INDEPENDENT STUDY

Prerequisites: Permission of the instructor and Department Chair.
Senior majors who wish to substitute Independent Study for one of the two required senior seminars should consult the chair. Permission is given rarely and only to students who present a clear and well-defined topic of study, who have a department sponsor, and who submit their proposals well in advance of the semester in which they will register. There is no independent study for screenwriting or film production.

• Department: English @Barnard
• Instructor: Andrew L Lynn
  CULPA: 17 Info
• Instructor: Yvette Christianse
  Wikipedia Info
• Instructor: Mary Gordon
  CULPA: 21 Wikipedia Info
• Instructor: Timea Szell
  CULPA: 14 Info
• 1-4 points

FIELDWORK

Prerequisites: Obtained internship and approval from faculty advisor.
Only for IEOR undergraduate students who need relevant work experience as part of their program of study.  Final reports are required.  This course may not be taken for pass/fail credit or audited.

• Department: Industrial Engineering and Operations Research
• 1-1.5 points

SENIOR HONORS SEMINAR

Prerequisites: admission to the departmental honors program.
A two-term seminar for students writing the senior honors thesis.

• Department: Political Science
• T 4:10 p.m.-6 p.m.
• Instructor: John Huber
  CULPA: 15 h-index: 31 Info
• 4 points

HARLEM AND MOSCOW

Prerequisites: NA
The Russian Revolution of 1917 is widely acknowledged as a watershed moment in the global struggle for worker’s rights, but it also played a considerable role in the fights against racism and colonialism (Lenin considered both tools of capitalist exploitation). In Soviet Russia’s project to make racial equality a central feature of communism, two urban locales featured prominently: its capital city of Moscow and the burgeoning Black cultural center that was Harlem, New York. This course will explore cross-cultural encounters between Moscow and Harlem as a way to ask larger questions about race, class, and solidarity across difference. Students can expect to read novels, memoirs, and cultural reportage from Harlem Renaissance figures (Langston Hughes, Claude McKay, Dorothy West) who traveled to Moscow. Students will also learn about the role of race in early Soviet culture, particularly visual culture (films, children’s media, propaganda posters, etc.). This course includes a field trip to the Schomburg Center for Research in Black Culture in Harlem.

• Department: Africana Studies (AFSB)
• M 6:10 p.m.-8 p.m.
• Instructor: Jennifer L Wilson
  Info
• 3 points

SPECIAL TOPICS IN BIOMEDICAL ENGINEERING

DEEP LEARNING:APPL IN BIO-SIGN

Additional current topics in biomedical engineering taught by regular or visiting faculty. The same subject matter is not usually considered in different years. Section 001: Gene and Drug Delivery (Fall); Section 002: Deep Learning for Biomedical Applications

• Department: Biomedical Engineering
• R 1:10 p.m.-3:40 p.m.
• 3 points

SPECIAL TOPICS IN BIOMEDICAL ENGINEERING

REPRODUCTIVE BIOENGINEERING

Additional current topics in biomedical engineering taught by regular or visiting faculty. The same subject matter is not usually considered in different years. Section 001: Gene and Drug Delivery (Fall); Section 002: Deep Learning for Biomedical Applications

• Department: Biomedical Engineering
• R 4:10 p.m.-6:40 p.m.
• Instructor: David Elad
  Info
• 3 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR APMA

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR BIOMEDICAL ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR CIVIL ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR CHEMICAL ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR COMPUTER SCIENCE

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR DATA SCIENCE

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR EARTH&ENV; ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR COMPUTER ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR ELECTRICAL ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR BUSINESS ANALYTICS

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• MW 2:10 p.m.-4 p.m.
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR FINANCIAL ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• F 3 p.m.-5 p.m.
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR MANAGEMENT SCIENCE

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• MW 2:40 p.m.-3:55 p.m.
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR IEOR

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• F 3 p.m.-5 p.m.
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR MECHANICAL ENG

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PROF DEVELOPMENT&LEADERSHIP;

PDL FOR SPRING COHORT

The Professional Development and Leadership course aims to enhance and expand Columbia Engineering graduate students’ interpersonal, professional and leadership skills, through six modules, including: (1) professional portfolio; (2) communication skills; (3) business etiquette and networking; (4) leadership, followership and teamwork; (5) life management; and (6) ethics and integrity. Students in the course will build upon and enhance their interpersonal and intrapersonal skills to further distinguishing themselves in the classroom and in their careers. This course is offered at the Pass/D/Fail grading option.

• Department: Engineering
• 0 points

PRINCIPLES OF APPLIED MATH

Prerequisites: Introductory Linear Algebra required. Ordinary Differential Equations recommended.
Review of finite-dimensional vector spaces and elementary matrix theory. Linear transformations, change of basis, eigenspaces. Matrix representation of linear operators and diagonalization. Applications to difference equations, Markov processes, ordinary differential equations, and stability of nonlinear dynamical systems. Inner product spaces, projection operators, orthogonal bases, Gram-Schmidt orthogonalization. Least squares method, pseudo-inverses, singular value decomposition. Adjoint operators, Hermitian and unitary operators, Fredholm Alternative Theorem. Fourier series and eigenfunction expansions. Introduction to the theory of distributions and the Fourier Integral Transform. Green's functions. Application to Partial Differential Equations.

• Department: Applied Physics and Applied Mathematics
• TR 1:10 p.m.-2:25 p.m.
• Instructor: Marc W Spiegelman
  CULPA: 15 Info
• 3 points

PRINCIPLES OF APPLIED MATH

Prerequisites: Introductory Linear Algebra required. Ordinary Differential Equations recommended.
Review of finite-dimensional vector spaces and elementary matrix theory. Linear transformations, change of basis, eigenspaces. Matrix representation of linear operators and diagonalization. Applications to difference equations, Markov processes, ordinary differential equations, and stability of nonlinear dynamical systems. Inner product spaces, projection operators, orthogonal bases, Gram-Schmidt orthogonalization. Least squares method, pseudo-inverses, singular value decomposition. Adjoint operators, Hermitian and unitary operators, Fredholm Alternative Theorem. Fourier series and eigenfunction expansions. Introduction to the theory of distributions and the Fourier Integral Transform. Green's functions. Application to Partial Differential Equations.

• Department: Video Network
• TR 1:10 p.m.-2:25 p.m.
• Instructor: Marc W Spiegelman
  CULPA: 15 Info
• 3 points

METHODS IN AMERICAN STUDIES

• Department: Ethnicity and Race, Center for
• M 4:10 p.m.-6 p.m.
• Instructor: Matthew Sandler
  CULPA: 1 Info
• 3 points

INTRODUCTION TO PROB & STAT

INTRO TO PROBABILITY & STATSTC

Prerequisites: Calculus through multiple integration and infinite sums.
A calculus-based tour of the fundamentals of probability theory and statistical inference. Probability models, random variables, useful distributions, conditioning, expectations, law of large numbers, central limit theorem, point and confidence interval estimation, hypothesis tests, linear regression.  This course replaces SIEO 4150.

• Department: Statistics
• TR 1:10 p.m.-2:25 p.m.
• Instructor: David A Rios
  CULPA: 16 Info
• 3 points

CONTROVERSIAL TPCS-HUM EVOL I

Prerequisites: an introductory biological/physical anthropology course and the instructor's permission.
Controversial issues that exist in current biological/physical anthropology, and controversies surrounding the descriptions and theories about particular fossil hominid discoveries, such as the earliest australopithecines, the diversity of Homo erectus, the extinction of the Neandertals, and the evolution of culture, language, and human cognition.

• Department: Anthropology
• R 4:10 p.m.-6 p.m.
• Instructor: Ralph L Holloway
  CULPA: 4 Wikipedia Info
• 3 points

CORE ARCHITECTURE STUDIO II

• Department: Architecture, Planning and Preservation
• MWF 2 p.m.-6 p.m.
• Instructor: Mimi Hoang
  Info
• 9 points

METHODS II:COMPUTATIONL METHOD

Prerequisites: Medical Informatics G4001, Computer Science W3139
.  Survey of the methods underlying the field of medical informatics.  Explores techniques in mathematics, logic, decision science, computer science, engineering, cognitive science, management science and epidemiology, and demonstrates the application to health care and biomedicine.

• Department: Biomedical Informatics
• F 10 a.m.-11:15 a.m.
• Instructor: Adler J Perotte
  Info
• 3 points

QUANT PHYSIOLOGY II:ORGAN SYST

Prerequisites: (BIOL UN2005) and (BIOL UN2006)
Corequisites: BMEN E3020,BMEN E3820
Students are introduced to a quantitative, engineering approach to cellular biology and mammalian physiology. Beginning with biological issues related to the cell, the course progresses to considerations of the major physiological systems of the human body (nervous, circulatory, respiratory, renal).

• Department: Biomedical Engineering
• MW 8:40 a.m.-9:55 a.m.
• Instructor: Barclay Morrison
  CULPA: 9 h-index: 42 Info
• 3 points

CONFLICT URB: PR NOW

This is the fourth in a series of multidisciplinary Mellon seminars on the topic of Conflict Urbanism, as part of a multi-university initiative in Architecture, Urbanism and the Humanities. This spring, we will focus on the role of natural and economic disaster in terms of the spatial restructuring of Puerto Rico today.
Conflict Urbanism: Puerto Rico Now
Our seminar will examine the ways in which hurricanes, debt, and migration are major forces which produce and shape spatial inequalities in contemporary Puerto Rico. We will approach Puerto Rico as a network of conflicting forces, demands, and discourses (economic, spatial, political, environmental, historical, memorial, mediatic, aesthetic), and compare the Puerto Rican context with other intensive politicized spaces. What does Puerto Rico have in common with New Orleans Post Katrina? With the Dominican Republic or Singapore? Prior to Hurricane Maria, what did San Juan have in common with Detroit or Miami? To do our work we will draw on and work with diverse sources of information including data about population displacement, urban destruction housing values and foreclosures, and reports and analysis of “expert’ bodies such as FEMA, Puerto Rico’s government, and the United Nations. We will consider how local and global organizing is challenging spatial inequalities, ­­­and will reformat this information in a way that exposes some alternate images of Puerto Rico prior to these disasters and present some new post-disaster visions of it.  Our seminar involves thinking and action from some very new perspectives which engage multiple methods of learning and engagements.

• Department: Ethnicity and Race, Center for
• F 1 p.m.-3 p.m.
• 3 points

ALTERNATIVE ENERGY RESOURCES

• Department: Earth and Environmental Engineering
• MW 10:10 a.m.-11:25 a.m.
• Instructor: Dan Steingart
  CULPA: 1 Wikipedia h-index: 36 Info
• 3 points

ADVANCED MECHANICS

Prerequisites: differential and integral calculus, differential equations, and PHYS UN3003 or the equivalent.
Lagrange's formulation of mechanics, calculus of variations and the Action Principle, Hamilton's formulation of mechanics, rigid body motion, Euler angles, continuum mechanics, introduction to chaotic dynamics.

• Department: Physics
• TR 8:40 a.m.-9:55 a.m.
• Instructor: Timothy J Halpin-Healy
  CULPA: 6 Info
• 3 points

ADVANCED STUDIO SEMESTER IV

• Department: Architecture, Planning and Preservation
• W 3 p.m.-5 p.m.
• Instructor: Ziad Jamaleddine
  Info
• 9 points

OPTIMIZATION MODELS AND METHODS

INTRO TO OR-DETERMINSTC MODELS

This is required for students in the Undergraduate Advanced Track.
 For students who have not studied linear programming. Some of the main methods used in IEOR applications involving deterministic models: linear programming, the simplex method, nonlinear, integer and dynamic programming.

• Department: Industrial Engineering and Operations Research
• TR 5:40 p.m.-6:55 p.m.
• Instructor: Raghav Singal
  h-index: 4 Info
• 3 points

OPTIMIZATION MODELS AND METHODS

INTRO-OPER RSRCH-DETERMNTC MDL

This is required for students in the Undergraduate Advanced Track.
 For students who have not studied linear programming. Some of the main methods used in IEOR applications involving deterministic models: linear programming, the simplex method, nonlinear, integer and dynamic programming.

• Department: Industrial Engineering and Operations Research
• 0 points

ADVANCED STUDIO SEMESTER VI

• Department: Architecture, Planning and Preservation
• F 3 p.m.-5 p.m.
• 9 points

FLD METHODS FOR ENVIRON ENGIN

Prerequisites: (ENME E3161) or ENME E3161 or the equivalent or instructor's permission
Principles and methods for designing, building and testing systems to sense the environment.  Monitoring the atmosphere, water bodies and boundary interfaces between the two.  Sensor systems for monitoring heat and mass flows, chemicals, and biota.  Measurements of velocity, temperature, flux and concentration in the field.  The class will involve planning and execution of a study to sense a local environmental system.

• Department: Earth and Environmental Engineering
• TR 4:10 p.m.-5:25 p.m.
• Instructor: Wade McGillis
  h-index: 44 Info
• 3 points

PROGRAMMING IN JAVA

• Department: Business
• WF 6:10 p.m.-8 p.m.
• Instructor: Samuel Sultan
  Info
• 3 points

OPT MODELS & METHODS FOR FE

Prerequisites: Linear algebra.

This graduate course is only for MS Program in FE students.
Linear, quadratic, nonlinear, dynamic, and stochastic programming. Some discrete optimization techniques will also be introduced. The theory underlying the various optimization methods is covered. The emphasis is on modeling and the choice of appropriate optimization methods. Applications from financial engineering are discussed.

• Department: Video Network
• Instructor: Garud Iyengar
  CULPA: 6 h-index: 30 Info
• 3 points

ANALYTIC NUMBER THEORY

Prerequisites: MATH UN3007
A one semeser course covering the theory of modular forms, zeta functions, L -functions, and the Riemann hypothesis. Particular topics covered include the Riemann zeta function, the prime number theorem, Dirichlet characters, Dirichlet L-functions, Siegel zeros, prime number theorem for arithmetic progressions, SL (2, Z) and subgroups, quotients of the upper half-plane and cusps, modular forms, Fourier expansions of modular forms, Hecke operators, L-functions of modular forms.

• Department: Mathematics
• TR 11:40 a.m.-12:55 p.m.
• Instructor: Dorian Goldfeld
  CULPA: 23 Wikipedia Info
• 3 points

Computational Discrete Optimization

Discrete optimization is a powerful tool for modelling a wide range of problems in science, engineering, and many other areas of technological everyday life. As the name suggests, it deals with problems where the decisions to be made are discrete, for instance: which cities should be connected with a road, how many airplanes should we build, or to whom should a highly-requested job be given? In this course, you will be introduced to those problems and to different techniques for solving them. We will study these techniques mathematically and test their strengths and limits in practice using state-of-the-art solvers. Problems that we will consider include: transportation problems (TSP, vehicle routing, etc.), matching problems (school assignment, adwords, etc.), discrete problems in machine learning (submodular function maximization, etc.). We will see relevant application of those problems in different areas, including some surprising ones, such as: How can we use graph algorithms to compress images and reconstruct genomas? How can we use the theory of matching and integer programming to facilitate kidney transplants? How can discrete optimization help in feature selection for machine learning problems? Prerequisites. Basic knowledge of linear programming, probability theory, and a pinch of coding experience. Textbooks. Most of the classes will be based on lecture notes and survey or research articles. Softwares and programming languages. Gurobi and Python. Previous experience with them is not required (but willingness to learn them is required). Grading. 30% Assignments. Roughly one every two weeks. 10% Class participation. 60% Final Team Project (2-3 members). Students can choose between a theoretical, practical, or mixed theoret

• Department: Industrial Engineering and Operations Research
• MW 10:10 a.m.-11:25 a.m.
• Instructor: Yuri Faenza
  h-index: 11 Info
• 3 points

READINGS IN CLASSICAL JAPANESE

BUNGO II: from Heian to Meiji

Close readings of specific texts, as well as methods, skills, and tools.

• Department: East Asian Languages and Cultures
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Tomi Suzuki
  CULPA: 5 Info
• 4 points

GIS-RES,ENVIR,INFRASTRUCTR MGT

Prerequisites: Instructor's permission.
Basic concepts of geomatics, spatial data representation and organization, and analytical tools that comprise GIS are introduced and applied to a variety of problems including watershed protection, environmental risk assessment, material mass balance, flooding, asset management, and emergency response to natural or man-made hazards. Technical content includes geography and map projections, spatial statistics, database design and use, interpolation and visualization of spatial surfaces and volumes from irregularly spaced data, and decision analysis in an applied setting. Taught in a laboratory setting using ArcGIS. Access to New York City and other standard databases. Term projects emphasize information synthesis towards the solution of a specific problem.

• Department: Earth and Environmental Engineering
• M 7:10 p.m.-8:25 p.m.
• T 8:40 p.m.-9:55 p.m.
• Instructor: Yuri Gorokhovich
  CULPA: 1 Info
• 3 points

DESIGN STUDIO

• Department: Architecture, Planning and Preservation
• Instructor: Danielle S Smoller
  Info
• 3 points

MATH METHODS IN CHEMICAL ENGIN

Prerequisites: (CHEN E3120) and (CHEN E4230) or equivalent, or instructor's permission.
Mathematical description of chemical engineering problems and the application of selected methods for their solution. General modeling principles, including model hierarchies. Linear and nonlinear ordinary differential equations and their systems, including those with variable coefficients. Partial differential equations in Cartesian and curvilinear coordinates for the solution of chemical engineering problems.

• Department: Chemical Engineering
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Venkat Venkatasubramanian
  h-index: 58 Info
• 3 points

Responsible Conduct of Research and Related Policy Issues

A discussion of scientific research ethics for students, post-doctoral scientists and fellows, and other junior investigators at the Columbia University Irving Medical Center. This course explores a variety of ethical and policy issues that arise during the conduct of basic, translational, epidemiological, and clinical biomedical research. The course's philosophy is to facilitate and encourage students to engage with Columbia faculty members who can speak from their own experience on ethical questions that can arise during the conduct of scientific research. Topics addressed include: Research misconduct, as well as policies and procedures for addressing; Mentee-mentor relationship; Authorship practices and scientific publications; Research involving human participants/subjects; Data acquisition, ownership, sharing, management, and reproducibility; Use of laboratory animals in scientific research; Conflicts of interest; Peer review; Intellectual property and technology transfer; The role of scientists in society; Collaborative research; Partnerships with industry; The scientific method; Strategies for a successful research career. Course sessions include lectures, class discussion, and case studies.

• Department: Cellular, Molecular, and Biophysical Studies
• F 1 p.m.-2 p.m.
• 1 points

SELECTIONS FROM GREEK LITERATURE

SLCTNS FRM GRK LIT: ARISTOTLE

Prerequisites:
GREK UN2101 - GREK UN2102
or the equivalent.
Since the content of this course changes each year, it may be repeated for credit.

• Department: Classics
• MW 10:10 a.m.-11:25 a.m.
• Instructor: Nancy Worman
  CULPA: 23 Wikipedia Info
• 3 points

MGMT OF HEALTH INFORMATION TECH

• Department: Biomedical Informatics
• F 9 a.m.-5 p.m.
• Instructor: Virginia G Lorenzi
  Info
• 3 points

SELECTIONS FROM LATIN LITERATURE

SENECA

Prerequisites: LATN UN3012 or the equivalent.
Since the content of this course changes from year to year, it may be repeated for credit.

• Department: Classics
• MW 2:40 p.m.-3:55 p.m.
• Instructor: Gareth Williams
  CULPA: 7 Info
• 3 points

LANGUAGE CROSSING IN LATIN CARRIBEAN CUL

Prerequisites: Intermediate reading knowledge of Spanish

This course considers how language has traditionally shaped constructs of national identity in the Caribbean vis-à-vis the US. By focusing on language ‘crossings’ in Latinx Caribbean cultural production, we critically explore how various sorts of texts–narrative, drama, performance, poetry, animated TV series, and songs–contest conventional notions of mainstream American, US Latinx, and Caribbean discourses of politics and identities. Taking 20
th
-century social and historical context into account, we will analyze those contemporary styles and uses of language that challenge monolingual and monolithic visions of national and ethnolinguistic identities, examining societal attitudes, cultural imaginaries, and popular assumptions about the Spanish language in the Greater Caribbean and the US.

• Department: Latin American and Iberian Cultures
• MW 1:10 p.m.-2:25 p.m.
• Instructor: Francisca Aguilo Mora
  CULPA: 5 Info
• 3 points

BIG DATA IN TRANSPORTATION

• Department: Civil Engineering and Engineering Mechanics
• W 7 p.m.-9:30 p.m.
• Instructor: Xuan Di
  h-index: 15 Info
• 3 points

RESP COND-RES/REL PLCY ISS-DIS

• Department: Cellular, Molecular, and Biophysical Studies
• T 5 p.m.-6 p.m.
• Instructor: Alejandro Chavez
  h-index: 25 Info
• 1 points

MTHDS IN HLTH INFORMATION TECH

• Department: Biomedical Informatics
• F 9 a.m.-5 p.m.
• Instructor: Virginia G Lorenzi
  Info
• 3 points

PARTICLE ASTROPHYS & COSMOLOGY

• Department: Physics
• MW 1:10 p.m.-2:25 p.m.
• Instructor: Charles J Hailey
  CULPA: 42 Wikipedia Info
• 3 points

HISTORY OF THE CITY IN LATIN AMERICA

This course covers the historical development of cities in Latin America. Readings examine the concentration of people in commercial and political centers from the beginnings of European colonization in the sixteenth century to the present day and will introduce contrasting approaches to the study of urban culture, politics, society, and the built environment. Central themes include the reciprocal relationships between growing urban areas and the countryside; cities as sites of imperial power and their post-colonial role in nation-building; changing power dynamics in modern Latin America, especially as they impacted the lives of cities’ nonelite majority populations; the legalities and politics of urban space; the complexity and historical development of urban segregation; the rise of informal economies; and the constant tension between tradition and progress through which urban societies have formed. Reading knowledge of Spanish and/or Portuguese will be helpful but is not required. Open to both undergraduate and graduate students; graduate students will be given additional reading and writing assignments.

• Department: History
• M 4:10 p.m.-6 p.m.
• Instructor: Amy E Chazkel
  CULPA: 1 Info
• 4 points

BIOLOGICAL SEQUENCE ANALYSIS

• Department: Biomedical Informatics
• W 9 a.m.-noon
• Instructor: Richard A Friedman
  Info
• 3 points

BUSINESS CHINESE II

Prerequisites: two years of Chinese study at college level.
This course is designed for students who have studied Chinese for two years at college level and are interested in business studies concerning China. It offers systematic descriptions of Chinese language used in business discourse. CC GS EN CE

• Department: East Asian Languages and Cultures
• MTWR 10:10 a.m.-11 a.m.
• Instructor: Zhong Qi Shi
  Info
• 4 points

FRENCH SEMINAR

• Department: Architecture, Planning and Preservation
• Instructor: Danielle S Smoller
  Info
• 3 points

MEDIA CHINESE II

Prerequisites:
CHNS W4004
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

• Department: East Asian Languages and Cultures
• MTWR 9:10 a.m.-10 a.m.
• MTWR 10:10 a.m.-11 a.m.
• Instructor: Yuan-Yuan Meng
  CULPA: 33 Info
• 4 points

ITALIAN FOOD/GLOBALIZED WORLD

This seminar examines the many meanings of food in Italian culture and tradition; how values and peculiarities are transmitted, preserved, reinvented and rethought through a lens that is internationally known as “Made in Italy”; how the symbolic meanings and ideological interpretations are connected to creation, production, presentation, distribution, and consumption of food. Based on an anthropological perspective and framework, this interdisciplinary course will analyze ways in which we can understand the ‘Italian taste’ through the intersections of many different levels: political, economic, aesthetic, symbolic, religious, etc. The course will study how food can help us understand the ways in which tradition and innovation, creativity and technology, localism and globalization, identity and diversity, power and body, are elaborated and interpreted in contemporary Italian society, in relation to the European context and a globalized world. Short videos that can be watched on the computer and alternative readings for those fluent in Italian will be assigned. In English.

• Department: Italian
• R 4:10 p.m.-6 p.m.
• Instructor: Barbara Faedda
  Info
• 3 points

FOURTH YEAR CHINESE II

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

• Department: East Asian Languages and Cultures
• MTWR 10:10 a.m.-11 a.m.
• MWR 6:10 p.m.-7:25 p.m.
• Instructor: Ting Wen
  Info
• Instructor: Ling Yan
  CULPA: 12 Info
• 4 points

SKILLS/MGMT OF HLTH INFO TECHNOLOGY

SKILLS/MGMT HLTH INFO TECH

• Department: Biomedical Informatics
• F 9 a.m.-5 p.m.
• Instructor: Virginia G Lorenzi
  Info
• 3 points

FRENCH INTENSIVE I

• Department: Architecture, Planning and Preservation
• Instructor: Danielle S Smoller
  Info
• 1.5 points

HEALTH INFO TECHNOLOGY

SKILLS & MTHDS IN HIT

• Department: Biomedical Informatics
• F 9 a.m.-5 p.m.
• Instructor: Virginia G Lorenzi
  Info
• 3 points

APPLIED PHYSICS LABORATORY

Prerequisites: (ELEN E3401) or or equivalent.
Typical experiments are in the areas of plasma physics, microwaves, laser applications, optical spectroscopy physics, and superconductivity.

• Department: Applied Physics and Applied Mathematics
• T 9 a.m.-4:30 p.m.
• Instructor: Michael E Mauel
  CULPA: 9 Info
• 2 points

APPLIED PHYSICS LABORATORY

Prerequisites: (ELEN E3401) or or equivalent.
Typical experiments are in the areas of plasma physics, microwaves, laser applications, optical spectroscopy physics, and superconductivity.

• Department: Video Network
• Instructor: Michael E Mauel
  CULPA: 9 Info
• 2 points

FOURTH YEAR JAPANESE II

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.

• Department: East Asian Languages and Cultures
• MWF 10:10 a.m.-11:25 a.m.
• MWF 1:10 p.m.-2:25 p.m.
• Instructor: Shigeru Eguchi
  CULPA: 9 Info
• 4 points

SOLID STATE PHYSICS

Prerequisites: PHYS GU4021 and PHYS GU4023 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.

• Department: Physics
• TR 2:40 p.m.-3:55 p.m.
• Instructor: Aron Pinczuk
  Wikipedia Info
• 3 points

HISTORY OF CHINESE LANGUAGE

HISTORY OF THE CHINESE LANGUAG

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

• Department: East Asian Languages and Cultures
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Zhirong Wang
  CULPA: 11 Info
• 3 points

BIOLOGICAL SEQUENCE ANALYSIS

• Department: Cellular, Molecular, and Biophysical Studies
• W 9 a.m.-noon
• Instructor: Richard A Friedman
  Info
• 3 points

GRADUATE IMMUNOLOGY

Survey of the major topics in basic immunology with an emphasis on the molecular basis for immune recognition and regulation.

• Department: Microbiology
• TR 1:30 p.m.-3 p.m.
• Instructor: Christian W Schindler
  CULPA: 3 Info
• 4 points

MOLECULR/CELL BIO OF NUTRIENTS

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.

• Department: Human Nutrition, Institute of
• T 9 a.m.-11:50 a.m.
• Instructor: Lori M Zeltser
  Info
• 3 points

RUSSIAN LINGUISTICS, HABIT & ACTIVITY

Prerequisites: (LING UN3101 Intro to Linguistics) One Year college Russian language
This course explores and integrates two approaches to Russian linguistics, pattern and activity. We start by examining Russian as a system made up of elements and rules and
focus on well-known phenomena of Russian (case, gender and animacy, aspect). We turn then to look at language as a human activity involving participants (sociolinguistics, oral
discourse, heritage learners) and function of speech (internet squabbles, poetry, propaganda, ideology, and sacred writing). Work consists of an alternation of reading and discussion
(first day) and discussion of students’ collection and interpretation of language data (second meeting). Weekly exercises (67% of grade) will form the basis of a term-final paper (33%).

• Department: Slavic Languages
• MW 2:40 p.m.-3:55 p.m.
• Instructor: Alan Timberlake
  CULPA: 23 Wikipedia Info
• 3 points

BRIDGE DESIGN & MANAGEMENT

Prerequisites: (CIEN E3125) or 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, maintenance, repair, reconstruction. Bridge inventories, condition assessments, data acquisition and analysis, forecasts. Selected case histories and field visits.

• Department: Civil Engineering and Engineering Mechanics
• R 4:10 p.m.-6:40 p.m.
• Instructor: Bojidar S Yanev
  Info
• 3 points

BRIDGE DESIGN & MANAGEMENT

Prerequisites: (CIEN E3125) or 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, maintenance, repair, reconstruction. Bridge inventories, condition assessments, data acquisition and analysis, forecasts. Selected case histories and field visits.

• Department: Video Network
• R 4:10 p.m.-6:40 p.m.
• Instructor: Bojidar S Yanev
  Info
• 3 points

JAPANESE BUDDHIST VISUAL CULTR

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.

• Department: East Asian Languages and Cultures
• W 10:10 a.m.-noon
• 3 points

QUANTUM MECHANICS II

Prerequisites: PHYS GU4021.  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.

• Department: Physics
• TR 11:40 a.m.-12:55 p.m.
• Instructor: Emlyn W Hughes
  CULPA: 18 Info
• 3 points

ARCHITECTURAL DRWG & REP II

• Department: Architecture, Planning and Preservation
• T 9 a.m.-1 p.m.
• Instructor: Daniel Taeyoung Lee
  Info
• 3 points

APPLIED QUANTUM MECHANICS

Prerequisites: (PHYS GU4021 and PHYS GU4022)
In this course, we will learn how the concepts of quantum mechanics are applied to real physical systems, and how they enable novel applications in quantum optics and quantum information. We will start with microscopic, elementary quantum systems – electrons, atoms, and ions - and understand how light interacts with atoms. Equipped with these foundations, we will discuss fundamental quantum applications, such as atomic clocks, laser cooling and ultracold quantum gases - a synthetic form of matter, cooled down to just a sliver above absolute zero temperature. This leads us to manybody quantum systems. We will introduce the quantum physics of insulating and metallic behavior, superfluidity and quantum magnetism – and demonstrate how the corresponding concepts apply both to real condensed matter systems and ultracold quantum gases. The course will conclude with a discussion of the basics of quantum information science - bringing us to the forefront of today’s quantum applications.

• Department: Physics
• MW 11:40 a.m.-12:55 p.m.
• Instructor: Sebastian Will
  h-index: 18 Info
• 3 points

PRINCIPLES OF DEVELOPMNTL BIOL

Required for first-year Genetics and Development students.  Open to students from all departments, but students from outside the Genetics Department should consult the instructor before registering.  The course emphasizes the molecular control of vertebrate embryogenesis.  Divided into three main areas:  early embryogenesis, developmental neurobiology, and the development and differentiation of specialized organs or lineages.  A combination of faculty lectures and presentations by participating students.

• Department: Genetics and Development
• R 3 p.m.-4 p.m.
• 3 points

COMPUTER MODELS IN BIOLOGY

Prerequisites: Calculus, Cell Biology (or a strong intro class), PChem desirable but not required, or the instructor's permission. Some computer programming desirable, but is neither required nor essential.
This course is intended to introduce students in the biological and physical sciences to techniques in computer programming and the modeling of biological systems. We will meet for 3 hours once a week. The first hour and a half of each class will be devoted to discussing the fundamentals of a biological system of interest. In the second half of the class, we will introduce a modeling approach to the problem, and divide into groups to begin writing a computer program to analyze the biological system discussed in the first half of the lecture. The first part of the course (weeks 1-6) will cover the basics of programming in Igor (Wavemetrics). We will then move on to basic statistical methods in Igor, including curve fitting and bootstrapping. Students will be asked to complete programming homework assignments designed to develop their skills early on. The second part of the course (weeks 6-12) will present the class with problems in the scientific literature and the algorithms used to solve them. Examples of problems that we will discuss in class include solving the equations for the action potential, modeling diffusion and chemical reactions. This course will be of interest to advanced undergraduates that aim to pursue careers in medicine and basic science research. This course will also be of interest to graduate students desiring an introduction to computer programming and modeling in biological research.

• Department: Biological Sciences
• W 4:10 p.m.-6 p.m.
• Instructor: Julio Fernandez
  CULPA: 5 Wikipedia h-index: 90 Info
• 3 points

POSTWARS AND RECONSTRUCTIONS

US CIVIL WAR PERSPECTIVE

Prerequisites: NONE, but HIST 2432 recommended for undergraduates.
This course attempts to see what can be gained by working across the usual field designations of time and space to identify perseverant challenges posed in, and faced by, societies during and after civil wars.  Casting a large net from the mid-nineteenth century to the 1970s it looks at the process of waging civil wars and the challenges of making peace and rebuilding in the aftermath.  The course is organized chronologically and thematically.  This year it focuses on four main themes:  Occupations and Political Reconstructions; Reconstructing Lives; Vengeance and Justice; Memory and History.  The reading list includes readings on the American Civil War, the Irish Civil War, the Spanish Civil War and the Algerian War.

• Department: History
• W 10:10 a.m.-noon
• Instructor: Stephanie McCurry
  CULPA: 3 Wikipedia Info
• 4 points

ARCH-PLANNING-PRESERVATN-PARIS

• Department: Architecture, Planning and Preservation
• Instructor: Danielle S Smoller
  Info
• 3 points

EUROPE'S COMMERICAL REVOLUTION

This course examines the profound changes wrought by the explosive growth of the European market economy during the late medieval and early modern centuries. Readings will be drawn both from theoretical literature examining the market and from studies documenting the practices of commercial people, the institutions that organized trade (guilds, merchant associations, law, and the nascent states of the period), and the cultural responses to commercial wealth.

• Department: History
• R 4:10 p.m.-6 p.m.
• Instructor: Martha C Howell
  CULPA: 8 Wikipedia Info
• 4 points

SOCIOLOGY OF SEXUALITIES

• Department: Sociology
• T 4:10 p.m.-6 p.m.
• Instructor: Tey Meadow
  h-index: 8 Info
• 4 points

DEVELOPMENT OF PARIS

• Department: Architecture, Planning and Preservation
• Instructor: Danielle S Smoller
  Info
• 3 points

POSTWAR CZECH LITERATURE

A survey of postwar Czech fiction and drama. Knowledge of Czech not necessary. Parallel reading lists available in translation and in the original.

• Department: Slavic Languages
• TR 2:40 p.m.-3:55 p.m.
• Instructor: Christopher W Harwood
  CULPA: 4 Info
• 3 points

PHILO OF ALEXANDRIA:LIFE OF MOSES, ON TH

We will read in the original language selections from three treatises -- 
In Flaccum
,
Legatio ad Gaium
, and
De Vita Contemplativa -- 
of Philo of Alexandria; aside from their importance as Imperial Greek texts, these essays provide essential and very rare evidence for the environment (early Imperial Alexandria) and thought of their author.

• Department: Classics
• T 8:10 a.m.-10 a.m.
• Instructor: Seth R Schwartz
  CULPA: 1 Wikipedia Info
• 3 points

HISTORY OF EUROPEAN CITIES

• Department: Architecture, Planning and Preservation
• Instructor: Danielle S Smoller
  Info
• 3 points

GENETICS

Corequisites: Recommended: one term of organic chemistry.
Prerequisites: BIOL UN2005 and BIOL UN2006 or the equivalent. General genetics course focused on basic principles of transmission genetics and the application of genetic approaches to the study of biological function. Principles will be illustrated using classical and contemporary examples from prokaryote and eukaryote organisms, and the experimental discoveries at their foundation will be featured. Applications will include genetic approaches to studying animal development and human diseases. 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.pd

• Department: Biological Sciences
• TR 10:10 a.m.-11:25 a.m.
• 3 points

TRANSFORMING TEXT:TEXTUAL ANALYSIS

DIGITAL TEXT TRANSFORMATION

Designed for graduate and advanced undergraduate students in the social sciences, humanities, and computer science, this hybrid course is situated at the crossroads of historical exploration and computer sciences. Students will be exposed to digital literacy tools and computational skills through the lens of the Making and Knowing Project. The edition will draw on collaboration with and research done by the Making and Knowing Project
http://www.makingandknowing.org/
on an anonymous 16th-century French compilation of artistic and technical recipes (BnF Ms. Fr. 640). Students will work from the encoded English translation of the manuscript, prepared by the Spring 2017 course
“HIST GR8975 What is a Book in the 21st Century? Working with Historical Texts in a Digital Environment.”
This course will also utilize the concepts and prototypes developed by computer science students in the Spring 2018 “
COMS

W4172: 3D User Interfaces and Augmented Reality (AR)
. The skills students will learn over the course of the semester are widely applicable to other types of Digital Humanities projects, and indeed, in many fields outside of traditional academic study.
For the final project, students will collaborate to investigate linguistic features of Ms. Fr. 640 using natural language processing and text mining techniques. These projects will shed light on topics of interest within the manuscript and uncover connections within the textual data. By using the tools prototypes in a Spring 2018
COMS

W4172
course, and working alongside computer science students, the groups will learn to adapt and recode data sets, and to view them into a variety of visualizations.

• Department: History
• W 2:10 p.m.-4 p.m.
• 4 points

IMAGE/IDENT-CONTEMP ADVERTISNG

• Department: African-American Studies, Institute for Research in
• T 2:10 p.m.-4 p.m.
• Instructor: Sudhir A Venkatesh
  CULPA: 11 Wikipedia Info
• 4 points

FOURIER ANALYSIS

Prerequisites: three terms of calculus and linear algebra or four terms of calculus.
Prerequisite: 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.

• Department: Mathematics
• TR 10:10 a.m.-11:25 a.m.
• Instructor: Peter G Woit
  CULPA: 6 Info
• 3 points