The Singapore Mathematics Project Festival (SMPF) was inaugurated by the Singapore Mathematical Society in 2001 in recognition of the fact that creative and innovative work in mathematics may best be reflected in project work wherein ideas may be thoroughly explored and carried through from start to finish. The Society received a donation from Mr Foo Fook Lian to establish the Foo Kean Pew Memorial Prizes awarded to projects adjudged to be the best in the respective sections of the Festival.

Programme: | Singapore Mathematics Project Festival |

Participants: | All secondary school students |

Descriptions: | The objective of this activity is 3-fold: (i) to encourage secondary school students in Singapore to carry out and present innovative and creative work in mathematics, (ii) to recognise and emphasise the importance of project-based learning in the secondary school curriculum, and (iii) to complement the examination-based Mathematical Olympiads organised by the Society. |

Dates: | Preliminary Rounds: 8th February 2020 and 15th February 2020Final Round: 4th April 2020 |

Registration Fees: | $50 per project for schools which are SMS institutional members and $60 per project for schools which are non-SMS institutional members. |

Enquiry: | Dr Wang Fei |

Deadlines: | Online Registration: 20th December 2019 – 20th January 2020.Payment and Online Submission of Projects: 20th January 2020 (submission procedure) |

** Gold Medal & Foo Kean Pew Memorial Prize. **

To be announced during the SMS Annual Prize Presentation.

**Gold Medal & Excellent Presentation. **

School/Project Title | Supervisor/Student(s) |

Methodist Girls’ School Seas the day — the bay way | Chan Foong Yee Katharine Eleanor Chong Yong Min Elise Sun Li Lyn Jolene Soh En Yi Claire Chan Kye Sun |

** Gold Medal. **

School/Project Title | Supervisor/Student(s) |

Hwa Chong Institution | Ooi Teong Lin |

Bus route 123 | Liu Yixuan Javier Chan Yan Kai Pierre Yeap Yu Song Chua Rui Hong |

NUS High School of Mathematics and Science | Chia Vui Leong |

The Sylver coinage game | Daniel Ng Chun Kit Dylon Wong Yee Kin |

NUS High School of Mathematics and Science | Chia Vui Leong |

Kami | Shevonne Chia |

** Silver Medal. **

School/Project Title | Supervisor/Student(s) |

NUS High School of Mathematics and Science | Chai Ming Huang |

Playing around with dice | Chek Ze Chan Lim Jin Tao |

Hwa Chong Institution | Ang Lai Chiang |

Solid angles and trigonometry in space | Tey Yi Fan Tan Yan Zhong |

Hwa Chong Institution The math of 2048 | Zong Lixing Wong Kang Zheng Gabriel Goh Hao Xiang Ryan Wong Wern Jieh See Jae Wey Tristan |

** Bronze Medal.**

School/Project Title | Supervisor/Student(s) |

NUS High School of Mathematics and Science | Jiang Zewei Vivian |

Kaprekar’s routine | Jiang Yuzhe |

NUS High School of Mathematics and Science | Jiang Zewei Vivian |

Josephus Problem | Lin Zewei Malcolm Sow Miao Geng Toh Jing En Daniel |

Nanyang Girls’ High School | Elizabeth Liow |

Flawless floors and seamless ceilings | Tam Khai Ning Calista Gan Tze Xin Zhang Minyue |

Zhenghua Secondary School | Ashar Ahmad |

Winning probability in RISK | Ching ZongHan Roh Seyoung Yap Hwee Leng Lim Shu Qi |

Zhenghua Secondary School | Kwek Co Hui |

Working town — Dhoby Ghaut rush | Ng Jia Qi Lim Pei Jun Rena Kuan Yu Kin Joshua Ang Teng Seng |

** Honourable Mention. **

School/Project Title | Supervisor/Student(s) |

Hwa Chong Institution | Wang Qian |

House of math V2 | Tan Ler Asher Ng Calen Tang Loh Chi Wen |

Hwa Chong Institution | Chen Zenghui |

Polyas orchard problem | Phua Jun Kai Ryan Lim Hong Wei Lee Chang Feng Nigel Wang Wen Le |

Paya Lebar Methodist Girls’ School (Secondary) | Kok Lai Fong |

The doomsday clock | Amatatsu Yuko Clarice Aydelynn Lee Elizabeth Lim Qian En Mandy Lim Ya Hui |

** Excellent Presentation.**

School/Project Title | Supervisor/Student(s) |

Anderson Secondary School A quantitative analysis of the MRT travel time Apps | Mohamed Alfin H R Neo Jia Qi Jolie Lin Zhiyu Tan Le Hao Jayden Seah Wei Xiong Yee Shao Qiang |

Gold Medal & Foo Kean Pew Memorial Prize.

To be announced during the SMS Annual Prize Presentation

** Gold Medal with Excellent Presentation. **

School/Project Title | Supervisor/Student(s) |

NUS High School of Mathematics and Science | Lee Chan Lye |

Regular matchstick graphs | Ho Li Xiong Timothy Tan Kin Hern |

** Gold Medal. **

School/Project Title | Supervisor/Student(s) |

Hwa Chong Institution | Ang Lai Chiang |

The optimization of taxi services in Singapore through data analysis | Tin En Hao Justin Tan Chern Lin Yeoh Yong Jie |

NUS High School of Mathematics and Science | Chai Ming Huang |

Partition function of a idealised liquid crystal | Alexander Goo Zong Han |

** Silver Medal with Excellent Presentation. **

School/Project Title | Supervisor/Student(s) |

Anderson Secondary School | Mohamed Alfin H R |

A simple approach to the tiling problem using recursive sequence | Le Viet Hung Huang Keyi Jin Qingyang Tan Yiming |

** Silver Medal. **

School/Project Title | Supervisor/Student(s) |

Hwa Chong Institution | Chen Zenghui |

Gridlock | Benson Lin Zhan Li Lee Qixiu Galen Loh Yan Xun Timothy |

NUS High School of Mathematics and Science | Lee Tuo Yeong |

Application of infinite series to definite integrals | Kim Yongbeom Wong Swee Chong Dave Wu Ling Bo |

** Bronze Medal with Excellent Presentation. **

School/Project Title | Supervisor/Student(s) |

Catholic High School | Chng Xun Qi |

Magic tricks based on number systems and error correction code | Ng Kok Chen Xu Xiuhua Qi Leyan Roderick Kong Zhang |

Catholic High School | Cai Wenchuan |

Tetris — efficient strategies to beat the game | Cham Zhi Xian Jos Jerald Tham Jie Long Yong Ee |

NUS High School of Mathematics and Science | Chai Ming Huang |

Parrondo’s paradox | Li Yue Chen |

**Bronze Medal. **

School/Project Title | Supervisor/Student(s) |

NUS High School of Mathematics and Science | Jiang Zewei Vivian |

Analysing plane curves by support functions | Trivikram Mohan Vishal Mohanty Yen Jun Hung |

Hwa Chong Institution | Wang Qian |

Budget travellers | Stuart Lim Yi Xiong Si Wen Xuan Terry Chen Yiming Loh Kai Kiat Keith |

Anderson Secondary School | Mohamed Alfin H R |

Robotic vacuum cleaner — a mathematical perspective | Lei Lingkai Luo Zhiyang Li Boting Yu Xiaoqiao |

- Economics has long been a crucial part of our daily life, as it is the study of the production, consumption and transfer of goods and wealth. Why is there inflation? Why does the petrol price fluctuate frequently? Why do certain stocks rise while others plummet? To model, explain and predict the behaviors behind these activities, economists turn to Mathematics and obtain an astonishing success.
- The main objectives of this year’s competition are to introduce the students to the different branches of economics, such as microeconomics, macroeconomics, game theory and finance, and to let the students understand how mathematics is applied in them.
- We also hope that through this competition, students will be exposed to a variety of different mathematics topics such as calculus, differential equations, functional analysis, convex sets, optimization, graph theory, dynamic analysis, Monte Carlo method, Brownian motion, stochastic calculus, probability, statistics, modeling, etc.

1st | Basic Mathematical Optimisation in Economics Shrimay Bikash Saikia Raffles Institution |

2nd | The Economics of Queueing How Yun Hsuen Inge National Junior College |

3rd | Mathematics and Economics in The World Selvakumar Vigneshwaran NUS High School of Math & Science |

1st | Application of Game Theory in Current Affairs Chu Sida Bai Zirui Xu Yixiang Nan Hua High School |

2nd | Mathematics and Economics Ng Wei Ming Soh Yong Xiang Hwa Chong Institution |

3rd | Multiple Linear Regression Models – Predicting Resignation Rate in Singapore Labour Market Guru Anand Anish St. Joseph’s Institution |

1st | Climate Change: A Case of The Tragedy of the Commons And Its Potential Solution Alfred Tan Kok Loong Peh Ze Rong Pala Tej Deep Nanyang Junior College |

2nd | Optimal Auction Design and Application in Facebook Sponsored Advertisements Ge Shu Victoria Junior College |

3rd | Analysis of Price Wars in Oligopolistic Markets Nguyen Minh Tuan National Junior College |

- The General Pascal’s Triangle
*Goh Bo Tao, Goh Tiong Gee* - Kami
*Shevonne Chia* - The Optimisation of Taxi Services in Singapore Through Data Analysis
*Tin En Hao, Tan Chern Lin, Justin, Yeoh Yong Jie* - Singapore Mathematics Project Festival 2019
- Singapore International Mathematical Olympiad 2019
*National Team Selection Test*

Bielefeld University Methodist Girls’ School:

Seas the day — the bay way Click to view]]>

**Dr Hang Kim Hoo**

Dr Hang has been the Singapore Mathematical Society’s Vice-President since 1994. He was one of the pioneers who started the Singapore Mathematical Olympiads in 1995. He was also among the pioneers who helped in the preparation of Singapore IMO National Teams from 1990 to 1995. Dr Hang holds a PhD in Pure Mathematics, a MSc in Statistics and MEd in Mathematics Education. He has made many significant contributions to Mathematics Education throughout his career including when he was the Principal of NUS High School of Mathematics and Science from 2007 to 2015, and is still actively contributing to Mathematics Education.

**Mr Wang Haibin**

Mr. Wang is a Member of the Singapore International Mathematical Olympiad C0mmittee since 2010. He has been conducting training for the junior, senior and national squads, setting and marking national team selection test, and preparing the team for IMO and other international competitions. Currently, Mr. Wang is working as a consultant for NUS High School of Mathematics and Science.

This workshop is suitable for secondary school mathematics teachers and focuses on the infusion of mathematical problem solving, problem posing and task designs in developing and preparing students for Mathematical Olympiads. The workshop will illustrate how well taken scaffoldings can effectively develop students’ mathematical reasoning and problem solving skills. Some illustrations will also be presented to provide insights into the important roles some mathematical problem techniques play in solving some classes of Mathematical Olympiad problems.

For Teachers

1 Oct 2019 (Tue) 3 – 5:30 pm

Block S17, Level 4 Department of Mathematics, NUS

Register here

General (Suitable for students at Secondary Level and above)

This lecture series will feature eminent local mathematicians or mathematics educators to share with the public some of their interests and ideas.

Professor Nicolas Privault, Nanyang Technological University

Nicolas Privault received his PhD in probability in 1994 from the Pierre and Marie Curie University, and is a Professor at the Nanyang Technological University. His research interests are in stochastic analysis, including stochastic inequalities, probability approximation, probabilistic methods for PDEs, and applications in finance and insurance.

There is a popular belief that Probability Theory, also known as the science of uncertainty, can only lead to uncertain conclusions.

This talk will consider a number of situations where probability theory is able to extract certainty and to make definitive statements on random systems and structures. The exposition will be based on an informal introduction to measure theory, and supported by some live computer experiments.

March 12 (Tuesday) 2019 / 4-5pm

https://sms.math.nus.edu.sg/smsls/register.aspx

For catering purposes, we request all attendees to register. School teachers may do group registration for their students and teachers by choosing the “group registration” option and indicate the number of people attending the lecture in the online registration form.

Free

Dr Tang Wee Kee

weekeetang@ntu.edu.sg

**Professor Michael Röckner** is the immediate past President of the German Mathematical Society (DMV). He received his doctorate from the University of Bielefeld. He became professor in Bonn in 1990 and in Bielefeld in 1994. He is the winner of the Max Planck Research Award 1992 and has been the Dean of the Faculty of Mathematics in Bielefeld.

Professor Röckner works in the area of stochastic analysis. He is one of the most cited authors in the field of stochastic analysis and involved in numerous international activities, which have shaped developments in the field over the last three decades.

**Solutions of SPDE as zeros of maps on scaled path spaces**

Joint work with Viorel Barbu (Romanian Academy of Sciences, Iasi)

It has been recently shown that the solutions of a large class of stochastic partial differential equations (SPDE) can be obtained as zeros of a properly defined map on a path space equipped with a norm which is “scaled” by the exponential of a function-valued Brownian motion. In the talk this result will be reviewed and connected to current developments about the case where the underlying SPDE is a gradient flow, perturbed by linear multiplicative noise. In this case it follows from the above result and by applying methods from the calculus of variations that the solution minimizes a certain explicit convex functional on the path space. Applications include stochastic porous media equations, stochastic nonlinear parabolic equations (as e.g. the stochastic Cauchy problem for the p-Laplacian) and in the non-gradient case also stochastic nonlinear transport equations.

Mathematicians and Researchers

August 28 (Wednesday) 2019

2.00 pm – 3.00 pm

NUS S17 04-04 (**map**)

Free

(No registration required)

**Nonlinear Fokker-Planck equations and distribution dependent SDE**

It is a classical problem to present a solution of a PDE as the density of the time marginal distributions of a stochastic process. If the PDE is a linear Fokker-Planck equation, then by classical stochastic analysis this is known to be true under very general conditions. For nonlinear Fokker-Planck equations the situation is much more difficult and only known to be true under very restrictive assumptions on the regularity of the (nonlinear) dependence of the coefficients in the Fokker-Planck equations on the solutions. In this talk a new general concept is presented, how to find the desired stochastic process (similarly as in the linear case) through solving a corresponding stochastic differential equation (SDE), whose coefficients, however, depend on the marginal distributions of its solution (DDSDE). The point is that this new general concept does not require strong regularity assumptions on the coefficients (as e.g. fulfilled for McKean-Vlasov type equations) and thus does not rule out a lot of other nonlinear Forker-Planck equations of interest in Physics. As an example it will be shown that it can be applied to the case, where the nonlinear Fokker-Planck equation is a generalized porous media equation on d-dimensional Euclidean space (with d arbitrary), perturbed by a transport term. So its solution is the density of the time marginal distributions of a (tractable) stochastic process solving a corresponding DDSDE. Apart from its conceptual interest this result could lead to new numerical approximations of solutions to nonlinear Fokker-Planck equations through numerically solving the corresponding DDSDE.

In the first part of the talk, we shall recall the general connection between stochastic differential equations and (both linear and nonlinear) Fokker-Planck equations.

Mathematicians and Researchers

August 29 (Thursday) 2019

2.00 pm – 3.00 pm

Nanyang Technological University SPMS MAS Executive Classroom 1 (**map**)

Free

(No registration required)

**Finding Order in Disorder: Mathematics is Everywhere**

The lecture will present an example of a topic in mathematics which is rooted in elementary school mathematics, materializes later again in high school as well as in university mathematics and finally turns out to be a part of current mathematical research with striking applications, for example in modeling dynamical processes in finance or climatology. Another aim of the lecture is to convince the audience that in order to really understand our environment, both in its phenomenological and quantitative analysis, one has to take into account the influence of randomness.

General public

August 30 (Friday) 2019

4.00 pm – 5.00 pm

National University of SingaporeBlock S17, LT34 (