Research in an area of Mechanical Engineering culminating in a verbal presentation and a written thesis document approved by the thesis advisor. Must obtain permission from a thesis advisor to enroll. Recommended enrollment for two terms, one of which can be the summer. A maximum of 6 points of master's thesis may count towards an MS degree , and additional research points cannot be counted. On completion of all master's thesis credits, the thesis advisor will assign a single grade. Students must use a department recommended format for thesis writing.
This is a Law School course. For more detailed course information, please go to the
Law School Curriculum Guide
at:
http://www.law.columbia.edu/courses/search
Prerequisites:
JPNS W4007-W4008
or the equivalent, and the instructor’s permission.
Prerequisites:
PHYS G6037-G6038
.
Relativistic quantum mechanics and quantum field theory.
This is a Law School course. For more detailed course information, please go to the
Law School Curriculum Guide
at:
http://www.law.columbia.edu/courses/search
Prerequisites: Pre-requisites: (INAF U6301 or INAF U6022 or INAF U6045) and SIPA U6200
This course extends the valuation techniques introduced in INAF U6301 by considering several issues in corporate finance that are of particular interest to international affairs students: leverage and valuation techniques: WACC, APV and FTE; the international cost of capital and international capital budgeting; the analysis of real options. The course will combine lecture time and in-class case discussions. The goal of the course is to provide students with an understanding of both sound theoretical principles of valuation and finance and the practical environment in which financial decisions are made.
A course on contemporary transatlantic economic relations with particular emphasis on the US-EU dimension. Topics include: the proposed Transatlantic Trade and Investment Partnership (TTIP); implications of the UK referendum on Brexit; contrasting monetary and fiscal responses to the 2008 crisis; dollar-euro diplomacy and the international roles of the dollar and euro; European competition and MNC taxation policies toward high tech companies such as the so-called “Frightful Five” firms Amazon, Apple, Facebook, Google (Alphabet), and Microsoft; secular stagnation and disparate U.S.-EU long term growth prospects; relative macroeconomic performance and why most of Europe can’t get its unemployment levels down to U.S. levels; the economic dimension to transatlantic security arrangements
Designed for first-year graduate students. An introduction to the conceptual and practical tools of literary research.
Sec. 1: Ethnomusicology; Sec. 2: Historical Musicology; Sec. 3: Music Theory; Sec. 4: Music Cognition; Sec. 5: Music Philosophy.
Sec. 1: Ethnomusicology; Sec. 2: Historical Musicology; Sec. 3: Music Theory; Sec. 4: Music Cognition; Sec. 5: Music Philosophy.
Want to learn about the issues and policies that are particularly relevant for the growth of the private sector in emerging markets? Want to discuss these with guest speakers from international organizations? Want to produce a report identifying emerging market vulnerability to economic troubles? Have you taken a course on macroeconomics? Then this course is for you. As a former World Bank country economist I will share with you my work experiences and, while reviewing some basic macroeconomic principles and discussing case studies, I will help you produce a macro-financial report on a particular emerging market economy similar to those produced by financial institutions and international organizations do (e.g., International Monetary Funds surveillance country reports or Article IV reports).
Prerequisite: Public Health P6103 or P6104. The study of linear statistical models. Regression and correlation with one independent variable. Partial and multiple correlation. Multiple and polynomial regression. Single factor analysis of variance. Simple logistic regression
Prerequisites: Faculty adviser's permission.
Selected topics of current research interest. May be taken more than once for credit.
Prerequisites: Faculty adviser's permission.
Selected topics of current research interest. May be taken more than once for credit.
This course will introduce graduate students in Religion to several qualitative, empirical research methods and related epistemological and ethical issues. In addition to introducing basic research techniques, we will also deal with several issues of central importance to many scholars who conduct ethnographic research in religion, including representations of religious agents in ethnographic writing, interpreting testimony and conversion narratives, and integrating historical and textual material and interpretations into ethnographic writing.
Constitutionalism, Sovereignty and Religion.
One of the greatest challenges to liberal, democratic and republican constitutionalism in the 21st century is posed by controversy over the relation between religion and the state. This course will explore alternative ways in which state and religion in constitutional democracies are and should be articulated. We will treat Federalism and Pluralism as alternative strategies for the management of the problem of difference, (particularly religious difference,) and for decentralizing the modern state. First, we will explore the common origins of both in feudal relationships, church self-government and the state of the estates. Second, we reconstruct the origins of the modern state and its doctrine of sovereignty, as answers to perceived threats in pluralist fragmentation, and imperial and papal trans-polity organization. Third, we will compare the new alternatives of centralized territorial state and decentralized federations. Using Tocqueville we will present the American design combining federalism and pluralism. Fourth we will present some revivals, successful or attempted of federalism and pluralism in the contemporary world. Fifth, we will consider four case studies: Turkey (imperial pluralism and republican centralization); Israel (pluralism without federalism), India (centralized federalism and partial pluralism) and Canada (federalism and multi-culturalism).
This course will present an overview of the basic techniques, ideas and the latest results on a number of topics related to high-dimensional statistical inferences. These include, among others, dimension reduction, inferences for high dimensional linear regression, large covariance estimation and graphical models, estimation of low rank matrices and tensors.
Prerequisite: Public Health P6104 and working knowledge of calculus. Fundamentals, random variables, and distribution functions in one or more dimensions: moments, conditional probabilities, and densities; Laplace transforms and characteristic functions. Infinite sequences of random variables, weak and strong large numbers: central limit theorem
Prerequisites: SIPA U4200 or SIPA U6400, SIPA U6500, & INAF U6301
This course will examine the historical behavior, impact and potential of the local financial sector as a vehicle for enhancing sustainable growth in developing countries. We will examine the obstacles to realizing the sector's sustainable development potential posed by ineffective banks and financial institutions, underdeveloped capital markets and inadequate or incomplete regulation. We will review the enhancements in banking techniques and analytics, and regulation that may make realization of this potential more attainable as well as the ramifications of the post-2008 Global Financial crisis. Finally, we will examine the role of the State in Financial activities and the Intersect between the efforts of International Financial Institutions (Development Banks & the IMF) and local financial institutions in sustainable development and the alleviation of extreme poverty
Prerequisite: Public Health P8104 and P8109 or the equivalent. Clinical trials concerning chronic disease, comparison of survivorship functions, parametric models for patterns of mortality and other kinds of failures, and competing risks.
Prerequisites: the instructor's permission.
This is a Law School course. For more detailed course information, please go to the
Law School Curriculum Guide
at:
http://www.law.columbia.edu/courses/search
This is a Law School course. For more detailed course information, please go to the
Law School Curriculum Guide
at:
http://www.law.columbia.edu/courses/search
This is a Public Health Course. Public Health classes are offered on the Health Services Campus at 168th Street. For more detailed course information, please go to Mailman School of Public Health Courses website at http://www.mailman.hs.columbia.edu/academics/courses
Prerequisites: Public Health P8109 and P8111.
An examination of a generalization of the classical regression model. Log-linear models for count data, probit and logit models, analysis of data with discrete ordered responses, and analysis of continuous data where the variability increases with the mean. Survival analysis and model checking are discussed as time allows.
Prerequisites: Public Health P8104 and P8109 or their equivalents. An introduction to sequential analysis as it applies to statistical problems in clinical trials, hypothesis testing, selection, and estimation. Emphasis placed on a study of procedures, operating characteristics, and problems of implementation, rather than mathematical theory. Overview of currently available sequential designs and the advantages and disadvantages they offer in comparison with classical designs.
This is a Law School course. For more detailed course information, please go to the
Law School Curriculum Guide
at:
http://www.law.columbia.edu/courses/search
Prerequisite: Public Health P6104
or the equivalent. Fundamental methods and concepts of the randomized clinical trial; protocol development, randomization, blindedness, patient recruitment, informed consent, compliance, sample size determination, cross-overs, collaborative trials. Each student prepares and submits the protocol for a real or hypothetical clinical trial.
This is an advanced course in development economics, designed for second-year SIPA students. The course will cover both seminar papers and recent research on development microeconomics. The goal is to introduce students to the literature and familiarize them with the main research methods and questions in the field. After an introduction on the big macro questions and motivating facts, including some quantitative tools and a discussion on poverty traps, the course will focus on key topics in the microeconomics of development. We will discuss the different hypotheses that can explain low investment levels in human capital (nutrition, health, education, entrepreneurship programs) and on agricultural inputs. Then, we will focus on the most recent developments related to microfinance (credits, savings and insurance). The course will also include papers at the intersection between behavioral economics and development, with focus on self-control problems. Coursework includes empirical exercises, requiring some programming in Stata. Material discussed during class presumes knowledge of calculus and quantitative methods.
Prerequisites: At least one course each in probability and genetics and the instructor's permission.
Fundamental principles of population genetics, with emphasis on human populations. Genetic drift; natural selection; nonrandom mating; quantitave genetics; linkage analysis; and applications of current technology (e.g., SNPs). Students will master basic principles of population genetics and will be able to model these principles mathematically/statistically.