Students engage directly with Penn professors and graduate students, exploring university-level mathematics through approachable, interactive instruction in a residential Ivy League campus setting.
The Penn Mathematics Academy is an immersive two-week residential program for high school students with a strong interest and aptitude in mathematics. Led by Penn faculty and graduate teaching assistants, the program introduces participants to advanced mathematical concepts typically encountered in undergraduate study through interactive lectures, collaborative problem-solving, and guided discovery. Students will explore the beauty and logic of mathematics as both a creative art and an analytical discipline. The program features deep dives into four advanced topics, such as non-Euclidean geometry and topology, graph theory, game theory and combinatorics, and mathematical logic. Proof writing serves as a unifying foundation, strengthening students' ability to think abstractly, construct rigorous arguments, and communicate their reasoning with clarity and precision. Students will work closely with instructors and peers to tackle complex problems, present solutions, and experience the collaborative process of mathematical discovery, developing conceptual understanding, analytical depth, and transferable skills like teamwork, communication, and resilience in problem-solving.
Each weekday features two main instructional sessions: a morning professor-led deep dive into an advanced topic, followed by an afternoon faculty-led deep dive, and concluding with a TA-led problem session for review and collaborative problem-solving.
This program is best for high-achieving rising sophomores, juniors, and seniors from around the world who have a strong interest and aptitude in mathematics and are looking for a rigorous pre-collegiate experience.
3440 Market Street, Suite 450, Philadelphia, PA 19104
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