Prerequisites: the instructors permission prior to registration. A survey of selected issues and debates in political theory. Areas of the field discussed include normative political philosophy, history of political thought, and the design of political and social institutions.
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.
Prerequisites: STAT GR6102 Modern Bayesian methods offer an amazing toolbox for solving science and engineering problems. We will go through the book Bayesian Data Analysis and do applied statistical modeling using Stan, using R (or Python or Julia if you prefer) to preprocess the data and postprocess the analysis. We will also discuss the relevant theory and get to open questions in model building, computing, evaluation, and expansion. The course is intended for students who want to do applied statistics and also those who are interested in working on statistics research problems.
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.
The course covers major problems and methods in macroeconomics, with particular focus on issues faced by policymakers in small, open economies. Modern macro is characterized by three fundamental features: economic outcomes are determined in general equilibrium; expectations play a crucial role and all analysis must be based on micro-foundations. Firms depend on consumers, who in turn depend on labor income, profits and rents, which are influenced by government decisions and the environment in which they work. Therefore, in general equilibrium, everything is related to everything, and we must carefully analyze how the economy will respond to those forces that can be considered “exogenous.” At the same time, Current behavior crucially depends on expectations about the future and those beliefs are shaped by the credibility of policies, the reputation of policymakers and the likelihood of potential “shocks.” Finally, economic incentives determine actions and we must make sure that our analysis of decision processes is incentive compatible. Macroeconomic outcomes (unemployment, inflation, growth, income distribution) may or may not be optimal and, if they are not, there usually is room for well-designed policy actions to bring us closer to more socially desirable results. In this class we will develop a basic understanding of models and theoretical foundations, but the relevant analytical framework will be presented in the context of current policy dilemmas. Students are expected to build a technical foundation to allow them a reasonably sophisticated understanding of the existing state of economic policy debates. We will discuss theory and evidence on determinants of growth, economic stabilization, inflation, monetary, fiscal and financial policies. Along the way, we will touch on “hot” policy discussions: the future of capitalism and income distribution; policies to generate growth and the role of government; global economic imbalances, secular stagnation and the long decline in risk free interest rates; economic adjustment in the wake of shocks (technology breakthroughs, pandemics, regulatory fads); should advanced economies worry about the high levels of debt or should they engage in fiscal expansion? How about emerging markets with much more limited access to borrowing? How should monetary policy be conducted to attain desired inflation levels? Why does the financial sector play such a crucial role in a modern economy and why do financial meltdowns create such high costs?
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.
Solving convection-dominated phenomena using finite element method (FEM), including convection-diffusion equation, Navier-Stokes, equation for incompressible viscous flows, and nonlinear fluid-structure interactions (FSI). Foundational concepts of FEM include function spaces, strong and weak forms, Galerkin FEM, isoparametric discretization, stability analysis, and error estimates. Mixed FEM for Stokes flow, incompressibility and inf-sup conditions. Stabilization approaches, including residue-based variational multiscale methods. Arbitrary Lagrangian-Eulerian (ALE) formulation for nonlinear FSI, and selected advanced topics of research interest.
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.
We will learn about and get practice in several aspects of statistical communication, including teaching, writing, collaboration, programming, data display, and visualization of statistical models. After taking this class, you should be able to effectively communicate quantitative information and ideas.
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.
Public policy action, and by extension, policy 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, including state police forces. The recent COVID-19 public health and economic crises, the ongoing crisis of democracy in the US, and mass protests for racial justice have made the high stakes of policymaking—and the failures of policymaking—all the more apparent. Policymaking is the process by which public officials decide when and how to leverage the enormous power and resources 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 those in Western Europe and especially the United States – make public policy. However, the specifics and cases drawn on in the course will be mostly from the USA. This course has two closely related components. The first component involves teaching about the structures and processes involved in policymaking in the United States. For instance, we will discuss how different actors, venues, and institutions shape policy analysis and policy decisions – in Congress, executive agencies, the courts, and the cities and states. We will also discuss the roles of important actors like interest groups, bureaucrats, elected legislators, and the president. Although these discussions are centered on the United States, we will also make comparisons to understand how the United States is similar to and different from its peer countries and how these differences are reflected in policy decisions and outcomes. The second component of the class involves teaching a set of tools relevant to policy analysis and policymaking. These are concrete skills that you can apply throughout your careers in non-profits, government, and the private sector as they are considering how to be effective participants in the policymaking process. A centerpiece of these skills is policy memo writing, in which students will learn to perform concise, evidence-based policy analysis that diagnoses a policy problem, evaluates potential solutions, and conducts a thoughtful analysis of relevant political institutions and actors. The policy tools component of the class will primarily not be part of the lecture every week, but on the weeks where there is a policy component, t
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This course is the required discussion section for PUAF U6110.
The public sector is increasingly unable to cover the development and investment needs that will be required to improve conditions for the over 3 billion people living in poverty worldwide or to achieve the UN’s Sustainable Development Goals. In some cases, governments have also shown themselves to be unwilling to shoulder these burdens alone. As a result, we have seen an increasing role and participation of the private sector in addressing many of the world’s greatest challenges, from climate change, to education, to health. Development practitioners have many of the skills needed to effect these changes. They also have a deep understanding of the underlying social, historical and structural issues that contribute to pervasive inequality, poverty and inefficiency. However, these practitioners often lack the language, tools and methods that are most effective for collaborating with the private sector. As more development practitioners will be called upon to work in the private sector, design public/private partnerships and offer advisory services to the private sector, they will need to be armed with the appropriate tools and language. This course seeks to provide these tools in the context of a broader and deeper debate about the role of the private sector, its responsibilities and tensions as it moves into the development space.