This course is the first part of a one-year sequence and focuses on microeconomics. The objectives of the course are (i) to provide you with the analytical tools that are needed to understand how economists think and (ii) to help you to develop an open-minded and critical way to think about economic issues. At the end of the course you will be able to understand the concepts that underlie microeconomics models and the jargon that is used in the economic profession. To facilitate your understanding of the concepts that will be discussed in the class, this course will provide you with numerous applications.
Prerequisites: SIPA U6200 or PEPM U6223 or EMPA U6010
Corporate finance is an introductory finance course; it is a core course for students taking the International Finance and Policy (IFP) concentration. The course is designed to cover those areas of business finance which are important for all managers, whether they specialize in finance or not.
Prerequisites: A thorough knowledge of elementary real analysis and some previous knowledge of probability.
Overview of measure and integration theory. Probability spaces and measures, random variables and distribution functions. Independence, Borel-Cantelli lemma, zero-one laws. Expectation, uniform integrability, sums of independent random variables, stopping times, Wald's equations, elementary renewal theorems. Laws of large numbers. Characteristic functions. Central limit problem; Lindeberg-Feller theorem, infinitely divisible and stable distributions. Cramer's theorem, introduction to large deviations. Law of the iterated logarithm, Brownian motion, heat equation.
Prerequisites: STAT GR6302.
This course is intended to follow two semesters of graduate measure theoretic probability theory. The topics to be covered will include the following, but may be slightly changed from year to year depending on the preferences of the professor and also of the students: Advanced stochastic Integration for Semimartingales; Stochastic Differential Equations and Markov Processes; Connections to Partial Differential Equations. An introduction to the General Theory of Mathematical Finance. The Modern Theory of the Discretization of Processes and Statistical Methods for Volatility Estimation within an Ito Process Context.
Cross-disciplinary in inspiration, this seminar engages work in anthropology, art criticism, literary studies, aesthetics, and philosophy to think about the political possibilities of art and the aesthetic dimensions of the political. Focusing most sharply (but not exclusively) on what is variously called socially engaged art, relational art, or participatory art, the seminar will consider recent art practices, performances, texts, and objects across a diverse range of genres and national-cultural locations. Art thinkers studied will include Kant, Benjamin, Adorno, Lyotard, Ranciere, Kitagawa, GarcĂa-Canclini, Groys, Bishop, Bourriard, and beyond.
Prerequisites: the instructor's permission.
The course is primarily intended for graduate level students in economics but is open for enrollment by graduate students in political science as well as those with knowledge of econometrics and microeconomics. Explores several current topics in the theory of political economy as well as its historical evolution, drawing on both economic and political science literature. It will focus primarily on economic decision-making, taking into consideration political processes.
The use of quantitative research techniques, statistics, and computer software in designing public policies and in evaluating, monitoring, and administering governmental programs. Practical applications include research, design measurement, data collection, data processing, and presentation of research findings.
This course is about social science research methods, with a heavy focus on quantitative techniques. Students in this course will learn to formulate research and policy questions amenable to empirical inquiry, and to identify and apply appropriate methods of measurement and analysis to answer these questions. This course begins with the discussion on the formulation of research questions derived from policy and management objectives, followed by the collection and organization of data, and finally the presentation and analysis of facts. This course emphasizes the conceptual understanding of statistics that can be readily applied in the practice of public management and policy. In terms of statistical methods, the course covers descriptive statistics for univariate and bivariate analysis, such as concepts and measures of central tendency, dispersion and contingency tables, and inferential statistical techniques including chi square, difference in means, and simple and multiple regression analysis.
There are more than one million nonprofit organizations in the United States and hundreds of thousands more internationally and the number is growing. The nonprofit sector includes an enormous diversity of organizations, ranging from complex health care systems, to education and arts institutions, to small community-based human service organizations. This course will provide students with a comprehensive understanding of how to conduct the financial management of a nonprofit entity. Through the use of readings, case studies, a class project and lecture, we will study financial statements, financial analysis, and accounting for non-profit organizations and international NGOs. We will examine how the principles of financial management assist the nonprofit and NGO manager in making operating, budgeting, capital, and long-term financial planning decisions. We will also explore contemporary ethical, accountability, and mission issues facing national and international organizations.
Prerequisites: Application Required. To apply for this seminar, please email sm3373@columbia.edu with your degree program, area of interest, and list any previous courses you've taken with Professor Balibar. Be sure to indicate if you want to be registered for a letter grade or as an R-credit.
In the anniversary year of what was called once “The Great October Revolution”, the class will undertake a genealogy and semantic examination of this central category of modern philosophical thought. The general title is borrowed from a collection of essays by Reinhard Koselleck, “Futures Past: on the Semantic of Historical Time”, originally published (in German) in 1979, that includes a seminal essay on the word “revolution” (written in 1968). In the class I will confront the question of typical
narratives
of revolutionary moments in history (and history itself as a succession of such moments), and the question of antithetic
concepts
of revolution as social, political, cultural and technological phenomenon (particularly insisting on the competing schemes of transformation and antagonism). Rather than discussing the issue in a deductive manner, the class will be based on accurate readings of classical or more recent texts, which highlight some of the central themes and recurrent dilemmas. It will prepare for a discussion on the possibility of a “revolution in the imaginary of the revolution”.
This class explores how the political system identifies public issues as problems requiring public action, and creates and implements policy solutions. It assesses what conditions foster change by anticipating likely outcomes and effective points of intervention to achieve policy goals. The course emphasizes the politics of environmental policymaking, using agriculture as a case study because it is a global enterprise with local to global scales of inquiry. We will explore the tension between the market and economic models and politics and political models of policymaking; interests and interest-group politics; the connections among expertise, knowledge, and policymaking; and the particular politics of policy issues that cross jurisdictional boundaries, including federalism and globalization.
Prerequisites: (CSEE W3827) and (ELEN E3801) Recommended: ELEN E4810.
Design of digital VLSI hardware for various digital signal processing and machine-learning algorithms. Data flow graphs, iteration bounds, pipelining, parallel architectures, retiming, unfolding/folding, systolic architectures, bit-level arithmetic, numerical and algorithmic strength reductions, CORDIC, distributed arithmetic, FFT, neural network hardware, vector processors, subwordparallel architecture, and SIMD. May include a team circuit design project.
(Seminar). Literature, we like to say, moves us. We also say that it makes us feel for others, moved on their behalf. This seminar asks what it means to think of literary experience as both feeling for someone (but whom?) and traveling to someplace (but where?). We will trace the history of this connection between motion and emotion back to the Restoration and eighteenth century, an age of remarkable expansion for the British Empire. Though travel and sentiment are often kept separate in studies of this exuberant period, we will find that British writers working across a range of genres—novels, plays, poems, sermons, journals, and philosophical treatises—frequently drew the two together. Their works raise questions about empire and relocation even as they contribute to a new psychological and textual emphasis on the sympathetic heart. Slaves, prisoners, servants, and political or religious outliers test this emphasis, and we’ll discuss how our authors by turns facilitate and foreclose emotional identification with them.
Prerequisites: Grade of B+ or better in APPH E6335 and instructor's permission.
Students spend two to four days per week studying the clinical aspects of radiation therapy physics. Projects on the application of medical physics in cancer therapy within a hospital environment are assigned; each entails one or two weeks of work and requires a laboratory report. Two areas are emphasized: 1. computer-assisted treatment planning (design of typical treatment plans for various treatment sites including prostate, breast, head and neck, lung, brain, esophagus, and cervix) and 2. clinical dosimetry and calibrations (radiation measurements for both photon and electron beams, as well as daily, monthly, and part of annual QA).
Prerequisites: (ELEN E4301) or equivalent.
Physics and properties of semiconductors. Transport and recombination of excess carriers. Schottky, P-N, MOS, and heterojunction diodes. Field effect and bipolar junction transistors. Dielectric and optical properties. Optical devices including semiconductor lamps, lasers, and detectors.
Prerequisites: Grade of B+ or better in APPH E6330 and instructor's permission.
Practical applications of diagnostic radiology for various measurements and equipment assessments. Instruction and supervised practice in radiation safety procedures, image quality assessments, regulatory compliance, radiation dose evaluations and calibration of equipment. Students participate in clinical QC of the following imaging equipment: radiologic units (mobile and fixed), fluoroscopy units (mobile and fixed), angiography units, mammography units, CT scanners, MRI units and ultrasound units. The objective is familiarization in routine operation of test instrumentation and QC measurements utilized in diagnostic medical physics. Students are required to submit QC forms with data on three different types of radiology imaging equipment.
This is a Law School course. For more detailed course information, please go to the
Law School Curriculum Guide
at:
http://www.law.columbia.edu/courses/search
Topics include basic notions of groups with algebraic and geometric examples; symmetry; Lie algebras and groups; representations of finite and compact Lie groups; finite groups and counting principles; maximal tori of a compact Lie group.
Prerequisites: Restricted to International Fellows
This course will explore the international role of the United States by examining its evolution over time the interests and concepts that underlie it, the domestic debates that have shaped it, the historical turning points that periodically re-shaped it, and some of its most notable successes and failures
This course will consider museums as reflectors of social priorities which store important objects and display them in ways that present significant cultural messages. Students visit several New York museums to learn how a museum functions.
Prerequisites: Grade of B+ or better in APPH E6319 and instructor's permission.
Practical applications of nuclear medicine theory and application for processing and analysis of clinical images and radiation safety and quality assurance programs. Topics may include tomography, instrumentation, and functional imaging. Reports.
Despite gains in recent years, gender disparities in leadership roles – particularly in the corporate and government sectors – remain significant. This 7-week course will explore policies within organizations, as well as governmental policies, designed to address gender disparities in leadership roles, examining questions such as: What are the goals such policies are/should be seeking to achieve? What are the best approaches – e.g. gender-focused vs. more broadly crafted policies? Which approaches are/are not working? What are the unintended consequences of policies designed for this purpose? How do we consider debates in popular culture (from Sandberg to Slaughter) in the context of organizational and governmental policymaking and use them to inform policymaking? What are the limitations on what policy can achieve? The course will begin by briefly exploring historical and current gender disparities in leadership roles and the diverse reasons behind them, examining the roles of women, men, culture and policy. We will explore the potential impact policy can have, identifying and recognizing limitations and challenges. Finally, we will focus the bulk of our time on policy approaches tried by governments and organizations (with a focus on corporations, as well as academia and non-profits) to attempt to address leadership gender disparities, exploring the questions above. The course will include accomplished women leaders from multiple sectors as guest speakers, and active student participation, including presentation of case studies, will be required.
This course introduces students to gender mainstreaming, gender analysis and intersectionality as theory and method, as well as the associated set of strategies, tools and skills applicable to international and public policy contexts. Through a combination of empirical research, structural theorizing, social critique, and case studies, students will become acquainted with the global dimensions of feminist organizing and policy-making necessary for working in a variety of specialty policy fields such as education, public health, international finance, sustainable development, peace and security, organizational management and economic development.
This course will address the effects of conflict on livelihoods, how livelihoods can be re-vitalized during population displacement, how promoting economic self-reliance underpins all other humanitarian work, the impact on the protection of women and men, and how these programs are prerequisite for and can be linked with post-conflict recovery and development. The impact of conflict, displacement and livelihoods on gender, gender norms, and gender power relations will be addressed throughout.
Prerequisites: the instructor's permission.
Investigation and analysis of styles and techniques of music since 1900, carried out in part through individual projects. (Prior to Spring 2008, the course was titled 20-Century Styles and Techniques.)
Prerequisites: Grade of B+ or better in APPH E4500 and permission of the instructor, or
Corequisites: APPH E4500
Radiation protection practices and procedures for clinical and biomedical research environments. Includes design, radiation safety surveys of diagnostic and therapeutic machine source facilities, the design and radiation protection protocols for facilities using unsealed sources of radioactivity – nuclear medicine suites and sealed sources – brachytherapy suites. Also includes radiation protection procedures for biomedical research facilities and the administration of programs for compliance to professional health physics standards and federal and state regulatory requirements for the possession and use of radioactive materials and machine sources of ionizing and non ionizing radiations in clinical situations. Individual topics are decided by the student and the collaborating Clinical Radiation Safety Officer.
This course will consider how gender aids us in understanding the root causes of conflict and in crafting long-term solutions to conflict. We will explore gender dimensions of human rights violations that are created and exacerbated by conflict, including torture, rape, and genocide. We will also analyze how armed actors manipulate vulnerabilities created by prevailing gender-based discrimination to achieve strategic ends. We will review critical debates on women’s relations to peace and violence, examining relevant theoretical frameworks. Additionally, we will learn about the work of local and international women’s rights activists and what male allies are doing to address these issues. We will apply theoretical perspectives on gender and conflict to concrete case studies from Syria and Iraq. This class will also explore both the theoretical underpinnings and practical applications of this emerging paradigm for addressing conflict. Students will work in project teams and produce individual research and analysis of the human rights situation for women and other marginalized persons in the context of the ISIS conflict.
This is a Public Health Course. Public Health classes are offered on the Health Services Campus at 168th Street. For more detailed course information, please go to Mailman School of Public Health Courses website at http://www.mailman.hs.columbia.edu/academics/courses
This course will focus on contemporary urban Islamist terrorism, as it is most relevant to New York City. The first part of this course will be more theoretical starting with a historical perspective, methodology on how to approach to problem, the importance of ideology and the evolution of this wave of terrorism, including the role of the Internet. In the second half of the course, several case studies relevant to New York City will be analyzed. Finally, the course will end with a discussion of disengagement from terrorism
This course introduces the study and practice of conflict resolution, offering students a broad conceptual framework for more specific strands of study offered by CICR. It also aims to show how ideas about conflict resolution can cast light on individual conflicts and peace initiatives. The majority of classes focus on thematic issues and debates, but these are interspersed with classes concentrating on individual conflict situations, to allow students to link theory and practice. Students will be tested on both their grasp of the main themes of the course and their application to specific situations.
The World at Night: America's Evolving Military Strategy in an Asymmetrical Age. Drawing from the NASA composite photograph depicting where the world is, and is not, brightly lit at night, the seminar will explore how dynamic demographies, economies, technologies, ideologies, and requirements for natural resources are shaping a minor revolution in military thinking. Students will consider global trends and linkages to better understand the renewed importance of contextual understanding of regional populations, geography, religion and history as they relate directly to accomplishing military objectives in support of national policy.
The objective of this course is to provide the students with the analytical tools used in economics. This course is the first part of a one-year sequence and focuses on microeconomic theory. At the end of the semester you will be able to understand the basic conceptual foundation of microeconomics and how microeconomic analysis can be used to examine public policy issues. The approach of the course is analytical, but you will also be required to discuss concrete applications. Finally one objective of the course is to serve as an introduction for more advanced or specialized economic classes.
This course continues the one-year sequence initiated with U6400 and focuses on macroeconomics. The goal of this course is to provide students with the analytical framework to examine and interpret observed economic events in the global economy. The causal relationships between macroeconomic aggregates is based upon microeconomic principles. The subject matter always refers to concrete situations with a particular focus on the causes and effects of the current global financial crisis. The controversial nature of macroeconomic policies is central.
Manifold theory; differential forms, tensors and curvature; homology and cohomology; Lie groups and Lie algebras; fiber bundles; homotopy theory and defects in quantum field theory; geometry and string theory.
Human rights can provide a framework for shaping development policies. How will the observance of human rights criteria in planning, implementing and evaluating development projects and policies contribute to their effectiveness and sustainability? The class will examine development policy choices and their impact by juxtaposing the interests and points-of-view of the various stakeholders involved in designing and implementing development policies.
Prerequisites: multi-variable differential calculus, linear algebra and basic real analysis.
Introduction to the mathematical techniques needed for the study of economics and econometric methods. Topics include the vector spaces, Hilbert spaces, Banach spaces, linear transformations; optimization theory, and linear differential and difference equations.
This course focuses on social movements and citizenship in sub-Saharan Africa to examine how people form political and social movements and deploy citizenship strategies within social, historical, and economic structures that are both local and global. It draws on readings and lectures from scholars in history, political science, anthropology, sociology, and African studies to explore the following topics and themes: histories and theories of social movements and citizenship; cities and social movements and citizenship; citizenship outside the nation-state; social movements and democracy; citizenship as a creative enterprise that emphasizes claim-making and improvisation; citizenship within imperial, international, and national contexts; infrastructures, claim-making, and coalition building; opposition, leadership and democracy; and social movements of African youth and women. This course features guest lectures by and discussions with French and American scholars from Sciences-Po, Universite Paris 1, NYU, and Columbia, and is part of the Joint African Studies Program (JASP) at the Institute of African Studies that is supported by the Partnership University Fund (PUF) and the French Alliance Program at Columbia. It includes foundational readings on concepts, theories, and histories of social movements and citizenship in Africa as well as in-depth case studies on selective themes by various experts working on sub-Saharan Africa. It is unique insofar as it offers a strong foundation in social movements and citizenship while exposing students to in-depth case studies by leading experts working in a variety of disciplines and geographical contexts. All lectures and discussions are conducted in English.
Consideration of critical themes or major issues in the study of South Asian religions, especially those having major methodological implications. Themes vary from year to year.
Corequisites:
ECON G6410
and the director of graduate studies' permission.
Introduction to probability theory and statistical inference.
Introduction to Ethnomusicology: the history of the discipline and the evolution of theories and methods. G6412, Proseminar in Ethnomusicology II: "Contemporary Ethnography" is offered Fall 2012.