Through varied exposure to Iranian film and fiction, and Persian poetry, this course is designed to introduce students to critical themes and creative effervescence of modern Iranian culture. The course will concentrate on Iranian cultural history of the last two centuries, with particular emphasis on contemporary issues.
Prerequisites: (COMS W3134 or COMS W3136 or COMS W3137)
Visual input as data and for control of computer systems. Survey and analysis of architecture, algorithms, and underlying assumptions of commercial and research systems that recognize and interpret human gestures, analyze imagery such as fingerprint or iris patterns, generate natural language descriptions of medical or map imagery. Explores foundations in human psychophysics, cognitive science, and artificial intelligence.
Prerequisites:
ECON W3211
and
W3213
.
The world is being transformed by dramatic increases in flows of people, goods and services across nations. Globalization has the potential for enormous gains but is also associated to serious risks. The gains are related to international commerce where the industrial countries dominate, while the risks involve the global environment, poverty and the satisfaction of basic needs that affect in great measure the developing nations. Both are linked to a historical division of the world into the North and the South-the industrial and the developing nations. Key to future evolution are (1) the creation of new markets that trade privately produced public goods, such as knowledge and greenhouse gas emissions, as in the Kyoto Protocol; (2) the updating of the Breton Woods Institutions, including the creation of a Knowledge Bank and an International Bank for Environmental Settlements.
Prerequisites: Working knowledge of at least one programming language, and some background in probability and statistics.
Computational techniques for analyzing genomic data including DNA, RNA, protein and gene expression data. Basic concepts in molecular biology relevant to these analyses. Emphasis on techniques from artificial intelligence and machine learning. String-matching algorithms, dynamic programming, hidden Markov models, expectation-maximization, neural networks, clustering algorithms, support vector machines. Students with life sciences backgrounds who satisfy the prerequisites are encouraged to enroll.
Prerequisites: one or two semesters of statistics; basic understanding of probability, hypothesis testing, and regression are assumed. Basic familiarity with statistical software (Stata and R) is helpful but not required.
In this course, we will discuss the logic of experimentation, its strengths and weaknesses compared to other methodologies, and the ways in which experimentation has been -- and could be -- used to investigate social phenomena. Students will learn how to interpret, design, and execute experiments.
Prerequisites: Any introductory course in linear algebra and any introductory course in statistics are both required. Highly recommended: COMS W4701 or knowledge of Artificial Intelligence.
Topics from generative and discriminative machine learning including least squares methods, support vector machines, kernel methods, neural networks, Gaussian distributions, linear classification, linear regression, maximum likelihood, exponential family distributions, Bayesian networks, Bayesian inference, mixture models, the EM algorithm, graphical models and hidden Markov models. Algorithms implemented in MATLAB.
Prerequisites: Students must have previous knowledge of Old English -- minimum one semester.
The aim of this course is twofold: one, to provide an advanced-level course in Old English literature involving weekly translation; and two, to explore the shape and possibilities of what “Anglo-Saxon spirituality” might be. The primary texts we will be translating will consist in homilies, poetry, treatises, sermons, hymns, prayers, penitentials, letters, and so called “secular” poetry like riddles. We will aim at covering selected materials from the four main manuscripts of Anglo-Saxon poetry (Vercelli, Junius, Nowell, and Exeter) to examine the extent to which they celebrate or veil theological interests. Part our time will involve assessing the prevalent distinction between secular and religious cultures, the relation between materiality and the spiritual, the role of affect in cultivating belief and piety, and the relation between Christian and non-Christian cultures and beliefs. Secondary theological materials will be read in translation including Paschasius Radbertus, Ratramnus, Hincmar, Alcuin, Aldhelm, Jerome, Gregory, and Augustine. Selections of Old Norse mythology and runic texts will also be included. The class will explore the of the role of the church in Anglo-Saxon England, debates about the impact of the Benedictine Reform, and the relation between art and theology.
Instruction in methods for models that have dependent variables that are not continuous, including dichotomous and polychotomous response models, models for censored and truncated data, sample selection models and duration models.
Tracing the discovery of the role of DNA tumor viruses in cancerous transformation. Oncogenes and tumor suppressors are analyzed with respect to their function in normal cell cycle, growth control, and human cancers. SCE and TC students may register for this course, but they must first obtain the written permission of the instructor, by filling out a paper Registration Adjustment Form (Add/Drop form). The form can be downloaded at the URL below, but must be signed by the instructor and returned to the office of the registrar.
http://registrar.columbia.edu/sites/default/files/content/reg-adjustment.pdf
Syntax and semantics; deductive systems; completeness and compactness theorems; first order calculi; Godel's completeness theorem; basic model theory, Skolem functions; Skolem-Lowenheim theorems.
Analysis and design of replacements for the heart, kidneys, and lungs. Specification and realization of structures for artificial organ systems.
This course offers an understanding of the interdisciplinary field of environmental, health and population history and will discuss historical and policy debates with a cross cutting, comparative relevance: such as the making and subjugation of colonized peoples and natural and disease landscapes under British colonial rule; modernizing states and their interest in development and knowledge and technology building, the movement and migration of populations, and changing place of public health and healing in south Asia. The key aim of the course will be to introduce students to reading and analyzing a range of historical scholarship, and interdisciplinary research on environment, health, medicine and populations in South Asia and to introduce them to an exploration of primary sources for research; and also to probe the challenges posed by archives and sources in these fields. Some of the overarching questions that shape this course are as follows: How have environmental pasts and medical histories been interpreted, debated and what is their contemporary resonance? What have been the encounters (political, intellectual, legal, social and cultural) between the environment, its changing landscapes and state? How have citizens, indigenous communities, and vernacular healers mediated and shaped these encounters and inserted their claims for sustainability, subsistence or survival? How have these changing landscapes shaped norms about bodies, care and beliefs? The course focuses on South Asia but also urges students to think and make linkages beyond regional geographies in examining interconnected ideas and practices in histories of the environment, medicine and health. Topics will therefore include (and students are invited to add to these perspectives and suggest additional discussion themes): colonial and globalized circuits of medical knowledge, with comparative case studies from Africa and East Asia; and the travel and translation of environmental ideas and of medical practices through growing global networks.
Prerequisites: Two years of Sanskrit or the instructor's permission.
Prerequisites: Two years of Sanskrit or the instructor's permission. The two levels of advanced Sanskrit are given in alternate years. In 2017-2018 court literature (fall) and literary criticism (spring) will be offered; in 2018-2019, philosophy. Close reading of major works, exploring both philological and literary-theoretical aspects of the texts. No P/D/F or R credit is allowed for this class.
Prerequisites: (IEOR E3658) or equivalent.
Characterization of stochastic processes as models of signals and noise; stationarity, ergodicity, correlation functions, and power spectra. Gaussian processes as models of noise in linear and nonlinear systems; linear and nonlinear transformations of random processes; orthogonal series representations. Applications to circuits and devices, to communication, control, filtering, and prediction.
The 19th Century European Novel in the field of the emotions and in the cultural context of the major thinkers and the major historical events of the era.We will examine feelings, emotions, and passions in the novels from the perspectives of affective neuroscience, psychoanalysis, and philosophy in order to lay bare more clearly what is known and believed versus what is unknown, ignored or latent about human emotional reality at this time. Reading: Austen, Kleist (novella), Emily Bronte, Dickens, Dostoevsky, Hardy, D.H. Lawrence. No reading outside of the novels will be required on your part. , Further, my aim is to expand our cultural knowledge of the era by including the conceptual contributions and formative ideas of major 19th century thinkers in my lectures on the novels. Optional Reading of short selections from: Kant, Hegel, Feuerbach, Marx, Darwin, Kierkegaard, Nietzsche, and Freud. Those who wish to read and write in a comparative way or on any of the optional writers will be able to do so in lieu of one or, possibly, two novels.
Prerequisites: (CSEE W3827) or a half semester introduction to digital logic, or the equivalent.
An introduction to modern digital system design. Advanced topics in digital logic: controller synthesis (Mealy and Moore machines); adders and multipliers; structured logic blocks (PLDs, PALs, ROMs); iterative circuits. Modern design methodology: register transfer level modelling (RTL); algorithmic state machines (ASMs); introduction to hardware description languages (VHDL or Verilog); system-level modelling and simulation; design examples.
Following the collapse of the Soviet Union, the world entered a unipolar moment, with the United States remaining the sole superpower. But more recently the global order has undergone transformations, with non-Western powers playing an increasing role. This module examines the “rise of the rest,” most notably China, Russia, Brazil and India, the so-called BRICS. These states account for 40% of the world’s population and 22% of the global economy. As we move toward a post-unipolar world, the norms of global governance, including liberal peacebuilding, intervention and development, are becoming an increasingly contested terrain. Not only have the rising powers challenged some of these notions and deployed their own non-liberal responses to them, but disillusionment with the liberal international order has grown in the West, with the election of Trump and Brexit having further shaken confidence in the durability of the current liberal order.
In this module, students will define and explore the concept of “Rising Powers,” and examine the recent history and foreign policy of the BRICS countries. Students will examine their positions on central tenets of the liberal order. In the final sessions, students will debate the consequences of the rise of new powers in the international system. Where some analysts have argued that these rising powers will integrate smoothly into the international system causing minimal disruption, others are alarmed about the shifting dynamics in the international system and the decline in American power, predicting future conflicts.
At the crossroads of three continents, the Middle East is home to many diverse peoples, with ancient and proud cultures, in varying stages of political and socio-economic development, often times in conflict. Now in a state of historic flux, the Arab Spring has transformed the Middle Eastern landscape, with great consequence for the national security strategies of the countries of the region and their foreign relations. The primary source of the world's energy resources, the Middle East remains the locus of the terror-WMD-fundamentalist nexus, which continues to pose a significant threat to both regional and international security. The course surveys the national security challenges facing the region's primary players (Egypt, Saudi Arabia, Iran, Syria and Lebanon, Israel, the Palestinians and Turkey, Jordan) and how the revolutions of the past year will affect them. Unlike many Middle East courses, which focus on US policy in the region, the course concentrates on the regional players' perceptions of the threats and opportunities they face and on the strategies they have adopted to deal with them. It thus provides an essential vantage point for all those interested in gaining a deeper understanding of a region, which stands at the center of many of the foreign policy issues of our era. The course is designed for those with a general interest in the Middle East, especially those interested in national security issues, students of comparative politics and future practitioners, with an interest in "real world" international relations and national security.
Terrorism is a tactic most often employed in the context of broader conflicts and armed struggles. Of these, civil wars have become the predominant type of conflict in recent years and decades, as exemplified by the civil wars in Syria, Iraq, Afghanistan, or Yemen, among others. Invariably, these civil wars feature insurgencies, i.e., organized, protracted politico-military struggles designed to weaken control and legitimacy of an established government, occupying power, or other political authority, while increasing insurgent control.
The purpose of this course is to examine the causes, nature, and termination of civil wars and the insurgencies that characterize them. Special emphasis is placed on the conduct of civil wars—the nature of insurgency and counterinsurgency (COIN). The course offers different theoretical perspectives and provides historical and contemporary case studies.
A close study of the historic and material conditions, readerly effects, and subsequent influence of William Blake's illuminated books. This course examines the interplay of poetry and illustration in these remarkable works, paying close attention to Blake's idiosyncratic method of self-publishing. Approaching Blake's plates through digital technology, we will be particularly attuned to the ways they seem to welcome and resist new forms of representation and engagement. Illuminated works we will study in depth include The Book of Thel, The Marriage of Heaven and Hell, Visions of the Daughters of Albion, America a Prophecy, Songs of Innocence and of Experience, Europe a Prophecy, The First Book of Urizen, and extracts from Milton a Poem and Jerusalem. We will trace allusions that these works make to the Bible, Dante, Milton, and eighteen-century mystics, writers, and artists; we will also consider later evocations of Blake by poets, filmmakers, musicians, and online communities. To facilitate close reading and collaboration, this seminar will make use of Mediathread, a multimedia analysis platform developed at Columbia by the Center for Teaching and Learning.
The course describes the major elements of Chinese foreign policy today, in the context of their development since 1949. We seek to understand the security-based rationale of policy as well as other factors - organizational, cultural, perceptual, and so on - that influence Chinese foreign policy. We analyze decision-making processes that affect Chinese foreign policy, China's relations with various countries and regions, Chinese policy toward key functional issues in international affairs, how the rise of China is affecting global power relations, and how other actors are responding. The course pays attention to the application of international relations theories to the problems we study, and also takes an interest in policy issues facing decision-makers in China as well as those facing decision-makers in other countries who deal with China.
China's transformation under its last imperial rulers, with special emphasis on economic, legal, political, and cultural change.
Prerequisites: Recommended preparation: a solid background in basic chemistry.
Introduction to geochemical cycles involving the atmosphere, land, and biosphere; chemistry of precipitation, weathering reactions, rivers, lakes, estuaries, and groundwaters; students are introduced to the use of major and minor ions as tracers of chemical reactions and biological processes that regulate the chemical composition of continental waters.
Open to undergraduates with previous work in the history of philosophy and to graduate students. Focuses either on an important topic in the history of early modern philosophy (e.g., skepticism, causation, mind, body) or on the philosophy of a major figure in the period (e.g., Descartes, Leibniz, Spinoza, Gassendi, Conway).
Basic microbiological principles; microbial metabolism; identification and interactions of microbial populations responsible for the biotransformation of pollutants; mathematical modeling of microbially mediated processes; biotechnology and engineering applications using microbial systems for pollution control.
Topic: Machine Learning.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Registration information is posted on the department's Seminar Sign-up webpage.
Selected topics in microeconomics. Selected topics will be posted on the department's webpage.
Prerequisites: ECON UN3211 and ECON UN3213 and ECON UN3412 Registration information is posted on the department's Seminar Sign-up webpage.
Selected topics in microeconomics. Selected topics will be posted on the department's webpage.
The course examines the ocean's response to external climatic forcing such as solar luminosity and changes in the Earth's orbit, and to internal influences such as atmospheric composition, using deep-sea sediments, corals, ice cores and other paleoceanographic archives. A rigorous analysis of the assumptions underlying the use of climate proxies and their interpretations will be presented. Particular emphasis will be placed on amplifiers of climate change during the alternating ice ages and interglacial intervals of the last few million years, such as natural variations in atmospheric "greenhouse gases" and changes in deep water formation rates, as well as mechanisms of rapid climate change during the late Pleistocene. The influence of changes in the Earth's radiation distribution and boundary conditions on the global ocean circulation, Asian monsoon system and El Nino/Southern Oscillation frequency and intensity, as well as interactions among these systems will be examined using proxy data and models. This course complements W4937 Cenozoic Paleoceanography and is intended as part of a sequence with W4330 Terrestrial Paleoclimate for students with interests in Paleoclimate.
Prerequisites: Elementary Ottoman Turkish.
This course deals with authentic Ottoman texts from the early 18th and 19th centuries. The class uses Turkish as the primary language for instruction, and students are expected to translate assigned texts into Turkish or English. A reading packet will include various authentic archival materials in rika, talik and divani styles. Whenever possible, students will be given texts that are related to their areas of interest. Various writing styles will be dealt with on Ottoman literature, history, and archival documents. No P/D/F or R credit is allowed for this class.
Prerequisites: Recommended preparation: some background in fluids, as provided by courses like EESC GU4925 or APPH E4200, or the instructor's permission.
Mixing and dispersion in the ocean is of fundamental importance in many oceanographic problems, including climate modeling, paleo and present-day circulation studies, pollutant dispersion, biogeography, etc. The main goal of this course is to provide in-depth understanding (rather than mathematical derivations) of the causes and consequences of mixing in the ocean, and of the properties of dispersion. After introducing the concepts of diffusion and turbulence, instruments and techniques for quantifying mixing and dispersion in the ocean are reviewed and compared. Next, the instabilities and processes giving rise to turbulence in the ocean are discussed. The course concludes with a series of lectures on mixing and dispersion in specific oceanographic settings, including boundary layers, shallow seas, continental shelves, sea straits, seamounts, and mid-ocean ridge flanks.
Prerequisites: Recommended preparation: a good background in the physical sciences.
Physical properties of water and air. Overview of the stratification and circulation of Earth's ocean and atmosphere and their governing processes; ocean-atmosphere interaction; resultant climate system; natural and anthropogenic forced climate change.
Prerequisites: Advanced calculus and junior year applied mathematics, or their equivalents.
This course may be repeated for credit. Topics and instructors from the Applied Mathematics Committee and the staff change from year to year. For advanced undergraduate students and graduate students in engineering, physical sciences, biological sciences, and other fields.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: the instructor's permission.
Special topics arranged as the need and availability arises. Topics are usually offered on a one-time basis. Since the content of this course changes each time it is offered, it may be repeated for credit. Consult the department for section assignment.
Prerequisites: Instructor's written permission.
Only EAEE graduate students who need relevant off-campus work experience as part of their program of study as determined by the instructor. Written application must be made prior to registration outlining proposed study program. Final reports required. This course may not be taken for pass/ fail credit or audited. International students must also consult with the International Students and Scholars Office.
This course will be the first part of a two part introduction to theoretical approaches to modern social science and cultural studies in Asian and African contexts. The first course will focus primarily on methodological and theoretical problems in the fields broadly described as historical social sciences - which study historical trends, and political, economic and social institutions and processes. The course will start with discussions regarding the origins of the modern social sciences and the disputes about the nature of social science knowledge. In the next section it will focus on definitions and debates about the concept of modernity. It will go on to analyses of some fundamental concepts used in modern social and historical analyses: concepts of social action, political concepts like state, power, hegemony, democracy, nationalism; economic concepts like the economy, labor, market, capitalism, and related concepts of secularity/secularism, representation, and identity. The teaching will be primarily through close reading of set texts, followed by a discussion. A primary concern of the course will be to think about problems specific to the societies studied by scholars of Asia and Africa: how to use a conceptual language originally stemming from reflection on European modernity in thinking about societies which have quite different historical and cultural characteristics.
Students will be introduced to the fundamental financial issues of the modern corporation. By the end of this course, students will understand the basic concepts of financial planning, managing growth; debt and equity sources of financing and valuation; capital budgeting methods; and risk analysis, cost of capital, and the process of securities issuance.
In the first semester a series of workshops will introduce the field of international history and various research skills and methods such as conceptualization of research projects and use of oral sources. The fall sessions will also show the digital resources available at Columbia and how students can deploy them in their individual projects. In the second semester students will apply the skills acquired in the fall as they develop their proposal for the Master's thesis, which is to be completed next year at the LSE. The proposal identifies a significant historical question, the relevant primary and secondary sources, an appropriate methodology, what preliminary research has been done and what remains to be done. Students will present their work-in-progress.
Though this is a graduate seminar, undergraduate juniors and seniors are permitted to enroll. There are no pre-requisites for the course. The fourteen weeks of the course will consist of a combination of 1) lectures by the instructors followed by discussions, 2) discussions with guest visitors who are distinguished scholars in the field and whose work will be pre-circulated to the seminar, and 3) presentations by students on the readings on the syllabus.
Requirements: Strictly regular attendance, prior reading of weekly texts, and a term paper at the end of term of roughly 20-25 pages.
General Description:
The concept of freedom is analytically complex and has a long and varied intellectual history. This course will focus on the concept as it emerged in the modern period (roughly since the seventeenth century in Europe) and focus in particular on three aspects of freedom. Though the primary interest of the seminar will be on political and academic freedom, it will be useful to begin with a very brief discussion of the most abstract dimension of freedom by asking what notion of freedom might individual human subjects be said to possess given the determinism that seems to be everywhere indicated by the comprehensive explanatory power of modern science.
Students will gain an overview of major concepts of management and organization theory, concentrating on understanding human behavior in organizational contexts, with heavy emphasis on the application of concepts to solve managerial problems. By the end of this course students will have developed the skills to motivate employees, establish professional interpersonal relationships, take a leadership role, and conduct performance appraisal.
Prerequisites: MATH UN12012,MATH UN3027,MATH GR5203 , or their equivalents.
The mathematics of finance, principally the problem of pricing of derivative securities, developed using only calculus and basic probability. Topics include mathematical models for financial instruments, Brownian motion, normal and lognormal distributions, the Black├╗Scholes formula, and binomial models.
Prerequisites: One semester of undergraduate statistics
The data analysis course covers specific statistical tools used in social science research using the statistical program R. Topics to be covered include statistical data structures, and basic descriptives, regression models, multiple regression analysis, interactions, polynomials, Gauss-Markov assumptions and asymptotics, heteroskedasticity and diagnostics, models for binary outcomes, naive Bayes classifiers, models for ordered data, models for nominal data, first difference analysis, factor analysis, and a review of models that build upon OLS. Prerequisite: introductory statistics course that includes linear regression. There is a statistical computer lab session with this course: QMSS G4017 -001 -DATA ANALYSIS FOR SOC SCI
This course is meant to train students in advanced quantitative techniques in the social sciences. Statistical computing will be carried out in R. Topics include: review of multiple/linear regression, review of logistic regression, generalized linear models, models with limited dependent variables, first differences analysis, fixed effects, random effects, lagged dependent variables, growth curve analysis, instrumental variable and two stage least squares, natural experiments, regression discontinuity, propensity score matching, multilevel models or hierarchical linear models, and text-based quantitative analysis.
This course is designed to expose students in the QMSS degree program to different methods and practices of social science research. Seminar presentations are given on a wide range of topics by faculty from Columbia and other New York City universities, as well as researchers from private, government, and non-profit settings. QMSS students participate in a weekly seminar. Speakers include faculty from Columbia and other universities, and researchers from the numerous corporate, government, and non-profit settings where quantitative research tools are used. Topics have included: Now-Casting and the Real-Time Data-Flow; Art, Design & Science in Data Visualization; Educational Attainment and School Desegregation: Evidence from Randomized Lotteries; Practical Data Science: North American Oil and Gas Drilling Data.
This course gives students two credits of academic credit for the work they perform in such an social science oriented internships.
The class is roughly divided into three parts: 1) programming best practices and exploratory data analysis (EDA); 2) supervised learning including regression and classification methods and 3) unsupervised learning and clustering methods. In the first part of the course we will focus writing R programs in the context of simulations, data wrangling, and EDA. Supervised learning deals with prediction problems where the outcome variable is known such as predicting a price of a house in a certain neighborhood or an outcome of a congressional race. The section on unsupervised learning is focused on problems where the outcome variable is not known and the goal of the analysis is to find hidden structure in data such as different market segments from buying patterns or human population structure from genetics data.
The course is designed to teach students the foundations of network analysis including how to manipulate, analyze and visualize network data themselves using statistical software. We will focus on using the statistical program R for most of the work. Topics will include measures of network size, density, and tie strength, measures of network diversity, sampling issues, making ego-nets from whole networks, distance, dyads, homophily, balance and transitivity, structural holes, brokerage, measures of centrality (degree, betweenness, closeness, eigenvector, beta/Bonacich), statistical inference using network data, community detection, affiliation/bipartite networks, clustering and small worlds; positions, roles and equivalence; visualization, simulation, and network evolution over time.
This course is designed to the interdisciplinary and emerging field of data science. It will cover techniques and algorithms for creating effective visualizations based on principles from graphic design, visual art, perceptual psychology, and cognitive science to enhance the understanding of complex data. Students will be required to complete several scripting, data analysis and visualization design assignments as well as a final project. Topics include: data and image models, social and interactive visualizations, principles and designs, perception and attention, mapping and cartography, network visualization. Computational methods are emphasized and students will be expected to program in R, Javascript, D3, HTML and CSS and will be expected to submit and peer review work through Github. Students will be expected to write up the results of the project in the form of a conference paper submission.
An introduction to Bayesian statistical methods with applications to the social sciences. Considerable emphasis will be placed on regression modeling and model checking. The primary software used will be Stan, which students do not need to be familiar with in advance. Student in the course will access the Stan library via R, so some experience with R would be helpful but not required. Any QMSS student is presumed to have sufficient background. Any non-QMSS students interested in taking this course should have a comparable background to a QMSS student in basic probability. Topics to be covered are a review of calculus and probability, Bayesian principles, prediction and model checking, linear regression models, Bayesian data collection, Bayesian calculations, Stan, the BUGS language and JAGS, hierarchical linear models, nonlinear regression models, missing data, stochastic processes, and decision theory.
Prerequisites: Undergraduate Statistics
This course introduces students to basic spatial analytic skills. It covers introductory concepts and tools in Geographic Information Systems (GIS) and database management. As well, the course introduces students to the process of developing and writing an original spatial research project. Topics to be covered include: social theories involving space, place and reflexive relationships; social demography concepts and databases; visualizing social data using geographic information systems; exploratory spatial data analysis of social data and spatially weighted regression models, spatial regression models of social data, and space-time models. Use of open-source software (primarily the R software package) will be taught as well.
This course is intended to provide a detailed tour on how to access, clean, “munge” and organize data, both big and small. (It should also give students a flavor of what would be expected of them in a typical data science interview.) Each week will have simple, moderate and complex examples in class, with code to follow. Students will then practice additional exercises at home. The end point of each project would be to get the data organized and cleaned enough so that it is in a data-frame, ready for subsequent analysis and graphing. Therefore, no analysis or visualization (beyond just basic tables and plots to make sure everything was correctly organized) will be taught; and this will free up substantial time for the “nitty-gritty” of all of this data wrangling.
This class analyzes the role of mediation in religious practice. Reading theories of media and of religion we will examine how transformations in media technology shift the ways in which religion is encoded into semiotic forms, how these forms are realized in performative contexts and how these affect the constitution of religious subjects and religious authority. Topics include word, print, image, and sound in relation to Islam, Pentecostalism, Buddhism and animist religions
Prerequisites: At least one semester of calculus.
A calculus-based introduction to probability theory. 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.
Prerequisites: STAT GR5203 or the equivalent, and two semesters of calculus.
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 GR5203 and GR5204 or the equivalent.
Theory and practice of regression analysis, 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. Extensive use of the computer to analyse data.
Corequisites: STAT GR5204 and GR5205 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.
Corequisites: GR5203 or the equivalent.
Review of elements of probability theory. Poisson processes. Renewal theory. Wald's equation. Introduction to discrete and continuous time Markov chains. Applications to queueing theory, inventory models, branching processes.