中文SUBJECT GUIDE
Proof, abstraction and mathematical inquiry
Start with the question you want to explore, then compare content, prerequisites, learning format and outcomes. Research and university coursework have different rhythms; each entry retains its sources.
PROMYS / Boston University host campus
A six-week residential mathematics programme. A substantial application problem set helps applicants demonstrate independent thinking and sustained mathematical curiosity.
Ross Mathematics Program
A six-week residential programme focused on number theory, abstract ideas and convincing proofs. The programme explicitly distinguishes its approach from contest training.
Stanford Pre-Collegiate Studies
An intensive exploration of abstract algebra and number theory or algebraic topology, combining lectures, guided research and group problem-solving. Courses do not award grades or academic credit.
Stanford Pre-Collegiate Studies
Two-week online, single-subject study across computing, mathematics, bioscience, writing, philosophy and other fields. It is non-credit and ungraded, with completion documentation for students meeting the requirements.
Wharton Global Youth / University of Pennsylvania
A three-week programme progressing from data preparation, visualisation and statistics to modelling and machine learning, with attention to bias, fairness and communication.
Stanford University
An eight-week, in-person summer option for eligible high-school and international applicants. It has a different structure and eligibility framework from Stanford Summer Institutes and SUMaC.
Johns Hopkins Engineering
Explore engineering fields through teaching, experiments and design tasks, with three college credits available on meeting course requirements. The official site distinguishes in-person, online and hybrid options.
Imperial College London
Study science and engineering through teaching, laboratory work and practical tasks at Imperial, with interdisciplinary opportunities for problem-solving.
University of Warwick
Explore science and engineering through lectures, seminars, experiments and practical activities, alongside university preparation. The 2027 course page lists 29 contact hours.
University of Toronto, New College
Courses in areas such as economics, law and ethics, science, literature, cinema, statistics and social psychology introduce students to university subjects.
University of Toronto Engineering Outreach
One-week engineering courses that may be combined. Students apply before registering, with availability and prerequisites depending on the course and grade grouping.
HKU Summer Institute
A university mathematics course in HKU’s secondary-school summer portfolio. The listing indicates six credits and in-person or online delivery; completion and credit-recognition rules require separate checking.
HKU Summer Institute
An interdisciplinary programme spanning computing and data science, engineering, mathematics and science. It is listed as non-credit, with separate session and accommodation details.
PLAN YOUR SUMMER
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