This program provides a rigorous, undergraduate-level immersion into proof-based discrete mathematics, taught by University of Chicago faculty, preparing students for higher-level mathematical studies.
The UChicago Summer Session - Proof-Based Discrete Mathematics program offers high school students an immersive, undergraduate-level introduction to advanced mathematical thinking and proof techniques. Participants will delve into foundational concepts in set theory, counting, and infinite sets, and explore challenging topics such as paradoxes of infinity, countability, and advanced counting methods. The curriculum emphasizes mathematical discovery and rigorous proof, crucial for transitioning from high school to undergraduate math coursework. Students will strengthen their logical reasoning and analytical skills through daily lectures, small-group problem-solving sessions, and presentations of mathematical arguments. The course also involves daily coding activities, providing a practical application of mathematical concepts. By the end of the program, students will be proficient in communicating mathematical arguments clearly and concisely, and will have gained a deeper understanding of the reasoning behind mathematical principles.
A typical day involves attending lectures in the morning, followed by small-group work sessions on exercises in the afternoon. Students also present their mathematical arguments and findings, and engage in daily coding activities.
This program is ideal for motivated high school students with a strong interest in mathematics, computer science, data science, or statistics, who are looking to bridge the gap between high school and college-level mathematical argumentation and proof.
University of Chicago
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