Prerequisites: elementary physical chemistry.
Basic quantum mechanics: the Schrodinger equation and its interpretation, exact solutions in simple cases, methods or approximation, angular Mementum and electronic spin, and an introduction to atomic and molecular structure.
Prerequisites: STAT GU4205 or the equivalent.
Least squares smoothing and prediction, linear systems, Fourier analysis, and spectral estimation. Impulse response and transfer function. Fourier series, the fast Fourier transform, autocorrelation function, and spectral density. Univariate Box-Jenkins modeling and forecasting. Emphasis on applications. Examples from the physical sciences, social sciences, and business. Computing is an integral part of the course.
Prerequisites: courses in introductory psychology and cognitive psychology; and the instructor's permission.
Comprehensive overview of various conceptual and methodologic approaches to studying the cognitive neuroscience of aging. The course will emphasize the importance of combining information from cognitive experimental designs, epidemiologic studies, neuroimaging, and clinical neuropsychological approaches to understand individual differences in both healthy and pathological aging.
Prerequisites:
EESC W2200
or equivalent introductory geology course approved by the instructor.
Two required weekend field trips in September. An overview of sedimentology and stratigraphy for majors and concentrators in Earth and environmental sciences, and for graduate students from other disciplines. Lectures, class discussions, labs, and field exercises are integrated, with emphasis on processes, the characteristics of sediments and sedimentary rocks, interpretation of the geological record, and practical applications. Details at http://eesc.columbia.edu/courses/w4223/
Prerequisites: STAT GU4204 or the equivalent.
Bayesian vs frequentist, prior and posterior distributions, conjugate priors, informative and non-informative prior subjective and objective bayes, oneand two sample problems, models for normal data, models for binary data, multivariate normal shrinkage, bayesian linear models, bayesian computation (start early), MCMC algorithms, the Gibbs sampler, hierarchical models, empirical bayes, hypothesis testing, bayes factors, model selection, software: R and WinBUGS
Prerequisites: elementary physical chemistry.
Corequisites:
CHEM G4221
.
Topics include the classical and quantum statistical mechanics of gases, liquids, and solids.
Prerequisites: introductory geology and one year of calculus. Recommended preparation: higher levels of mathematics.
Introduction to the deformation processes in the Earth's crust. Fundamental theories of stress and strain; rock behavior in both brittle and ductile fields; earthquake processes; ductile deformation; large-scale crustal contractional and extensional events.
Refugees, forced migration, and displacement: these subjects top the headlines of the world’s newspapers, not to mention our social media feeds. Over a million refugees have reached Europe’s shores in recent years, and conflicts in the Middle East and elsewhere continue to force people to flee their homes. In the aftermath of the financial crisis and 9/11, politicians in the Global North have focused on borders: who crosses them and how. Walls are being erected. Referendums are being held. We are consumed with thorny questions about who gets to join our political communities. Today there are over 65 million refugees, displaced persons, and stateless persons in the world, represented at last summer’s Olympics by their own team for first the time, a testament to their increasing visibility on the world stage. Global forced displacement recently hit a historical high. And while numbers are increasing, solutions are still elusive. The modern refugee regime, the collection of laws and institutions designed to address the problems faced by refugees, has developed slowly over the course of the last 100 years, first in response to specific crises. That regime has been shaped by a changing geopolitical landscape. At the end of the Cold War, institutions in the field expanded their mandates and preferred solutions to the “problem” of refugees changed. And yet today many scholars and policy makers argue the regime is not fit for purpose. They point to the European refugee crisis as the latest case in point. Why? What went wrong and where? Can it be fixed? This course will largely focus on the issues of forced migration, displacement and refugees related to conflict, although this subject is inevitably intertwined with larger debates about citizenship and humanitarianism. Taking an interdisciplinary perspective, this course will address both scholarly and policy debates. Utilizing human rights scholarship, it will draw on work in history that charts the evolution of institutions; legal scholarship that outlines international and domestic laws; work in political science that seeks to understand responses in a comparative perspective, and anthropological studies that address how refugees understand these institutions and their experiences of exile and belonging. These topics are not only the purview of those in the academy, however. Investigative journalists have most recently provided trenchant coverage of the world’s refugees, especially the current European crisis, where many have reported from the shores of the
Prerequisites: (COMS W3134) and (COMS W3136) or (COMS W3137) and (COMS W3203)
Introduction to the design and analysis of efficient algorithms. Topics include models of computation, efficient sorting and searching, algorithms for algebraic problems, graph algorithms, dynamic programming, probabilistic methods, approximation algorithms, and NP-completeness.
Prerequisites: equivalent.
Design of concrete beams for combined torsion, shear and flexure; moment-curvature relation; design of two-way slabs; strut-and-tie method for the design of deep beams and corbels; gravity and shear wall design. Design project of a multistory reinforced concrete building.
Prerequisites: one semester of fourth-year Arabic, or demonstrate equivalent competence.
The sessions for this course cover a number of excerpts from texts that are systematically arranged to enable close reading and further discussion and analysis that lead to an active engagement with Arab literary [cultural] tradition. There are samples from pre-Islamic poetry, including that of the Renegades and the Ravens, the Maqamat, al-Jahiz’s oeuvre [selections from a number of books and epistles], Abu Hayyan al-Tawhidi’s writings, prose by ibn Wahb on use and misuse of language, epistles by prominent epistolographers, Hikayat Abi al-Qasim by al-Azdi, selections from al-Bayhaqi, and the
Thousand and One Nights
. There are excerpts from the middle and premodern period, along with specific selections of commentaries of pertinence to the rise or devaluation of genres, modes, and practices. We address cases in which language is the contested space. The theoretical framework takes language as the dynamic force and also the battlefield through our reading of the movement of the word from transparency [where no distance exists between signifiers and signified], representation, and discourse. Every epistemic shift has its ideological base which we need to detect. The underlying premise is that through close reading and discussion we can draw a genealogy of generic growth or decay in terms of historical, geographical, and religio-political dynamics. The class involves reading, discussion, and written assignments in both Arabic and English.
Prerequisites: equivalent.
Design of large-scale and complex bridges with emphasis on cable-supported structures. Static and dynamic loads, component design of towers, superstructures & cables; conceptual design of major bridge types including arches, cable stayed bridges and suspension bridges.
The course takes an uncommon approach to the history of Eastern Europe and China in the 20
th
century. Collectivist economic concepts played a crucial role at many stages of communist history, ranging from the utopia of war communism, through Stalinist political economy, all the way down to the doctrines of workers’ self-management and market socialism. They not only aimed at establishing and justifying the planned economy but were also instrumental in reforming it and, ironically, in designing even the capitalist regimes that rose from the ruins of communism. Despite the collapse of the planned economy in Eastern Europe and its radical liberalization in China, the attraction of collectivism did not ebb, and the local varieties of emerging capitalism proved unable to resist illiberal temptations. Applying the notion of the “long 20
th
century”, the course will start back in the 19
th
century by discussing the
fin de siècle
components of collectivist economic thought, and end up with the analysis of hybrid capitalist regimes in the early 21
st
century.
Prerequisites: STAT GU4204 or the equivalent.
Introductory course on the design and analysis of sample surveys. How sample surveys are conducted, why the designs are used, how to analyze survey results, and how to derive from first principles the standard results and their generalizations. Examples from public health, social work, opinion polling, and other topics of interest.
Fundamental concepts and techniques to describe electronic, structural, chemical and catalytic properties of surfaces. Kinetics and thermodynamics in adsorption, reaction, desorption, and diffusion processes on surfaces. Effects of transport in modifying surface reaction kinetics. Applies basic concepts in the chemical engineering curriculum (mathematical modeling, reaction kinetics, thermodynamics, transport) to surface reactions.
Prerequisites: instructor's permission.
Fundamental considerations of wave mechanics; design philosophies; reliability and risk concepts; basics of fluid mechanics; design of structures subjected to blast; elements of seismic design; elements of fire design; flood considerations; advanced analysis in support of structural design.
Prerequisites: the instructor's permission. Please contact Prof. Graham by e-mail (
nvg1@columbia.edu
) if you are interested in this course.
Prerequisites: instructor's permission.
Bearing capacity and settlement of shallow and deep foundations; earth pressure theories; retaining walls and reinforced soil retaining walls; sheet pile walls; braced excavation; slope stability.
Prerequisites: equivalent.
Conventional types of foundations and foundation problems: subsurface exploration and testing. Performance of shallow and deep foundations and evaluation by field measurements. Case histories to illustrate typical design and construction problems. To alternate with CIEN E4246.
Prerequisites: STAT GU4206 or the equivalent.
This course will incorporate knowledge and skills covered in a statistical curriculum with topics and projects in data science. Programming will covered using existing tools in R. Computing best practices will be taught using test-driven development, version control, and collaboration. Students finish the class with a portfolio on GitHub, and deeper understanding of several core statistical/machine-learning algorithms. Bi-weekly project cycles throughout the semester provide students extensive hands-on experience with various data-driven applications.
This course introduces Chinese internet culture by examining interactive literary communities, multimedia platforms, cyber-nationalism, web-based activism, and the possibility of the internet commons in mainland China. We will pay close attention to the figure of netizen, online piracy, cyberbullying, censorship, and growing addiction to virtual reality among the Chinese youth. Topics of discussion include, for example, the tension between connectivity and control, between imitation and innovation, and between the real and the virtual. We will explore these new developments in media technology primarily from social, political, and international perspectives. The goal is to understand how the rapid proliferation of digital technologies has helped create a new landscape of popular culture across mass media and transformed contemporary Chinese society.
Engineering design and construction of different types of tunnel, including cut and cover tunnel, rock tunnel, soft ground tunnel, immersed tub tunnel, and jacked tunnel. The design for the liner, excavation, and instrumentation are also covered. A field trip will be arranged to visit the tunneling site.
Prerequisites: basic knowledge in programming (e.g., at the level of
COMS W1007
), a basic grounding in calculus and linear algebra.
Methods for organizing data, e.g. hashing, trees, queues, lists,priority queues. Streaming algorithms for computing statistics on the data. Sorting and searching. Basic graph models and algorithms for searching, shortest paths, and matching. Dynamic programming. Linear and convex programming. Floating point arithmetic, stability of numerical algorithms, Eigenvalues, singular values, PCA, gradient descent, stochastic gradient descent, and block coordinate descent. Conjugate gradient, Newton and quasi-Newton methods. Large scale applications from signal processing, collaborative filtering, recommendations systems, etc.
The rise, decline, and fall of the Soviet Union, the first Communist state (and great power), and its postwar sphere of hegemony in Central and Eastern Europe largely coincided with the development and pervasive spread of a defining technology of twentieth-century modernity: film and cinema. Moreover, while Communism in power was always authoritarian, massively violent over substantial periods, and consistently hostile to individual freedom and self-expression for masses as well as cultural elites, many of the classic masterpieces of cinema were produced by artists working under Communist regimes. These regimes were modern and modernizing but illiberal and societies under Communist rule were not open. Yet their film-makers and audiences were never entirely cut off from the rest of the world, quite the opposite: film was an area of human activity and experience in which global interaction, influence, and emulation was woven into as well as constantly tearing at the texture of ideological divides and geopolitical rivalries that shaped the last century. In sum, film offers us a way to learn about the true complexity of a paradoxical century that witnessed two World Wars, one Cold War, and the somehow apparently inexorable shrinking of global imaginary space. In this course, we will not be able to explore all the possibilities offered by film as a quintessential cultural artifact of modernity and we will also not be able to cover films, schools, or countries comprehensively. But we will be able to use film selectively to reflect about the history of Communism (as realized in the former Soviet Union and it client states) and we will use Communism to think about the place of film in modernity. We will watch and discuss select movies and read a sample of texts.
Field(s):
MEU
Prerequisites:
ECON W3211
and
W3213
.
The study of industrial behavior based on game-theoretic oligopoly models. Topics include pricing models, strategic aspects of business practice, vertical integration, and technological innovation.
Prerequisites: elementary physical chemistry.
Thermodynamics of surfaces, properties of surfactant solutions and surface films, electrostatic and electrokinetic phenomena at interfaces, adsorption; interfacial mass transfer and modern experimental techniques.
State-of-the-art computer solutions in geotechnical engineering; 3D consolidation, seepage flows, and soil-structure interaction; element and mesh instabilities.
This course deals with the proteome: the expressed protein complement of a cell, matrix, tissue, organ or organism. The study of the proteome (proteomics) is broadly applicable to life sciences research, and is increasing important in academic, government and industrial research through extension of the impact of advances in genomics. These techniques are being applied to basic research, exploratory studies of cancer and other diseases, drug discovery and many other topics. Techniques of protein extraction, two-dimensional gel electrophoresis and mass spectrometry will be covered. Emphasis will be on mastery of practical techniques of MALDI-TOF mass spectrometry and database searching for identification of proteins separated by gel electrophoresis as well as background tutorials and exercises covering other techniques used in descriptive and comparative proteomics. Open to students in M.A. in Biotechnology Program (points can be counted against laboratory requirement for that program), Ph.D. and advanced undergraduate students with background in genetics or molecular biology. Students should be comfortable with basic biotechnology laboratory techniques as well as being interested in doing computational work in a Windows environment.
Prerequisites: Comfort with basic discrete math and probability. Recommended: COMS W3261 or CSOR W4231.
An introduction to modern cryptography, focusing on the complexity-theoretic foundations of secure computation and communication in adversarial environments; a rigorous approach, based on precise definitions and provably secure protocols. Topics include private and public key encryption schemes, digital signatures, authentication, pseudorandom generators and functions, one-way functions, trapdoor functions, number theory and computational hardness, identification and zero knowledge protocols.
Prerequisites: STAT GU4205 or the equivalent.
A fast-paced introduction to statistical methods used in quantitative finance. Financial applications and statistical methodologies are intertwined in all lectures. Topics include regression analysis and applications to the Capital Asset Pricing Model and multifactor pricing models, principal components and multivariate analysis, smoothing techniques and estimation of yield curves statistical methods for financial time series, value at risk, term structure models and fixed income research, and estimation and modeling of volatilities. Hands-on experience with financial data.
Prerequisites: STAT GU4204 or the equivalent. STAT GU4205 is recommended.
Modeling and inference for random processes, from natural sciences to finance and economics. ARMA, ARCH, GARCH and nonlinear models, parameter estimation, prediction and filtering. This is a core course in the MS program in mathematical finance.
Prerequisites: STAT GU4203. STAT GU4207 is recommended.
Basics of continuous-time stochastic processes. Wiener processes. Stochastic integrals. Ito's formula, stochastic calculus. Stochastic exponentials and Girsanov's theorem. Gaussian processes. Stochastic differential equations. Additional topics as time permits.
Prerequisites: STAT GU4264.
Mathematical theory and probabilistic tools for modeling and analyzing security markets are developed. Pricing options in complete and incomplete markets, equivalent martingale measures, utility maximization, term structure of interest rates. This is a core course in the MS program in mathematical finance.
This is an upper-level undergraduate and graduate (MA) seminar. It would be helpful if students have some background in film/media studies, cultural studies, and/or East Asian studies, though no prerequisite is required. The guiding questions of the course: The animated films variably have become sites of knowledge formation and aesthetic experiments in different regions of the world. How so? What were the underlying historical and cultural conditions that led to the invention and circulation of animation? What would be a heuristic and effective narrative mode to examine the transnational history of animation? In order to go beyond the narrow confines of area studies that often separate the treatment of Japanese animation from the Euro-American and/or Asian contexts, this course provides a comparative approach. The tripartite course begins by introducing canonical works of Japanese animated film (anime) and provides an overview of the state of field. The next session discusses historically important films (from Europe, US and China) which students examine along with the selected readings from animation theories. The final section explores, in addition to recent animated films, comics and graphic novels (Japan and Korea), which are vital media for understanding animation.
Prerequisites:
ECON W3211
,
ECON W3213
and
STAT 1201
.
An introduction to the economics principles underlying the financial decisions of firms. The topics covered include bond and stock valuations, capital budgeting, dividend policy, market efficiency, risk valuation, and risk management. For information regarding REGISTRATION for this course, go to:
http://econ.columbia.edu/registration-information
.
Prerequisites: For undergraduates: courses in introductory psychology, cognitive or developmental psychology, and the instructor's permission.
Core Knowledge explores the origins and development of knowledge in infants and children, with an additional emphasis on evolutionary cognition. In this course, we will examine evidence from cognitive psychology, developmental psychology, comparative psychology, neuroscience, and linguistics to look at the child's conception of objects, number, space, language, agency, morality and the social world. We will look at which aspects of knowledge are uniquely human, which are shared with other animals, and how this knowledge changes as children develop.
Prerequisites: At least one semester of calculus.
Introduction to the mathematical theory of interest as well as the elements of economic and financial theory of interest. Topics include rates of interest and discount; simple, compound, real, nominal, effective, dollar (time)-weighted; present, current, future value; discount function; annuities; stocks and other instruments; definitions of key terms of modern financial analysis; yield curves; spot (forward) rates; duration; immunization; and short sales. The course will cover determining equivalent measures of interest; discounting; accumulating; determining yield rates; and amortization.
Prerequisites: STAT GU4204 or the equivalent.
A one semester course covering: simple and multiple regression, including testing, estimation, and confidence procedures, modeling, regression diagnostics and plots, polynomial regression, colinearity and confounding, model selection, geometry of least squares. Linear time series models. Auto-regressive, moving average and ARIMA models. Estimation and forecasting with time series models. Confidence intervals and prediction error. Students may not receive credit for more than two of
STAT W4315
,
W4437
, and
W4440
. Satisfies the SOA VEE requirements in regression and in time-series.
This class focuses on the history of the Soviet Union and Russia between the death of Stalin/the end of totalitarianism and the present. It spans the turning-point date of 1991 when the Soviet Union abolished itself and was replaced by successor states, the most important of which is Russia. Not ending Soviet history with 1991 and not beginning Russian history with it either, we will seek to understand continuities as well as change. We will also draw on a diverse set of texts (and movies), including history, political science, journalism, fiction, and memoirs, feature and documentary movies. Geographically weighted toward Russia (and not the other also important successor states), in terms of content, this class concentrates on politics and society, including, crucially, the economy. These concepts, however, will be understood broadly. To come to grips with key issues in Soviet and Russian history in the historically short period after Stalinist totalitarianism, we will have to pay close attention to not only our analytical categories, but also to the way in which the political and the social have been understood by Soviet and Russian contemporaries. The class will introduce students to crucial questions of Russia's recent past, present, and future: authoritarianism and democratization, the role of the state and that of society, reform and retrenchment, communism and capitalism, and, last but not least, the nature of authority and legitimacy.
Prerequisites: (PSYC UN2235) or an equivalent course on judgment and decision making ,AND the instructor's permission
This course reviews current research in the domain of decision architecture: the application of research in cognitive and social psychology to real-world situations with the aim of influencing behavior. This seminar will discuss recent and classic studies, both of decision theory and of applied decision research, to explore the effectiveness—as well as the limitations—of a selection of these behavioral “nudges.”
Prerequisites: STAT GU4205 and at least one statistics course numbered between GU4221 and GU4261.
This is a course on getting the most out of data. The emphasis will be on hands-on experience, involving case studies with real data and using common statistical packages. The course covers, at a very high level, exploratory data analysis, model formulation, goodness of fit testing, and other standard and non-standard statistical procedures, including linear regression, analysis of variance, nonlinear regression, generalized linear models, survival analysis, time series analysis, and modern regression methods. Students will be expected to propose a data set of their choice for use as case study material.
Prerequisites: (MATH UN1201) and (MATH UN2030) and (APMA E3101) and (ENGI E1006) or their equivalents. Programming experience in Python extremely useful.
Introduction to fundamental algorithms and analysis of numerical methods commonly used by scientists, mathematicians and engineers. Designed to give a fundamental understanding of the building blocks of scientific computing that will be used in more advanced courses in scientific computing and numerical methods for PDEs (e.g. APMA E4301, E4302). Topics include numerical solutions of algebraic systems, linear least-squares, eigenvalue problems, solution of non-linear systems, optimization, interpolation, numerical integration and differentiation, initial value problems and boundary value problems for systems of ODE's. All programming exercises will be in Python.
Overview of properties and interactions of static electric and magnetic fields. Study of phenomena of time dependent electric and magnetic fields including induction, waves, and radiation as well as special relativity. Applications are emphasized.
Prerequisites: four semesters of biology with a firm foundation in molecular and cellular biology.
Introduces students to the current understanding of human diseases, novel therapeutic approaches and drug development process. Selected topics will be covered in order to give students a feeling of the field of biotechnology in health science. This course also aims to strengthen students’ skills in literature comprehension and critical thinking.
Prerequisites: Material and energy balances.
Ordinary differential equations including Laplace transforms. Reactor Design. An introduction to process control applied to chemical engineering through lecture and laboratory. Concepts include the dynamic behavior of chemical engineering systems, feedback control, controller tuning, and process stability. Introduction to the fundamentals of process safety and hazard analysis.
Overview of Greek and Roman literature. Close analysis of selected texts from the major genres accompanied by lectures on literary history. Topics include the context out of which the genres arose, the suitability of various modern critical approaches to the ancient texts, the problem of translation, and the transmission of the classical authors and their influence on modern literature.
Prerequisites: Undergraduate level mathematics and science, or instructor's permission.
Introduction to natural and anthropogenic carbon cycle, and carbon & climate. Rationale and need to manage carbon and tools with which to do so (basic science, psychology, economics and policy background, negotiations & society; emphasis on interdisciplinary and inter-dependent approach). Simple carbon emission model to estimate the impacts of a specific intervention with regards to national, per capita and global emissions. Student-led case studies (e.g., reforestation, biofuels, CCS, efficiency, alternative energy) to illustrate necessary systems approach required to tackle global challenges.
This course will address economic and social human rights through the lens of what is happening now in the early 21st century, in light of the enormous shifts that have taken place since the modern human rights movement first emerged in the aftermath of WWII. The course will address many of the central debates about economic and social rights and then examine how those debates apply to specific rights and topics including development, health, housing, work, food and education. Throughout, the course will examine how activists and policymakers have responded to all these changes, and ask what might lie ahead for the human rights movement in addressing economic and social rights in a multilateral, globalized world.
Prerequisites: completion of three years of modern Chinese at least, or four years of Japanese or Korean.
Prerequisites:
ECON W3211
and
W3213
.
Empirical findings on economic development, theoretical development models; problems of efficient resource allocation in a growing economy; balanced and unbalanced growth in closed and open economic systems; the role of capital accumulation and innovation in economic growth.
Prerequisites: Introductory materials course or equivalent, and instructor’s permission.
General experimental techniques in materials science, including X-ray diffraction, scanning electron microscopies, atomic force microscopy, materials synthesis and thermodynamics, characterization of material properties (mechanical, electrochemical, magnetic, electronic). Additional experiments at the discretion of the instructor.
Prerequisites: (APMA E4300) and application and knowledge in C, Fortran or similar complied language.
Introduction to the key concepts and issues in computational science aimed at getting students to a basic level of understanding where they can run simulations on machines aimed at a range of applications and sizes from a single workstation to modern super-computer hardware. Topics include but are not limited to basic knowledge of UNIX shells, version control systems, reproducibility, Open MP, MPI, and many-core technologies. Applications will be used throughout to demonstrate the various use cases and pitfalls of using the latest computing hardware.
Prerequisites: Undergraduate level math and science or instructor's permission.
Major technologies to store carbon dioxide, geological, ocean, and in the carbon chemical pool. Carbon dioxide transport technologies also covered. In addition to basic science and engineering challenges of each technology, full spectrum of economic, environmental, regulatory, and political/policy aspects, and their implication for regional and global carbon management strategies of the future. Combination of lectures, class debates and breakout groups, student presentations, and independent final projects.
Study of a single deity in the Hindu pantheon as illuminated in art, music, dance, drama, theological treatises, patterns of ritual, and texts both classic and modern. Special attention to Krishna's consort Radha, to Krishna's reception in the West, and to his portrayal on Indian television.
This course engages the genre of life writing in Tibetan Buddhist culture, addressing the permeable and fluid nature of this important sphere of Tibetan literature. Through Tibetan biographies, hagiographies, and autobiographies, the class will consider questions about how life-writing overlaps with religious doctrine, philosophy, and history. For comparative purposes, we will read life writing from Western (and Japanese or Chinese) authors, for instance accounts of the lives of Christian saints, raising questions about the cultural relativity of what makes up a life's story.
The strategies and technologies of global manufacturing and service enterprises. Connections between the needs of a global enterprise, the technology and methodology needed for manufacturing and product development, and strategic planning as currently practiced in industry.
Prerequisites: Enrollment limited to 15 students. Sophomore standing.
Identifies trends in Jewish American women's writing of this period: integration of Jewish and feminist consciousness into Jewish women's mainstream writing; exploration through fictive narratives of women's roles in Jewish orthodox communities; recording of experiences of immigrants from the former Soviet Union and from Arab countries.
Prerequisites: (CHEM UN2443 and CHEM UN2444)(CHEM UN3079 and CHEM UN3080)(BIOC UN3501)
Development and application of chemical methods for understanding the molecular mechanisms of cellular processes. Review of the biosynthesis, chemical synthesis, and structure and function of proteins and nucleic acids. Application of chemical methods--including structural biology, enzymology, chemical genetics, and the synthesis of modified biological molecules--to the study of cellular processes--including transcription, translation, and signal transduction.
Prerequisites: (ELEN E3331) and (ELEN E3801)
Differential and multistage amplifiers; small-signal analysis; biasing techniques; frequency response; negative feedback; stability criteria; frequency compensation techniques. Analog layout techniques. An extensive design project is an integral part of the course.
Fundamentals of solar energy transport: radiation heat transfer, convention, conduction and phase change processes. Heat exchangers and solar collectors: basic methods of thermal design, flow arrangements, effects of variable conditions, rating procedures. Solar energy concentration. Piping Systems: series and parallel arrangements, fluid movers. Thermal response and management of photovoltaic energy conversion. Solar energy storage. Solar cooling, solar thermal power and cogeneration. Applications to the design of solar thermal engineering systems.
Advanced dictation, sight singing, and musicianship, with emphasis on 20th-century music.
Prerequisites: Course in introductory thermodynamics, fluid mechanics, and heat transfer at the undergraduate level or instructor's permission
Thermodynamics and kinetics of reacting flows; chemical kinetic mechanisms for fuel oxidation and pollutant formation; transport phenomena; conservation equations for reacting flows; laminar non-premixed flames (including droplet vaporization and burning); laminar premixed flames; flame stabilization, quenching, ignition, extinction, and other limit phenomena; detonations; flame aerodynamics and turbulent flames.
Recommended preparation: ELEN E3106, ELEN E3331, and CSEE W3827. Design and analysis of high speed logic and memory. Digital CMOS and BiCMOS device modeling. Integrated circuit fabrication and layout. Interconnect and parasitic elements. Static and dynamic techniques. Worst-case design. Heat removal and I/O. Yield and circuit reliability. Logic gates, pass logic, latches, PLAs, ROMs, RAMs, receivers, drivers, repeaters, sense amplifiers.
The course focuses on human identity, beginning with the individual and progressing to communal and global viewpoints using a framework of perspectives from biology, genetics, medicine, psychiatry, religion and the law.
The platform of every modern Islamist political party calls for the implementation of the sharia. This term is invariably (and incorrectly) interpreted as an unchanging legal code dating back to 7th century Arabia. In reality, Islamic law is an organic and constantly evolving human project aimed at ascertaining God's will in a given historical and cultural context. This course offers a detailed and nuanced look at the Islamic legal methodology and its evolution over the last 1400 years. The first part of the semester is dedicated to classical Islamic jurisprudence, concentrating on the manner in which jurists used the Qur'an, the Sunna (the model of the Prophet), and rationality to articulate a coherent legal system. The second part of the course focuses on those areas of the law that engender passionate debate and controversy in the contemporary world. Specifically, we examine the discourse surrounding Islamic family (medical ethics, marriage, divorce, women's rights) and criminal (capital punishment, apostasy, suicide/martyrdom) law. The course concludes by discussing the legal implications of Muslims living as minorities in non-Islamic countries and the effects of modernity on the foundations of Islamic jurisprudence.
Prerequisites:
ECON W3211
and
W3213
.
The growth and structural changes of the post-World War II economy; its historical roots; interactions with cultural, social, and political institutions; economic relations with the rest of the world.
Theoretical and practical considerations, and design principles, for modern thermofluids systems. Topics include boiling, condensation, phase change heat transfer, multimode heat transfer, heat exchangers, and modeling of thermal transport systems. Emphasis on applications of thermodynamics, heat transfer, and fluid mechanics to modeling actual physical systems. Term project on conceptual design and presentation of a thermofluid system that meets specified criteria.
Prerequisites:
BCRS W2102
.
Further develops skills in speaking, reading, and writing, using essays, short stories, films, and fragments of larger works. Reinforces basic grammar and introduces more complete structures.
The development of Germany in the last century has influenced the history of Europe and, indeed, of the world in major and dramatic ways. Most historians agree that the country and its leaders played a crucial role in the outbreak of two world wars which cost some 80 million lives. Germany experienced a revolution in 1918, hyperinflation in 1923, the Great Depression after 1929, and the Nazi dictatorship in 1933. Between 1933 and 1945 there followed the brutal military conquest of most of Continental Europe and, finally, the Holocaust. After 1945, Germany was divided into two halves in which there emerged a communist dictatorship and a Western-style parliamentary-democratic system, respectively. The division of the country ended in 1989 with the collapse of the Honecker regime and the reunification of East and West Germany. No doubt, Germany’s history is confused and confusing and has therefore generated plenty of debate among historians. This course offers a comprehensive analysis of the country’s development in the 20th century. It is not just concerned with political events and military campaigns, but will also examine in considerable detail German society and its changing structures, relations between women and men, trends in both high and popular culture, and the ups and downs of an industrial economy in its global setting. The weekly seminars are designed to introduce you to the country’s conflicted history and the controversies it unleashed in international scholarship. Both M.A. students and advanced undergraduates are welcome.
Prerequisites: Mechanics of solids, structural analysis, elementary computer programming (MATLAB) is recommended, linear algebra and ordinary differential equations.
Direct stiffness approach for trusses. Strong and weak forms for one-dimensional problems. Galerkin finite element formulation, shape functions, Gauss quadrature, convergence. Multidimensional scalar field problems (heat conduction), triangular and rectangular elements, Isoparametric formulation. Multidimensional vector field problems (linear elasticity). Practical FE modeling with commercial software (ABAQUS). Computer implementation of the finite element method. Advanced topics. Not open to undergraduate students.
Prerequisites: two years of college Czech or the equivalent.
A close study in the original of representative works of Czech literature. Discussion and writing assignments in Czech aimed at developing advanced language proficiency.
Seminar explores the relations between space, power, and politics in the urban environment from the Enlightenment period to the present. General theoretical introduction (Henri Lefebvre and Michel Foucault), the urban environment (institutions, public/private dichotomies, urban monuments, events) and the relation between space and power in actual situations. From 18th-century case studies (prisons, asylums, clinics) to contemporary situations of spectacle and consumption (Disneyland and Los Angeles).
Guiding ideals in American architecture from the centennial to around 1960. The evolution of modernism in America is contrasted with European developments and related to local variants.
Prerequisites: three years of college Russian or the equivalent.
A language course designed to meet the needs of those foreign learners of Russian as well as heritage speakers who want to develop further their reading, speaking, and writing skills and be introduced to the history of Russia.
Developments in architectural history during the modern period. Emphasis on moments of significant change in architecture (theoretical, economic, technological, and institutional). Themes include positive versus arbitrary beauty, enlightenment urban planning, historicism, structural rationalism, the housing reform movement, iron and glass technology, changes generated by developments external or internal to architecture itself and transformations in Western architecture.
The members of the Frankfurt School were the first scholars within the university to take Freud seriously. Their attempt to integrate psychoanalysis and Critical Theory, which has spanned more than eighty years and assumed a number of forms, has been at the forefront of the effort to assimilate Freud's achievement into the larger cultural, intellectual and scholarly communities. Both psychoanalysis and Critical Theory are taught separately in many departments throughout the university. However, no class is offered that directly and systematically addresses the relation between the two. This class on "Psychoanalysis and Critical Theory" represents an attempt to fill in that gap in the Columbia curriculum.
Prerequisites: equivalent.
Introduction to runoff and drainage systems in an urban setting, including hydrologic and hydraulic analyses, flow and water quality monitoring, common regulatory issues, and mathematical modeling. Applications to problems of climate variation, land use changes, infrastructure operation and receiving water quality, developed using statistical packages, public-domain models, and Geographical Information Systems (GIS). Team projects that can lead to publication quality analyses in relevant fields of interest. Emphasis on the unique technical, regulatory, fiscal, policy, and other interdisciplinary issues that pose a challenge to effective planning and management of urban hydrologic systems.