This course is intended to give the student a broad understanding of the components of the health care system and the basic management principles of hospital organization and management. The course will employ a variety of learning formats for students including lectures by the instructors, guest lecturers with special expertise, case studies and student presentations. Emphasis will be on the historical trends of health care statistics and operating data of health care institutions; the history of hospitals and health care systems; their organization and finances; regulatory controls; management strategies; accreditation and professional standards; government; private insurance; administrative leadership and professional interactions, emergency services, healthcare trends and marketing.
In this course, students will continue an exploration of their Idiolects in relationship to both extemporaneous and heightened texts through class and small group work that focuses on audibility, clarity, resonance, vocal dynamics by way of imaginative activation, articulation and ownership. The objective of this course is for students to activate their speech in such a way that it ignites and expands both their imaginations and their capacity to communicate language with honesty. They will experience a full and balanced sound that is neither pushed nor half-baked, neither rushed nor indulgent, and fill space onstage and in the world with their voice and their presence. Students will also hone their skills of self-observation, offer useful feedback and take ownership of and interpret a variety of texts to be expressed on vibration.
Covers biomaterials that are instructive or have been designed or engineered to be instructive; structure-function-property relationships in natural and synthetic biomaterials. Advances in understanding of material properties emphasized; including electroactivity, chemical, mechanical, geometry/architecture, and the modification of material surfaces and context of their effect on biological function. Evolving field of smart biomaterials discussed. Exercises/demonstrations using materials characterization equipment conducted.
The current market places increasing demands on healthcare managers so it is essential that individuals possess basic skills related to financial management and financial reporting. Current events make these demands more dynamic than ever. This course is intended for students who are interested in expanding their knowledge of healthcare financial issues and/or pursuing careers that involve financial management in the healthcare sector. The focus will be on non-profit healthcare delivery organizations.
                                
                                Theory of Markov Decision Processes (MDP) and Dynamic Programming. Design and convergence properties of Reinforcement Learning (RL) algorithms including Q-learning and Policy iteration methods.  Function approximation and deep RL algorithms: DQN, policy gradient, actor-critic methods. Exporation-Exploitation and regret bounds in RL. Multi-agent RL. RL with Human Feedback (RLHF). RL and Monte Carlo Tree Search (MCTS) for Agentic Systems.
  
Note: Only one of ORCS E4529 or 6529 may be taken for credit.
                                
                            
This course examines the global reliance on Russian energy exports in the aftermath of the 2022 invasion of Ukraine and the realignment of geopolitical and energy markets. Students will assess whether Russia can operate without Western customers and whether the West can isolate Russia while securing its own energy needs. The course explores disrupted energy ties between Russia and Europe, shifting alliances with China, India, the Middle East, and the Arctic, and how sanctions have reshaped oil and gas flows worldwide. Through regional case studies and up-to-date policy analysis, students will investigate Russia's role in OPEC+, the Black and Caspian Seas, and the future of European energy diversification, including hydrogen initiatives.
                                
                                Analytics and Managerial Decision-Making I is the first of two required quantitative methods courses taken in sequence by all MHA students.  These courses are foundational to the MHA curriculum.  The two courses are fully integrated with respect to materials, exercises and cases, and by a two-term, team-based application project. 
Managers are continually confronted with the need to make significant decisions concerning the organizational and financial performance of a health organization, based on a combination of strategic intention, practical experience, and interpretation and application of complex data and information.  Data analysis is one tool that supports such decision-making.  This course is designed to provide management students with the tools to generate and present data-driven and model-based management recommendations that are meaningful and implementable. 
The course focuses on learning basic tools for the collection, analysis, and presentation of data in support of managerial/executive decision-making. Topics will include introductory data and statistical exploration from basic descriptive statistics to population and market estimation, comparison testing and decision-making, sampling design and analysis, and predicting/forecasting using linear regression. Using Excel as an additional tool, the course develops analytical skills to prepare managers to make and to present informed decisions in the overall healthcare sector.
                                
                            
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
This course explores the development of relations between Russia and the United States from the end of the Cold War to the present day. It also reveals a broader trend: in the early 1990s, it seemed that Western liberal values were triumphant worldwide. However, as Russia failed to transition into a democratic state, anti-Americanism and revanchism began to flourish. After becoming president, Vladimir Putin exploited these sentiments, ultimately making anti-Americanism a central aspect of his international political agenda. Russian propaganda has not only influenced the Russian population but also seeks to spread these ideas and conspiracy theories beyond Russia’s borders. As an inherently unstable political system, Russia aims to destabilize the West. The course concludes with an analysis of present-day dynamics.
This course tracks the trajectories of politics in the Caucasus, focusing on the political development of the independent states of the South Caucasus: Armenia, Azerbaijan, and Georgia. While the emphasis is on contemporary dynamics, the course considers how Imperial Russian expansion and Soviet structures interact with current mechanisms of interest articulation and power. Topics include post-Soviet conflicts, regime types, institutions, political economy, and foreign policy. Students will examine each country individually and comparatively
                                
                                Holistic understanding of the science and socioeconomic modelling of climate change, the properties of renewable energy sources, their economic and engineering
 implications, and the policy decisions in the transition to future energy. Fundamentals of systems needed to support deep penetration of renewable energy, including grid stability, transmission and storage systems, and the design and operations of carbonaware datacenters.
                                
                            
This course is designed to present major theoretical systems of psychotherapy, with a special emphasis on how clients in therapy change and how to conceptualize clients' presenting concerns from theoretical points of view. Issues related to application of theory in practice, especially those related to individual/cultural diversity will be addressed and emphasized.
Advanced Linear Algebra, Complex Variable Theory, Integral Transforms, Measure Theory and Probability Theory, Advanced Information Theory, Differential and Difference Equations, Calculus of Variations, Nonlinear Optimization, State-Space Modeling, Advanced Signal Processing and Recognition: non-Stationary Signal Recognition, Spectral and Cepstral Analysis, Supervised and Unsupervised Clustering, Decision Theory, Math of modern NN architectures.
Prerequisites: permission of the departmental adviser to Graduate Studies.
                                
                                MIA and MPA Policy Skills I Core. 
This course provides students with practical skills to communicate clearly and persuasively on issues they care about. Whether writing to influence policy, shape public opinion, or present ideas within an organization, the ability to craft sharp, purposeful messages is essential. Students will learn to distill their key arguments, adapt their writing for different audiences, and develop strong foundational pieces such as op-eds, press releases, and policy memos. The course also introduces generative AI tools as part of the writing process—teaching students how to use AI to brainstorm, draft, and revise more efficiently, while critically assessing its outputs. As AI transforms how we write and communicate, this course equips students to harness its benefits while maintaining their own voice, judgment, and clarity of thought.
                                
                            
                                
                                MIA and MPA Policy Skills I Core. 
This course provides students with practical skills to communicate clearly and persuasively on issues they care about. Whether writing to influence policy, shape public opinion, or present ideas within an organization, the ability to craft sharp, purposeful messages is essential. Students will learn to distill their key arguments, adapt their writing for different audiences, and develop strong foundational pieces such as op-eds, press releases, and policy memos. The course also introduces generative AI tools as part of the writing process—teaching students how to use AI to brainstorm, draft, and revise more efficiently, while critically assessing its outputs. As AI transforms how we write and communicate, this course equips students to harness its benefits while maintaining their own voice, judgment, and clarity of thought.
                                
                            
Prerequisites: the instructors permission. In this year-long sequence students gain familiarity with the materials used in electroacoustic music and the techniques and equipment that are employed to transform and organize these materials into compositions. Individual projects are assigned.
This course surveys the historical relationships between anthropological thought and its generic inscription in the form of ethnography. Readings of key ethnographic texts will be used to chart the evolving paradigms and problematics through which the disciplines practitioners have conceptualized their objects and the discipline itself. The course focuses on several key questions, including: the modernity of anthropology and the value of primitivism; the relationship between history and eventfulness in the representation of social order, and related to this, the question of anti-sociality (in crime, witchcraft, warfare, and other kinds of violence); the idea of a cultural world view; voice, language, and translation; and the relationship between the form and content of a text. Assignments include weekly readings and reviews of texts, and a substantial piece of ethnographic writing. Limited to PhD students in Anthropology only.
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                                MIA Policy Skills II Core. 
Making good policy is a science, an art, and a craft. This course introduces students to the key principles of public policy design from global perspectives. Students will engage with a policymaker’s toolbox, examining best practices in evidence-based and participatory policymaking, policy innovation, and policy design. In addition to exploring the conceptual foundations of policymaking, the course equips students with practical tools they can apply throughout careers in government, think tanks, international organizations, civil society, and the private sector. A central focus of the course is policy memo writing. Students will learn how to conduct concise, evidence-based policy analysis and design meaningful policy solutions. Additional tools covered include: The design and use of indicators and public opinion polls; Stakeholder mapping; Public participation plans; Theories of change; Intersectional policy analysis.
  
By the end of the course, students will have a deeper understanding of how public policy is made and implemented across diverse contexts, along with enhanced skills for designing effective public policies and programs.
                                
                            
An introduction to combinatorial optimization, network flows and discrete algorithms. Shortest path problems, maximum flow problems. Matching problems, bipartite and cardinality nonbipartite. Introduction to discrete algorithms and complexity theory: NP-completeness and approximation algorithms.
 
This is the first clinical experience with pediatric patients for the PNP student. The student will be responsible for developing objectives and sharing them with the preceptor. The skills needed to obtain a good history and physical will be honed and further developed. When possible, the student will proactively seek opportunities to practice clinical skills of vision screening, hearing screening and venous access. The student will develop their skills in developmental and mental health screening.
Convex sets and functions, and operations preserving convexity. Convex optimization problems. Convex duality. Applications of convex optimization problems ranging from signal processing and information theory to revenue management. Convex optimization in Banach spaces. Algorithms for solving constrained convex optimization problems.
Robots using machine learning to achieve high performance in unscripted situations. Dimensionality reduction, classification, and regression problems in robotics. Deep Learning: Convolutional Neural Networks for robot vision, Recurrent Neural Networks, and sensorimotor robot control using neural networks. Model Predictive Control using learned dynamics models for legged robots and manipulators. Reinforcement Learning in robotics: model-based and model-free methods, deep reinforcement learning, sensorimotor control using reinforcement learning.
Pediatric Primary Care Nursing I is designed to prepare the student to provide primary care to infants, toddlers, and preschoolers so that children may meet their optimal physical, intellectual, and emotional growth and development. The content focuses on health promotion, illness prevention, and the treatment of episodic problems from infancy through preschool.
                                
                                MIA Policy Skills II Core. 
This introductory course equips students with the fundamentals of persuasive speechwriting and public speaking for political, business, and nonprofit contexts. Students will explore the classical canons of rhetoric and apply them to contemporary speechwriting, developing both the art and science of persuasion.
  
Following an initial session on theory, the course focuses on building practical skills through writing, editing, and delivering original speeches. Topics include voice and message alignment, tailoring speeches to audiences and occasions, persuasive delivery techniques, and ethical considerations in shaping public discourse.
                                
                            
                                
                                MIA Policy Skills II Core. 
This introductory course equips students with the fundamentals of persuasive speechwriting and public speaking for political, business, and nonprofit contexts. Students will explore the classical canons of rhetoric and apply them to contemporary speechwriting, developing both the art and science of persuasion.
  
Following an initial session on theory, the course focuses on building practical skills through writing, editing, and delivering original speeches. Topics include voice and message alignment, tailoring speeches to audiences and occasions, persuasive delivery techniques, and ethical considerations in shaping public discourse.
                                
                            
                                
                                MIA Policy Skills II Core. 
This course builds on the writing and presentation skills developed in the first part of the SIPA Skills Course by exploring how these skills may be deployed in the broader context of organizational communications, with a focus on policy advocacy.
 
 It will introduce students to a set of key communications tools that can drive effective policy advocacy by turning well-crafted, focused messages into impact. It will focus on the practical tactics that form part of an effective strategic communications plan, from handling one-to-one broadcast interviews to utilizing advocacy reports and publications targeting policymakers, to organizing events, media stunts, and leveraging celebrity spokespeople.
  
Students will produce and workshop their own video interviews, and conclude the course by developing a communications campaign plan, both in support of the policy memo/issue developed at the end of Policy Skills Part One. The objective is to introduce students to the scope of Comms work, both to develop their own skills and their understanding of how a Comms department approaches its mission.
                                
                            
                                
                                MIA Policy Skills II Core. 
This course provides students with a foundation in the principles and practices of video journalism and multimedia narrative. Against a backdrop of rapidly evolving platforms, technologies, and generative AI tools, students will learn how to create compelling, credible video content that cuts through the noise of the contemporary media landscape. Led by experienced journalists from PBS NewsHour and the Thomson Reuters Foundation, the class offers a blend of hands-on technical training, theoretical exploration of media production, and critical reflection on the social, ethical, and narrative dimensions of visual communication. Students will produce, film, write, and edit a portfolio of original video stories, using smartphones, digital cameras, and Adobe Premiere. Coursework includes individual and collaborative assignments, culminating in a final video essay project and pitch. In addition to developing technical skills, students will gain experience in story development, audience engagement, and content distribution.
                                
                            
                                
                                MIA Policy Skills II Core. 
This course equips students with the journalistic tools necessary to communicate policy ideas to broad public audiences. Through a combination of seminar discussions and workshop-based learning, students develop fluency in multiple forms of opinion writing, including op-eds, essays, blogs, and newsletters. Weekly writing assignments guide students in translating specialized policy expertise into persuasive, accessible prose suitable for publication in student and professional media outlets.
  
Participants will learn to craft compelling narratives that bridge the gap between expert analysis and public discourse, while cultivating editorial skills through constructive peer feedback. The course emphasizes revision as a core element of the writing process and encourages students to experiment with different genres and styles.
                                
                            
The course aims to analyze dynamic, multivariate interactions in evolutionary and non-stationary processes. The course first considers stationary univariate time-series processes and then extend the analysis to non-stationary processes and multivariate processes. The course covers a review of linear dynamic time-series models and focus on the concept of cointegration, as many applications lend themselves to dynamic systems of equilibrium-correction relations. In the final analysis, the course is aimed at presenting a certain number of econometric techniques the mastery of which is becoming increasingly inevitable in professional circles.
This course aims to provide students with further instruction on how (1) to motivate detailed empirical analysis on a research question of their choice, (2) to justify and to design appropriate econometric tests using relevant time-series, cross-sectional, or panel data, etc., and (3) to draw accurate inferences—as well as direct policy implications—from their results for a wide audience. To meet this objective, the key course requirement is to write an empirical policy paper that details (1)–(3) in no more than 5000 words total (including exhibits, references, etc.), geared not for academics but for economic policymakers or other practitioners. Also, students will be required to report their findings to their instructor, advisors, and fellow students during 10- to 15-minute slide presentations toward the end of the semester.
                                
                                MIA and MPA Policy Skills II Core. 
This 7-week mini course exposes the students to the application and use of Python for data analytics in public policy setting. The course teaches introductory technical programming skills that allow students to learn Python and apply code on pertinent public policy data. The majority of the class content will utilize the New York City 311 Service Requests dataset. It’s a rich dataset that can be explored from many angles relevant to real-world public policy and program management responsibilities.
                                
                            
                                
                                MIA and MPA Policy Skills II Core. 
This 7-week mini course exposes the students to the application and use of Python for data analytics in public policy setting. The course teaches introductory technical programming skills that allow students to learn Python and apply code on pertinent public policy data. The majority of the class content will utilize the New York City 311 Service Requests dataset. It’s a rich dataset that can be explored from many angles relevant to real-world public policy and program management responsibilities.
                                
                            
                                
                                MIA and MPA Policy Skills II Core. 
This course provides a practical introduction to the core concepts, techniques, and tools used to analyze data for effective decision-making. Designed for students with little to no background in statistics, mathematics, or statistical software, the course emphasizes intuitive understanding and hands-on learning. Through interactive exercises and real-world datasets, students will explore both qualitative and quantitative methods for extracting insights, identifying patterns, and building evidence-based recommendations. The course focuses on developing analytical reasoning and applied skills that can be used across a range of policy and professional contexts.
                                
                            
                                
                                MIA and MPA Policy Skills II Core. 
This advanced course provides a comprehensive introduction to the principles and practices of effective database design, management, and security. Students will gain a strong foundation in information organization, data storage, and database administration, with attention to key topics such as data warehousing, governance, security, privacy, and alternative database models.
  
The course emphasizes the relational database model and includes practical instruction in Structured Query Language (SQL), data modeling, and integrity constraints. Students will learn to design, build, and manage databases while addressing contemporary issues in security and privacy. Prior experience with basic programming and data structures is recommended.
                                
                            
How are bodies in the world? How is the world in bodies? Building from these deceptively simple questions, ours will be an interdisciplinary reading seminar on how bodies (mostly human, but sometimes nonhuman) are made and remade in and through their environments and via their relationships to the material world. Privileging porosity as a rubric, we consider the ever-permeable boundaries between bodies and the other beings (be they viral, chemical, microbial or otherwise) with which they become entangled. Alongside the monographs under study, we will tackle article-length engagements with theories of new feminist/queer materialisms, decolonial and critical science studies. Further, a key aim of this course is to provide students the opportunity to hone some of the most important skills we have in our toolbox as academics, relative to our teaching, our public voice/s as critics, and to our own research.
                                
                                MIA and MPA Policy Skills II Core. Pre-req: Quant I (SIPA IA6500).
 Research is an important part of the policy process: it can inform the development of programs and policies so they are responsive to community needs, reveal the impacts of these programs and policies, and help us better understand populations or social phenomena. This half-semester course serves as an introduction to how to ethically collect data for smaller research projects, with an in-depth look at focus groups and surveys as data collection tools. We will also learn about issues related to measurement and sampling. Students will create their own focus group protocol and short survey instrument designed to answer a research question of interest to them.
                                
                            
This seminar offers an in-depth, interdisciplinary examination of North Korea’s political system, society, foreign policy, and security strategy. Students will critically assess how outside powers influenced Korea’s division, the internal dynamics that shaped the Kim regime’s rise, and how state institutions continue to evolve. Drawing from political science, history, firsthand accounts, and policy documents, the course equips students to challenge common misperceptions and engage analytically with key questions surrounding North Korea’s economy, propaganda, human rights, gender dynamics, and nuclear posture.
                                
                                MIA and MPA Policy Skills II Core. 
This 7-week mini-course leads the students into the R world, helps them master the basics, and establishes a platform for future self-study. The course offers students basic programming knowledge and effective data analysis skills in R in the context of public policy-making and policy evaluation. Students will learn how to install R and RStudio, understand and use R data objects, and become familiar with base R and several statistical and graphing packages. The course will also emphasize use cases for R in public policy domains, focusing on cleaning, exploring, and analyzing data.
                                
                            
Local and global fields, group cohomology, local class field theory, global class field theory and applications.
                                
                                MIA and MPA Policy Skills II Core. 
This course introduces students to the principles and practices of data visualization as a powerful tool for interpreting and communicating complex information. As large datasets become increasingly available across sectors, the ability to transform raw data into clear, compelling visuals is essential for insight and decision-making.
  
Students will learn to select appropriate visualization types, apply design techniques that balance form and function, and tell analytic stories with clarity and impact. Through hands-on assignments and guided case studies, the course builds practical skills in visualizing data to uncover patterns, reveal trends, and engage diverse audiences.
                                
                            
                                
                                MIA and MPA Policy Skills II Core. Pre-req: Computing in Context (DSPC IA6000). 
This course introduces students to the fundamentals of Artificial Intelligence (AI), its applications in public policy, and its implications for the future of governance. Students will gain a foundational understanding of AI, including the mathematical and programming principles behind common machine learning algorithms used for prediction, classification, and clustering. The course explores the practical applications of AI across various sectors, including business, non-profits, and government, highlighting its transformative potential. In the final segment, students will apply their knowledge to design AI solutions for public policy challenges. Through a "Concept to Implementation" process, student groups will identify problems, navigate data and algorithmic considerations, and propose actionable AI-driven solutions.
                                
                            
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                                MIA and MPA Policy Skills II Core. Pre-reqs: Working Python knowledge OR Python for Public Policy (SIPA IA6650) OR Intro to Text Analysis in Python (SIPA IA6655). 
In the past two years, Large Language Models (LLMs) built using transformer frameworks have emerged as the fastest-growing area of research and investment in AI/machine learning. Recent releases of chatbots such as ChatGPT (OpenAI), Bing (Microsoft), and Bard (Google) quickly reached hundreds of millions of users and have become the face of artificial intelligence for consumers. There has also been an explosion in the number of applications that depend on LLMs for a variety of more specialized tasks. Recent models have shown impressive performance on both canonical machine learning tasks and for everyday use, yet are in many ways poorly understood and, in some cases, exhibit unexpected and potentially harmful behavior. 
  
Policymakers, analysts, and non-profit and industry leaders need an understanding of these models to take advantage of the opportunities they present and to mitigate potential harms. This course provides an overview of Large Language Models and gives students hands-on experience with various ways of interacting with LLMs. Students will learn to interpret model evaluation metrics, and we will discuss safety and ethics in applied contexts.
                                
                            
                                
                                MIA and MPA Policy Skills II Core. Pre-req: Quant I (SIPA IA6500)
. Data is not neutral. How it is collected, categorized, and analyzed is shaped by historical, political, economic, and social forces, often reinforcing existing injustices. While policy professionals are trained in quantitative methods, there is comparatively less focus on interrogating how data itself is produced, how existing frameworks exclude certain populations, and how data can be used to either reinforce or challenge inequities.
  
This course introduces students to inclusive and decolonial approaches to working with data for policy research and advocacy, emphasizing critical engagement with its lifecycle—from collection to analysis to dissemination. Students will examine how statistical tools, methods, and available data can be utilized to either reinforce or dismantle barriers to opportunity and address structural injustices. Through weekly discussions, hands-on coding exercises, and a research or advocacy project sketch, students will examine a range of data sources and methodologies while developing strategies for ethical, community-centered data practices.
                                
                            
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Selected advanced topics in data-driven analysis and computation. Content varies from year to year, and different topics rotate through the course numbers 6690 to 6699.
Prerequisites: One year each of Chemistry, Physics, Calculus and Earth Sciences Overview This course explores the origin of magmas and their subsequent movements; their ascent, stalling and eruption; their transport of heat and mass through the earth; their formation of crust and creation of volcanoes. The course will explore magmatism itself - its chemical and physical underpinnings - and also develop magmatic tools used to understand other earth processes. Topics will be focused around Grand Questions. Example questions include: What do magmas tell us about the thermal structure of the earth? Why do magmas store and stall where they do? What drives the largest eruptions on Earth? Does continental extension drive melting or melting drive extension? Questions will evolve to reflect the state of the field and student interest. The course is designed to serve as an accessible breadth course for Earth Science graduate students in any discipline.
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Applications of spoken language processing, including text-to-speech and dialogue systems. Analysis of speech and text, including entrainment, empathy, personality, emotion, humor, sarcasm, deception, trust, radicalization, and charisma.
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This course examines the rise and demise of the Chinese Revolution from the unique angles provided by avant-garde writers, artists, designers, graphic novelists, filmmakers, playwrights, and theatre directors in modern China.
Continuation of IEOR E6711, covering further topics in stochastic modeling in the context of queueing, reliability, manufacturing, insurance risk, financial engineering, and other engineering applications. Topics from among generalized semi-Markov processes; processes with a non-discrete state space; point processes; stochastic comparisons; martingales; introduction to stochastic calculus.
 
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