MA4198

MA4198

  • Pass 10 courses (40 units) comprising:
    • MA1100/MA110T
    • MA2001
    • MA2002
    • MA2101/MA2101S
    • MA2104
    • MA2108/MA2108S
    • MA2116/MA2216/ST2131
    • 3 courses (12 units) coded MA22xx / MA32xx / MA42xx (except MAx288 / MAx289 / MAx288x / MAx289x) or ST3236 or ST4251, with at least two at level 3000 or above
  • This is an essential course for all Majors in Mathematics.
  • Students will work in Project Seminar Groups, where a number of students would be allocated with the same topic to work together under one supervisor but they would each submit an individual final report upon completion.
  • A list of topics would be announced via email, to eligible students, some time in July (for Sem 1 projects) / December (for Sem 2 projects). Eligible students would be invited to indicate their preferences.
  • Projects would be allocated by the Department before the start of the semester.
  • Each Group shall have about 6 students and be led by one supervisor who is an academic staff of the Department.
  • Each Group should meet regularly, preferably from week 2 for no fewer than four times.
  • The supervisor would coordinate all activities including seminars, discussions, individual work, presentations and report-writing within a Group.
  • The supervisor would normally assign some (smaller) topics within the broad theme of the Group and it is expected that students’ abilities and performance will be reflected adequately in this framework
  • The supervisor may give one or two preliminary lectures to lay down some foundations for the students in the Group.
  • Each student in a Group is expected to give several talks throughout the project period. The talks should be comprehensible to other students within the same Group as they are expected to learn from such presentations. These presentations will be graded, mainly on how clear and efficient the materials have been presented.
  • Students are strongly encouraged to hold regular study sessions outside regular formal meetings.
  • Each student in a Group is required to write an individual report at the end. Each report should be less than 30 pages long. 
  • A student’s project grade is strictly performance-based and takes into consideration factors such as the level of difficulty of the topic, clarity of presentation, findings in the final report and quality of the report. In particular, there is no a priori maximal or minimal mark.
  • Each student in a Group will be individually graded, and the supervisor is the sole examiner for all students in that Group.
Week, Date Activity Remarks
Before 9 am of first Monday of August (for Sem 1 projects) / January (for Sem 2 projects)

Project and course application

Students to submit application form to Department.

Before 9 am of first Friday of August (for Sem 1 projects) / January (for Sem 2 projects)

Project allocation

Students in mutual agreement may swap projects between themselves, and inform the Department.
Week 1

Start of project

Students to meet respective supervisors.
Before Friday 4.30 pm of Week 12

Final report submission

Students to submit one copy each to the Department and their respective supervisors.
Week 13

Project evaluation and grading

Supervisors to submit grading forms to Department by Monday 9 am of Reading Week.
Ongoing Presentations 30% A significant portion of the marks should be allocated to the clarity of the presentation and evaluation of teaching (pedagogy), as one of the main purpose of such presentations is for other students to learn from the presented materials. These presentation tips may be helpful to students.
Contribution within Group 20% This is to encourage more interaction and fruitful discussions during students’ presentation.
Individual Final Report 50% These report writing tips may be helpful to students.

Click here to download Application Form for Project

Submit your application form to Ms Nor’Aini at matnam@nus.edu.sg by 9am, 8 January 2024.      

Project ID  Project Title     Supervisors
PS2320-01 Analytic properties of wave equations     An Xinliang
PS2320-02 Investigation of efficiency and functionally of tensor software packages    Cai Zhenning
PS2320-03

Hypergeometric functions and basic hypergeometric functions: an introduction

   Chan Heng Huat

PS2320-04 Develop the general theory of the gamma function and explore some of its lesser-known properties.    Chin Chee Whye
PS2320-05 Topic in differential equations    Chua Seng Kee
PS2320-06 Hyperbolic Geometry    DINH Tien Cuong
PS2320-07 The Mathematics of Symmetries    Subhroshekhar GHOSH
PS2320-08 Computable (and non-computable) mathematics    Goh Jun Le
PS2320-09 Quaternion algebras    Loke Hung Yean
PS2320-10 Lie Algebras G2    Zhang Lei

Click here to download Application Form for Project

Submit your application form to Ms Rubiah at matrt@nus.edu.sg by 9am, 5 August 2024      


For Singaporean students who are interested in the DSO projects, click here for details.

To indicate your interest in the DSO projects, please fill in this survey form by 23 June, 2024: https://forms.office.com/r/1MU6VZGiKk

Project ID  Project Title Supervisors

PS2410-01

 Towards the formalization of Coxeter combinatorics

Bao Huanchen

PS2410-02

 Investigation of efficiency and functionally of tensor software packages

Cai Zhenning

PS2410-03

 Basic methods for solving nonlinear equations

Chu Delin

PS2410-04

 Bayesian statistical modelling and inference

Alvin Chua

PS2410-05

 Topic in differential equations

Chua Seng Kee

PS2410-06

 Julia sets and Mandelbrot set

DINH Tien Cuong

PS2410-07

 The Mathematics of AI

Subhroshekhar GHOSH

PS2410-08

 Linear algebraic methods in Combinatorics and Discrete Geometry

Huang Hao

PS2410-09

 Maxwell’s Equations in Curved Space Time

Jonathon Teo

PS2410-10

 Combinatorics of Coxeter groups

Zhang Lei

PS2410-11

 Introduction to Provable Security and Structured Encryption

Ruth Ng Ii-Yung (DSO)

PS2410-12

 Probabilistic Modelling in Structured Encryption Schemes

Ruth Ng Ii-Yung (DSO)

PS2410-13

 Theta functions in genus two isogeny cryptography

Ti Yan Bo (DSO)

PS2410-14

 Endomorphisms of abelian varieties in genus two isogeny cryptography

Ti Yan Bo (DSO)