This 10-week summer research program in New York City is designed to support under-represented minorities and female-identifying students in STEM on their pathways into graduate school in engineering and science.
Designed for students who have not attended school for some time or who do not have a firm grasp of high school mathematics. Recommended as a prerequisite for MATH S1003. Negative numbers, fractions, decimal notation, percentages, powers and roots, scientific notation, introduction to algebra, linear and quadratic equations, Pythagorean theorem, coordinates and graphs.
Prerequisites: high school mathematics, but not calculus. Basic Physics serves as preparation for General Physics 1201-1202 and is intended for those students who do not have a solid foundation in high school physics or who have been away from school for several years. The course will provide an introduction to the basic concepts and fundamental laws of physics, focusing on mechanics, together with a review of the mathematical techniques needed for problem-solving.
Recitration Section
This course traces our knowledge of the universe from astronomy’s ancient roots to the modern study of extrasolar planetary systems, cosmology, and black holes. We begin with Newton’s laws of motion and universal gravitation, Kepler’s laws, orbital dynamics, and space travel. Next we take up the nature of light, the structure of matter, the emission and absorption of light by matter, and nuclear physics. We apply this knowledge to describe the properties of our sun and of the planets of our solar system, the properties and fate of stars in general, and the discovery of planets around other stars. Further topics include galaxies and the dark matter and black holes they contain, supernovae and the creation of chemical elements, and the expansion of the universe. We end with Einsteinian cosmology, the cosmic microwave background, dark energy, and the fate of the universe.
This course probes the evolving ethical, political, and social questions that have begun to emerge as a result of rapid technological transformations in the 21st Century.
Students are introduced to selections of classical moral and political philosophy, which provides a critical vocabulary for discussing a broad range of concerns that have animated the emerging field of tech and ethics. We discuss issues associated with AI, algorithmic bias, data and privacy, free speech and content regulation, and antitrust claims against tech giants, among other topics. Participants debate specific issues and write sample policy reports based on case studies.
This course provides an intensive introduction to coding with the language of Python, one of the most widely used and intuitive programming languages. Python is an interpreted language that, while syntactically simple, is equipped with a powerful set of libraries. Data analysis, machine learning, AI, data visualization, and web development can all be done quickly and efficiently with Python. This makes Python an ideal language for beginners.
Participants learn the fundamentals of programming with Python; they are introduced to best programming practices, data representation and storage, data structures, functions and scripts, and more. Students also learn how to take advantage of the incredible number of Python libraries. By the end of the course, they have an understanding of the programming fundamentals required to approach novel and interesting problems with Python.
The course alternates between classic instruction, group work, and individual programming challenges. While learning to code in Python, students also develop logical thinking and problem solving skills that will be helpful to them in learning other programming languages as well as in college and beyond.
This course provides an intensive introduction to coding with the language of Python, one of the most widely used and intuitive programming languages. Python is an interpreted language that, while syntactically simple, is equipped with a powerful set of libraries. Data analysis, machine learning, AI, data visualization, and web development can all be done quickly and efficiently with Python. This makes Python an ideal language for beginners.
Participants learn the fundamentals of programming with Python; they are introduced to best programming practices, data representation and storage, data structures, functions and scripts, and more. Students also learn how to take advantage of the incredible number of Python libraries. By the end of the course, they have an understanding of the programming fundamentals required to approach novel and interesting problems with Python.
The course alternates between classic instruction, group work, and individual programming challenges. While learning to code in Python, students also develop logical thinking and problem solving skills that will be helpful to them in learning other programming languages as well as in college and beyond.
In this course we look at how the brain functions, what the legal issues are, how the technologies that attempt to understand and address brain functioning work, and why this is pertinent to the legal system. Participants learn how to deal with the rising tide of neuroscientific information being proffered in litigation and in the legal policy context. They see how research studies are used in contexts outside the laboratory and are challenged to critically assess and evaluate not only the scientific principles but also their legal and ethical implications.
The course focuses on brain functioning as it influences behavior and responsibility principles. The legal principle of culpable conduct and its implications are addressed, and appropriate penalties and punishment for criminal conduct are discussed. Students are asked to address fundamental questions about what it means to be morally and legally responsible, and what, if anything, neuroscience can provide to our assessments of individual responsibility for actions.
Discussions transition from case-specific inquiries to first principles, namely: How do the separate domains of law, science, and behavior relate to one another? What are the purposes and roles of law in society? How may science help or hinder those purposes? And what can science tell us about behavior that might be legally relevant, and how?
Some of the topics that may be addressed include the
Frye and Daubert
standards for the admissibility of expert testimony, objective assessments of subjective complaints of pain, inaccurate eyewitness testimony, cross-racial witness identification, applicable jury instructions employing principles of science, memory and emotion, lie detection, adolescent brain function and implications for sentencing and criminal liability, addiction, artificial intelligence, and cognitive enhancements.
The course requires daily reading and active class participation; it is taught in a law school format, using the Socratic method. Assigned readings include scientific studies and articles from medical journals as well as prominent legal cases, including some lengthy U.S. Supreme Court decisions.
How is the mind related to the brain? Are sensations, beliefs, and desires immaterial or physical states? What are the different types of consciousness and how, if at all, are they related? How do we know that beings besides ourselves possess mentality? Can robots possess minds?
We explore these questions via a philosophical analysis of a number of attempts to explain the nature of the mind and mentality. The course begins with dualist attempts to characterize the mind as a non-physical soul that possesses immaterial mental states such as beliefs and hopes, and proceeds to an investigation of recent efforts to understand the mind and mentality as physical phenomena. Some historically influential answers to the question what is a mind and what is mentality? are critically assessed, including (i) substance dualism, (ii) mind-brain identity theory, and (iii) functionalism. In the latter part of the course, issues such as the nature of consciousness as well as how to make sense of the causal efficacy of mentality are discussed.
Course readings include such influential works as René Descartes’s Meditations on First Philosophy, J.J.C. Smart's "Sensations and Brain Processes,” Hilary Putnam’s “The Nature of Mental States,” and Thomas Nagel’s “What is it Like to be a Bat?” Course activities include class debates, group presentations, the designing of thought experiments, critical writing exercises, and close textual analysis.
The broad goal of the course is to sharpen students’ analytical reading and writing skills, while the more specific objectives are to give them a solid understanding of issues in the philosophy of mind as well as an understanding of the methods of philosophy.
As the line between humans and technology becomes increasingly blurred, the proliferation of social media platforms is transforming conceptions of identity, community, and citizenship. This course aims to build on the premise that technology changes not only what we do but also who we are. We draw upon established theories of identity formation, self-presentation, and impression management in order to map the intersection between new media technologies and the evolving processes by which identities are constructed, maintained, and represented. We consider how these developments are providing new opportunities for individual expression and collective empowerment, while at the same time contributing to a growing sense of fragmentation, polarization, and uncertainty.
Central to this course is the understanding that self and identity are both the product of social interaction, and a force impacting the societies which help create them. Toward that end, through a combination of readings, lectures, discussions, videos, short papers, group work, and oral presentations, students investigate the connections between social media and the following topics: 1) The development of the “commodified self” and “self-branding.” 2) “Digital surveillance” and the “managed self.” 3). Expanding opportunities for the expression of historically “marginalized” identities, including race, ethnicity, gender, and sexuality. 4). New avenues for the formation and mobilization of oppositional (or resistance) identities, including collective identification with political movements spanning the ideological spectrum from the far left to the far right.
The central goal of this course is to provide students with a deeper appreciation for how digital technologies are fundamentally redefining traditional understandings of self and society, as well as to push participants to think more critically about their own place in what promises to an increasingly networked future.
For students who seek intensive experience with the writing of fiction. Students explore diverse styles of and approaches to fiction, and learn essential skills for writing their own short stories and novels. They participate in rigorous daily workshops and discussions on craft, as well as one-on-one teacher conferences.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
For students who seek intensive experience with the writing of fiction. Students explore diverse styles of and approaches to fiction, and learn essential skills for writing their own short stories and novels. They participate in rigorous daily workshops and discussions on craft, as well as one-on-one teacher conferences.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
What creative possibilities do true stories hold? How can truth telling and storytelling work together? How can we turn ourselves—and other real people—into compelling characters? This class considers the possibilities of journalism and creative nonfiction. We will explore sub-genres ranging from news and magazine writing to memoir and personal essay; from science writing and profiles to humor, food writing, and lyric essay. Students will learn research and reporting skills essential to all forms of nonfiction writing, as well as how to incorporate techniques traditionally associated with fiction writing into journalism and nonfiction. We will engage with a range of nonfiction prose and quality journalism, and use workshops to develop skills as editors and as writers.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
This workshop is geared toward students who have considerable experience in creative writing or who demonstrate unusual talent. Students read and write free verse poetry, short prose, drama, fiction, and creative nonfiction with the goal of developing a final portfolio of revised work.
Daily workshops and seminars expose students to many aspects of the writing process, including generating ideas, writing and revising drafts, and editing. Participants practice their literary craft with an attentive group of their peers, under the guidance of an experienced instructor. They write extensively, read and respond to excerpts from outstanding works of literature, and participate in candid, helpful critiques of their own work and that of their peers. Students are expected to come to the workshops with an openness to various approaches toward literature and writing. Classes are supplemented by weekly one-on-one conferences with instructors as well as optional electives.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
This workshop is geared toward students who have considerable experience in creative writing or who demonstrate unusual talent. Students read and write free verse poetry, short prose, drama, fiction, and creative nonfiction with the goal of developing a final portfolio of revised work.
Daily workshops and seminars expose students to many aspects of the writing process, including generating ideas, writing and revising drafts, and editing. Participants practice their literary craft with an attentive group of their peers, under the guidance of an experienced instructor. They write extensively, read and respond to excerpts from outstanding works of literature, and participate in candid, helpful critiques of their own work and that of their peers. Students are expected to come to the workshops with an openness to various approaches toward literature and writing. Classes are supplemented by weekly one-on-one conferences with instructors as well as optional electives.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
This course serves as an exploration of the creative writing process, including idea generation, creation and development of drafts, and basic editing skills. Through frequent and diverse exercises, students develop their use of voice, imagery, characterization, dialogue, and narration. Students work in poetry, prose poetry, drama, and fiction. Works produced by professional writers as well as by students in the class form the basis of discussion in the workshop process.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
A course designed for students who have not had extensive experience in creative writing. Through frequent writing exercises, participants develop such writing resources as voice, imagery, characterization, dialogue, and narration. Experimentation is encouraged.
Daily workshops and seminars expose students to many aspects of the writing process, including generating ideas, writing and revising drafts, and editing. Participants practice their literary craft with an attentive group of their peers, under the guidance of an experienced instructor. They write extensively, read and respond to excerpts from outstanding works of literature, and participate in candid, helpful critiques of their own work and that of their peers. Students are expected to come to the workshops with an openness to various approaches toward literature and writing. Classes are supplemented by weekly one-on-one conferences with instructors as well as optional electives.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Lis Harris, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
The exponential growth of data, advances in cloud computing, and machine learning have transformed every industry from retail and banking to healthcare and education. This introductory-level course enables participants to navigate the new reality of the “data economy,” in which data is the “the new oil”—a ubiquitous and invaluable asset.
We focus on the strategic use of data and innovative technologies to derive actionable business insights. Participants develop a strong foundation in data-driven thinking for solving real-world problems. They are introduced to a variety of popular technologies for data analytics and gain a familiarity with programming in R, a software environment for statistical computing and graphics. Much of the in-class work involves working with R. Students learn how to import, export, manipulate, transform, and visualize data; use statistical summaries; and run and evaluate machine learning models.
From the start of the course participants are immersed in the world of data: they are introduced to the concepts of big data, artificial intelligence, the internet of things, cloud computing, and data ethics in the context of real-world business scenarios. Through hands-on experience and practice they study data harvesting and exploration, as well as the basics of data visualization. After they get comfortable with data manipulation and transformation, they gain familiarity with statistical frameworks and methods designed to extract practical insights from data. Participants learn and implement common machine-learning techniques and develop and evaluate analytical solutions.
Toward the conclusion of the course, students work in groups on a final project and presentation, thereby (a) solidify their newly acquired analytical and programming skills and (b) practicing storytelling with data.
Participants should expect a dynamic and interactive environment: hands-on exercises, teamwork, continuous in-class dialogue, demonstrations, and interactive presentations. The course features real-world applications of data analytics across industries and challenges students to think in terms of the business value of data and machine learning.
In this course students are introduced to the key tenets of writing and performing comedy. With the guidance of professional New York City performers and writers, they learn how to generate writing through improvisational comedy. Budding comedians and comedy writers learn how to make people laugh both on and off the page, a skill that can take practitioners down a variety of career paths on stage and in film and television. Participants hone their comedic sensibilities with a wide variety of exercises and readings, and build confidence by learning the art of
Yes, and!
Subject areas include sketch comedy, improvisational comedy, and stand-up. The course features frequent guest speakers.
Courses in creative writing are offered in conjunction with the Writing Program at Columbia University’s School of the Arts. Overseen by Chair of Creative Writing Timothy Donnelly, Professor Alan Ziegler, and Director of Creative Writing for Pre-College Programs Christina Rumpf, the creative writing courses are designed to challenge and engage students interested in literary creation, providing them with a substantial foundation for further exploration of their creative work.
Is the universe infinite or finite? What is the curvature and overall shape of the space we live in, and how might we detect this? Many have considered these questions throughout the ages, and while we still don’t know the answers, a field of mathematics called geometric topology has given rise to a relatively new framework for approaching them. In this course, participants learn how models for topological spaces relate to theories on the shape of the physical universe. Philosophical discussions are informed by pencil and paper computations, experiments with common household materials, and interactive online games and modules. We begin by learning from the mistakes of archaic geocentric models so as to build intuition about manifolds — structures that look one way up close but totally different from far away. This sets the stage for a precise definition of dimension, providing the framework for the rest of the course. Students explore notions of curvature, flatness, boundedness, embeddings, and finiteness by constructing models of two-dimensional geometries out of toothpicks, cotton swabs, tape, or whatever works — creativity encouraged! We then apply our findings to the three-dimensional world, with the help of a few video games, such as flying a space ship through hyperbolic space. Finally, we look at the role of fractals in modeling reality, and how they push our notion of dimension to fascinating new horizons. Participants gain, in addition to early exposure to modern content at the intersection of topology and physical cosmology, an appreciation for rigorous mathematical thinking that is motivated not so much by numbers and quantity as by profound questions about the nature of our world.
In this course, students gain essential skills in critical thinking and written and oral argument by studying several prominent controversies in American law and society. In recent summers these have included free speech and hate speech, immigration and open borders, religious freedom and anti-discrimination law, and abolishing/defunding the police. In considering each issue, we study texts including legal cases and works in political theory so as to evaluate the meaning and relevance of key concepts such as freedom, equality, justice, autonomy, and individuality. Course materials also include book excerpts, newspaper and magazine articles, and film clips. Guest speakers from the fields of law, government, and non-profit advocacy join us to provide insights from the “front lines” of the issues under consideration. Students are encouraged to engage in serious dialogue with and pose challenging questions to these guests. Numerous public speaking exercises also help students to become more confident, trained, and effective speakers.
A primary component of the course is devoted to helping students achieve a firm grasp of the theoretical and factual arguments found in the readings, through a combination of presentations by the instructor and class discussion. Students then put these theories and facts to work in written and oral form, working both individually and in teams to construct powerful and nuanced arguments. At the end of each unit, students make arguments on various sides of each issue in structured in-class debates and other activities, marshaling ideas from the various sources so as to justify and defend their positions.
By the end of the course, participants are equipped with not only deeper knowledge of the legal and political debates surrounding various key issues but also with the tools to make, understand, critically evaluate, and communicate claims of all kinds—tools which should serve them well both in their studies and as future citizens and leaders. They come away with more developed reasoning and analytical abilities, and with improved public speaking skills.
Note:
While the class focuses on issues within the United States, students from other countries should feel free to apply, as most of the arguments under consideration will also be relevant to contemporary debates in other nations.