2024 Events
Workshop on Algebra
Groups and Symmetries
Date
5 Aug 2024 and 7 Aug 2024
Time
09:30 - 12:30
Speaker
Prof. Michael McBreen
Target
Senior secondary students with strong foundation and keen interest in advanced mathematical theories
Medium of Instruction
English
Introduction
The workshop targets talented students with a deep interest in mathematics. It will provide participants with an opportunity for further study of algebra, which develops their ability in abstract and logical thinking. Participating students are required to complete coursework to understand their learning status.
Abstract
This workshop explores the world of groups and symmetries. We will start with some basic questions: what are the symmetries of a human face? A tea cup? A sphere? We will see how symmetry can be used to solve seemingly complex problems in beautifully simple ways, and get to know some of the weirder groups of symmetries in two and three dimensions. We will examine attempts to classify symmetry groups. We will try and understand both the successes and the failures of this approach, and finally we will glimpse some of the enduring mysteries of the subject.
Workshop on Mathematical Modelling
Game Theory Unlocked
Date
5 Aug 2024 and 7 Aug 2024
Time
14:30 - 17:30
Speaker
Dr. Lily Li Pan
Target
Senior secondary students (preferably knowing calculus)
Medium of Instruction
Cantonese supplemented with English
Introduction
The activity gives senior secondary students an introduction to mathematical modelling, which aims to develop students' mathematical skills to solve real-life problems systematically. This event welcomes students interested in applied mathematics.
Abstract
Game theory, a captivating branch of mathematics, offers a unique perspective on strategic decision-making, with applications spanning diverse fields such as economics, politics, biology, and psychology. In this workshop, students will have the opportunity to delve into the fundamental concepts of game theory and explore how these principles can be applied to real-world challenges. Through interactive games and engaging discussions, students will gain valuable insights into strategic thinking and problem-solving.
Lecture Series on Foundations of Mathematics
The Line, the Square and the Cube: does dimension matter in size?
Date
31 Aug 2024, 7 Sep 2024 and 14 Sep 2024
Time
09:30 - 12:30
Speakers
Dr. Wing Chung Fong, Dr. Kai Leung Chan
Target
Senior secondary students with strong foundation and keen interest in advanced mathematical theories
Medium of Instruction
Cantonese supplemented with English
Introduction
The lecture series will consist of three lectures. It aims to attract secondary school students with a strong interest in mathematics and introduce them to mathematical concepts such as set theory, logic, mathematical proofs, relations, and functions in a rigorous way. Students will understand how to construct mathematical objects in terms such as sets and elements. This series of lectures is expected to attract 50 students, and participating students will be awarded certificates if they complete the coursework and reach a satisfactory level.
Abstract
In this lecture series, we shall introduce the notions of relations, functions, and equipotence. This will culminate in an exploration in the counter-intuitive ideas about cardinality and infinity first discovered by Georg Cantor, which changed the landscape of the mathematical world forever. Prepare to be enlightened and inspired by the depth and elegance of these fundamental mathematical concepts.
Mathematics Day Camp - Boolean Algebra and its Applications
Speakers
Dr. Kai Leung Chan, Dr. Lily Li Pan
Introduction
The Day Camp is a whole-day mathematics-oriented STEM activity. During the day camp, the speakers introduce the basics of mathematics, such as sets, functions, and logic, and provide an introduction to Boolean Algebra. Participants will apply mathematics knowledge acquired to circuit design and minimization. They will also construct circuits to solve real-life problems in the hands-on activities provided.
1st round
Date:
17 Feb 2024
Participating Schools:
Hong Kong True Light College Kowloon True Light Middle School True Light Girls' College True Light Middle School of Hong Kong
2nd round
Date:
11 May 2024
Participating Schools:
Chan Sui Ki (La Salle) College Henrietta Secondary School St. Stephen's Church College TWGHs. Kap Yan Directors College
3rd round
Date:
13 Jul 2024
Participating Schools:
Baptist Lui Ming Choi Secondary School Cheung Chuk Shan College Kiangsu-Chekiang College (Shatin) LKWFSL Lau Wong Fat Secondary School
4th round
Date:
20 Jul 2024
Participating Schools:
S.K.H. Lam Woo Memorial Secondary School Shatin Pui Ying College Wah Yan College (Kowloon) Yuen Long Merchants Association Secondary School
Click here for more details.
Schools interested in this activity are welcome to contact us by email via outreach@math.cuhk.edu.hk for more information.
Sponsorship for Two Algebraic Courses
Introduction
Starting from 2024, The TUYF Charitable Trust will sponsor two algebraic courses, “Towards Modern Algebra” and “Introduction to Discrete Mathematics”, which will be offered every summer, along with our popular Enrichment Programme for Young Mathematics Talents (EPYMT) organized by the Department. These two courses are expected to attract 80 secondary school students to enrol. Upon completion of the courses and fulfilling the requirements as specified, students are eligible to apply for 1 credit exemption when they study at CUHK. Continuing its support to Hong Kong True Light College, the Mathematics Department will invite the school to recommend three high school students to participate in the course.
Towards Modern Algebra
Speaker:
Dr. Charles Chu Che Li
Content:
This course will introduce the basic concepts of abstract algebra, including groups, rings and fields.
Introduction to Discrete Mathematics
Speaker:
Dr. Ming Ho Ng
Content:
This course will introduce basic mathematical topics, such as the concept of sets, logic, proofs and their applications in various areas including graph theory and game theory.
Click here for more information about EPYMT.
Elite Student Mentorship Programme
Introduction
The Department of Mathematics will nominate outstanding students in different activities (including EPYMT) to participate in this mentorship programme. This programme will be conducted in a group format, with a supervisor leading several students to explore a specific topic. Participating students will be required to read books or journal papers recommended by their supervisor, report their study progress regularly, and submit a written report upon completion of their studies.
Group 1
Supervisor:
Dr. Xiaoli Lin
Title:
Exploration of Calculus and Real Analysis
Duration:
July - August 2024
Group 2
Supervisor:
Dr. Hugo Wai Leung Mak
Title:
From Set Theory, Properties of Functions to Abstract Algebra
Duration:
August - November, 2024
Group 3
Supervisor:
Dr. Hugo Wai Leung Mak
Title:
The Use of Elementary Set Theory, Functional Equations and Inequalities in Solving Algebra Problems
Duration:
August - November, 2024
Group 4
Supervisor:
Dr. Charles Chun Che Li
Title:
(Upon communication between the department and participating students)
Duration:
September - December, 2024
Schools interested in this activity are welcome to contact us by email via outreach@math.cuhk.edu.hk for more information.