BIMSA Math Circle I (2025-2026)
【适合12-18岁热爱探索奥林匹克数学的学生】
你是否享受解谜挑战、突破思维边界的过程？
加入BIMSA数学兴趣小组，你将潜入数学奥林匹克式的解题世界——一个充满创意、逻辑与发现的天地！
🔹 BIMSA数学兴趣小组是什么？
这是一个每周开展的系列课程，旨在：
• 引领学生领略奥林匹克数学之美
• 探索数论、组合数学、几何与代数领域的解题艺术
• 通过AMC（美国数学竞赛）、AIME（美国数学邀请赛）及IMO（国际数学奥林匹克）真题实践训练
• 培养创造性思维，突破公式记忆的桎梏
🔹 参与条件
面向12-18周岁学生（7-11年级）
欢迎所有热爱数学的学习者——无需竞赛基础，有探索热情即可！
🔹 课程内容
• 在趣味协作氛围中解决具有挑战性的数学问题
• 学习奥赛优胜者的解题策略与方法
• 在经验丰富的导师指导下进行小组研讨
🔹 为何加入？
• 培养卓越的解题能力与逻辑思维
• 亲历奥赛数学的思维激荡
• 可为竞赛备战——亦能纯粹享受探索数学深处的乐趣
• 加入热爱学习、勇于自我挑战的学术社群
English version: For Students Ages 12–18 Who Want to Explore Olympiad Mathematics
Do you enjoy solving puzzles, challenging yourself, and thinking outside the box?
At the BIMSA Math Circle, you’ll dive into the world of Math Olympiad–style problem solving—a world of creativity, logic, and discovery!
🔹 What is the BIMSA Math Circle?
A weekly program designed to:
• Introduce students to the beauty of Olympiad mathematics
• Explore problem-solving in number theory, combinatorics, geometry, and algebra
• Practice with problems inspired by AMC, AIME, and IMO competitions
• Develop creative approaches rather than memorizing formulas
🔹 Who can join?
Students ages 12–18 (grades 7–11)
Enthusiastic learners at any level—no prior competition experience needed!
🔹 What will we do?
• Solve challenging math problems in a fun and collaborative setting
• Learn strategies used by successful Olympiad participants
• Work in small groups, guided by experienced instructors
🔹 Why join?
• Build powerful problem-solving and logical reasoning skills
• Experience the excitement of Olympiad mathematics
• Prepare for contests—or just enjoy the adventure of deep mathematics
• Become part of a community that loves to learn and challenge themselves
你是否享受解谜挑战、突破思维边界的过程？
加入BIMSA数学兴趣小组，你将潜入数学奥林匹克式的解题世界——一个充满创意、逻辑与发现的天地！
🔹 BIMSA数学兴趣小组是什么？
这是一个每周开展的系列课程，旨在：
• 引领学生领略奥林匹克数学之美
• 探索数论、组合数学、几何与代数领域的解题艺术
• 通过AMC（美国数学竞赛）、AIME（美国数学邀请赛）及IMO（国际数学奥林匹克）真题实践训练
• 培养创造性思维，突破公式记忆的桎梏
🔹 参与条件
面向12-18周岁学生（7-11年级）
欢迎所有热爱数学的学习者——无需竞赛基础，有探索热情即可！
🔹 课程内容
• 在趣味协作氛围中解决具有挑战性的数学问题
• 学习奥赛优胜者的解题策略与方法
• 在经验丰富的导师指导下进行小组研讨
🔹 为何加入？
• 培养卓越的解题能力与逻辑思维
• 亲历奥赛数学的思维激荡
• 可为竞赛备战——亦能纯粹享受探索数学深处的乐趣
• 加入热爱学习、勇于自我挑战的学术社群
English version: For Students Ages 12–18 Who Want to Explore Olympiad Mathematics
Do you enjoy solving puzzles, challenging yourself, and thinking outside the box?
At the BIMSA Math Circle, you’ll dive into the world of Math Olympiad–style problem solving—a world of creativity, logic, and discovery!
🔹 What is the BIMSA Math Circle?
A weekly program designed to:
• Introduce students to the beauty of Olympiad mathematics
• Explore problem-solving in number theory, combinatorics, geometry, and algebra
• Practice with problems inspired by AMC, AIME, and IMO competitions
• Develop creative approaches rather than memorizing formulas
🔹 Who can join?
Students ages 12–18 (grades 7–11)
Enthusiastic learners at any level—no prior competition experience needed!
🔹 What will we do?
• Solve challenging math problems in a fun and collaborative setting
• Learn strategies used by successful Olympiad participants
• Work in small groups, guided by experienced instructors
🔹 Why join?
• Build powerful problem-solving and logical reasoning skills
• Experience the excitement of Olympiad mathematics
• Prepare for contests—or just enjoy the adventure of deep mathematics
• Become part of a community that loves to learn and challenge themselves
讲师
日期
2025年11月23日 至 12月28日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周日 | 16:00 - 17:30 | A6-101 | ZOOM 01 | 928 682 9093 | BIMSA |
课程大纲
教学内容：代数、组合数学、几何、数论
课程日历：
• 第一讲：代数-恒等式与不等式基础（2025/11/23）
• 第二讲：代数-数学归纳法（2025/11/30）
• 第三讲：几何-三角形的基本度量关系（2025/12/07）
• 第四讲：几何-三角形重要的点与线（2025/12/14）
• 第五讲：数论-整除性与模运算（2025/12/21）
• 第六讲：组合数学-抽屉原理（2025/12/28）
Course Outline:
Algebra, Combinatorics, Geometry, Number Theory
Course Calendar:
• Lecture 1: Algebra-Basic identities and inequalities (2025/11/23)
• Lecture 2: Algebra-Mathematical induction (2025/11/30)
• Lecture 3: Geometry-Basic metric relations in a triangle (2025/12/07)
• Lecture 4: Geometry-Important points and lines in a triangle (2025/12/14)
• Lecture 5: Number Theory-Divisibility and modular arithmetic (2025/12/21)
• Lecture 6: Combinatorics-Pigeonhole principle (2025/12/28)
课程日历：
• 第一讲：代数-恒等式与不等式基础（2025/11/23）
• 第二讲：代数-数学归纳法（2025/11/30）
• 第三讲：几何-三角形的基本度量关系（2025/12/07）
• 第四讲：几何-三角形重要的点与线（2025/12/14）
• 第五讲：数论-整除性与模运算（2025/12/21）
• 第六讲：组合数学-抽屉原理（2025/12/28）
Course Outline:
Algebra, Combinatorics, Geometry, Number Theory
Course Calendar:
• Lecture 1: Algebra-Basic identities and inequalities (2025/11/23)
• Lecture 2: Algebra-Mathematical induction (2025/11/30)
• Lecture 3: Geometry-Basic metric relations in a triangle (2025/12/07)
• Lecture 4: Geometry-Important points and lines in a triangle (2025/12/14)
• Lecture 5: Number Theory-Divisibility and modular arithmetic (2025/12/21)
• Lecture 6: Combinatorics-Pigeonhole principle (2025/12/28)
参考资料
[1] Arthur Engel, Problem Solving Strategies, Springer Verlag, 1998.
[2] Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic, The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition (Problem Books in Mathematics), Springer Verlag 2011.
[3] Sergey Dorichenko, A Moscow Math Circle: Week-by-week Problem Sets, Mathematical Sciences Research Institute (Mathematical Circles Library), 2012.
[4] Zvezdelina Stankova, Tom Rike, A Decade of the Berkeley Math Circle: The American Experience, Volume 1, Mathematical Sciences Research Institute (Mathematical Circles Library), 2008.
[5] Zvezdelina Stankova, Tom Rike, A Decade of the Berkeley Math Circle: The American Experience, Volume 2, Mathematical Sciences Research Institute (Mathematical Circles Library), 2015.
[2] Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic, The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition (Problem Books in Mathematics), Springer Verlag 2011.
[3] Sergey Dorichenko, A Moscow Math Circle: Week-by-week Problem Sets, Mathematical Sciences Research Institute (Mathematical Circles Library), 2012.
[4] Zvezdelina Stankova, Tom Rike, A Decade of the Berkeley Math Circle: The American Experience, Volume 1, Mathematical Sciences Research Institute (Mathematical Circles Library), 2008.
[5] Zvezdelina Stankova, Tom Rike, A Decade of the Berkeley Math Circle: The American Experience, Volume 2, Mathematical Sciences Research Institute (Mathematical Circles Library), 2015.
视频公开
公开
笔记公开
公开
语言
中文
, 英文
讲师介绍
Cezar Lupu obtained his PhD degree from the University of Pittsburgh in 2018 with a thesis on special values of Riemann zeta and multiple zeta functions under the supervision of Piotr Hajlasz and William C. Troy. Between 2018-2021, he was a postdoctoral scholar at Texas Tech University under the mentorship of Razvan Gelca and Dermot McCarthy. In 2021, he moved to China as a postdoctoral fellow at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and Tsinghua University under the mentorship of Shing-Tung Yau until 2024. His main research interests are in the areas of number theory, analysis and special functions. Most of his recent research is centered around special values of L-functions and multiple zeta functions which play an important role at the interface of analysis, number theory, geometry and physics. He taught numerous courses at Pitt and TTU both undergraduate and graduate ranging from calculus and linear algebra to abstract algebra and real analysis. Also, he coached the best undergraduate students for the William Lowell Putnam Mathematical Competition. After moving to China, he taught courses at the Qiuzhen College, Tsinghua University. Together with other colleagues from Tsinghua University, he is organizing the Shadow Putnam Mathematical Competition at the Qiuzhen College. Moreover, starting 2023, he is the academic director of the International Mathematics Summer Camp (IMSC).