Mathematical description of pertinent physical phenomena. Basics of finite-difference methods of discretization, explicit and implicit schemes, grid sizes, stability, and convergence. Solution of algebraic equations, relaxation. Heat conduction. Incompressible fluid flow, stream function-vorticity formulation. Forced and natural convection. Use of primitive variables, turbulence modeling, and coordinate transformations.
Prerequisites: STAT GR6101 Continuation of STAT GR6101.
The class covers basic economics thinking and policy applications derived primarily from labor economics, industrial organization and international economics. It will examine the effects of government policies on firms, labor, and capital markets. It will also focus on issues of corporate and national governance and performance. There will be several guest lectures on these and other topics.
This seminar is PART 2 for second and third year students who are writing their MPhil thesis. It will assume the form of a yearlong seminar during which students design, research, and write up their MPhil projects. These projects can be based on any kind of sociological method, quantitative or qualitative. The thesis will assume the form of an article that can be submitted to a social science journal. The seminar will help you to find an interesting question, a way to answer it, and a mode of communicating this to fellow sociologists in a way that they might find worth paying attention to. The summer break between the two semesters will allow students who don’t come to the first semester with ready-to-analyze data to gather such data (through ethnographic work, archival research, scraping the internet, combining existing survey data, etc.).
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.
Strategic Management of Information and Communication Technologies for the Public Good” addresses the spectrum of policy issues, options, and critical decisions confronting senior managers in the public sphere. Classes will be taught by a combination of lecture, readings, and case. Each class will address policy, technical, and managerial challenges for a particular domain of practice from the introduction or use of established and leading-edge information and communication technologies (ICTs), among them cloud, mobile and social. Arenas may include, for example, health, education, energy, economic development, transportation, civic engagement, law enforcement, human resources, social services, transportation, or compliance and regulatory affairs. The cases will involve a variety of managerial dilemmas and decisions, from governance to transparency, performance management to project management, and be generalizable across multiple domains, arenas, and technologies. Our goal is to expose students to the broadest range of policy challenges, and technologies comprising ICTs in use in the principal domains of practice, giving students a comprehensive exposure to the issues and opportunities as managers encounter them today - and will in the very near future. The course is intended for general, non-technical managers and assumes no engineering capability greater than plugging in a USB stick.
The second of three laboratory courses. This course focuses on the specialty skills in the management of the patient during the pre-operative, intra-operative and the post-operative period. Synthesis of lecture content obtained in Principles & Practice II course. Laboratory experiences provide psychomotor skills and critical thinking inherent to the practice of nurse anesthesia will be developed, demonstrated and assessed. As a component of the course specific skills 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 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.
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
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Prerequisites: (COMS W4111) and working knowledge of Python, or instructor's permission. Continuation of (COMS W4111), covers the latest trends in both database research and industry. Programming projects in Python are required.
A seminar on the theory and practice of translation from the perspective of comparative diaspora studies, drawing on the key scholarship on diaspora that has emerged over the past two decades focusing on the central issue of language in relation to migration, uprooting, and imagined community. Rather than foregrounding a single case study, the syllabus is organized around the proposition that any consideration of diaspora requires a consideration of comparative and overlapping diasporas, and as a consequence a confrontation with multilingualism, creolization and the problem of translation. The final weeks of the course will be devoted to a practicum, in which we will conduct an intensive workshop around the translation projects of the student participants.
Prerequisites: Required course for first year Ph.D. students and second year M.A. students on academic track. Covers foundational topics and developments in many branches of ecology, including population, community, and ecosystems ecology.
This seminar explores the historical entanglement of racial discourse and imperial warfare in the Asia Pacific, focusing on China, Japan, and the U.S. We will examine the dissemination of scientific racism, international legal instruments, fascist mimicry, racial anxiety, imperial rivalry, and national self-determination in the 20th century.
Taught by PBS NewsHour Weekend producer/correspondent Christopher Booker, Multi-Platform Storytelling will teach students some of the tricks, turns and pitfalls of the 21st digital story. With an emphasis on video storytelling, the course will be dedicated largely to technical production of videos and interactive content, but will also be an exploration into some of the current thinking behind editorial video development, production and distribution. Students will use photographs, audio, video and data to tell compelling stories and create comprehensive outreach strategies, but will also be asked to contemplate, as well as justify, the usage, delivery and goal of their work. Students will work with digital cameras, Adobe Premiere, smartphones, Timeline JS and Google Fusion Tables.
This course is required for students in Pediatric Primary Care and the Pediatric Specialty Care programs. The pathogenesis of common conditions affecting children is presented and serves as a basis for clinical management. Relevant pharmacology is presented for each of the disease entities.
The concept of “social impact” has captured the imaginations of many professionals eager to make their mark on the world and give back to society. But what exactly is social impact, and what is its role in today’s public policy and social justice landscape? Many companies, nonprofits, and entrepreneurs are making big bets on how they can “do well by doing good” by leveraging their brands, products, resources, and capital to make the world a better place – all the while paying attention to the bottom line and creating value for donors, shareholders, and businesses. But there are important and consequential considerations about this “win/win” approach, and what role the private sector can and should play in ensuring political, social, and economic equality. The course will take a practical, case-based approach to looking at social impact programs, and we will: Examine business-led models of giving, including corporate social responsibility, cause marketing, social entrepreneurship, and impact investing; Assess how corporate social impact programs and market-based solutions have created innovative interventions to complex social issues; Consider the tradeoffs and unintended consequences that can occur when resource allocations for social impact programs consider business interests; Identify strategies to successfully design and implement social impact initiatives with an individual or business. The case-based analysis in the first part of the course will inform sessions that focus on how to design, implement, and scale effective social impact programs, with specific attention on how to conduct a landscape assessment on a specific issue, identify potential solutions and interventions given available resources, program design and implementation, and impact assessment.
This seven-week elective is taught online. It is open to 2nd year Screen/TV Writers and Directors, will serve as an incubator for story ideas not currently being developed in any full-semester core classes.
This course examines the canonical texts of modern semiology and semiotics from the perspective of anthropological methods and theories. Beginning with an extensive examination of the works of Ferdinand de Saussure and Charles Sanders Peirce, the course examines the theoretical elaborations and movements of structuralism and pragmatism through the 1960s.
Design for Social Innovation is a project-based course where students work in teams to solve real-world problems on behalf of social sector clients including nonprofits, social enterprises, and government agencies. Students work as “intrapreneurs” (entrepreneurs within organizations) on innovation projects on behalf of client organizations, looking at their client’s organizational or programmatic challenges through the lens of design thinking and human-centered design.
After countless videos of police brutality, why did the video of George Floyd’s murder dramatically accelerate the pace of cultural and policy change that had been demanded by Black Lives Matter since 2013? How did the Covid-19 pandemic impact this and other campaigns? After years of governmental and NGO campaigns to reduce teen pregnancy, how was it that a TV show became one of the main drivers of reducing teen pregnancy to the lowest point in recorded history? After losing 31 state referendums, why did a new narrative approach enable the gay marriage campaign start winning nationwide? These examples are part of broader social impact campaigns that combined the right mix of strategy and narrative to create change. A social impact campaign is one that creates a significant, positive change that addresses a pressing social issue. Often, there is too little focus on the power of narrative to change behavior and drive action. This class will explore all aspects of social impact campaigns that harnessed the power of “effective” stories to engage audiences and prompt action. Additionally, we will investigate how corporations and brands develop campaigns and how they partner with the government, foundations and NGOs. Students will have the chance to question some of the leading creators/practitioners as they create their own social impact campaign.
Impact investing is young but fast growing industry. An increasing number of philanthropists, traditional investors and asset managers look into impact investment as a compelling asset class. Entrepreneurs tackling social and environmental issues are finding in impact investors a more reliable and better aligned source of capital to finance their ventures. The industry requires a committed, talented and well-prepared pool of capital to continue evolving and growing. This class aims to provide the students with some of the essential skills and tools they will require to work and thrive in the impact investing industry. This is an experiential course designed to introduce students to impact investing and provide them with the skills used by impact investors every day. Students will work on the key products required in an impact investment transaction including: assessing a possible impact investment; writing an investment memo with a full impact analysis; and presenting an investment proposal to a group of seasoned impact investors. The course will take place over two weekends with the first weekend focusing on an introduction to impact investing and the technical skills needed to vet an impact investing opportunity (What questions do you ask? What does your analysis focus on?). The second weekend will focus on hearing pitches from several possible impact investments / companies, performing due diligence on each one and making a recommendation to invest in one of the companies.
Impact investing is young but fast growing industry. An increasing number of philanthropists, traditional investors and asset managers look into impact investment as a compelling asset class. Entrepreneurs tackling social and environmental issues are finding in impact investors a more reliable and better aligned source of capital to finance their ventures. The industry requires a committed, talented and well-prepared pool of capital to continue evolving and growing. This class aims to provide the students with some of the essential skills and tools they will require to work and thrive in the impact investing industry. This is an experiential course designed to introduce students to impact investing and provide them with the skills used by impact investors every day. Students will work on the key products required in an impact investment transaction including: assessing a possible impact investment; writing an investment memo with a full impact analysis; and presenting an investment proposal to a group of seasoned impact investors. The course will take place over two weekends with the first weekend focusing on an introduction to impact investing and the technical skills needed to vet an impact investing opportunity (What questions do you ask? What does your analysis focus on?). The second weekend will focus on hearing pitches from several possible impact investments / companies, performing due diligence on each one and making a recommendation to invest in one of the companies.
Prerequisites: (CIEN E4129) or equivalent. Introduces and employs various tools, concepts, and analytical frameworks to enhance students’ ability to define and analyze leadership problems. In depth analysis of the leadership literature and practical situational immersion using industry case studies. Term project exploring leadership in the engineering and construction industry, working closely with industry leaders.
Prerequisites: (EAEE E3112) and (CIEN E4241) or instructors permission. A detailed survey of numerical methods used in geomechanics, emphasizing the Finite Element Method (FEM). Review of the behavior of geological materials. Water and heat flow problems. FEM techniques for solving nonlinear problems, and simulating incremental excavation and loading on the surface and underground.