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 masters thesis may count towards an MS degree , and additional research points cannot be counted. On completion of all masters 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
Full time research for doctoral students.
Prerequisites: JPNS W4007-W4008 or the equivalent, and the instructors 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
A course on contemporary transatlantic economic relations with particular emphasis on the US-EU dimension. Topics include: macroeconomic responses to the Covid-19 crisis and lessons learned from the financial crises of 2008 and 2010; transatlantic implications of Brexit, proposed US-UK and US-EU trade agreements, European responses to Trump Administration trade policy; US-EU differences in relations with China; the digital economy and data privacy; European competition and tax policy toward U.S. high tech firms; dollar-euro diplomacy and the international roles of the dollar and euro; the economic dimension to transatlantic security.
Sec. 1: Ethnomusicology; Sec. 2: Historical Musicology; Sec. 3: Music Theory; Sec. 4: Music Cognition; Sec. 5: Music Philosophy.
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. In matching markets, we have a set of agents that want to sell/buy/exchange goods. Each agent has a preference pattern describing how much she likes other agents or goods, and the goal is to find an assignment of goods to agents as to maximize an objective function, or simply as to satisfy certain constraints. Matching markets arise, for instance, in school allocation, job placement, and refugee resettlement problems.
Matching markets go beyond classical matching problems, where typically a feasible solution is easy to find. Hence, classical algorithmic techniques need to be integrated with new ideas. In this class, we will see descriptions and algorithms for many matching markets, starting from the classical case of stable matchings and then exploring more modern and sophisticated solution concepts. Our point of view will mainly be that of an optimizer, i.e., we will wish to find provably good solutions in a provably short amount of time.
Prerequisites: Faculty adviser's permission. In matching markets, we have a set of agents that want to sell/buy/exchange goods. Each agent has a preference pattern describing how much she likes other agents or goods, and the goal is to find an assignment of goods to agents as to maximize an objective function, or simply as to satisfy certain constraints. Matching markets arise, for instance, in school allocation, job placement, and refugee resettlement problems.
Matching markets go beyond classical matching problems, where typically a feasible solution is easy to find. Hence, classical algorithmic techniques need to be integrated with new ideas. In this class, we will see descriptions and algorithms for many matching markets, starting from the classical case of stable matchings and then exploring more modern and sophisticated solution concepts. Our point of view will mainly be that of an optimizer, i.e., we will wish to find provably good solutions in a provably short amount of time.
This intensive 15-week course during the first semester of the DPT curriculum provides students with detailed coverage of human anatomy through lecture and cadaver dissection. The focus of the course is on structure and the integral relationship between structure and function. A comprehensive understanding of normal structure and function provides the foundation for understanding abnormal structure and function. Both the lecture and laboratory components of the course are critical to success in the program and as a competent entry-level clinician. This course uses a regional approach to study the gross anatomical structures of the human body, with emphasis on the musculoskeletal system and its associated vascular and neural elements. The structure of synovial joints and their soft tissue support systems will be addressed. The thoracic, abdominal, and pelvic cavities will be explored. Aspects of structure and function as they relate to clinical correlates will be highlighted throughout the course.
Course changes from 1.5 to 3.00
Course changes from 1.5 to 3.00
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
The first portion of this course provides an introductory-level mathematical treatment of the fundamental principles of probability theory, providing the foundations for statistical inference. Students will learn how to apply these principles to solve a range of applications. The second portion of this course provides a mathematical treatment of (a) point estimation, including evaluation of estimators and methods of estimation; (b) interval estimation; and (c) hypothesis testing, including power calculations and likelihood ratio testing.
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.
Prerequisite: Public Health P6104, P8100 and a working knowledge of calculus. An introduction to the application of statistical methods in survival analysis, generalized linear models, and design of experiments. Estimation and comparison of survival curves, regression models for survival data, log-linear models, logit models, analysis of repeated measurements, and the analysis of data from blocked and split-plot experiments. Examples drawn from the health sciences.
With the pilot as a focal point, this course explores the opportunities and challenges of telling and sustaining a serialized story over a protracted period of time with an emphasis on the creation, borne out of character, of the quintessential premise and the ongoing conflict, be it thematic or literal, behind a successful series.
Early in the semester, students may be required to present/pitch their series idea. During the subsequent weeks, students will learn the process of pitching, outlining, and writing a television pilot, that may include story breaking, beat-sheets or story outline, full outlines, and the execution of either a thirty-minute or hour-long teleplay. This seminar may include reading pages and giving notes based on the instructor but may also solely focus on the individual process of the writer.
Students may only enroll in one TV Writing workshop per semester.
This course provides an overview of anesthetics, adjuvants, and critical care medications commonly used in anesthesia practice with emphasis on application of theoretical foundations.
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 16 week course during the first semester of the DPT curriculum provides students with a theoretical basis for understanding the body's physiological responses to exercise. Emphasis will be placed upon the practical application of exercise physiology principles in physical therapy practice. This course is designed to provide an integrative view of human exercise physiology. This class will cover the acute and chronic adaptations to exercise including the cardiovascular, respiratory, neuromuscular and metabolic systems in relation to acute and chronic exercise.
course decription
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
Proseminar for Graduate Students only. This graduate class, taught in German, will explore how "rumor" and "world literature" emerged as two ostensibly opposite but closely related models to conceptualize the accelerated circulation of texts in print media around 1800. Specific attention will be paid to texts by Herder, Kant, Goethe, Büchner, Marx, Kleist, and others. We will also explore the parallels between new print formats in the nineteenth century and social media today.
Substantive questions in empirical scientific and policy research are often causal. This class will introduce students to both statistical theory and practice of causal inference. As theoretical frameworks, we will discuss potential outcomes, causal graphs, randomization and model-based inference, causal mediation, and sufficient component causes. We will cover various methodological tools including randomized experiments, matching, inverse probability weighting, instrumental variable approaches, dynamic causal models, sensitivity analysis, statistical methods for mediation and interaction. We will analyze the strengths and weaknesses of these methods. The course will draw upon examples from social sciences, public health, and other disciplines. The instructor will illustrate application of the approaches using R/SAS/STATA software. Students will be evaluated and will deepen the understanding of the statistical principles underlying the approaches as well as their application in homework assignments, a take home midterm, and final take home practicum.
This is the first of a 2-part series. This is a comprehensive lecture/laboratory/seminar course in the first semester of the DPT curriculum which establishes foundational knowledge of normal human movement. Fundamental biomechanical and kinesiological principles, including kinematics and kinetics, of human movement are integrated with knowledge of anatomical structures under normal and pathological conditions. Each joint complex of the human body is scrutinized and integrated with a regional approach to human movement. The course begins with an introduction to the mechanical properties of connective tissue and muscle mechanics. Essential principles of biomechanics including gravity, friction, leverage, composition and resolution of internal and external forces in movement production are presented. These topics are integrated into kinesiology survey of the human body organized by anatomical region. Specific attention will be given to the relationship between anatomical structure and kinesiological function, joint classification, osteokinematics, arthrokinematics, muscle and ligament function, kinematic chains and alignment. There is an emphasis on kinematics and muscle function in normal functional movements. Pathological movement is introduced. The laboratory component highlights surface anatomy palpation with emphasis on structure identification, positioning, body mechanics and hand placement. Optional seminar classes are small group integrative discussion sessions in which students who wish to attend come with prepared questions on course material. Both lecture and laboratory incorporate observation and analysis of normal movement of the limbs and trunk, and selected examples.
The purpose of this course is to provide a comprehensive and in-depth background in acute and critical care pharmacotherapy. This course will address the pharmacology and appropriate clinical use of agents used in the treatment of selected acute disorders found in acutely/critically ill patients. Recent advances in pharmacotherapy, personalized management strategies, and controversial issues will be included and emphasized.
FILM AF 8131 Intro to Pilot: Comedy
With the comedy pilot as a focal point, (and by comedy, that could also include dramedies like
Transparent
and
Insecure
) this course explores the opportunities and challenges of telling and sustaining a serialized half-hour story over a protracted period of time with an emphasis on the creation, borne out of character, of the quintessential premise and the ongoing conflict, be it thematic or literal, behind a successful series.
Early in the semester, students may be required to present/pitch their series idea. During the subsequent weeks, students will learn the process of pitching, outlining, and writing a television pilot, that may include story breaking, beat-sheets or story outline, full outlines, and the execution of a thirty-minute teleplay. This seminar may include reading pages and giving notes based on the instructor but may also solely focus on the individual process of the writer.
Students may only enroll in one TV Writing workshop per semester.
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 seminar investigates the art and archaeology of the Sumerian city-states in Mesopotamia, focusing on sculpture, architecture, material culture, and the historical scholarship and scholarly debates regarding this era. Advanced knowledge of the ancient Near East is expected of seminar participants. The seminar readings will consist primarily of archaeological site reports and historical texts, as well as secondary literature on the third millennium BC accompanied by some readings in archaeological and critical theories. Students will be expected to research and compile the bibliographies for each of the Early Dynastic sites for their presentations and final papers.
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.