Prerequisites: MATH UN1101 or the equivalent Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC)
Prerequisites: MATH UN1102 and MATH UN1201 or the equivalent Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, Fourier series. (SC)
Prerequisites: FREN BC1001, BC1002, BC1102, C1101 and C1102, or an appropriate score on the placement test. Further development of oral and written communication skills. Readings in French literature.
Advanced work in language skills. Readings in French literature. Prerequisites: FREN BC1203 or an appropriate score on the placement test.
NOTE: This course
does not
fulfill the Columbia College and GS language requirement.
Prerequisites: (MATH UN1101 and MATH UN1102). Vectors in dimensions 2 and 3, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, optimization, Lagrange multipliers, double and triple integrals, line and surface integrals, vector calculus. This course is an accelerated version of MATH UN1201 - MATH UN1202. Students taking this course may not receive credit for MATH UN1201 and MATH UN1202.
Prerequisites: (see "Guidance for First-Year Students" in the Bulletin). The second term of this course may not be taken without the first. Multivariable calculus and linear algebra from a rigorous point of view. Recommended for mathematics majors. Fulfills the linear algebra requirement for the major. (SC)
Recitation section for MATH UN1205 - Accelerated Multivariable Calculus.
Students must register for both UN1205 and UN1215.
Recitation section for MATH UN1208 Honors Math B.
Students must register for both UN1208 and UN1218.
"I believe in the future of AI changing the world. The question is, who is changing AI? It is really important to bring diverse groups of students and future leaders into the development of AI.”
--
Fei-Fei Li, Professor, Denning Co-Director Stanford Institute for Human-Centered AI
Increasing numbers of AI experts and researchers emphasize the urgent need for college students to develop AI literacy, preparing them for evolving job markets, fostering ethical awareness, and ensuring equitable participation in an AI-driven society. To help them achieve AI literacy, this introductory-level course teaches students how to ethically and effectively use Generative AI (GAI) by exploring how GAI works, how to use it properly, and how to critically evaluate its output. Students will understand AI model functionality, distinguish GAI from traditional AI, examine issues of originality, authorship, intellectual property, copyright, plagiarism, fair use, accuracy, bias, environmental impacts, and privacy - all while developing meta-awareness about how AI simulates certain aspects of human creativity and cognition The course's placement in Barnard's English Department reflects the recognition that AI's development requires interdisciplinary perspectives beyond STEM, as AI research increasingly intersects with humanities and social sciences to address ethical, social, and cultural implications. Through ethics-focused assignments and writing projects culminating in a final research investigation in students' chosen fields, this course empowers students to resist pure AI reliance and actively control these technologies rather than remaining passive observers of AI's expanding influence in academia and society.
This course introduces students to urban dance styles, focusing on the foundations and origins of hip-hop dance, street dance culture, and the physical vocabularies of hip-hop and freestyle dance. Classes are geared to condition the body for the rigors of hip-hop technique by developing strength, coordination, flexibility, stamina, and rhythmic awareness while developing an appreciation of choreographic movement and structures. Compositional elements of hip-hop will be introduced and students may compose brief movement sequences.
Emergence of revolutionary and counter-revolutionary mass political movements; European industrialization, nationalism, and imperialism; 20th-century world wars, the Great Depression, and Fascism.
This course is designed for movers with little or no experience with dance, or who are unfamiliar with modern dance styles. It is intended to introduce modern dance techniques, terminology, and historical context, as well as improve anatomical and spatial awareness, and foster physical confidence moving to music. Students of this course will also cultivate comfort with watching, interpreting, and discussing modern dance.
This course is designed for movers with some experience with dance, or who are unfamiliar with modern dance styles. It is intended to introduce modern dance techniques, terminology, and historical context, as well as improve anatomical and spatial awareness, and foster physical confidence moving to music. Students of this course will also cultivate comfort with watching, interpreting, and discussing modern dance.
This course uses a seminar discussion format to examine the relationship between science and society from numerous perspectives, with examples from many fields of science, mostly biology and medicine, including the Covid-19 pandemic. We welcome undergraduates from all classes who are concentrating in any field: the natural and social sciences, humanities, or the arts. There are no prerequisites, other than an interest in how the scientific enterprise works and interacts with other components of our society.
The course addresses a wide array of topics, such as: why do people choose a scientific career? why do governments and other funders support scientific work? how does science fail? why is there widespread skepticism about science? how is it represented in the arts? how are results disseminated, evaluated, and legally protected? Assignments-- mainly short articles (from newspapers and journals) and book chapters, but also a few films and novels --will be provided for each class, and every student will undertake a term project of their own choosing, with oral and written presentations, after consultations with the instructor.
This seminar is an exploration of some "great books" from the Middle East and South Asia. We will read books, plays, stories, and poems in English translation that were originally written in Arabic, Persian, Bangla, Sanskrit. From the Thousand and One Nights to an Arabic epic about a warrior princess to the Bhagavad Gita, we will examine themes of storytelling, gender, politics, and the nature of divinity. With the exception of one Sudanese novel, we will be focusing on texts from the premodern period, and our focus will be on how to interpret texts, develop arguments about those texts, and learning about cultures of reading and writing in the past.
This course explores the core classical literature in Chinese, Japanese and Korean Humanities. The main objective of the course is to discover the meanings that these literature offer, not just for the original audience or for the respective cultures, but for us. As such, it is not a survey or a lecture-based course. Rather than being taught what meanings are to be derived from the texts, we explore meanings together, informed by in-depth reading and thorough ongoing discussion.
Explicit criteria for recognizing valid and fallacious arguments, together with various methods for schematizing discourse for the purpose of logical analysis. Illustrative material taken from science and everyday life.
Examines the major social, political, economic, and intellectual transformations from the 1860s until the present, including industrialization and urbanization, federal and state power, immigration, the welfare state, global relations, and social movements.
Corequisites: MATH UN1101 Preparation equivalent to one year of high school chemistry is assumed. Students lacking such preparation should plan independent study of chemistry over the summer or take CHEM UN0001 before taking CHEM UN1403. Topics include stoichiometry, states of matter, nuclear properties, electronic structures of atoms, periodic properties, chemical bonding, molecular geometry, introduction to quantum mechanics and atomic theory, introduction to organic and biological chemistry, solid state and materials science, polymer science and macromolecular structures and coordination chemistry. Although CHEM UN1403 and CHEM UN1404 are separate courses, students are expected to take both terms sequentially. The order of presentation of topics may differ from the order presented here, and from year to year. Students must ensure they register for the recitation that corresponds to the lecture section.
When registering, please add your name to the wait list for the recitation corresponding to the lecture section (1405 for lecture sec 001; 1407 for lecture sec 002; 1409 for lecture sec 003; 1411 for lecture sec 004). Information about recitation registration will be sent out before classes begin. DO NOT EMAIL THE INSTRUCTOR. Please check the Directory of Classes for details.
Prerequisites: CHEM UN1403 Although CHEM UN1403 and CHEM UN 1404 are separate courses, students are expected to take both terms sequentially. Topics include gases, kinetic theory of gases, states of matter: liquids and solids, chemical equilibria, applications of equilibria, acids and bases, chemical thermodynamics, energy, enthalpy, entropy, free energy, periodic properties, chemical kinetics, and electrochemistry. The order of presentation of topics may differ from the order presented here, and from year to year. Students must ensure they register for the recitation that corresponds to the lecture section. Please check the Directory of Classes for details.
Corequisites: CHEM UN1403 Recitation section for Chemistry UN1403GENERAL CHEMISTRY I-LECTURESTO BE ENROLLED IN 1403, YOU MUST REGISTER. FOR 1405
Corequisites: CHEM UN1404 Required section for UN1404 section 1 GENERAL CHEMISTRY II-LECTURES TO BE ENROLLED IN 1404 SEC 1, YOU MUST REG FOR 1406 RECITATION
Corequisites: CHEM UN1404 TO BE ENROLLED IN 1404 SEC 2, GENERAL CHEMISTRY II-LECTURESYOU MUST REGISTER FOR W1408 RECITATION
Corequisites: CHEM UN1404 TO BE ENROLLED IN UN1404 SEC 3, GENERAL CHEMISTRY II-LECTURESYOU MUST REGITER FOR UN1410 RECITATION
Writing with/on Computing
is an interdisciplinary course at the intersection of data science, visual arts, and narrative journalism, designed to equip students with the tools to investigate and narrate the impact of technology on marginalized communities. Through project-based learning, students explore how computing influences various social systems, with a particular focus on health, justice, migration, and digital surveillance. Investigations are based in the New York City metro area and result in interactive stories rooted in complex data analysis and visualization. The course fosters both technical training and a deeper understanding of social inequities, promoting a more equitable representation in media. There are no prerequisites for this class.
This course provides a broad overview of the comparative politics subfield by focusing on important substantive questions about the world today. The course is organized around four questions. First, why can only some people depend upon the state to enforce order? Second, how can we account for the differences between autocracies and democracies? Third, what different institutional forms does democratic government take? Finally, are some institutions more likely than others to produce desirable social outcomes such as accountability, redistribution, and political stability?
Detailed introduction to cellular and subcellular biology: cell structures and functions, energy metabolism, biogenesis of cell components, biology of inheritance, molecular genetics, regulation of gene expression, and genes in development.
Entrance by audition only. Call Barnard College, Department of Music during registration for time and place of audition (854-5096).
Entrance by audition only. Call Barnard College, Department of Music during registration for time and place of audition (854-5096).
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
Introduction to the psychological, philosophical, sociological, and historical foundations of education as way to understand what education is, how education has become what it is, and to envision what education should be.
A laboratory-based introduction to cell and molecular biology. Both classic and modern approaches are used to investigate principles of heredity as well as the structure and function of cells and their molecular components. Lab exercises introduce practical techniques and data analysis.
A fitness course to increase total body fitness through cardio and strength training. Course includes proper form and usage on all types of cardio equipment including treadmills, ellipticals, arc trainers, stationary bicycles, and rowers plus a variety of muscular strength exercises. This course is designed for all fitness levels with variations and progressions so that all students can safely move through classes which will have both a cardio
and
strength component.
This course is intended to be both an interdisciplinary introduction to the city and to the field of Urban Studies. As an introduction to the city, the course will address a variety of questions: What is a city? How did cities develop? How do cities function socially, politically, and economically? Why do people live in cities? What are some of the major issues facing cities in the early twenty-first century, and how can cities address these issues? As an introduction to the interdisciplinary field of Urban Studies, the course will present models of how scholars approach cities from a variety of disciplinary viewpoints, including architecture, planning, law, sociology, history, archaeology, anthropology, political science, public policy, and geography. Students will learn some of the major concepts in the field of Urban Studies, and will study the works of leading scholars in the field. Students in the course will approach cities from a number of disciplines, not only through the reading, but also through assignments that take place in different locations throughout New York City.
A Pilates-based mat exercises class to strengthen core (abs, back and hips) and sculpting techniques for entire body using various equipment. Emphasis on proper breathing and alignment.
This course focuses on strength and endurance exercises using hand weights, resistance bands, body bars, gliding discs and balls. Muscle toning exercises are discussed and practiced in detail to develop muscle definition for the upper and lower body. Emphasis is placed on correct body placement. Informative coloring sessions enhance the physical learning. Instruction in stretching technique included.