Please refer to Institute for African American and African Diaspora Studies Department for section-by-section course descriptions.
Please refer to Institute for African American and African Diaspora Studies Department for section-by-section course descriptions.
Please refer to Institute for African American and African Diaspora Studies Department for section-by-section course descriptions.
RNA has recently taken center stage with the discovery that RNA molecules sculpt the landscape and information contained within our genomes. Furthermore, some ancient RNA molecules combine the roles of both genotype and phenotype into a single molecule. These multi-tasking RNAs offering a possible solution to the paradox of which came first: DNA or proteins. This seminar explores the link between modern RNA, metabolism, and insights into a prebiotic RNA world that existed some 3.8 billion years ago. Topics include the origin of life, replication, and the origin of the genetic code; conventional, new, and bizarre forms of RNA processing; structure, function and evolution of key RNA molecules, including the ribosome, and RNA therapeutics including vaccines. The format will be weekly seminar discussions with presentations. Readings will be taken from the primary literature, emphasizing seminal and recent literature. Requirements will be student presentations, class participation, and a final paper.
Prerequisites: (MATH GU4051 or MATH GU4061) and MATH UN2010 Concept of a differentiable manifold. Tangent spaces and vector fields. The inverse function theorem. Transversality and Sards theorem. Intersection theory. Orientations. Poincare-Hopf theorem. Differential forms and Stokes theorem.
“Quand on refuse, on dit non”, said Ivorian novelist Ahmadou Kourouma towards the end of his life. Taking this stance as a starting point, this seminar will explore, through the lens of the novel, major political upheavals in the Francophone world during the 1950s, 60s and 70s. We will shed light on the history of decolonization, May 68, the feminist movement, and struggles against racism and injustice by delving into the imaginary worlds of six leading francophone novelists: Marguerite Duras, Ahmadou Kourouma, Assia Djebar, Hélène Cixous, George Perec and Édouard Glissant.
In this course, the concept of religion stands at the heart of our exploration, as it shaped and was shaped by the medieval world. We will critically engage with definitions and interpretations of religion, both as a subject of scholarly debate in the study of religions and as a pivotal force in medieval history. The course will examine how Christianity, Judaism, and Islam were not only systems of belief but also comprehensive frameworks that structured medieval society, politics, and intellectual life. Through an analysis of religious texts, practices, and institutions, we will explore how religion was lived and understood in the Middle Ages, while also addressing broader theoretical debates in the history of religion. This approach invites us to reflect on the historical construction of "religion" as a category and its relevance in shaping our understanding of the medieval world.
In this course, the concept of religion stands at the heart of our exploration, as it shaped and was shaped by the medieval world. We will critically engage with definitions and interpretations of religion, both as a subject of scholarly debate in the study of religions and as a pivotal force in medieval history. The course will examine how Christianity, Judaism, and Islam were not only systems of belief but also comprehensive frameworks that structured medieval society, politics, and intellectual life. Through an analysis of religious texts, practices, and institutions, we will explore how religion was lived and understood in the Middle Ages, while also addressing broader theoretical debates in the history of religion. This approach invites us to reflect on the historical construction of "religion" as a category and its relevance in shaping our understanding of the medieval world.
An introduction to how the Earth and planets work. The focus is on physical processes that control plate tectonics and the evolution of planetary interiors and surfaces; analytical descriptions of these processes; weekly physical model demonstrations.
This course looks closely at objects and images produced by Native North Americans across history. Grounding our study in essays and guest lectures from Native scholars, we will investigate the significance of the works and how and to whom meaning is communicated. Beginning with an introduction that links aesthetics and worldview using the conventional organizing principle of the culture area, we quickly move on to case studies that take up key issues that persist for Native people living under settler colonialism today, including questions of sovereignty, self-expression, transformation and representation. Along the way, we will also tackle historiographic questions about how knowledge about Native art has been produced in universities and museums and how Indigenous people have worked to counter those discourses.
The science and engineering of creating materials, functional structures and devices on the nanometer scale. Carbon nanotubes, nanocrystals, quantum dots, size dependent properties, self-assembly, nanostructured materials. Devices and applications, nanofabrication. Molecular engineering, bionanotechnology. Imaging and manipulating at the atomic scale. Nanotechnology in society and industry. Offered in alternate years.
The course offers an advanced introduction to key thinkers in Early Greek Philosophy, including Thales, Xenophanes, Parmenides, Melissus, Heraclitus, Anaxagoras, the atomists Leucippus and Democritus, and Protagoras. Early Greek philosophers asked questions about appearances and reality, nature, the human capacity to gain knowledge, perception, disagreement, and the different ways of life that people consider “natural.” They formulate arguments of perennial interest on what should be considered fundamental, whether motion can only be explained if there is void, the nature of knowledge, and whether relativism is compelling. The class is inspired by recent research that addresses this period and novel questions that have emerged.
Prerequisite: open to public. Presentations by medical informatics faculty and invited international speakers in medical informatics, computer science, nursing informatics, library science, and related fields.
Provides an opportunity for students to engage in independent study in an area of interest. A mentor is assigned.
This course focuses on the long history of slavery and the many meanings of freedom in Latin America. We will trace the institution’s origins in the sixteenth century through its eventual abolition in the 19th, from Spanish Florida to South America and numerous places in between. In the process, we will compare how enslaved people across the region understood, challenged, and survived their condition, in rural agricultural settings, urban centers, and private households. We will also examine the role of gender, sexuality, religious practice, and legal systems in shaping the lived experiences of enslaved people as well as the kinds of opportunities they were able to carve out for themselves and their loved ones.
Course readings will draw from primary sources and historical scholarship related to a range of relevant topics, as well as a vast visual and artistic corpus including watercolors, portraits, films, television programs, and modern advertising campaigns.
This course is intended for both advanced undergraduates and graduate students. Graduate students will occasionally consult additional readings or materials each week and submit an 18- to 20-page paper at the end of the term.
This seminar turns a lens on partitions, borders, and camps. Whereas these iconic forms have been studied most often through legal, policy, or social science lenses, we will consider them conceptually, aesthetically, and historically as complex practices of architectural formmaking in the long twentieth century. The partition, the border, and the camp can each be understood as a legal and territorial concept, a symbolic and aesthetic marker of violent land demarcation, a material environment, and an intersection of spatial practices. Through careful readings and discussion, we will look closely at each as an illumination of irreducible entanglements between politics and aesthetics, and sensible expressions of colonial practices that persist in the built environment.
In this course, students examine histories of partitions from Ireland to Somalia to Pakistan, and their reification as borders. Understanding partition as a
concept
and a
process
rather than a determinate end, the course examines histories of built environments that create the illusion of determinacy by reinforcing territorial markers: whether through large intentional projects, for example, the construction of a new state capital at Chandigarh in India, or unstated means, for example, the responsive humanitarian or detention architectures of camps at borders in Palestine and East Africa. The course will examine the robust discourse on the materialities of borders, thinking beyond the construction of walls to sometimes obscured forms of spatial anchoring across divides, for example, mediatic traversals, animal crossings, or the work of crowds. The course examines histories of camps, from the concentration technologies used during the Spanish American War in Cuba and the Boer War in South Africa in the nineteenth century to twenty-first century ephemeral environments enabling people to crystallize forms of dissidence, whether at Wall street in New York or Shaheen Bagh in Delhi. We analyze processes by which the refugee camp enclosure racializes, genders, sexualizes, and controls bodies, precipitating a self-partitioning by asylum seekers in the performance of vulnerability. Although the constructed environments of camps serve as repositories of power, regardless of their purpose (and regardless of their orientation toward control or care—for example, whether made to confine migrants or to shelter refugees), they are iconic for their impermanence, and it is precisely their partial persistence that establishes them as ep
Basic concepts of seismology. Earthquake characteristics, magnitude, response spectrum, dynamic response of structures to ground motion. Base isolation and earthquake-resistant design. Wind loads and aeroelastic instabilities. Extreme winds. Wind effects on structures and gust factors.
This course provides a survey of Greek literature. It aims to improve students’ reading skills, familiarize them with some of the most canonical works of Greek literature, afford them a sense of Greek literary history, and introduce them to modern methodological approaches. Readings are drawn from the Classics Ph.D. reading list.
This course provides a survey of Latin literature. It aims to improve students’ reading skills, familiarize them with some of the most canonical works of Latin literature, afford them a sense of Latin literary history, and introduce them to modern methodological approaches. Readings are drawn from the Classics Ph.D. reading list.
People are living 30 years longer than we did 100 years ago. We have created a whole new stage of life. How do we prepare to benefit from our longer lives? What can you do in your own life? This course explores the personal, population, community, and societal dimensions of our now-longer lives, of aging itself, and the role of health and societal design in the experience of aging. The course examines the meaning of aging and the attendant expectations, myths, fears, and realities. The course examines an aging society as a public health success, the potential for building health futures, the health plan you want to be healthy in old age, and the potential for longer lives and how we unlock it. It addresses the roles public health currently plays and can play in shaping a society for an aging population. The course explores how a public health system—indeed, a society—optimized for an aging population stands to benefit all. The course also examines the physical, cognitive, and psychological aspects of aging, the exposures across our lives that affect these, the attributes and challenges of aging, keys to successful aging, and aging around the globe. The culminating project will design elements of our society that are needed to support the opportunity of having longer lives. This course comprises lectures, class discussions, individual assignments, in-class case activities, and a group project in which students shall take an active role. You will be responsible for regular preparatory assignments, writing assignments, one group project, and attending course sessions. Please note: GSAS students must receive permission from their department before registering for this course.
This course will begin by clearly defining what sustainability management is and determining if a sustainable economy is actually feasible. Students will learn to connect environmental protection to organizational management by exploring the technical, financial, managerial, and political challenges of effectively managing a sustainable environment and economy. This course is taught in a case-based format and will seek to help students learn the basics of management, environmental policy and sustainability economics. Sustainability management matters because we only have one planet, and we must learn how to manage our organizations in a way that ensures that the health of our planet can be maintained and bettered. This course is designed to introduce students to the field of sustainability management. It is not an academic course that reviews the literature of the field and discusses how scholars thing about the management of organizations that are environmentally sound. It is a practical course organized around the core concepts of sustainability.
An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Therem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.
An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Therem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.
Prerequisites: Organic chemistry and biology courses, neuroscience or neurobiology recommended, but not required. The study of the brain is one of the most exciting frontiers in science and medicine today. Although neuroscience is by nature a multi-disciplinary effort, chemistry has played many critical roles in the development of modern neuroscience, neuropharmacology, and brain imaging. Chemistry, and the chemical probes it generates, such as molecular modulators, therapeutics, imaging agents, sensors, or actuators, will continue to impact neuroscience on both preclinical and clinical levels. In this course, two major themes will be discussed. In the first one, titled Imaging brain function with chemical tools, we will discuss molecular designs and functional parameters of widely used fluorescent sensors in neuroscience (calcium, voltage, and neurotransmitter sensors), their impact on neuroscience, pros and cons of genetically encoded sensors versus chemical probes, and translatability of these approaches to the human brain. In the second major theme, titled Perturbation of the brain function with chemical tools, we will examine psychoactive substances, the basics of medicinal chemistry, brain receptor activation mechanisms and coupled signaling pathways, and their effects on circuit and brain function. We will also discuss recent approaches, failures and successes in the treatment of neurodegenerative and psychiatric disorders. Recent advances in precise brain function perturbation by light (optogenetics and photopharmacology) will also be introduced. In the context of both themes we will discuss the current and future possibilities for the design of novel materials, drawing on the wide molecular structural space (small molecules, proteins, polymers, nanomaterials), aimed at monitoring, modulating, and repairing human brain function. This course is intended for students (undergraduate and graduate) from the science, engineering and medical departments.
Introduction to stochastic processes and models, with emphasis on applications to engineering and management; random walks, gambler’s ruin problem, Markov chains in both discrete and continuous time, Poisson processes, renewal processes, stopping times, Wald’s equation, binomial lattice model for pricing risky assets, simple option pricing; simulation of simple stochastic processes, Brownian motion, and geometric Brownian motion. A specialized version of IEOR E4106 for MSE students.
A course on synthesis and processing of engineering materials. Established and novel methods to produce all types of materials (including metals, semiconductors, ceramics, polymers, and composites). Fundamental and applied topics relevant to optimizing the microstructure of the materials with desired properties. Synthesis and processing of bulk, thin-film, and nano materials for various mechanical and electronic applications.
A course on synthesis and processing of engineering materials. Established and novel methods to produce all types of materials (including metals, semiconductors, ceramics, polymers, and composites). Fundamental and applied topics relevant to optimizing the microstructure of the materials with desired properties. Synthesis and processing of bulk, thin-film, and nano materials for various mechanical and electronic applications.
Prerequisites: two years of college Polish or the instructors permission. Extensive readings from 19th- and 20th-century texts in the original. Both fiction and nonfiction, with emphasis depending on the interests and needs of individual students.
This course is designed for students who have completed seven semesters of Vietnamese class or have equivalent background of advance Vietnamese. It is aimed at developing more advance interpersonal communication skills in interpretive reading and listening as well as presentational speaking and writing at a superior level. Students are also prepared for academic, professional and literary proficiency suitable for post-secondary studies in the humanities and social sciences.
Introduction to principles of chemical reactions in soils, soil chemical properties and processes, and the chemical nature of soil solids. The scientific background for characterizing soil health, addressing soil pollution, performing soil remediation, and sustainable use of soil/subsurface resources. Properties of elements and molecules in soil, soil water chemistry, redox reactions in natural systems, mineralogy and weathering processes in soils, soil carbon cycling, climate change impact on soil, soil organic matter formation and structure, and legacy and emerging contaminants.
This course aims to provide a deeper understanding of the Korean language, culture, society, and history through critical analysis of Korean contemporary popular culture (e.g., music, drama, films, TV shows, advertisements, comic books, and other digital discourses). More specifically, the purposes of the course are twofold: (1) to analyze various sociolinguistic issues represented in contemporary Korean pop culture (e.g., honorifics, dialects, language changes, language variations across gender and generations, language contacts, neologism, slangs) and (2) to develop cultural awareness, critical thinking, digital and media literacy, and multimodal competence in Korean media and popular culture.
This undergraduate-level introductory course provides an overview of the science of nutrition and nutrition's relationship to health promotion and disease prevention. The primary focus is on the essential macronutrients and micronutrients, including their chemical structures, food sources, digestion and absorption, metabolism, storage, and excretion. Students develop the skills to evaluate dietary patterns and to estimate caloric requirements and nutrient needs using tools such as Dietary Guidelines for Americans, My Plate, Nutrition Facts Labels, and Dietary Reference Intakes.
This course builds on an introductory course in statistics and dives deeper into linear regression models, including generalized linear models, mixed/hierarchical models, model diagnostics, and model selection. It focuses on the practical applications of these methods rather than the mathematical complexities. A prior course or equivalent knowledge of fundamental concepts in statistics as well as familiarity with R programming are required pre-requisites for this course.
This undergraduate-level introductory course is the first of a two-course-series on human anatomy and physiology. Using a body systems approach, we will study the anatomical structure and physiological function of the human body. Foundational concepts from chemistry, cell biology, and histology are reviewed and built upon through the progression of topics. Each of the body systems will be studied for their structure, function, and mechanisms of regulation. The core concepts of levels of organization, interdependence of systems, and homeostasis will be emphasized throughout the course. This beginner level course will lay the foundation for further advanced study of physiology and pathophysiology within a nursing curriculum.
Some of the main stochastic models used in engineering and operations research applications: discrete-time Markov chains, Poisson processes, birth and death processes and other continuous Markov chains, renewal reward processes. Applications: queueing, reliability, inventory, and finance.
Prerequisites: KORN W4006 or the equivalent. Selections from advanced modern Korean writings in social sciences, literature, culture, history, journalistic texts, and intensive conversation exercises.
This undergraduate-level introductory course is the second of a two-course series on human anatomy and physiology. Using a body systems approach, we will study the anatomical structure and physiological function of the human body. Foundational concepts from chemistry, cell biology, and histology are reviewed and built upon through the progression of topics. Each of the body systems will be studied for their structure, function, and mechanisms of regulation. The core concepts of levels of organization, interdependence of systems, and homeostasis will be emphasized throughout the course. This beginner level course will lay the foundation for further advanced study of physiology and pathophysiology within a nursing curriculum.
Ray optics, matrix formulation, wave effects, interference, Gaussian beams, Fourier optics, diffraction, image formation, electromagnetic theory of light, polarization and crystal optics, coherence, guided wave and fiber optics, optical elements, photons, selected topics in nonlinear optics.
A study of the French Atlantic World from the exploration of Canada to the Louisiana Purchase and Haitian Independence, with a focus on the relationship between war and trade, forms of intercultural negotiation, the economics of slavery, and the changing meaning of race.
The demise of the First French Colonial Empire occurred in two stages: the British victory at the end of the Seven Years War in 1763, and the proclamation of Haitian Independence by insurgent slaves in 1804. The first French presence in the New World was the exploration of the Gulf of St. Lawrence by Jacques Cartier in 1534. At its peak the French Atlantic Empire included one-third of the North American continent, as well as the richest and most productive sugar and coffee plantations in the world.
By following the history of French colonization in North America and the Caribbean, this class aims to provide students with a different perspective on the history of the Western hemisphere, and on US history itself. At the heart of the subject is the encounter between Europeans and Native Americans and between Europeans and Africans. We will focus the discussion on a few issues: the strengths and weaknesses of French imperial control as compared with the Spanish and the British; the social, political, military, and religious dimensions of relations with Native Americans; the extraordinary prosperity and fragility of the plantation system; evolving notions of race and citizenship; and how the French Atlantic Empire shaped the history of the emerging United States.
This online undergraduate-level introductory course focuses on the core concepts and principles of microbiology. We will explore how microorganisms co-exist and interact with humans creating both beneficial and pathological results. We will survey the diversity of microorganisms, their classification, and the essential processes needed for survival; which will dictate the environments in which they can thrive. This exploration of microorganism diversity will include topics such as microbial nutrition and metabolism, genetics, and antimicrobial mechanisms employed by and against microorganisms. Special attention will be given to understanding the human immune system, mechanisms of infection by pathogenic microorganisms, and the role non-harmful microbiota serve in supporting immune function. The weekly lab component of this course will support and complement each learning module and familiarize students with basic microbiologic lab techniques.
The fundamentals of database design and application development using databases: entity-relationship modeling, logical design of relational databases, relational data definition and manipulation languages, SQL, XML, query processing, physical database tuning, transaction processing, security. Programming projects are required.
Aims to develop and harness the modeling, analytical, and managerial skills of engineering students and apply them to improve the operations of both service and manufacturing firms. Structured as a hands-on laboratory in which students "learn by doing" on real-world consulting projects (October to May). The student teams focus on identifying, modeling, and testing (and sometimes implementing) operational improvements and innovations with high potential to enhance the profitability and/or achieve sustainable competitive advantage for their sponsor companies. The course is targeted toward students planning careers in technical consulting (including operations consulting) and management consulting, or pursuing positions as business analysts in operations, logistics, supply chain and revenue management functions, positions in general management, and future entrepreneurs.
This introductory course covers human development across the lifespan. The course will provide an overview of development and the complexity of human growth through physical, cognitive, emotional, and social capacities. A review of historical and modern-day developmental theories as well as more complex interpersonal constructs, such as cultural variations, will be discussed. Special emphasis is placed upon examining the dynamic interplay between biology and environment with relevant application to nursing practice. The role of social and cultural stressors such as racism and socioeconomics in shaping human development will be examined. This undergraduate-level course will lay the foundation for further advanced study of human development within a nursing curriculum.
Develops and applies non-equilibrium thermodynamics for modeling of transport phenomena in fluids and their mixtures. Continuum balances of mass, energy and momentum for pure fluids; non-equilibrium thermodynamic development of Newtons law of viscosity and Fouriers law; applications (conduction dominated energy transport, forced and free convection energy transport in fluids); balance laws for fluid mixtures; non-equilibrium thermodynamic development of Ficks law; applications (diffusion-reaction problems, analogy between energy and mass transport processes, transport in electrolyte solutions, sedimentation).
From her first major feature,
Sweetie
(1989) to her most recent,
The Power of the Dog
(2021), Jane Campion has been one of the most significant filmmakers of her generation, not only as a breakthrough woman director but as a stylist who brings a sharp yet graceful aesthetic to wide-ranging, socially resonant work. Her frequent themes of feminism, marriage, social expectations and eroticism have smartly subverted genres including contemporary family drama, period pieces and television miniseries.
The Piano
remains a bold classic of romanticism, even as the film has come under criticism for its depiction of the Maori characters (an important angle to consider). Her period pieces, including the literary adaptation
The Portrait of a Lady
, infuse the 19th century with a contemporary sensibility. And her television work – recently
Top of the Lake
but decades ago
An Angel at My Table,
in 1990 – makes her an excellent director to study at a moment when the lines between cinema and television are blurring.
This course will look at her ongoing career as director and often screenwriter, with particular attention to her visual style in its consistencies and variations. Her aesthetic was established early, including off-kilter camera angles and sumptuous backdrops. But she does not adhere rigidly to a single style. As she continues to work, she remains open to changes in her own approach, using a male perspective and Western genre in
The Power of the Dog,
and embracing the miniseries form in two seasons of the socially relevant mystery
Top of the Lake
(which addresses sexual abuse). That openness and adaptability make her career a timely model for young filmmakers.
We will also look at responses to her work and the ever-growing body of scholarship, which includes important reevaluations. In addition to new perspectives on
The Piano
, for example, her thriller
In the Cut
has been reclaimed from its initial dismissal as a failure and reconsidered as a major work dealing with female perspective and desire.
Students will be encouraged to arrive at their own assessments of Campion's work, through class discussion, in-class reports, and two substantial papers incorporating research and original analysis.
In this introductory undergraduate course students will learn how vital the study of Biostatistics is to ensure that clinical and public health practices are supported by reliable evidence. Students will gain an appreciation for the hazards of applying human intuition to probability and statistical questions. This course is designed to explore the collection, analysis, and presentation/visualization of biologic and health data using statistical methods. Students will learn and apply fundamental concepts and techniques of descriptive statistics. Students will also learn basic fundamental concepts of inferential statistics.
Advanced Business Chinese II is the continuation of Advanced Business Chinese I, both of which are designed to help Columbia students who have achieved the advanced level of proficiency in Chinese use the language to communicate effectively in professional contexts. Topics to be discussed include, but are not limited to, the concept of Face, Guanxi/Interpersonal obligations, Chinese modesty and humility, and Chinese style of negotiation and decision making.
Stress and deformation formulation in two-and three-dimensional solids; viscoelastic and plastic material in one and two dimensions energy methods.
Advanced senior-level/MS/PhD course covering interaction of laser light with matter in both classical and quantum domains. First half introduces microscopic origin of optical nonlinearities through formal derivation of nonlinear susceptibilities, emphasis on second- and third-order optical processes. Topics include Maxwell's wave equation, and nonlinear optical processes such as second-harmonic, difference frequency generation, four-wave mixing, and self-phase modulation, including various applications of processes such as frequency conversion, and optical parametric amplifiers and oscillators. Second half describes two-level atomic systems and quantization of electromagnetic field. Descriptions of coherent, Fock, and squeezed states of light discussed and techniques to generate such states outlined.