z) and subgroups, quotients of the upper half-plane and cusps, modular forms, Fourier expansions of modular forms, Hecke operators, L-functions of modular forms.
Prerequisites: BUSI K4001 Intro to Finance and BUSI K4003 Corporate Finance or Professor Approval required
Students will learn about financial derivative securities: their role in financial management is becoming increasingly important, especially in portfolio management. By the end of this course students will be able to identify valuation of various options and futures as well as their use in risk management. By the end of this course, students will be able to understand option and futures pricing models, option strategies and index arbitraging.
Prerequisites:
CHNS W4007
or the equivalent.
Admission after placement exam. Focusing on Tang and Song prose and poetry, introduces a broad variety of genres through close readings of chosen texts as well as the specific methods, skills, and tools to approach them. Strong emphasis on the grammatical and stylistic analysis of representative works. CC GS EN CE
Students will examine the generally accepted account principles (GAAP) underlying 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. By the end of this class students will be able to construct a cash flow statement, balance sheet and decipher a 10K report.
Students will examine the generally accepted account principles (GAAP) underlying 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. By the end of this class students will be able to construct a cash flow statement, balance sheet and decipher a 10K report.
Prerequisites: Senior status in biomedical engineering or the instructor's permission.
Covers a wide range of ethicical issues expected to confront graduates as they enter the biotechnology industry, research, or medical careers. Topics vary and incorporate guest speakers from Physicians and Surgeons, Columbia Law School, Columbia College, and local industry.
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. Lectures, discussions, case studies, simulations, and small group exercises.
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. Lectures, discussions, case studies, simulations, and small group exercises.
Prerequisites: CHEN E3120 and E4230, or equivalent, or instructor's permission.
Mathematical description of chemical engineering problems and the application of selected methods for their solution. General modeling principles, including model hierarchies. Linear and nonlinear ordinary differential equations and their systems, including those with variable coefficients. Partial differential equations in Cartesian and curvilinear coordinates for the solution of chemical engineering problems.
An overview of the planning, design, operation, and construction of urban highways and mass transportation systems. Transportation planning and traffic studies; traffic and highway engineering; rapid transit and railroad engineering.
This course explores a variety of ethical and policy issues that arise during the conduct of basic, translational, epidemiological, and clinical biomedical research. The course's philosophy is to facilitate and encourage students to engage with Columbia faculty members who can speak from their own experience on ethical questions that can arise during the conduct of scientific research. Class presenters also include Chairs of Institutional Review Boards, the Director of the Institute of Comparative Medicine, as well as faculty who are directly involved with these issues. The goal of the course is to provide students, post-doctoral scientists and fellows, junior faculty, and other investigators with a knowledge base as well as practical advice on ethical and policy issues. Topics addressed include: research misconduct, as well as policies and procedures for addressing; the mentee-mentor relationship; authorship practices and scientific publications; research involving human participants/subjects; data acquisition, ownership, sharing, management, and reproducibility; the use of laboratory animals in scientific research; conflicts of interest; peer review; intellectual property; the role of scientists in society; and collaborative research and partnerships with industry. Additional topics of special interest include current issues in modern genetics and strategies for a successful research career. Course sessions include lectures, class discussion, and case studies.
Prerequisites:
GREK V1201-V1202
or the equivalent.
Since the content of this course changes each year, it may be repeated for credit.
Prerequisites:
LATN V3012
or the equivalent.
Since the content of this course changes from year to year, it may be repeated for credit.
This introductory course surveys fundamental Microsoft Excel concepts and functionality applicable to SIPA courses and in professional settings. Topics include understanding references and functions, writing formulas, interacting with spreadsheets, building basic models, controlling formatting and presentation and creating basic charts. The course is targeted at students with limited or no prior Excel experience. The course is open to SIPA students only. Note: A laptop is required for the two-day accelerated section of this course
Overview of the field of medicine for informaticians. Medical language and terminology, introduction to pathology and pathophysiology, the process of medical decision making, and an understanding of how information flows in the practice of medicine.
Examines some central Mahayana Buddhist beliefs and practices through an in-depth study of the Lotus Sutra. Schools (Tiantai/Tendai, Nichiren) and cultic practices such as sutra-chanting, meditation, confessional rites, and Guanyin worship based on the scripture. East Asian art and literature inspired by it.
Prerequisites: SIPA U4010 or equivalent experience
This course explores skills needed for more sophisticated spreadsheet development and problem solving in Microsoft Excel. Topics include implementing advanced logic using complex formulas and intermediate calculations, managing complexity with Excel's auditing features, pulling data together using lookup functions and leveraging calculated references. The course does not focus on specific models or applications, but instead explores general concepts and techniques that can be flexibly applied to different solutions in Excel. The course is open to SIPA students only. Instructor approval is required: students will be waitlisted in SSOL and contacted by the instructor. Part of the Excel at SIPA course series. Deadline to drop this course is one week prior to the start date of the course. A notation of "W" will be assigned if requests to drop are not made by this deadline.