Undergraduate Courses for Qualified Pre-College Students

A first introduction to abstract algebra through group theory, with an emphasis on concrete examples, and especially on geometric symmetry groups. The course will introduce basic notions (groups, subgroups, homomorphisms, quotients) and prove foundational results (Lagrange’s theorem, Cauchy’s theorem, orbit-counting techniques, the classification of finite abelian groups). Examples to be discussed include permutation groups, dihedral groups, matrix groups, and finite rotation groups, culminating in the classification of the wallpaper groups.

Prerequisite: AS.110.201 (Linear Algebra) or AS.110.212 (Honors Linear Algebra).

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This course introduces world art and architecture from the late fourteenth century to the present, inclusive of Africa, the Americas, Asia, Europe, and the Islamic world. We will engage with three primary thematic threads throughout, exploring landscape and the changing environment; portraiture, self-representation, and the body; and the circulation of artists, materials, and ideas around the globe. Wherever they are located, students will be asked to visit monuments, architecture, and/or museums to engage with art in person. Recorded lectures by the professor, scholarly readings, digital resources, films, and the textbook material will serve as the foundation for the course. Assignments will include close-looking annotations, short writing assignments often keyed to museum contexts (like label writing, image description for the blind and partially sighted), video tours, and peer-to-peer presentations. Students will have the opportunity to check-in weekly with the professor via synchronous office hours. Expect a fast pace—this is a full semester course in four weeks. Plan to spend 3 hours each weekday working through the materials (“contact hours”) and another 1-3 hours per day working on assignments, including visiting museums or sites in your area. 

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

This online course introduces students to important concepts in data analytics across a wide range of case studies. Students will learn how to gather, analyze, and interpret data to drive strategic and operational success. They will explore how to clean and organize data for analysis, and how to perform calculations using Microsoft Excel. Topics include the data science lifecycle, probability, statistics, hypothesis testing, set theory, graphing, regression, and data ethics.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This course is a broad introduction to the fields of medical and mental health interpreting. Modules will include: (1) Three-way communication: managing role expectations and interpersonal dynamics; (2) Basic interpreting skills and techniques in a healthcare setting; (3) Ethical principles, dilemmas, and confidentiality; (4) Elements of medical interpreting; (5) Elements of mental health interpreting; (6) Trauma-informed interpreting: serving the refugee population. The course is taught in English, and has no foreign language pre-requisites.

This online course is primarily delivered asynchronously; however, your instructor has scheduled a regular synchronous session each Monday from 10 a.m. to 12 p.m., and may schedule additional live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

Recent scientific evidence shows that our brain has a great deal of malleability at any age and that our lifestyle choices play an important role in shrinking or growing different parts of our brain. Factors such as poor sleep, obesity, anxiety, and poor diet lead to accumulating shrinkage in the brain while even three months of exercise, brain training, meditation, and optimal sleep can grow the brain. You can learn to apply these new discoveries into your day-to-day life in order to improve your memory, attention, organizational skills, and overall brain vitality. Much of your learning in this course will happen during classes. Each lecture is followed by a 10-minute engaging and fun discussion session to make sure you have grasped the main concepts for that presentation.

This course will provide a fundamental understanding of the mammalian nervous system, with an emphasis on how molecules, cells, circuits, and systems in the brain work to promote behavior and cognition. Topics covered in this course include the function of nerve cells, signaling between brain networks, basic neuroanatomy, and the neural bases of movement, sensation, and memory. This course is designed for any student who has an interest in the range of disciplines we call neuroscience.

This course will provide a fundamental understanding of the mammalian nervous system, with an emphasis on how molecules, cells, circuits, and systems in the brain work to promote behavior and cognition. Topics covered in this course include the function of nerve cells, signaling between brain networks, basic neuroanatomy, and the neural bases of movement, sensation, and memory. This course is designed for any student who has an interest in the range of disciplines we call neuroscience.

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

This course will provide a practical introduction to mathematical proof, both as they have been done for centuries, and using a modern technological theorem prover. The course begins with the basic building blocks of mathematics: propositional logic, set theory, functions, and relations. These foundational tools lead to answers to questions that are surprisingly difficult, like “what are numbers?” Students will be exposed to mathematical notation and how to create it in digital documents, as well as an “artificially intelligent” proof assistant. The course will conclude with a consideration of the role of A.I. in pure mathematics, particularly as it applies to proofs.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

Do we all see colors the same way? How did so many "good" people support the Nazi party? Do crossword puzzles really stave off Alzheimer's Disease? This course tries to answer these questions and many others, providing a comprehensive overview of the scientific study of the mind. We'll explore topics such as perception, language, memory, decision-making, creativity, love, sex, art, politics, religion, dreams, drugs, brain damage and mental illness, grappling with deep and long-standing controversies along the way: differences between the sexes, the relationship between mind and brain, causes and consequences of racism, human uniqueness (or not) within the animal kingdom, nature vs. nurture, good and evil, consciousness. Appropriate for anyone wanting to know who and what we are as human beings (or who noticed that psychology is now on the MCAT).

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

The course introduces students to the discipline of sociology. You will learn about (a) theoretical approaches in sociology; (b) some of the subject matters that sociologists study, including inequality, capitalism, labor, the state, social control, race, gender, sexuality, culture, religion, population dynamics, and health; and (c) sociological methods. Most importantly, you will learn (d) how to see the world as a sociologist. That is, you will become a sociologist.

The basic concepts of point-set topology: topological spaces, connectedness, compactness, quotient spaces, metric spaces, function spaces. An introduction to algebraic topology: covering spaces, the fundamental group, and other topics as time permits.

Prerequisite: AS.110.202 (Calculus III: Calculus of Several Variables) or AS.110.211 (Honors Multivariable Calculus).

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This course uses composition and song-writing projects to introduce music fundamentals to students with little or no musical background. Topics will include rhythm and meter, pitch and intervals, scales, chords, and harmony, and how to read and write music in both traditional and popular presentations. We will cover standard classical music notation (score, Roman numerals, traditional theory terminology) as well as popular (lead-sheet notation and performance conventions). This course has no prerequisite.

This is a course in the study of linear, or vector, spaces and the structure of linear mappings between such spaces. Topics in this course include vector spaces, matrices, and linear transformations, solutions of systems of linear equations, eigenvalues, eigenvectors, and the diagonalization of matrices, along with applications to differential equations.

Prerequisite: AS.110.107 (Calculus II for Biological and Social Science) or AS.110.109 (Calculus II for Physical Sciences and Engineering) or AS.110.113 (Honors Single Variable Calculus) or an Advanced Placement BC score of 5.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

Mathematics for Sustainability covers topics in measurement, probability, statistics, dynamics, and data analysis. In this course, students will analyze, visually represent, and interpret large, real data sets from a variety of government, corporate, and non-profit sources. Through local and global case studies, students will engage in the mathematics behind environmental sustainability issues and the debates centered on them. Topics include climate change, natural resource use, waste production, air and water pollution, water scarcity, and decreasing biodiversity. The software package R is used throughout the course.

Prerequisites: Comfort with algebraic expressions and functions. No prior experience in coding is required.

This course is designed for students of all backgrounds to provide a solid foundation in the underlying mathematical, programming, and statistical theory of data analysis. In today's data driven world, data literacy is an increasingly important skill to master. To this end, the course will motivate the fundamental concepts used in this growing field. While discussing the general theory behind common methods of data science there will be numerous applications to real world data sets. In particular, the course will use Python libraries to create, import, and analyze data sets. 

Prerequisites: There are no mathematical prerequisites for this course although prior knowledge of calculus, statistics and/or programming can be helpful.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

Is the mind identical to the brain? Is the mind (or brain) a computer? Could a computer reason, have emotions, or be morally responsible? This course examines such questions philosophically and historically. Topics include the history of AI research from 1940s to present; debates in cognitive science related to AI (computationalism, connectionism, and 4E cognition); and AI ethics.

This class provides an introduction to the art of Arabic-speaking societies in the Middle East and North Africa over the course of the twentieth century. This era saw a dramatic series of sociopolitical shifts unfold throughout the region: colonial governments collapsed or changed hands, new regimes rose and fell, populations scattered in the wake of war and occupation or rebuilt their countries in the spirit of independence. Alongside these developments, art practices and exhibition cultures assumed new roles as well as new forms, playing an integral part in decolonial nation-building and networks of transnational solidarity. This course will explore stylistic and thematic developments that arose during this tumultuous period, focusing most closely on the visual cultures of Egypt, Lebanon, Palestine, Iraq and Morocco.

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

How many times have you heard it? “I got into medicine because of [Insert Character/Show]!” Medical dramas have been mainstays of our televisual landscape since the early 1960s, and even more so since the premiere of E.R. (1994-2009). In this course, we dive deep into this most pervasive of genres. How do its tropes shape public understanding of physicians and their practices? And can these series empower clinicians and public health campaigns to improve patient outcomes? Across eight weeks, we’ll explore the history of the genre, and then dive deeply into two series, House, M.D. (2004-11), and The Pitt (2025-present), to answer these questions and much more.

The course will review the growing field of positive psychology and will review the research on positive human attributes such as optimism, happiness, hope, resiliency, self-esteem, altruism, empathy, and forgiveness. This course will explore the research on how such positive attributes are developed and how they relate to psychological and physical well-being.

This course is a precalculus course and provides students with the background necessary for a study of calculus. The course Includes a review of algebra, trigonometry, exponential and logarithmic functions, coordinates and graphs. Each of these tools is introduced in its cultural and historical context. The concept of the rate of change of a function will be introduced. Not open to students who have studied Calculus in high school.

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

First-year college students, biomedical researchers, and CEOs all must be able to write successfully for a range of audiences and situations. Effective research papers, scientific articles, and board reports require more ability and skill than simply using generative AI. In this course, students acquire the tools and confidence to write successfully throughout their college career and beyond. By reading, watching, and listening to a variety of texts, students will examine different formal models and practical strategies for writing in various genres and styles, from the analytic and academic to the reflective and personal. Students will explore core concepts of writing, such as argument and audience, with an emphasis on process and practice.

A writing-intensive course (W) engages students in multiple writing projects, ranging from traditional papers to a wide variety of other forms, distributed throughout the term. Assignments include a mix of high and low stakes writing, meaning that students have the chance to write in informal, low-pressure--even ungraded--contexts, as well as producing larger, more formal writing assignments. Students engage in writing in the classroom through variety of means, including class discussions, workshop, faculty/TA lectures, and class materials (for instance, strong and weak examples of the assigned genre). Expectations are clearly conveyed through assignment descriptions, including the genre and audience of the assigned writing, and evaluative criteria. Students receive feedback on their writing, in written and/or verbal form, from faculty, TAs, and/or peers. Students have at least one opportunity to revise.

First-year college students, biomedical researchers, and CEOs all must be able to write successfully for a range of audiences and situations. Effective research papers, scientific articles, and board reports require more ability and skill than simply using generative AI. In this course, students acquire the tools and confidence to write successfully throughout their college career and beyond. By reading, watching, and listening to a variety of texts, students will examine different formal models and practical strategies for writing in various genres and styles, from the analytic and academic to the reflective and personal. Students will explore core concepts of writing, such as argument and audience, with an emphasis on process and practice.

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.

A writing-intensive course (W) engages students in multiple writing projects, ranging from traditional papers to a wide variety of other forms, distributed throughout the term. Assignments include a mix of high and low stakes writing, meaning that students have the chance to write in informal, low-pressure--even ungraded--contexts, as well as producing larger, more formal writing assignments. Students engage in writing in the classroom through variety of means, including class discussions, workshop, faculty/TA lectures, and class materials (for instance, strong and weak examples of the assigned genre). Expectations are clearly conveyed through assignment descriptions, including the genre and audience of the assigned writing, and evaluative criteria. Students receive feedback on their writing, in written and/or verbal form, from faculty, TAs, and/or peers. Students have at least one opportunity to revise.

This course is designed to give a firm grounding in the basic tools of analysis. It is recommended as preparation (but may not be a prerequisite) for other advanced analysis courses and may be taken as an Introduction to Proofs (IP) course. Topics include the formal properties of real and complex number systems, topology of metric spaces, limits, continuity, infinite sequences and series, differentiation, Riemann-Stieltjes integration. 

Prerequisite: AS.110.201 (Linear Algebra) or AS.110.212 (Honors Linear Algebra) AND AS.110.202 (Calculus III: Calculus of Several Variables) or AS.110.211 (Honors Multivariable Calculus).

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This course continues AS.110.405 (Real Analysis I) with an emphasis on the fundamental notions of modern analysis. Sequences and series of functions, Fourier series, equicontinuity and the Arzela-Ascoli theorem, the Stone-Weierstrass theorem, functions of several variables, the inverse and implicit function theorems, introduction to the Lebesgue integral.

Prerequisite: AS.110.405 (Real Anaylsis I) or AS.110.415 (Honors Analysis I).

A flexible weekly schedule accommodates all student schedules and time zones, and courses include pre-recorded lectures, notes, and interactives to help students learn the material. Assessments include computer-scored items for immediate feedback as well as instructor-graded assignments for personalized learning. Students have access to instructors through email or individual reviews, and weekly instructor-led synchronous problem-solving sessions are recorded for viewing at any time. Students should expect to work a minimum of 5-10 hours per week.

This is an introductory Spanish language course. On completion of this course, the students will have acquired the basic communication and grammatical skills necessary for speaking, writing, listening, and reading in Spanish. Students will demonstrate these skills through their performance in class by completing several online assignments and by taking part in three group presentations in addition to two comprehensive exams which focus on the following thematic topics: Greetings, University Life, Family, and Leisure. Students will also be introduced to the culture, history and geography of various Spanish and Latin American countries. The content covered in Spanish Elements 1 is the foundation for all consecutive Spanish courses. A placement exam is required to ensure the appropriate level. Students wishing to retain credits for Spanish Elements I must complete Spanish Elements II with a passing grade. Your enrollment in Spanish Elements I will not be considered for approval until you have emailed the Spanish Language Director.

This online course is primarily delivered asynchronously; however, your instructor may schedule live interactions as well. Please refer to your syllabus for these opportunities and for important course deadlines.