Prerequisites: (MATH UN2030) and (MECE E3100) MATH V2030 and MECE E3100. Eulerian and Lagrangian descriptions of motion. Stress and strain rate tensors, vorticity, integral and differentialequations of mass, momentum, and energy conservation. Potential flow.
Policymaking – the process by which political actors make decisions on a range of policy issues – is strongly influenced by context. The political environment in which policymakers interact plays a central role in shaping agendas, strategies, and policy choices. To be successful, policy professionals must be able to navigate a complicated set of political institutions that can constrain the menu of policy options, engage with multiple actors and stakeholders, and become familiar with dynamically changing technological and media environments. This course will give students important background on the way in which political contexts shape policymaking around the world – with a focus on politics in developing countries. Throughout the semester, we will discuss how issues such as weak state institutions, poverty, political representation and accountability, corruption, and political violence influence policymaking around the globe. While the focus of the course is on the developing world, some of the topics we will cover – such as immigration, identity politics, terrorism and violent extremism – have a growing impact in advanced democracies as well. By the end of the course, students should have an appreciation for the diversity of issues that influence the policymaking in a range of contexts, and a better understanding of various pressing global policy issues. The theoretical concepts and analytical tools covered in this course will draw on research from political science and development economics. There are several reasons for that. First, the policy issues discussed in class have inspired excellent academic research that has produced important findings for us to discuss. Second, by becoming familiar with social science research, students will add an important skill to their toolkit. Finally, and relatedly, this will allow us to discuss exciting developments in the frontiers in data science and public policy, and specifically, the way in which big data is likely to shape policymaking in a range of policy areas in the future. In addition to the material covered in the lectures, students will also attend a weekly recitation section. Recitation sections will help students develop the skills necessary for policy analysis, and in particular, policy memo writing.
Prerequisites: (APPH E4300) Debye screening. Motion of charged particles in space- and time-varying electromagnetic fields. Two-fluid description of plasmas. Linear electrostatic and electromagnetic waves in unmagnetized and magnetized plasmas. The magnetohydrodynamic (MHD) model, including MHD equilibrium, stability, and MHD waves in simple geometries.
Major theories of religion and principal approaches to the study of religion.
First semester of the doctoral program sequence in applied statistics.
Students first meet in person at Columbia Global Centers | Europe in Paris for five days of intensive study. Instructional hours for two core courses (Technology in the Business Environment and Accounting and Finance for Technology) will begin, as well as Seminar 1: Product or Service Realization, Additional activities designed to immerse all participants in a collaborative exploration of technology leadership roles and their importance to organizations complement the coursework. The activities will involve the active participation of faculty, outside industry experts, selected program mentors, and alumni, and will include sessions at company sites and social events
Students first meet in person at Columbia Global Centers | Europe in Paris for five days of intensive study. Instructional hours for two core courses (Technology in the Business Environment and Accounting and Finance for Technology) will begin, as well as Seminar 1: Product or Service Realization, Additional activities designed to immerse all participants in a collaborative exploration of technology leadership roles and their importance to organizations complement the coursework. The activities will involve the active participation of faculty, outside industry experts, selected program mentors, and alumni, and will include sessions at company sites and social events
To design and manage successful economic policy professionals need a sophisticated command of modern microeconomics. This course strengthens and extends understanding of microeconomic theory, and gives practice applying it. We study the relationship between market structure and market performance, exploring conditions under which policy intervention can improve market performance, and when it can be counter-productive. Both distributional and efficiency aspects of intervention are stressed. An introduction to formal strategic analysis is included, along with its application in the modern theory of auctions.
This course is the required discussion section for PUAF U6100.
The first of three laboratory courses. Focus is placed upon essential technology and procedures utilized in the management of the patient during the pre-operative, intra-operative and the post-operative period. The course activities promote a synthesis of lecture content obtained in Principles & Practice I course. Laboratory experiences provide psychomotor skills and critical thinking inherent to the practice of nurse anesthesia will be developed. Specific sills must be safely demonstrated.
Introduction to Historical Musicology: the history of the discipline, major areas of research, source materials, and methodological problems.
Prerequisites: STAT GR6102 or instructor permission. The Deparatments doctoral student consulting practicum. Students undertake pro bono consulting activities for Columbia community researchers under the tutelage of a faculty mentor.
The third of three laboratory courses. The focus of this lab is alternate modalities in the management of the difficult airway. Synthesis of lecture content obtained in Seminar II course. Laboratory experience provides psychomotor skills and critical thinking inherent to advanced airway techniques. As a component of the course specific skills must be safely demonstrated.
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
Lectures cover principal topics in evolutionary biology including genetics, genome organization, population and quantitative genetics, the history of evolutionary theory, systematics, speciation and species concepts, co-evolution, and biogeography.
A two-semester intensive screenwriting workshop with one instructor. The Screenwriting 3 and Screenwriting 4 class sequence allows for the careful and more sustained development of a feature-length script. In the fall semester, students further develop an idea for a screenplay and write the first act (approximately 30 pages). In the spring semester, students finish writing the script and, time permitting, begin a first revision.
The objective of this course is to provide a simple introduction to the (basic) mathematics used in economics. By the end of the course you should be familiar with several basic tools used in economics including calculus for functions of several variables, optimization problems with and without constraints, linear algebra, integrals and an introduction to differential equations.
Government plays an incredibly important role in citizens’ everyday lives. Public action, and by extension, inaction, determines our access to lifesaving medical procedures, safe air, food, and drinking water, quality education for our children, and protection against physical harm from others. Policymaking is the process by which public officials decide when and how to leverage the enormous power of the state – for good or for ill. This class will give students a background in how advanced democracies – countries with well-developed democratic institutions and economies, like countries in Western Europe and the United States – make public policy. This class is divided in two units. In the first unit, we will review major political and economic institutions that structure the policymaking process in advanced democracies. We will see how these institutions generate very different possibilities for policymaking outcomes. For instance, we will consider how rules about elections can powerfully shape the coalitions that can be assembled in support of redistribution and inequality reduction. In the second unit, we will zoom in on the policymaking process within the United States to understand how different actors and policymaking venues work. For instance, we will consider how policy reformers can seek change through arenas like Congress, the courts, or the states, and how these venues present different opportunities and challenges. We will also review the relevance of actors such as the mass public, interest groups, and bureaucrats at each stage in the policymaking process.
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This course is the required discussion section for PUAF U6110.