Prerequisites:
PHYS W3003
,
PHYS W3008
,
PHYS W4021
.
PHYS W4023
would be helpful but is not required. Students should have some familiarity with tools for graphical presentation and numeric problem solving such as Mathematica and/or MatLab.
This course is intended as an introduction to string theory for undergraduates. No advanced graduate-level preparation is assumed, and the material will be covered at (no higher than) the advanced undergraduate level. Advanced topics such as supersymmetry, T-duality, and covariant quantization will not be covered. The focus will be on the dynamics of classical and quantum mechanical strings, with an emphasis on integrating undergraduate material in classical mechanics, relativity, electrodynamics and quantum mechanics.
With the Dalai Lama's marked interest in recent advances in neuroscience, the question of the compatibility between Buddhist psychology and neuroscience has been raised in a number of conferences and studies. This course will examine the state of the question, look at claims made on both sides, and discuss whether or not there is a convergence between Buddhist discourse about the mind and scientific discourse about the brain.
Prerequisites: SIPA U4010 or equivalent experience
This course focuses on using Microsoft Excel to collect, explore and derive actionable information from structured and semi-structured data. Topics include importing data from external sources, parsing and cleaning raw data, refining data structure, and constructing and leveraging PivotTables. Thecourse aims to develop highly sought-after skills that allow for direct and sophisticated analysis of sizable and disparate data sets. The course is open to SIPA students only. Instructor approval is required: students will be waitlisted in SSOL and contacted by the instructor. Part of the Excel at SIPA course series. Deadline to drop this course is one week prior to the start date of the course. A notation of "W" will be assigned if requests to drop are not made by this deadline.
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
A seminar exploring reincarnation, resurrection, and their contemporary cyber-relatives, uploading and simulation. We'll explore Abrahamic, Amerind, Chinese, Greek, and Indian accounts, the Tibetan Buddhist reincarnation tradition and methodology in detail, and contemporary research on reincarnation, near-death, and out-of-body experiences. We will then turn to contemporary developments in science, religion, and philosophy concerning uploading consciousness to computer media and the probability that we are living a simulation. We will investigate whether religious traditions are consistent with or expressive of simulated reality, and the application of karma to all of the above.
Prerequisites:
CHNS G4015
or the equivalent.
Implements a wide range of reading materials to enhance the student’s speaking and writing as well as reading skills. Supplemented by television broadcast news, also provides students with strategies to increase their comprehension of formal style of modern Chinese. CC GS EN CE
Prerequisite: ELEN E3401 or the equivalent. Typical experiments are in the areas of plasma physics, microwaves, laser applications, optical spectroscopy physics, and superconductivity.
Prerequisites:
CHNS W4017
or the equivalent.
This is a non-consecutive reading course designed for those whose proficiency is above 4th level. See Admission to Language Courses. Selections from contemporary Chinese authors in both traditional and simplified characters with attention to expository, journalistic, and literary styles.
Prerequisites:
JPNS W4017
or the equivalent.
Sections 1 & 2: Readings of advanced modern literary, historical, political, and journalistic texts, and class discussions about current issues and videos. Exercises in scanning, comprehension, and English translation. Section 3: Designed for advanced students interested in developing skills for reading and comprehending modern Japanese scholarship.
Prerequisites:
PHYS W4021
and
W4023
, or the equivalent.
Introduction to solid-state physics: crystal structures, properties of periodic lattices, electrons in metals, band structure, transport properties, semiconductors, magnetism, and superconductivity.
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.
Introduces the evolution of Chinese language. It reveals the major changes in Chinese sound, writing and grammar systems, and social and linguistic factors which caused these changes. CC GS EN CE GSAS
No previous background in marketing is required for the course. Introduction to the basic concepts of marketing. Students develop an understanding of, and the decision-making capabilities for, formulating marketing strategies for the complex situations that characterize real-life marketing problems.
No previous background in marketing is required for the course. Introduction to the basic concepts of marketing. Students develop an understanding of, and the decision-making capabilities for, formulating marketing strategies for the complex situations that characterize real-life marketing problems.
To expose engineers, scientists and technology managers to areas of the law they are most likely to be in contact with during their career. Principles are illustrated with various case studies together with active student participation.
Survey of the major topics in basic immunology with an emphasis on the molecular basis for immune recognition and regulation.
Second Term. Explores molecular and cellular mechanisms of nutrient action. Six major foci of modern nutritional science. These include the actions of nutrients in transcriptional regulation, in signaling pathways, on intra- and extracellular trafficking, in assuring normal development, in the maintance of antioxidant defences and nutrient/gene interations.
This seminar is free and open to the public. Please contact qmss@columbia.edu to rsvp if you are not QMSS and interested in attending.
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.
Prerequisites: CIEN E3125 or the equivalent.
Bridge design history, methods of analysis, loads: static, live, dynamic. Design: allowable stress, ultimate strength, load resistance factor, supply/demand. Steel and concrete superstructures: suspension, cable stayed, prestressed, arches. Management of the assets, life-cycle cost, expected useful life, inspection, maintenence, repair, reconstruction. Bridge inventories, condition assessments, data acquisition and analysis, forecasts. Selected case histories and field visits.
This course explors the principal modes, media, and contexts of visual culture in Japanese Buddhist history. Through the analysis of selected case studies, the course examines of the modalities of perception, materiality, and reception that distinguish the form and function of visual media in Japanese Buddhist contexts. Students are expected to have completed preliminary coursework in relevant areas of East Asian history, religion, or art history.
Prerequisites:
PHYS W4021
.
Formulation of quantum mechanics in terms of state vectors and linear operators, three-dimensional spherically symmetric potentials, the theory of angular momentum and spin, time-independent and time-dependent perturbation theory, scattering theory, and identical particles. Selected phenomena from atomic physics, nuclear physics, and elementary particle physics are described and then interpreted using quantum mechanical models.
This seminar is free and open to the public. Please contact qmss@columbia.edu to rsvp if you are not QMSS and interested in attending.
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.
In this one-day weekend workshop, students will research, design, prototype and test a mobile app for the public good. You'll learn about user-centered design, and how to quickly test your ideas to hone and refine them. At the end of the day, you'll have a clickable prototype and a case study that documents your process, and demonstrably contributes to a mission-based cause.
This course is offered through the School of Professional Studies.
The purpose of this course is to provide an overview of trends and best practices in corporate communications relating to sustainability, with a particular focus on global sustainability reporting frameworks and green marketing communications. It is designed for those who hold/will hold positions in organizations with responsibilities for communicating the sustainability goals, challenges and achievements, as well as accurately and honestly communicating the environmental aspects of an organization's products and services. Increasingly, large corporations are creating c-suite roles or dedicated departments to oversee this function. More typically, multiple functions contribute information such as: Corporate Communications, Marketing, Community Affairs, Public Policy, Environmental Health & Safety, R&D, Facilities, Operations and Legal. Benefits of reporting range from building trust with stakeholders, and uncovering risks and opportunities; to contributing to stronger long-term business strategy, and creating new products and services.
The purpose of this course is to introduce students to the basic issues and problems in the study of early Chinese civilization, some theoretical and others methodological. Through the review of a long series of debates the course offers a quick entrance both to this early period of history and to these studies. Organized around problems, the course encourages critical thinking and contesting arguments and helps the students weigh different positions addressing the problems. By doing so, the course guides the students to search for frontline questions and to probe possible ways to solve the problems. The course deals with both the written records (inscriptional and textual) and the material evidence, and the student can well expect this course to serve as also updates of the most fascinating archaeological discoveries in China made in the past decades. The course is designed as an upper-level undergraduate and MA course; therefore, it is recommended that undergraduate students should take "ASCE V2359: Introduction to East Asian Civilizations: China" before participating in this course.
Prerequisites:
BIOL C2005-C2006
or the equivalent.
Corequisites: Recommended: one term of organic chemistry.
Students may receive credit for W3031 or C3032, but not both due to overlap in course content. General course in genetics dealing with principles of gene structure, function, and transmission. Historical development and experimental basis of current knowledge are stressed. 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
Introduction to Middle Eastern cinema as a unique cultural product in which artistic sensibilities are mobilized to address, and thus reflect, significant aspects of contemporary society, Arab, Israeli, Turkish, and Iranian cinema. Cultural and collective expressions of some enduring concerns in modern Middle Eastern societies. No P/D/F or R credit is allowed for this class.
Prerequisites: three terms of calculus and linear algebra or four terms of calculus.
Fourier series and integrals, discrete analogues, inversion and Poisson summation formulae, convolution. Heisenberg uncertainty principle. Stress on the application of Fourier analysis to a wide range of disciplines.
This course provides an introduction to historical and contemporary concepts and issues in the U.S. criminal justice system, including state violence; the evolution of modern policing; inequality and criminal justice policy; drug policy as urban policy; and the development of mass incarceration and the “carceral continuum.” The writing component to this course is a 20-25 page research paper on a topic to be developed in consultation with the instructor. This course has been approved for inclusion in the African-American Studies and History undergraduate curricula.
This course is offered through the School of Professional Studies.
This course provides students with the knowledge and skills to account for and manage greenhouse gas (GHG) emissions, which contribute to global climate change. The course will address the importance of using estimation techniques to create GHG emissions inventories for organizations as well as for economic activities, such as transportation. The course will provide students an understanding of the protocols that that govern the practice of carbon accounting, and the standards by which GHG emissions inventories are verified and disclosed to the public. Moreover, the course will help students understand how to use carbon accounting as the basis for developing and prioritizing emissions reduction strategies for the purpose of mitigating climate change risks.
This undergraduate seminar course examines the historical experiences of people of African descent in Latin America and the Caribbean (often called “Afro-Latin America”). The guiding questions of this course are: What is Afro-Latin America? Where is it? How can we write the histories of African descended peoples in the region we call “Latin America”? Can the histories of Africans and their descendants be contained within the confines of “nation”? Are there alternative frameworks (transnational and/or Diasporic) that can better enhance our understanding of these histories? While the course will begin in the slavery era, most of our attention will focus on the histories of Afro-Latin Americans after emancipation. Topics we will explore include: the particularities of slavery in the Americas, the Haitian Revolution and its impact on articulations of race and nation in the region, debates on “racial democracy,” the relationship between gender race, and empire, and recent attempts to write Afro-Latin American histories from “transnational” and “diaspora” perspectives. While historians have written most of the work we will read in this course, we will also engage the works of anthropologists and sociologists who have also been key contributors to this scholarship. Thus, the course has a three-fold objective: 1) To deepen our understanding of the diverse histories of Africans and their descendants in the region. 2) To continually probe the ongoing tension between national and transnational processes that is embedded in much of this scholarship. 3) To explore alternative frameworks that might enhance our understanding of the histories of people of African descent in the region.
Prerequisites: BUSI K4001 Intro to Finance and BUSI K4003 Corporate Finance or Professor Approval required
Students will learn about the valuation of publicly traded equity securities. By the end of the semester students will be able to perform fundamental analysis ("bottom-up," firm-level, business and financial analysis), prepare pro forma financial statements, estimate free cash flows and apply valuation models.
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Professional Development is a half-credit course that is mandatory for all MIA and MPA students. The course is offered by the Office of Career Services (OCS) and teaches skills needed to compete effectively in the international and public affairs job markets. Topics such as résumés, cover letters, job search tactics, LinkedIn, successful interviewing, networking, and salary negotiation are covered. Professional business attire required. Private Sector: Sections 001, 004, 005. Public Sector: Sections 002, 003, 006
Prerequisites:
MATH V1102-MATH V1202
and
MATH V2010
, or the equivalent.
The second term of this course may not be taken without the first. Groups, homomorphisms, rings, ideals, fields, polynomials, field extensions, Galois theory.
This graduate seminar explores the representational, imaginative, and analytical connections between cinema and the urban experience. Theories of modernity frequently hold up the city as the most emblematic site for locating the modern (eg. Benjamin, Simmel, Kracaueur). Cinema, too, as art and apparatus, can be said to have embodied the ‘shocks’ of the modern (Singer, Gunning, Eisenstein). This course introduces students to a significant corpus of literature on cinema and mediated urbanisms. By insisting on a comparative approach, the seminar seeks to put existing theories of cinematic urbanisms that pertain to Berlin, Paris, or Los Angeles, into dialogue with ‘other’ cinematic sites such as Mumbai, Algiers, Mexico City, Istanbul, Kuala Lumpur, or Dakar. Open to qualified undergraduates with instructor permission. No P/D/F or R credit is allowed for this class.
Prerequisites:
MATH V1102-MATH V1202
and
MATH V2010
, or the equivalent.
The second term of this course may not be taken without the first. Groups, homomorphisms, rings, ideals, fields, polynomials, field extensions, Galois theory.
Prerequisites:
MATH V2010
and
MATH W4041
or the equivalent.
Finite groups acting on finite sets and finite dimensional vector spaces. Group characters. Relations with subgroups and factor groups. Arithmetic properties of character values. Applications to the theory of finite groups: Frobenius groups, Hall subgroups and solvable groups. Characters of the symmetric groups. Spherical functions on finite groups.
This course will explore the connections between narrative, health, and social justice. In doing so, it broadens the mandate of narrative medicine – challenging each of us to bring a critical, self-reflective eye to our scholarship, teaching, practice, and organizing. We will examine such questions as: How do power and hierarchy – on an interpersonal, institutional, cultural, social, or political scale - impact the work of Narrative Medicine? How can we ‘read’ multiple, simultaneous narratives – ie. the individual and the sociopolitical? What are the intersections of Narrative Medicine with health advocacy and activism on local, national, and global levels? How can the pedagogy of Narrative Medicine enact social justice in health care? In other words, how do we teach Narrative Medicine and why? Finally, how are the stories we tell, and are told, manifestations of social injustice? How can we transform such stories into narratives of justice, health, and change?
Prerequisites: the instructor's permission.
The laboratory has 13 available individual experiments, of which two are required per 2 points. Each experiment requires two (four-hour) laboratory sessions. Registration is limited by the laboratory capacity. May be repeated for credit with different experiment selection. Experiments (classical and modern) cover topics in electricity, magnetism, optics, atomic physics, and nuclear physics.
Prerequisites: MATH W4051 Topology and / or MATH W4061 Introduction To Modern Analysis I (or equivalents)
Recommended (can be taken concurrently): MATH V2010 linear algebra, or equivalent
The study of algebraic and geometric properties of knots in R^3, including but not limited to knot projections and Reidemeister's theorm, Seifert surfaces, braids, tangles, knot polynomials, fundamental group of knot complements. Depending on time and student interest, we will discuss more advanced topics like knot concordance, relationship to 3-manifold topology, other algebraic knot invariants.
Introducing students to a series of methods, methodological discussions, and questions relevant to the focus of the Masters program: urban sociology and the public interest. Three methodological perspectives will frame discussions: analytical sociology, small-n methods, and actor-network theory.