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Undergraduate Research Opportunity Programme in Science

Why UROPS?

General info and eligibility

To propose a project (for staff)

Signing up

Schedule

Assessment

Archive of past projects


Why UROPS?

Participation in UROPS allows the student the opportunity to engage in independent learning and research.  It also affords the student the chance to delve into topics that may not be present in the regular curriculum. For more information, please refer to http://www.science.nus.edu.sg/Undergraduate/Spprog/UROPS/.


General info and eligibility

A UROPS project may be either 4MC (1 semester duration) or 8MC (2 semesters duration).  It can be at Level 2 (MA2288 and/or MA2289) or Level 3 (MA3288 and/or MA3289).  At most one of these modules (4 MC) can be counted towards the requirements for majoring in Mathematics and/or Applied Mathematics

A student who wish to enrol in a Level 2 UROPS module must have

(1) Completed at least 1 semester;

(2) A CAP of 3.00 or higher.

A student who wish to enrol in a Level 3 UROPS module must have

(1) Completed at least 3 semesters;

(2) A CAP of 3.00 or higher.


To propose a project (for staff)

As of academic year 2001/2002, UROPS project proposals can only be made online.  

  1. Go to the link http://www.science.nus.edu.sg/Staff/intranet/ (entrance to the Faculty Staff Intranet).  You will need your Staff no. and Pin no. to login.

  2. Click on Undergraduate and then UROPS matters on the following page.

  3. The relevant items are:

  • Alter Project -- to make changes to proposals previously submitted

  • Delete Project -- to delete a project proposal 

  • Submit Project -- to submit a project proposal.

  1. You may now indicate the level of the project on the project proposal.  Changes may be made by going to the Alter Project link.


Signing up for UROPS

Browse through the project proposals on offer during the online registration period. You are strongly encouraged to speak with the supervisor of a project before you sign up for it. 


Schedule 2002/2003 

 

UROPS Semester 1 2002/2003 Schedule

27 May - 15 Jun 2002  Application opens for students to meet supervisors
17 Jun - 22 Jun 2002 Online Registration (UROPS Only)
24 Jun 2002 Start UROPS project 
24 Jun - 13 Jul 2002 Drop w/o penalty (4 or 8MC)
15 Jul - 20 Jul 2002 Drop with "W" (4 or 8MC) 
22 Jul 2002 onwards Drop with "F" (4 or 8MC) 
25 Sep 2002  Submission of abstract & full report to Dept Coordinator 
30 Sep 2002 Submission of 4-page abstract (softcopy) to Dean's Office

                

UROPS Semester 2 2002/2003 Schedule

4 Nov - 30 Nov 2002  Application opens for students to meet supervisors
2 Dec - 11 Dec 2002 Online Registration (UROPS Only)
12 Dec 2002 Start UROPS project 
12 Dec 2002- 2 Jan 2003 Drop w/o penalty (4 or 8MC)
3 Jan - 10 Jan 2003 Drop with "W" (4 or 8MC) 
11 Jan 2002 onwards Drop with "F" (4 or 8MC) 
2 Apr 2003  Submission of abstract & full report to Dept Coordinator 
5 Apr 2003 Submission of 4-page abstract (softcopy) to Dean's Office

 

Click here to view the diagram UROPS 2002 schedule


Assessment

Assessment of a UROPS project is to be carried out by the Supervisor and an Examiner invited by the Supervisor to assess the project. The Examiner shall normally be an academic staff of the Department of Mathematics. Exceptions may be granted subject to the approval of the Head of the Department. There are three components in the assessment of a UROPS Project. The weight of each part is as indicated.

1.      Written Report (60%)

This consists of a systematic study and elaboration of the topic of the UROPS Project. No later than two weeks before the deadline for submission of abstract and full report to the departmental coordinator, the student shall submit one copy of the report each to the Supervisor and the Examiner. The report shall be typed on A4 size paper, and shall include a title page (see the attached format).

2.      Oral Presentation (10%)

The student is required to give an oral presentation on the work done. The oral presentation shall last between 30 to 45 minutes. It is to be assessed by the Supervisor and the Examiner.     

3.      Interview (30%)

Soon after the oral presentation, the student shall appear in an interview conducted by the Supervisor and the Examiner. The purpose of the interview is to allow the assessors to further probe the studentís understanding of the material presented in the project. The interview shall last about 30 minutes.

Submission of abstract and full report

On or before the specified deadline, the student submits one soft copy of the final report to the Department. A soft copy (in PDF format) of a four-page abstract of the report shall be submitted at the same time (sample abstract).  Information concerning the approved forms of software can be obtained from the UROPS coordinator, Department of Mathematics.


Archive of UROPS projects in the Department of Mathematics

1999/2000

  1. Strongly Connected Spaces by Dai Bo.  Supervisor : Dr. Wong Yan Loi.  Abstract.  Complete report in:  PDF format, Microsoft Word format.

  2. The Chinese Calendar of the Later Han Period by Kuan Shau Hong and Teng Keat Huat.  Supervisor : A/P Helmer Aslaksen.  Abstract.  Complete report in:  Microsoft Word format.

  3. On the Hamiltonian Laceability of Brick Products by Ng E-Jay.  Supervisor : A/P Chen Chuan Chong.  Abstract.  Complete report in:  PDF format (Appendices).

  4. Construction of Binary Linear Codes by Soh Joo Kiat, Kenneth.  Supervisor : Dr. Xing Chaoping.  Abstract.  Complete report in:  PDF format, DVI format.

2000/2001

  1. The Signature of G0(N) and G0+(N) by Lau Jing Feng.  Supervisor : A/P Lang Mong Lung.  Abstract.  Complete report in:  PDF format, DVI format.

  2. Immanents of Random Graphs by Ng E-Jay.  Supervisor : Dr. Chan Onn, A/P Tan Ser Peow. Abstract.  Complete report in:  PDF format.

  3. Calendars, Interpolation, Gnomons and Armillary Spheres in the Work of Guo Shoujing (1231-1341) by Ng Say Tiong.  Supervisor : A/P Helmer Aslaksen.  Abstract.  Complete report in:  PDF format.

  4. Trip Matrix and the Jones Polynomial by Lim Wen Chiang.  Supervisor : Dr Wong Yan Loi.  Abstract.  Complete report in:  PDF format.

  5. Construction of the Real Number System by Sng Chee Hien, Gary.  Supervisor : A/P Denny Leung. Abstract.  Complete report in:  PDF format.

  6. Algebraic and Transcendental Numbers by Lau Wee Lip, Jonathan.  Supervisor : Dr Lim Chong Hai.  Abstract.  Complete report in:  PDF format.

  7. Algebraic and Transcendental Numbers by Toh Wee Kwang.  Supervisor : Dr Lim Chong Hai.  Abstract.  Complete report in:  PDF format.

  8. Value at Risk by Dai Bo.  Supervisor : Dr Arie Harel.  Abstract.  Complete report in:  PDF format.

  9. The Mathematics of Sundials by Liew Huay Ling and Lim Siew Yee. Supervisor : A/P Helmer Aslaksen.  Abstract.  Complete report in:  webpage (viewable with Internet Explorer only).

  10. Strings of Long Months and Short Months in the Chinese Calendar by Zhang Jieping. Supervisor : A/P Helmer Aslaksen.  Abstract.  Complete report in:  Microsoft Word format.

  11. Lunar Visibility and the Islamic Calendar by Leong Wen Xin. Supervisor : A/P Helmer Aslaksen.   Abstract.  Complete report in: PDF format.

  12. Indian Calendars by Daphne Chia. Supervisor : A/P Helmer Aslaksen.  Abstract.  Complete report in: PDF format.

  13. The Mathematics of Astrology by Heng Ser Guan, Kevin. Supervisor : A/P Helmer Aslaksen. Abstract.  Complete report in: PDF format.

  14. The Sun in the Church by Ng Yoke Leng. Supervisor : A/P Helmer Aslaksen).  Abstract.  Complete report in: PDF format.

  15. Elements of Finite Orders of GL4(Z) by Carolina Ardela. Supervisor : A/P Lang Mong Lung.  Abstract.  Complete report in: DVI format (Appendix).

  16. Galois Theory and Its Applications by Ling Kin Yew. Supervisor : Dr Victor Tan.  Abstract.  Complete report in: Microsoft Word format.

  17. Quantum Algorithms for Wavelet Transforms and Their Applications by Darwin Gosal. Supervisor : A/P Wayne Lawton.  Abstract.  Complete report in: Postscript format.

  18. The Game of Kalah by Pok Ai Ling, Irene. Supervisor : A/P Tay Tiong Seng.  Abstract.  Complete report in: PDF format.

  19. Analysis of Kalah by Wee Ee Ching. Supervisor : A/P Tay Tiong Seng.  Abstract.  Complete report in: PDF format.

  20. Curves for the Elliptic Curves Cryptosystem by Teo Kai Meng. Supervisor : A/P Xing Chaoping. Abstract.  Complete report in: PDF format.

  21. Sylow 2-Subgroups of the Symmetric Group by Kok Yik Siong, Roddy. Supervisor : A/P Lang Mong Lung. Abstract.

2001/2002

  1. Perspectives in Mathematics and Art by Kevin Heng Ser Guan. Supervisor : A/P Helmer Aslaksen. Abstract.  Complete report in: PDF format, webpage.

  2. Polyhedra by Kavitha d/o Krishnan. Supervisor : A/P Helmer Aslaksen. Abstract.  Complete report in: PDF format.

  3. Numerical Studies of Some Adaptive Quadrature Methods by Ong Ming Tze. Supervisor : Dr. Lin Ping.  Abstract.

  4. Critical Thinking in Elementary Mathematics: A Historical Approach by Lim Hwee Chin. Supervisor : A/P Peter Pang. Abstract.

  5. On an Asymptotic Problem of Curves over Finite Fields by Cung Thai Son. Supervisor : A/P Ling San. Abstract.

  6. Unitary Similarities and Schur's Theorem by Wang Fei. Supervisor : Dr. Victor Tan. Abstract.  Full report in: PDF format.

  7. Jordan Canonical Forms of Linear Operators by Teo Koon Soon. Supervisor : Dr. Victor Tan.  Abstract. Full report in: Microsoft Word format.

  8. Polyhedra by Chong Woon Hui. Supervisor : A/P Helmer Aslaksen.  Abstract.

  9. Indian Calendars by Akshay Prasad & Akhil Doegar. Supervisor : A/P Helmer Aslaksen.  Abstract.

  10. Two Ways for the Universe to End by Teo Choon Hoong. Supervisor : A/P Brett McInnes.  Abstract.  Full report in: Microsoft Word format.

  11. Symmetry groups in Arts and Architecture by Poh Kim Muay.  Supervisor : A/P Helmer Aslaksen.  Abstract.

  12. Gales' Vingt-et-un by Ng Pei Tong.  Supervisor : A/P Tay Tiong Seng. Abstract.  Full report in: Microsoft Word format.

  13. Gales' Vingt-et-un by Lee Tzi Yew.  Supervisor : A/P Tay Tiong Seng. Abstract.  Full report in: Microsoft Word format.

  14. Properties of Chordal Graphs by Pow Tien Min, Jaron.  Supervisor : A/P Tay Tiong Seng. Abstract.  Full report in: Microsoft Word format.

  15. Study of the Berlekamp Massy Algorithm and Clock-controlled Generators by Ong Eng Kiat.  Supervisor : Dr Victor Tan.  Abstract.  Full report in: Microsoft Word format.


Departmental UROPS Coordinator : A/P Denny Leung