Prerequisites: High school algebra or the instructor's permission. Recommended: high school physics and chemistry. This course is preparation for CHEM UN1403 General Chemistry I Lecture or the equivalent, as well as for other science courses. It is intended for students who have not attended school for sometime or who do not have a firm grasp of high school chemistry. Topics include inorganic nomenclature, chemical reactions, chemical bonding and its relation to molecular structure, stoichiometry, periodic properties of elements, chemical equilibrium, gas laws, acids and bases, and electrochemistry. Please note that students must attend a recitation section.
Extended Residence
Students who enroll in this elective will engage in a service learning opportunity ranging from working to assess the needs of the project (with key stakeholders), structures and systems necessary to implement the project (if needed), completing training for specified roles in the project, completing the work needed to make the project successful, and engaging in individual and group reflection to solidify professional development.
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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.
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.
Climate change is one of the world’s most critical challenges, and though quite prominent in today’s news it remains a complex and multifaceted issue. What is the current understanding of the anthropogenic impacts on global climate, ecosystems, and biodiversity? How are different economic sectors, geographic regions, and countries contributing to this? How are these impacts predicted to affect future global economic growth prospects, agricultural productivity, poverty, and society at large? Who bears the potential costs and benefits? What can be done?
Using climate change as a unifying focus, this course examines the role of public policy in managing human impacts on the environment. Students are introduced to the theories and concepts of environmental economics, and using these they explore, discuss, and analyze current national and global environmental challenges. They learn the public policy approaches being used to address these challenges, and how these policies influence and interact with the role of the private sector and international frameworks such as the Paris Agreement.
Through coursework and case studies from both the developing and developed world, students gain an understanding of the complex nature of global environmental change and the importance of human-based activities in driving it. Case studies lead to the introduction of sector-based issues (e.g. promoting renewable energy and organic agriculture), innovative policy approaches (e.g. environmental trading schemes, mitigation banking, carbon taxes), and key terms used by the global conservation community to frame and promote discussion of these issues (e.g. ecosystem services, natural capital, water-energy-food nexus).
Coursework includes lectures, required reading, multimedia presentations, online research, and guest speakers. Students are expected and encouraged to participate in class discussions, raise questions, and contribute to small group exercises and presentations.
Did you ever wonder if the universe has a shape, and what it might be? In this course, participants learn how to think about the shape and internal structure of the cosmos from a mathematical perspective, culminating in an appreciation for various theoretical models of the 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 may look 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, 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, exploring advanced concepts from topology and theoretical cosmology 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. Course participants gain, in addition to 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.
From healthcare, marketing, and HR to finance and manufacturing, AI is changing the way we live and work. As a consequence, the demand for expertise in AI and machine learning is growing rapidly. This course will enable students to take the first step toward building AI driven applications. The course’s main topics are: 1. What machine learning, deep learning and AI are.
2. When machine learning is the right tool for AI.
3. How to select the right machine learning algorithm for your AI scenario.
4. How to use Python libraries to build AI applications.
5. How to use Automated Machine Learning and Python to build AI applications.
Real-world AI use cases and applications.
This course aims at teaching the most important concepts of the machine learning workflow that data scientists follow to build end-to-end data science solutions. We assume that students have basic knowledge of linear algebra and calculus. Students will gain exposure to the theory behind classification, regression, forecasting, optimization, reinforcement learning, and other topics in artificial intelligence and machine learning as they incorporate them into their own Python programs. By course’s end, students emerge with experience in libraries for machine learning as well as knowledge of artificial intelligence principles that enable them to design intelligent systems of their own. The course includes asynchronous work, which students are expected to complete between class sessions.
Studio arts courses are offered in conjunction with Columbia University's School of the Arts.
This week-long class focuses on preparing the drawing portion of a fine art portfolio application for college submissions. As the week progresses, each student receives an in-depth critique from the instructor of their current work and of their plan for their portfolio. The course is focused on completing several large projects so as to showcase observational drawing skills, ranging from still life to architectural space to self-portraiture, as well as conceptual skills.
The course combines video demonstrations of drawing techniques, individual conferences with the instructor as well as online group critiques, and virtual studio visits with professional artists. Critical issues in art are addressed once a week through group writing prompts and online discussion, so as to generate meaningful debates as a context for studio work. An online demonstration of how to professionally document and edit work in Photoshop for a digital application concludes the week.
Participants are encouraged to contextualize their creative process through language and writing, with assigned creative writing prompts, short presentations, and an ongoing sketchbook practice. A final blog houses a virtual exhibit and work is shared regularly within the community on a social media platform.
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 introduces students to the art and analysis of cinema through examination of works by filmmakers ranging from Orson Welles to Martin Scorsese. Readings, screenings, the analysis of clips and full-length movies, as well as hands-on exercises such as storyboarding, blocking, shooting, and editing a scene all combine to convey the excitement and artistry of film.
Week One:
Students learn how motion pictures developed their own language—their own, universally understood visual system of representation—by studying the masters of early and contemporary cinema: the edge-of-your-seat last minute rescue scenes of D.W. Griffith; the bravura long takes of Jean Renoir; the nail-biting tension created by Quentin Tarantino; and the nerve-tingling suspense that is the hallmark of Alfred Hitchcock. Beginning with a storyboard, students will try their hand at conceptualizing a scene from start to finish in the style of classical Hollywood cinema.
Week Two:
Having learned Hollywood’s tricks of the trade, we branch out into international cinema, where other nations developed different systems of representation—their own languages—that challenged but also inspired the American film industry. Meet the Soviet style of filmmaking that revolutionized cinema in every sense of the word; the Gothic excess of German Expressionism, whose use of lighting, setting, and costume echoes in all contemporary horror flicks; and the bold surrealism of Luis Buñuel, Salvador Dali, and Maya Deren, whose cinematic experiments impact on dream sequences to the present day. Each student writes a review of one contemporary American film that owes a debt to foreign cinema—or vice versa.
Week Three:
Putting it all together, Week Three culminates in group analyses of some of the masterworks of classical and contemporary cinema such as Citizen Kane, Run, Lola, Run and La La Land. We examine and discuss the ways in which sound and image, editing, and the elements of mise-en-scène combine to create transporting cinematic experiences that have the ability to make audiences cry, experience fear, feel empathy and joy and, above all, marvel at the magic of movies.
Daily readings include film reviews and essays on film analysis, technique and history. Students are also responsible for an oral presentation on a specific scene, film, or director of their choice.
Please be aware that some of the films viewed contain violence and mature subje
This introductory-level course is intended for students who have an interest in learning more about how corporations make business decisions and fund those decisions. The aim of the course is to provide students with an understanding of both sound theoretical principles of finance and practical tools of financial decision-making.
The course provides a brief introduction to the fundamentals of finance, emphasizing their application to a wide variety of real-world situations in corporate decision-making and financial intermediation. Key concepts and applications include the time value of money, risk-return tradeoff, cost of capital, interest rates, discounted cash flow (DCF) analysis, net present value, internal rate of return, hurdle rate, and payback period.
When we are confronted by global pandemics, climate change, and cyber-attacks, the insurance industry is the good guy who comes to the rescue. And when it comes to new opportunities such as bitcoin, driverless vehicles, and artificial intelligence, here too insurance plays a key role in enabling innovation and supporting growth and prosperity. In this course we examine the inner workings of one of the most valuable financial services for society. The first insurance policy was written 670 years ago. Today, the ten largest insurers in the world generate over $918 billion in net written premium and hold $7 trillion in non-banking assets. Course participants gain a deep appreciation as to why individuals and businesses rely on insurance as a powerful financial tool, and come to understand the value that insurance provides to society. Through lectures, role play, case studies, and group projects, students come to understand:
How insurance is responding to modern threats such as climate change, cyber-attack, coronavirus, and natural disasters.
How insurance is evolving to accommodate driverless vehicles, bitcoin, machine learning, artificial intelligence, robotization, 5G, aging populations, and longer life spans.
Why insurance is a financial necessity in a global economy.
How to utilize insurance as a financial tool.
How insurance companies make money and balance it with paying claims.
How risks are monetized and transferred.
How insurance helps to stimulate economic growth.
The economic advantages of pooling exposures.
How insurance has evolved over time.
Participants gain a clear understanding of how the insurance industry operates, why it is needed, and how it will continue to emerge to meet the risk demands of the future.
This course examines five intriguing areas of linguistics that relate to crucial 21st Century social issues. Starting with fossils and skulls, we explore where language came from, how it evolved, and how it differs from animal communication. Next, we look at language variation (in the form of accents, dialect, and slang) and imposed linguistic policies (such as spelling) that manipulate our native abilities to communicate. We move onto pragmatics, the study of how language use varies based on context, audience, formality, speaker intentionality, and even gender identity. Next, we explore language taboos (curse words, censorship) and language prestige (the social value placed on different speaking styles). We finish with an analysis of the Internet's impact on language (memes, texting, the possible decline of "proper" English, and the limitations of AI communication).
Students work in the morning with texts, lectures, and films, covering the principles of linguistics and the relevant literature. In the afternoon, they problem-solve by working through case studies and analyzing linguistic evidence via databases and other web resources. Guest speakers who are active in their fields add a level of detail and specificity to the course.
Participants gain a deeper understanding of the role of language in their society and linguistics as an interdisciplinary tool for greater insight into how we live.
Neuroscience is the study of the neural processes and mechanisms underlying human function and behavior. It is an interdisciplinary field that combines the ideas explored in the field of psychology with the science that governs the brain and body. In order to understand the etiology of disorders such as addiction, post-traumatic stress disorder, and schizophrenia, it is crucial to understand how molecular, cellular, and endocrine changes contribute to disease progression.
In this course, students learn about how the laws of neurons and neurotransmitters direct brain processes. Class time is devoted to interactive lectures, discussions, and assignments designed to help students understand the neuroscience of addiction, major depressive disorder, post-traumatic stress disorder, and schizophrenia. Outside of class, students explore case studies of neuropsychiatric disorders so as to fully understand the extent of debilitation and possibilities for recovery.