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 develops students’ proficiency in formal and professional communication in Korean for business contexts. It deepens their understanding of Korean corporate culture, business practices, and broader socio-economic trends, while fostering the ability to analyze and respond critically to business-related issues using appropriate linguistic and cultural strategies.
Prerequisites: KORN UN3006 or the equivalent.
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.
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).
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.
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.
This seminar considers the difference gender makes in interpreting ancient Christian texts, ideas, and practices. Topics will include gender hierarchy and homoeroticism, prophecy and authority, outsiders’ views of Christianity, bodily pieties such as martyrdom and asceticism, and gender politics in the establishment of church offices. Emphasis will be placed on close readings of primary sources and selected scholarly framings of these sources.
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.
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.
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.
A survey of the most influential literary theories of the twentieth century, this seminar will discuss seminal contributions to hermeneutics, psychoanalysis, structuralism, deconstruction, discourse analysis, and gender theory. Each section will juxtapose two representative authors whose texts either complement or contradict one another. Based on close readings of exemplary texts, we will explore basic concepts of these theories and examine their intersections and differences. A second focal point of the seminar will be on applications of theory to literature. We will analyze their reformulation as methodologies in literary studies and discuss how they influenced different approaches to literature. The aim of the seminar will ultimately be to scrutinize critically these “applications” of theory to literature. Readings and discussions in English. No prior knowledge of literary theories required.
Current methods of construction, cost-effective designs, maintenance, safe work environment. Design functions, constructability, site and environmental issues.
Contractual relationships in the engineering and construction industry and the actions that result in disputes. Emphasis on procedures required to prevent disputes and resolve them quickly and cost-effectively. Case studies requiring oral and written presentations.
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.
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.
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.
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.
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.
Digital transformation optimizes day-to-day operations to provide maximum performance in Architecture, Engineering, and Construction (AEC) workflows. Focuses on broadening knowledge of AEC data leading to building data management. Use of open data sets from the design, construction, and operations of buildings to learn and practice data management and its applied use. Major technical topics include Project Management Information System (PMIS) and Facility Management (FM), leading to Digital Twin data management, data processing, and data visualization.
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).
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.
Introduces and employs various tools, concepts, and analytical frameworks to enhance students’ ability to define and analyze leadership issues. In-depth analysis of the leadership literature and practical situational immersion using industry case studies. Multiple guest lecturers from the private and public sectors throughout the semester. Term project exploring leadership challenges in the design and construction industry.
Within the literature on the history of capitalism there is a lively debate that seeks to explain the world-historical transition from feudal and tributary modes of production to the capitalist mode of production. Substantial issues raised in this debate include the question of whether capitalism can be characterized as a mode of production dominated by the exploitation of free labour; the role of international trade in the origin and development of capitalism; and the role of agriculture in promoting a transition to capitalism. Through the publication of two key texts in the late 1970s Robert Brenner's proposition that capitalism had its origins in English agriculture came to dominate the transition debate. More recently, however, there have been a number of publications that seek to challenge the Anglo-centric and Eurocentric tendencies of the entire transition debate. This course begins with the Brenner debates and then takes up revisions, critiques and challenges to that debate. Ultimately, the aim of the course is to more clearly understand the place of non-European polities and peoples in the history and development of capitalism.
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.
Prerequisites: MATH GU4061 or MATH UN3007 A rigorous introduction to the concepts and methods of mathematical probability starting with basic notions and making use of combinatorial and analytic techniques. Generating functions. Convergence in probability and in distribution. Discrete probability spaces, recurrence and transience of random walks. Infinite models, proof of the law of large numbers and the central limit theorem. Markov chains.
In this course, we will not only analyze some of the key antisemitic texts and ideas of the nineteenth and twentieth centuries, but also consider the impact of antisemitism on Jewish lived experience in the Middle East, North Africa, and Europe and the ways in which Jewish people and communities have responded to and confronted antisemitism in all three regions.
Antisemitism permeates the histories of nationalism, colonialism, and religion in ways that cross borders and cultures. Often, predominantly European phenomena – from the myth of ritual murder to fascist racism – have meaningfully informed Middle Eastern and North African antisemitism. Jewish resistance movements in all three regions, meanwhile, have relied and built upon one another: Middle Eastern Jews called upon European Jewish leaders to help them confront the anti-Jewish policies of colonial bureaucracies, and North African Jewish partisans rescued European Jewish refugees during World War II. These regions, however, are typically studied in isolation from one another. In this course, we will seek to arrive at an understanding of the interconnectedness of these histories.
Over the course of the nineteenth and twentieth centuries, Jewish life in these regions was radically transformed. Many longstanding Jewish communities – whole worlds of culture and human life – were ultimately destroyed. In our own time of rampant, well-documented antisemitism, it is especially important to learn about not only the history of antisemitism itself, but also the myriad successes and failures of those who, at every moment, found ways to resist. By learning about the past, we inherit the collective wisdom of those who have engaged with these issues before us; this may, in turn, help us to make well-informed, thoughtful decisions in the present and for the future.
This course – the first of its kind at Columbia – introduces students to a vital subfield of ethics focusing on patent and regulatory law in the biotech and pharmaceutical sectors. The course combines lectures, structured debate, and research to best present this fascinating and nuanced subject. Properly exploring this branch of bioethics requires an in-depth understanding of biotech and pharmaceutical patent and regulatory law. Students can gain this understanding by first completing Biotechnology Law (BIOT GU4160), formerly the prerequisite for this course. Now, they can also gain it by reading the appropriate chapters of
Biotechnology Law: A Primer for Scientists
(the textbook for BIOT GU4160 published earlier this year) prior to each class. A number of students in the biotechnology fields (such as those in biotechnology, biomedical engineering, and bioethics programs) have shown a keen interest over the years in taking this course, yet were unable to do so because they hadn’t taken BIOT GU4160. Given the recent publication of
Biotechnology Law
and the desirability of making BIOT GU4161 accessible to more students having the appropriate science background, BIOT GU4160 has been removed as a prerequisite.
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.
What tools does anthropology acquire to examine questions about time, and whose time do anthropologists often study? In this course, we will read ethnographic work spanning different moments in the history of the discipline of Anthropology in which the problem of writing about time, and particularly the time of others, is posed. By understanding key concepts through which anthropologists have captured the richness of temporal experiences, we will explore the magic and elusiveness of time in the life of people and cultures, all while telling a particular story about anthropology’s own experience with time.
In our weekly readings, we will bring together ethnography and theory, complemented by materials such as short films and novel excerpts. Each week will attend to a specific temporal phenomenon, which will help us further explore the relationship between time, ethnography, and critique. Throughout the semester, we will also engage in a series of “fieldnote-taking” exercises. These short entries will serve as a way to connect the readings on the syllabus with your own attempts to write about time and will contribute to the development of your midterm paper and form the foundation of your final paper.
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.
In the face of “post-liberal” political realignments, particular varieties of Christian conservatism and reactionism have ascended as consequential forces in and beyond the United States. This seminar interrogates these realignments through practices of conversion, coalition-making, and the kinds of belongings, extensions, departures, and excisions such practices make thinkable and tangible. We will focus on inter-denominational and intra-Christian dynamics particularly within the United States to ask questions about the contradictions, costs, and potentials of such new or newly energized Christian movements. Our interdisciplinary readings draw from political theory, public theology, and anthropological and historical studies. This course emerges from ongoing discussions among two anthropologists; in the spirit of modeling collaboration, students of the in-person seminar will have the opportunity for remote engagement with counterparts elsewhere.
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.
Introduction to modern display systems in an engineering context. The basis for visual perception, image representation, color space, metrics of illumination. Physics of luminescence, propagation and manipulation of light in anisotropic media, emissive displays, and spatial light modulators. Fundamentals of display addressing, the Alt-Pleshko theorem, multiple line addressing. Large area electronics, fabrication, and device integration of commercially important display types. A series of short laboratories will reinforce material from the lectures. Enrollment may be limited.
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.
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.