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.
Modern programming languages and compiler design. Imperative, object-oriented, declarative, functional, and scripting languages. Language syntax, control structures, data types, procedures and parameters, binding, scope, run-time organization, and exception handling. Implementation of language translation tools including compilers and interpreters. Lexical, syntactic and semantic analysis; code generation; introduction to code optimization. Teams implement a language and its compiler.
Modern programming languages and compiler design. Imperative, object-oriented, declarative, functional, and scripting languages. Language syntax, control structures, data types, procedures and parameters, binding, scope, run-time organization, and exception handling. Implementation of language translation tools including compilers and interpreters. Lexical, syntactic and semantic analysis; code generation; introduction to code optimization. Teams implement a language and its compiler.
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.
Introduction to computer networks and the technical foundations of the Internet, including applications, protocols, local area networks, algorithms for routing and congestion control, security, elementary performance evaluation. Several written and programming assignments required.
Boltzmann’s entropy hypothesis and its restatement to calculate the Helmholtz and Gibbs free energies and the grand potential. Applications to interfaces, liquid crystal displays, polymeric materials, crystalline solids, heat capacity and electrical conductivity of crystalline materials, fuel cell solid electrolytes, rubbers, surfactants, molecular self assembly, ferroelectricity. Computational methods for molecular systems. Monte Carlo (MC) and molecular dynamics (MD) simulation methods. MC method applied to liquid-gas and ferromagnetic phase transitions. Deterministic MD simulations of isolated gases and liquids. Stochastic MD simulation methods.
Prerequisites: LING UN3101 In light of the predicted loss of up to 90% of the world languages by the end of this century, it has become urgent that linguists take a more active role in documenting and conserving endangered languages. In this course, we will learn the essential skills and technology of language documentation through work with speakers of an endangered language.
An introduction to computer architecture and distributed systems with an emphasis on warehouse scale computing systems. Topics will include fundamental tradeoffs in computer systems, hardware and software techniques for exploiting instruction-level parallelism, data-level parallelism and task level parallelism, scheduling, caching, prefetching, network and memory architecture, latency and throughput optimizations, specialization, and an introduction to programming data center computers.
The main task of this course will be to read novels by African writers. But the novel in Africa also involves connections between the literary genre of the novel and the historical processes of colonialism, decolonization, and globalization in Africa. One important question we'll consider is how African novels depict those historical experiences in their themes and plots—we'll read novels that are about colonialism, etc. A more complex question is how these historical processes relate to the emergence of the novel as an important genre for African writers. Edward Said went so far as to say that without imperialism, there would be no European novel as we know it. How can we understand the novel in Africa (whether read or written) as a product of the colonial encounter? How did it shape the process of decolonization? What contribution to history, whether literary or political, does the novel in Africa make? We'll undertake a historical survey of African novels from the 1930s to the present, with attention to various subgenres (village novel, war novel, urbanization novel, novel of postcolonial disillusion, Bildungsroman). We'll attend to how African novelists blend literate and oral storytelling traditions, how they address their work to local and global audiences, and how they use scenes of characters reading novels (whether African or European) in order to position their writing within national, continental, and world literary space.
In viewing historical films and media works, we often grapple with the question of historical accuracy, and whether visual media is suited to the task of historical accounts, but another question we could ask is: Of what is film a history? This course will examine Korean history through cinema, and Korean cinema through history, by viewing films from various time periods that depict moments in Korean history.
The Carcerality, Law, and Punishment Workshop is a forum for students interested in social science research on the carceral system broadly construed and related institutions, processes, and practices. The CLP workshop invites leading scholars and brings together students and faculty for a deeper and more focused dialogue about new directions in the field. Supported by a grant from Columbia University’s Institute for Social and Economic Research Policy (ISERP), the CLP Workshop will meet generally on two Tuesdays every month during the academic year, and provide students with an opportunity to read, discuss, and share works-in-progress as well as build a scholarly network with others at Columbia and beyond. This year, the workshop theme will be “Politics, Movements, and Public Engagement.”
Introduction to the principles, methods and tools necessary to manage design and construction processes. Elements of planning, estimating, scheduling, bidding and contractual relationships. Valuation of project cash flows. Critical path method. Survey of construction procedures. Cost control and effectiveness. Field supervision.
The course provides a rigorous and advanced foundation in chemical engineering thermodynamics suitable for chemical engineering PhD students expected to undertake diverse research projects. Topics include Intermolecular interactions, non-ideal systems, mixtures, phase equilibria and phase transitions and interfacial thermodynamics.
A new approach to the classical problems of the sociology of knowledge - the social determination of knowledge and the social roles of those who create, possess, and distribute knowledge. This new approach rejects the current boundaries of inquiry and reunifies them as a network of practices straddling the boundaries of science and the professions.
This course prepares students to understand, analyze, and develop policies and procedures to address sustainability issues faced by urban centers in the developed and developing world, their decision-makers, and inhabitants. Enrolled students are assumed to have had no previous in-depth exposure to sustainable urban development and urban planning. By the end of the course, students will have learned the following skills necessary to develop strategies and related actions to enhance sustainability of cities: identify and support good practices in green and efficient urban development and planning; develop policies and foster technologies used to promote energy efficiency and reduced GHG emissions from buildings and transportation; develop policies and foster technologies necessary to ensure access to clean water; develop policies and foster technologies necessary for the effective collection, disposal, and possible re-use of waste; create approaches to climate change adaptation measures undertaken by cities; develop, track, and analyze sustainability metrics and indicators for urban centers. This course can also be counted toward Area 1: Integrative Sustainability Management.
Current methods of construction, cost-effective designs, maintenance, safe work environment. Design functions, constructability, site and environmental issues.
Planning and financing of capital facilities with a strong emphasis upon civil infrastructure systems. Project feasibility and evaluation. Design of project delivery systems to encourage best value, innovation and private sector participation. Fundamentals of engineering economy and project finance. Elements of life cycle cost estimation and decision analysis. Environmental, institutional, social and political factors. Case studies from transportation, water supply and wastewater treatment.
Practical focus upon legal concepts applicable to the construction industry. Provides sufficient understanding to manage legal aspects, instead of being managed by them. Topics include contractual relationships, contract performance, contract flexibility and change orders, liability and negligence, dispute avoidance/resolution, surety bonds, insurance and site safety.
Moving beyond stereotypes of victimized Asian womanhood and the dominance of Confucian patriarchy, we draw on Chinese literary/historical texts to examine sites of agency and power. Interrogating a range of gendered identities, roles, and expressions—from classical romantic heroines (ex.Peony Pavilion’s Du Liniang) and dynamic women writers (ex.the poet Li Qingzhao) to sexy fox spirits, cross-dressed warriors (Mulan), and queer love affairs (Li Yu’s Women in Love)—we probe relationships among social roles, sexualized bodies, and the performance of gender.
Interpretations of civil society and the foundations of political order according to the two main traditions of political thought--contraction and Aristotelian. Readings include works by Hobbes, Spinoza, Locke, Montesquieu, Hume, Rousseau, Kant, Hegel, Saint-Simon, Tocqueville, Marx, and Mill.
Core concepts of strategic planning, management and analysis within the construction industry. Industry analysis, strategic planning models and industry trends. Strategies for information technology, emerging markets and globalization. Case studies to demonstrate key concepts in real-world environments.
Core concepts of strategic planning, management and analysis within the construction industry. Industry analysis, strategic planning models and industry trends. Strategies for information technology, emerging markets and globalization. Case studies to demonstrate key concepts in real-world environments.
Capstone practicum where teams develop strategies and business plans for a new enterprise in the engineering and construction industry. Identification of attractive market segments and locations; development of an entry strategy; acquisition of financing, bonding and insurance; organizational design; plans for recruiting and retaining personnel; personnel compensation/incentives. Invited industry speakers. Priority given to graduate students in Construction Engineering and Management.
Examination of the fundamentals of infrastructure planning and management, with a focus on the application of rational methods that support infrastructure decision-making. Institutional environment and issues. Decision-making under certainty and uncertainty. Capital budgeting and financing. Group decision processes. Elements of decision and finance theory. Priority given to graduate students in Construction Engineering and Management.
Introduction to financial mechanics of public and private real-estate development and management. Working from perspectives of developers, investors and taxpayers, financing of several types of real estate and infrastructure projects are covered. Basics of real-estate accounting and finance, followed by in-depth studies of private, public, and public/private-partnership projects and their financial structures. Focused on U.S.-based financing, with some international practices introduced and explored. Financial risks and rewards, and pertinent capital markets and their financing roles. Impacts and incentives of various government programs, such as LEED certification and solar power tax credits. Case studies provide opportunity to compare U.S. practices to several international methods.
History and development of Building Information Modeling (BIM), its uses in design and construction, and introduction to the importance of planning in BIM implementation. Role of visual design and construction concepts and methodologies, including integrated project delivery form in architecture, engineering, and construction industries from project design, cost estimating, scheduling, coordination, fabrication, installation, and financing.
Design and analysis of unit operations employed in chemical engineering separations. Fundamental aspects of single and multistaged operations using both equilibrium and rate-based methods. Examples include distillation, absorption and stripping, extraction, membranes, crystallization, bioseparations, and environmental applications.
Fundamentals and applications of key physicochemical processes relevant to water quality engineering (such as water treatment, waste water treatment/reuse/recycling, desalination) and the natural environment (e.g. lakes, rivers, groundwater).
Delivery of infrastructure assets through Public-Private Partnerships (PPP). Value for Money analysis. Project organization. Infrastructure sector characterization. Risk analysis, allocation and mitigation. Monte Carlo methods and Real Options. Project finance and financing instruments. Case studies from transportation, water supply and energy sectors.
Delivery of infrastructure assets through Public-Private Partnerships (PPP). Value for Money analysis. Project organization. Infrastructure sector characterization. Risk analysis, allocation and mitigation. Monte Carlo methods and Real Options. Project finance and financing instruments. Case studies from transportation, water supply and energy sectors.
This course examines the politics and practices of collective accusation in comparative perspective. It treats these phenomena in their relation to processes of political and economic transition, to discourses of crisis, and to the practices of rule by which the idea of exception is made the grounds for extreme claims on and for the social body-usually, but not exclusively, enacted through forms of expulsion. We will consider the various theoretical perspectives through which forms of collective accusation have been addressed, focusing on psychoanalytic, structural functional, and poststructuralist readings. In doing so, we will also investigate the difference and possible continuities between the forms and logics of accusation that operate in totalitarian as well as liberal regimes. Course readings will include both literary and critical texts.
Prerequisites: elementary organic chemistry. Introduction to theory and practice of NMR spectroscopy. Instrumental aspects, basic NMR theory, NOE, and a survey of 2D methods are covered.
This course will cover the science needed to understand hydrology, the link between hydrology and climate, and why climate change will affect the hydrologic cycle. It will then look at what changes have occurred in the past, and what changes are projected for the future and how these changes may affect other sectors, such as agriculture. The final module of the course will look at adaptation measures to adapt to climate change. The course will be formatted to be a mixture of lectures and seminars, with the lecture portion used to introduce scientific concepts and the seminar portion to discuss and evaluate the readings assigned. At the end of this course, students will the hydrologic cycle and its connection to climate, how changes in climate have affected/will affect how much water is available on land, how water impacts ecosystem services, and how to diagnose the cause of a climate-related water problem and develop solutions to address it.
Expose students to various aspects of project management in the construction industry, enhance learning experience with real-world challenges and prepare for internships and future employment. Run for two semesters. First semester focuses on Traditional Project Management, and second semester focuses on Agile Project Management. For class project, development of a Project Management Plan (PMP) and an Operations Dashboard based on real-life examples of contracts (traditional project management) and operational excellence initiatives (agile project management).
This course covers the reactions, strategies, and tactics needed to tackle the molecular complexity posed by the structures of complex natural products. Building upon reactions learned in synthetic methods, additional examples of modern methods for bond-forming reactions will be presented, as will the tools necessary to logically analyze and build complex molecular targets. Primary literature sources will be emphasized.
You may be asked to serve as research subjects in studies under the direction of the faculty while enrolled in this course. Participation is voluntary.
Introduction to modern tools in functional analysis that are used in the analysis of deterministic and stochastic partial differential equations and in the analysis of numerical methods: metric and normed spaces. Banach space of continuous functions, measurable spaces, the contraction mapping theorem, Banach and Hilbert spaces bounded linear operators on Hilbert spaces and their spectral decomposition, and time permitting distributions and Fourier transforms.
This course explores literary representations of childhood in modern Japan, expanding into how manga, anime, and film have also dealt with the topos. Through literary and visual texts that problematize spaces, memories, ideals, rights, and propagandic power of childhood, students will think through and discuss broader issues of age, gender, identity politics, generational trauma, history of social structures, and the future of human society.
Prerequisites: the instructors permission. This course covers various topics in Medieval Latin Literature.
“Pan Africanist” ideologies were very diverse from Garveyism, Negritude to the various African America, Caribbean and African discourses of “neo-pharaohnism” and “Ethiopianism.” This seminar explores how Black leaders, intellectuals, and artists chose to imagine Black (Africans and people of African descent) as a global community from the late 19th century to the present. It examines their attempts to chart a course of race, modernity, and emancipation in unstable and changing geographies of empire, nation, and state. Particular attention will be given to manifestations identified as their common history and destiny and how such a distinctive historical experience has created a unique body of reflections on and cultural productions about modernity, religion, class, gender, and sexuality, in a context of domination and oppression.
The world’s most influential living film director and the most impactful creator of
popular culture in the last quarter of the Twentieth Century is a Jewish-American. Steven
Spielberg’s uncanny grasp of visual storytelling and his auteurist signature can be found
on every film he has directed, as well as many he has produced. This course will analyze
the content and formal construction of Spielberg’s films by following their thematic
through-lines – family ties (strained and healthy), the implacable threat, humanity at war,
man vs. the natural world, the child’s perspective, Jewish identity and others – in films as
disparate as Jaws and The Color Purple.
Each class meeting will include a complete screening of a feature film directed by Steven
Spielberg, as well as clips of related films by Spielberg. Readings will include critical
essays, histories, and interviews which elaborate on in-class screenings and cover
additional topics and films. Written assignments will be three analytical essays which
will encourage critical thinking, close analysis of film texts, and independent research
beyond the materials presented in class.
This course will cover advance topics in probability, including: the theory of martingales in discrete and in continuous time; Brownian motion and its properties, stochastic integration, ordinary and partial stochastic differential equations; Applications to optimal filtering, stopping, control, and finance; Continuous-time Markov chains, systems of interacting particles, relative entropy dissipation, notions of information theory; Electrical networks, random walks on graphs and groups, percolation.
In this course, students will learn about some of the many manifestations of Zionist thought and organizing from the nineteenth century to the present day. The term “Zionism” is much-debated, but usually with little direct reference to its myriad meanings over time and space. The priorities, concerns, and ideas of Zionists in 1940s Algeria might differ greatly from contemporaneous Egyptian Zionist circles. On the other hand, twenty-first century American Zionists might have more in common with 1910s Ottomanists than one would expect.
Each week, we will explore a different region of the world, examining Zionism in the Ottoman Empire, ‘Iraq, Iran, India, Yemen, ‘Aden, Europe, North Africa (Algeria, Tunisia, Morocco, Libya, and Egypt), Sub-Saharan Africa (Ethiopia, Eritrea, Djibouti, and Nigeria), South America, the United States, and Israel. Doing so will allow us to develop an expansive understanding of Zionist thought, shedding light on critical debates and current events in Israel and around the world.
Introduction to computer graphics. Topics include 3D viewing and projections, geometric modeling using spline curves, graphics systems such as OpenGL, lighting and shading, and global illumination. Significant implementation is required: the final project involves writing an interactive 3D video game in OpenGL.
Due to significant overlap in content, only one of COMS 4160 or Barnard COMS 3160BC may be taken for credit.
This course is conceived as an advanced seminar (i.e., upper-level
undergraduate and graduate) that addresses in more depth the themes of the lecture
course Tragic Bodies (BC 3160). It explores how dramatic enactment represents
boundaries and edges and thus skin, coverings, masking, and dress-up in relation to
gender and sexuality as well as race and class. The skin's tragedy most often is its
vulnerabilities – its othering and debasement, its tendency to be denigrated or willfully
cast off. This course will focus on these bodily edges, surfaces, and coverings, as well as
touching, proximity, and affect in ancient and modern drama as well as in film. In more
depth and more expansively than the lecture course, the seminar treats the three canonical
Greek writers of tragedy (Aeschylus, Sophocles, and Euripides) as unifying threads and
features modern re-envisionings of their dramas that challenge gender, racial, and human
conventions. The course will also feature ground-breaking work on aesthetics, affect and
the senses, materialities, and the post-human in order to craft with the students activist
engagements with embodiment.
This is an interdisciplinary seminar for graduate students and advanced undergraduates to explore transnational feminisms, gender politics in China, and the movement of feminist (and anti-feminist) ideas across borders. We will read some translations of primary works by Chinese writers, as well as feminist scholarship in English to gain insight into the following areas: social movements; gender, race, ethnicity and class; global capitalism and inequalities; sexualities; identities; digital activism; nationalisms; marriage and families; and the politics of reproduction. Although the course has no formal prerequisites, it assumes some basic knowledge about Chinese history and intersectional approaches to gender. If you have never taken a course on China before,please ask me for guidance on whether or not the course is suitable for you.
Fundamentals of water pollution and wastewater characteristics. Chemistry, microbiology, and reaction kinetics. Design of primary, secondary, and advanced treatment systems. Small community and residential systems.
Introduction to the theory and practice of computer user interface design, emphasizing the software design of graphical user interfaces. Topics include basic interaction devices and techniques, human factors, interaction styles, dialogue design, and software infrastructure. Design and programming projects are required.
Design, development, and evaluation of 3D user interfaces. Interaction techniques and metaphors, from desktop to immersive. Selection and manipulation. Travel and navigation. Symbolic, menu, gestural, and multimodal interaction. Dialogue design. 3D software support. 3D interaction devices and displays. Virtual and augmented reality. Tangible user interfaces. Review of relevant 3D math.
With the largest landmass of any continent and a majority of the world’s population, Asia is deeply diverse linguistic terrain, where even the major national languages may come from very different families and employ varied writing systems. Though many are endangered and little documented, Asia’s 2,000-plus languages are a crucial lens for looking in specific detail at the long-run history of places, peoples, and cultures, telling us “What’s where why?”, as language typologists sometimes put it. This course surveys four of Asia’s major language groups (Indo-Iranian, Turkic, Tibeto-Burman, and Sinitic) and four of its proposed linguistic areas (the Caucasus, India, mainland Southeast Asia, and Northeast Asia), where a constellation of languages from a variety of families, as well as isolates, have long been in close contact. Lesser-studied languages large and small will be examined in close-up for both their linguistic features and the natural, social, and historical forces that shape them.
Advanced security. Centralized, distributed, and cloud system security. Cryptographic protocol design choices. Hardware and software security techniques. Security testing and fuzzing. Blockchain. Human security issues. Note: May not earn credit for both W4182 and W4180 or W4187.
This course builds on core economics courses and addresses issues of environmental, resource and sustainable economics. It focuses on the interaction between markets and the environment; policy issues related to optimal extraction and pricing; property rights in industrial and developing countries and how they affect international trade in goods such as timber, wood pulp, and oil. An important goal of the class is to have students work in groups to apply economic concepts to current public policy issues having to do with urban environmental and earth systems. The use of the worlds water bodies and the atmosphere as economic inputs to production are also examined. The economics of renewable resources is described and sustainable economic development models are discussed and analyzed. Some time will also be devoted to international trade and regulation, and industrial organization issues. Students not only learn economic concepts, but they will also learn how to explain them to decision-makers. The instructor will tailor this course to the skill level of the students in order to most effectively suit the needs of the class.
Prerequisites: SDEV W3390 or EESC W4050 or the instructors permission. This class provides basic theory in landscape analysis and training in methods for analyzing landscapes, focusing on interpretation of satellite images. The class covers approaches and definitions in landscape analysis, data sources, land cover classification, change detection, accuracy assessment, projections of future land cover change, and techniques to interpret results of these analyses. Students will obtain hands-on experience working with data from a landscape related to his/her research or a landscape chosen by the instructors.
Techniques of solution of partial differential equations. Separation of the variables. Orthogonality and characteristic functions, nonhomogeneous boundary value problems. Solutions in orthogonal curvilinear coordinate systems. Applications of Fourier integrals, Fourier and Laplace transforms. Problems from the fields of vibrations, heat conduction, electricity, fluid dynamics, and wave propagation are considered.
Open to SEAS graduate and advanced undergraduate students, Business School, and GSAPP. Students from other schools may apply. Fast-paced introduction to human-centered design. Students learn the vocabulary of design methods, understanding of design process. Small group projects to create prototypes. Design of simple product, more complex systems of products and services, and design of business.
This course is being taught by two senior faculty members who are theorists and practitioners in disciplines as different as mathematics and literary criticism. The instructors believe that in today's world, the different ways in which theoretical mathematics and literary criticism mold the imaginations of students and scholars, should be brought together, so that the robust ethical imagination that is needed to combat the disintegration of our world can be produced. Except for the length of novels, the reading is no more than 100 pages a week.
Our general approach is to keep alive the disciplinary differences between literary/philosophical (humanities) reading and mathematical writing. Some preliminary questions we have considered are: the survival skills of the logicist school over against the Foundational Crisis of the early 20th century; by way of Wittgenstein and others, we ask, Are mathematical objects real? Or are they linguistic conventions? We will consider the literary/philosophical use of mathematics, often by imaginative analogy; and the role of the digital imagination in the humanities: Can so-called creative work as well as mathematics be written by machines? Guest faculty from other departments will teach with us to help students and instructors understand various topics. We will close with how a novel animates “science” in prose, stepping out of the silo of disciplinary mathematics to the arena where mathematics is considered a code-name for science: Christine Brooke-Rose’s novel
Subscript
.
Prerequisites: BIOT W4200 (OK without prerequisite). This course will provide a practical definition of the current role of the Regulatory Professional in pharmaceutical development, approval and post-approval actions. This will be illustrated by exploration, and interactive discussion of regulatory history, its evolution, current standards, and associated processes. The course will seek to clarify the role of Regulatory in development and lifecycle opportunities, demonstrating the value Regulatory adds by participation on research, development and commercial teams. The course will utilize weekly case studies and guest lecturers to provide color to current topical events related to the areas.
This course examines psychoanalytic movements that are viewed either as post-Freudian in theory or as emerging after Freuds time. The course begins by considering the ways Freuds cultural and historical surround, as well as the wartime diaspora of the European psychoanalytic community, shaped Freudian and post-Freudian thought. It then focuses on significant schools and theories of psychoanalysis that were developed from the mid 20th century to the present. Through readings of key texts and selected case studies, it explores theorists challenges to classical thought and technique, and their reconfigurations, modernizations, and total rejections of central Freudian ideas. The course concludes by looking at contemporary theorists moves to integrate notions of culture, concepts of trauma, and findings from neuroscience and attachment research into the psychoanalytic frame.
Review of laws of thermodynamics, thermodynamic variables and relations, free energies and equilibrium in thermodynamic system. Statistical thermodynamics. Unary, binary, and ternary phase diagrams, compounds and intermediate phases, solid solutions and Hume-Rothery rules, relationship between phase diagrams and metastability, defects in crystals. Thermodynamics of surfaces and interfaces, effect of particle size on phase equilibria, adsorption isotherms, grain boundaries, surface energy, electrochemistry, statistical mechanics.
Introduction to privacy technologies, their use in practice, and privacy regulations. Potential topics include anonymization, differential privacy, cryptography, secure multi-party computation, and legislation. Course material will be abased in real-world use cases of these tools.
Review of thermodynamics, irreversible thermodynamics, diffusion in crystals and noncrystalline materials, phase transformations via nucleation and growth, overall transformation analysis and time-temperature-transformation (TTT) diagrams, precipitation, grain growth, solidification, spinodal and order-disorder transformations, martensitic transformation.
What are the agents of developmental change in human childhood? How has the scientific community graduated from nature versus nurture, to nature
and
nurture? This course offers students an in-depth analysis of the fundamental theories in the study of cognitive and social development.
Phenomenological theoretical understanding of electrons in crystalline materials. Both translational and point symmetry employed to block diagonalize the Schrödinger equation and compute observables related to electrons. Topics include nearly free electrons, tight-binding, electron-electron interactions, transport, magnetism, optical properties, topological insulators, spin-orbit coupling, and superconductivity. Illustrated using both minimal model Hamiltonians in addition to accurate Hamiltonians for real materials.
Phenomenological theoretical understanding of electrons in crystalline materials. Both translational and point symmetry employed to block diagonalize the Schrödinger equation and compute observables related to electrons. Topics include nearly free electrons, tight-binding, electron-electron interactions, transport, magnetism, optical properties, topological insulators, spin-orbit coupling, and superconductivity. Illustrated using both minimal model Hamiltonians in addition to accurate Hamiltonians for real materials.
Prerequisites: At least one semester, and preferably two, of calculus. An introductory course (STAT UN1201, preferably) is strongly recommended. A calculus-based introduction to probability theory. A quick review of multivariate calculus is provided. Topics covered include random variables, conditional probability, expectation, independence, Bayes’ rule, important distributions, joint distributions, moment generating functions, central limit theorem, laws of large numbers and Markov’s inequality.
The course presents tools, techniques, methodologies, and concepts for composing original music for dance (both acoustic and electronic). Composers will develop a work for dance collaborating with choreographers, culminating in a public showing at the end of the semester. Weekly meetings will be used to discuss the unique challenges (both practical and aesthetic) that this type of interdisciplinary collaboration raises, and to troubleshoot potential solutions. Students will examine case studies of collaborative composer/choreographer pairs (especially from the last 75 years), as potential models for working via the study of artist statements, interviews, articles, videos, and classroom discussions with invited guests. No prior experience writing for dance is necessary. Basic familiarity with a digital audio workspace is preferable. For participants who don’t write music or work in sound, a research project either analyzing a composer/choreographer pairing or looking at a topic relating to music and dance more broadly will serve as an equivalent final project (resulting in an academic paper, a podcast, or the production of an educational video).
Prerequisites: STAT GU4203. At least one semester of calculus is required; two or three semesters are strongly recommended. Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.
Prerequisites: STAT GU4203. At least one semester of calculus is required; two or three semesters are strongly recommended. Calculus-based introduction to the theory of statistics. Useful distributions, law of large numbers and central limit theorem, point estimation, hypothesis testing, confidence intervals maximum likelihood, likelihood ratio tests, nonparametric procedures, theory of least squares and analysis of variance.
Prerequisites: STAT GU4204 or the equivalent, and a course in linear algebra. Theory and practice of regression analysis. Simple and multiple regression, testing, estimation, prediction, and confidence procedures, modeling, regression diagnostics and plots, polynomial regression, colinearity and confounding, model selection, geometry of least squares. Extensive use of the computer to analyse data.
JPNS4206OC: Third Year Japanese II, 4 points. Required to take Third Year Japanese I, JPNS4205OC for 4 points.
The 3rd Year Japanese program (JPNS4205OC & JPNS4206OC; 8 points/2 semesters) is designed for those who have completed at least two years of college-level Jap4nese or the equivalent (around 300 hours of Japanese study).
Students who want to take this course are expected to be at least at the
Intermediate-Mid level
of
the ACTFL Proficiency Guidelines
N1
at the beginning of the course. Please note that depending on the results of the placement test, the students may be placed in a different level than they apply for.
This class will use intermediate-level materials equivalent to
Tobira
and
Quartet I & II
or JLPT N3-N2. The coverage and materials will be contingent on the levels of students.
The goal of this course is to achieve Intermediate-High or above of the ACTFL Proficiency Guidelines.
To enroll in this course, you must apply to the
Kyoto Consortium Summer: Modern Japanese
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Sessions Terms. Visit the
UGE
website for the start and end dates for the Kyoto Consortium Summer: Modern Japanese KCJS.
Please email
uge@columbia.edu
with any questions you may have.
JPNS4206OC: Third Year Japanese II, 4 points. Required to take Third Year Japanese I, JPNS4205OC for 4 points.
The 3rd Year Japanese program (JPNS4205OC & JPNS4206OC; 8 points/2 semesters) is designed for those who have completed at least two years of college-level Jap4nese or the equivalent (around 300 hours of Japanese study).
Students who want to take this course are expected to be at least at the
Intermediate-Mid level
of
the ACTFL Proficiency Guidelines
N1
at the beginning of the course. Please note that depending on the results of the placement test, the students may be placed in a different level than they apply for.
This class will use intermediate-level materials equivalent to
Tobira
and
Quartet I & II
or JLPT N3-N2. The coverage and materials will be contingent on the levels of students.
The goal of this course is to achieve Intermediate-High or above of the ACTFL Proficiency Guidelines.
To enroll in this course, you must apply to the
Kyoto Consortium Summer: Modern Japanese
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Sessions Terms. Visit the
UGE
website for the start and end dates for the Kyoto Consortium Summer: Modern Japanese KCJS.
Please email
uge@columbia.edu
with any questions you may have.
JPNS4206OC: Third Year Japanese II, 4 points. Required to take Third Year Japanese I, JPNS4205OC for 4 points.
The 3rd Year Japanese program (JPNS4205OC & JPNS4206OC; 8 points/2 semesters) is designed for those who have completed at least two years of college-level Jap4nese or the equivalent (around 300 hours of Japanese study).
Students who want to take this course are expected to be at least at the
Intermediate-Mid level
of
the ACTFL Proficiency Guidelines
N1
at the beginning of the course. Please note that depending on the results of the placement test, the students may be placed in a different level than they apply for.
This class will use intermediate-level materials equivalent to
Tobira
and
Quartet I & II
or JLPT N3-N2. The coverage and materials will be contingent on the levels of students.
The goal of this course is to achieve Intermediate-High or above of the ACTFL Proficiency Guidelines.
To enroll in this course, you must apply to the
Kyoto Consortium Summer: Modern Japanese
program through the Center for Undergraduate Global Engagement (UGE).
Global Learning Scholarships
available.
Tuition
charges apply.
Please note the program dates are different from the Summer Sessions Terms. Visit the
UGE
website for the start and end dates for the Kyoto Consortium Summer: Modern Japanese KCJS.
Please email
uge@columbia.edu
with any questions you may have.
A survey course on the electronic and magnetic properties of materials, oriented towards materials for solid state devices. Dielectric and magnetic properties, ferroelectrics and ferromagnets. Conductivity and superconductivity. Electronic band theory of solids: classification of metals, insulators, and semiconductors. Materials in devices: examples from semiconductor lasers, cellular telephones, integrated circuits, and magnetic storage devices. Topics from physics are introduced as necessary.
Prerequisites: STAT GU4204 and GU4205 or the equivalent. Introduction to programming in the R statistical package: functions, objects, data structures, flow control, input and output, debugging, logical design, and abstraction. Writing code for numerical and graphical statistical analyses. Writing maintainable code and testing, stochastic simulations, paralleizing data analyses, and working with large data sets. Examples from data science will be used for demonstration.
African Americans and Native Americans have a shared history of racial oppression in America. However, the prevailing lenses through which scholars understand settler colonialism, religion, and black and indigenous histories focus overwhelmingly on the dynamics between Europeans and these respective groups. How might our understanding of these subjects change when viewed from a different point of departure, if we center the history of entanglements between black and native lives? How does religion structure the overlapping experiences of Afro-Native peoples in North America?
From political movements in Minneapolis, Oakland, and New York City to enslavement from the Cotton Belt to the Rio Grande, this class will explore how Africans, Native Americans, and their descendants adapted to shifting contexts of race and religion in America. The course will proceed thematically by examining experiences of war, dislocation, survival, and diaspora.