The historical significance of Marx lies not only in his reception in Germany or Europe, but across the world. But Marx’s thought emerged from a highly specific intellectual context of European thought. Therefore, reading Marx must have a contextual, German and European side, and, equally, a global reception side. The purpose of this course will be to read Marx’s texts closely, and to follow the trajectory of his ideas historically and therefore globally. In one sense, we understand what ‘doing’ political theory means more clearly in studying the struggles of Marx’s readers in addressing the question: how can reading Marx illuminate the historical analysis of very different societies – societies which were not in Europe, societies which were not based on a capitalist economy, societies that were not yet ‘modern’ in their economy, politics and culture. A part of the course will be about the Marxism of the ‘others’: American Black thinkers, and thinkers in China, India, Africa, the Middle East. To follow Marx’s thought historically is to read his thought globally.
The course will be in three parts. The first part will read some texts of Western social theory from which the central questions of Marx’s theoretical reflections were drawn. Following a method of Indian philosophy in which philosophic arguments are always read in relation to its purvapaksha (arguments in response to which the philosophical doctrine was conceived and elaborated), we shall start with questions first introduced in Hobbes (individual) Locke (property and its relation to government) and Adam Smith (capitalism) in the British tradition, and Hegel (on history and capitalism) and Feuerbach (religion and estrangement) in the German tradition. We shall explore the central arguments from these thinkers which Marx contends with – at times accepting and elaborating them, or modifying them, or directly questioning and rejecting them.
In the second part of the course, we shall closely read some texts from Marx, but also pair them with some of the major readings of their meanings from the Marxist tradition. Texts read will include the early journalistic writings, Economic and Philosophical Manuscripts, Communist Manifesto, the Grundrisse, political writings, Capital and Theories of Surplus Value, reflections on non-European history on the basis of his notes on ‘pre-capitalist formations’ and ethnological manuscripts.
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Prerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Real numbers, metric spaces, elements of general topology, sequences and series, continuity, differentiation, integration, uniform convergence, Ascoli-Arzela theorem, Stone-Weierstrass theorem.
The second term of this course may not be taken without the first. Power series, analytic functions, Implicit function theorem, Fubini theorem, change of variables formula, Lebesgue measure and integration, function spaces.
Building the functional map of the fruit fly brain. Molecular transduction and spatio-temporal encoding in the early visual system. Predictive coding in the Drosophila retina. Canonical circuits in motion detection. Canonical navigation circuits in the central complex. Molecular transduction and combinatorial encoding in the early olfactory system. Predictive coding in the antennal lobe. The functional role of the mushroom body and the lateral horn. Canonical circuits for associative learning and innate memory. Projects in Python.
Prerequisites: one year each of biology and physics, or the instructor's permission. This is a combined lecture/seminar course designed for graduate students and advanced undergraduates. The course will cover a series of cases where biological systems take advantage of physical phenomena in counter intuitive and surprising ways to accomplish their functions. In each of these cases, we will discuss different physical mechanisms at work. We will limit our discussions to simple, qualitative arguments. We will also discuss experimental methods enabling the study of these biological systems. Overall, the course will expose students to a wide range of physical concepts involved in biological processes.
As archaeologists we deal with the material traces left by the practices and actions of past people; we use these traces to evoke feelings, make propositions, and create narratives about the past and present. We can only know past practices through the signs we perceive inhering in the material evidence before us, and as such we need a rigorous understanding of semiotics, specifically as it plays out in relation to material culture. This extends to an understanding of the interplay of presence and absence, the relationship between linguistic and material sign, and questions of object agency. This class will consider the different ways in which people construct meaning from material remains, whether directly or indirectly experienced. We will explore how experience is mediated through objects, and the constitution of knowledge and thought in relation to the object world. In this iteration of the class we will focus especially on forensic evidence.
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.
An overview of approaches to estimating ages of sedimentary sequences and events in Earth history-to be-co listed at Stony Brook and Rutgers. Intended for students with good backgrounds in the physical sciences, who want to use geochronological techniques in their studies. Because of the hands-on nature of geochronology and thermochronology, we are going to run the course as a series of 5 workshops held on Saturdays (possibly a Sunday depending on scheduling)
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.
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.
Provides an opportunity for students to engage in independent study in an area of interest. A mentor is assigned.
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.
Analysis of aerospace structures (solid and thin-walled structures), including bending, shear, and torsion; aircraft loading bearing members; introduction to aerospace materials; analysis of structural instability; experimental method in aerospace structures.
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.
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.
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.
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.
Supply chain management, model design of a supply chain network, inventories, stock systems, commonly used inventory models, supply contracts, value of information and information sharing, risk pooling, design for postponement, managing product variety, information technology and supply chain management; international and environmental issues. Note: replaced IEOR E4000 beginning in fall 2018.
This course will examine Japanese architecture and urban planning from the mid-19th century to the present. We will address topics such as the establishment of an architectural profession along western lines in the late 19th century, the emergence of a modernist movement in the 1920's, the use of biological metaphors and the romanticization of technology in the theories and designs of the Metabolist Group, and the shifting significance of pre-modern Japanese architectural practices for modern architects. There will be an emphasis on the complex relationship between architectural practice and broader political and social change in Japan.
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.
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 use of multinuclear NMR spectroscopy in the determination of the structures of inorganic molecules and the use of dynamic NMR spectroscopy (variable temperature NMR and magnetization transfer techniques) to provide information concerned with reaction mechanisms.
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).
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).
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.
Elastic stresses at a crack; energy and stress intensity criteria for crack growth; effect of plastic zone at the crack; fracture testing applications. Fatigue characterization by stress-life and strain-life; damage index; crack propagation; fail safe and safe life analysis.
Overview of composite materials, including history, background, and manufacturing processes. Macro-mechanics: anisotropic elasticity and stress transformation. Micro-mechanics: Rule of Mixture, Composites Cylinder Model (CCM) and other models. Macro-mechanics: Classic Lamination Theory (CLT). Hygrothermal effects, residual stresses, Composite mechanical testing, fabrication. Failure modes and lamina-based failure theories. Bending and Buckling of composite plates. ICME of Composites (nano-, micro-, meso- and macro-scale analysis, experimental validation, process modeling, integration).
Design and implementation of operating systems. Topics include process management, process synchronization and interprocess communication, memory management, virtual memory, interrupt handling, processor scheduling, device management, I/O, and file systems. Case study of the UNIX operating system. A programming project is required.