Why UROPS | Eligibility

Project Proposal, Selection & Registration

Assessment | 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 UROPS in Science.

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.

Mathematics Department Coordinator: Prof Brett McInnes

Project Proposal, Selection & Registration

1. Staff and students will follow the procedure and deadlines by the Faculty of Science for proposing and registering for projects.

2. A student will receive an email notification on the outcome of his/her registration of a project. A student who has successfully registered for a project must email a PDF copy of the project proposal with the email notification to the mathematics coordinator, Prof Brett McInnes, for endorsement. The documents will be kept by the department for record.

3. If the supervisor wishes to deviate from the recommended assessment weightage (see Assessment below), he/she must indicate the revised weightage on the proposal for the coordinator’s consideration and endorsement.

Assessment

1. The supervisor is automatically the examiner.

2. Student must submit the written report by 5pm on Monday of week 13.

3. The oral presentation, interview and their assessments must be completed and submitted by 5pm on Friday of the reading week.

4. Department recommends the following standard guideline for assessment. The supervisor may propose a different set of assessment weightage and should do so in the proposal before it is endorsed by the department's coordinator. No deviation is allowed once the proposal has been endorsed.

(i)   Written Report (50%)

This consists of a systematic study and elaboration of the topic of the UROPS Project. The report shall be typed on A4 size paper and shall include a title page (see format).

 

(ii)   Oral Presentation (20%)

The student is required to give an oral presentation on the work done. The oral presentation shall last between 30 to 45 minutes.      

 

(iii)  Interview (30%)

This will take place soon after the oral presentation. The purpose of the interview is to allow the supervisor to further probe the student's understanding of the material presented in the project. The interview shall last about 30 minutes.

 

(iv)  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 (see sample).  Information concerning the approved forms of software can be obtained from the department's UROPS coordinator.

Past Projects

2007/2008

1. Analytic and Numerical Study of a Material Particle System by SUN Chang. Supervisor : LIN Ping.  Abstract.

2. Quadratic Reciprocity and Primes of the form x2+ny2 by FANG Xingyuan. Supervisor: Victor TAN.   Abstract.

3. Functions of Bounded Variation by TAN Yong Feng. Supervisor : QUEK Tong Seng.  Abstract.

4. The Stone-Cech Compactification by Rubin MATTHIAS. Supervisor : Denny LUENG.  Abstract.

5. The Copernican Revolution and the Size of the Universe by LU Tianxin. Supervisor : Helmer ASLAKSEN.  Abstract.

6. PHILOSOPHY OF MATHEMATICS by TRAN Chieu Minh. Supervisor : CHONG Chi Tat.  Abstract.

2006/2007

1. Inviscid Fluid Dynamics Simulations by LENG Marcel. Supervisor : Nebus J.  Abstract.

2. Fibonacci Numbers and Trivalent Graphs by ONG Guolin, SIM Huili and Syahidah IBRAHIM.  Abstract.

3. Cantor Set by PHAM Quang Vinh. Supervisor : QUEK Tong Seng.  Abstract.

4. Lower Bound Estimate for The Nearest Neighbor Distance of an Atomic Chain by WANG Hao. Supervisor : LIN Ping.  Abstract.

5. An Adjusting Capacity Analysis on Gupta and Kumar’s Paper with considering hidden terminals problem by ZENG Zhan.  Supervisor : A/P TAY Yong Chiang.  Abstract.  Full report in : Microsoft Word format.

6. The Fifteen Theorem by Mahieux Pierre-Emmanuel. Abstract.

7. Complexity and The Definability of Truth by TAN Weiyu Colin. Supervisor : YANG Yue.  Abstract.

2005/2006

1. Linking Number and Potential Theory by LEE Chuen Hing.  Supervisor : WONG Yan Loi. Abstract.

2004/2005

1. Medium Access for Wireless Sensors by LIM Terence.  Supervisor : TAY Yong Chiang. Abstract.

2. Robust Single Period Newsvendor Model by Linyi ZHOU. Supervisor : Karthik NATARAJAN. Abstract.

3. Canonical basis of the quantized Fockspace by HU Yi and SHI Cong. Supervisor : TAN Kai Meng. Abstract.

4. The LLT Algorithm by Jerome TAY. Supervisor : TAN Kai Meng. Abstract.

2002/2003

1. Indian calendars by Akhil DOEGAR and Akshay PRASAD.  Supervisor : Helmer ASLAKSEN.  Abstracts: 1, 2.

2. The Riemann integral revisited by LU Rongmin.  Supervisor : CHEW Tuan Seng.  Abstract.  Full report in: PDF format.

3. On linear preserver problems by WANG Fei.  Supervisor : Victor TAN.  Abstract.  Full report in:  PDF format.

4. Predictions of future HIV infection by subtype and circulating recombinant form by Brandon John BROWN.  Supervisor : ZHANG Louxin.  Abstract.  Full report in: PDF format.

5. Rigid bracings of a grid by KOK Chee Kean, LAI Yong Chieng, Marvin and POW Tien Min, Jaron.  Supervisor : TAY Tiong Seng.  Abstracts: 1, 2, 3.  Full report in : Microsoft Word format.

2001/2002

1. Perspectives in Mathematics and Art by Kevin HENG Ser Guan. Supervisor : Helmer ASLAKSEN. Abstract.  Complete report in: PDF format, webpage.

2. Polyhedra by Kavitha d/o KRISHNAN. Supervisor : Helmer ASLAKSEN. Abstract.  Complete report in: PDF format.

3. Numerical Studies of Some Adaptive Quadrature Methods by ONG Ming Tze. Supervisor : LIN Ping.  Abstract.

4. Critical Thinking in Elementary Mathematics: A Historical Approach by LIM Hwee Chin. Supervisor : Peter PANG. Abstract.

5. On an Asymptotic Problem of Curves over Finite Fields by CUNG Thai Son. Supervisor : LING San. Abstract.

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

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

8. Polyhedra by CHONG Woon Hui. Supervisor : Helmer ASLAKSEN.  Abstract.

9. Indian Calendars by Akshay PRASAD & Akhil DOEGAR. Supervisor : Helmer ASLAKSEN.  Abstract.

10. Two Ways for the Universe to End by TEO Choon Hoong. Supervisor : Brett McINNES.  Abstract.  Full report in: Microsoft Word format.

11. Symmetry groups in Arts and Architecture by POH Kim Muay.  Supervisor : Helmer ASLAKSEN.  Abstract.

12. Gales' Vingt-et-un by NG Pei Tong.  Supervisor : TAY Tiong Seng. Abstract.  Full report in: Microsoft Word format.

13. Gales' Vingt-et-un by LEE Tzi Yew.  Supervisor : TAY Tiong Seng. Abstract.  Full report in: Microsoft Word format.

14. Properties of Chordal Graphs by POW Tien Min, Jaron.  Supervisor : 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 : Victor TAN.  Abstract.  Full report in: Microsoft Word format.

2000/2001

1. Immanents of Random Graphs by NG E-Jay.  Supervisor : CHAN Onn, TAN Ser Peow. Abstract.  Complete report in:  PDF format.

2. Calendars, Interpolation, Gnomons and Armillary Spheres in the Work of Guo Shoujing (1231-1341) by NG Say Tiong.  Supervisor : Helmer ASLAKSEN.  Abstract.  Complete report in:  PDF format.

3. Trip Matrix and the Jones Polynomial by LIM Wen Chiang.  Supervisor : WONG Yan Loi.  Abstract.  Complete report in:  PDF format.

4. Construction of the Real Number System by SNG Chee Hien, Gary.  Supervisor : Denny LEUNG. Abstract.  Complete report in:  PDF format.

5. Algebraic and Transcendental Numbers by LAU Wee Lip, Jonathan.  Supervisor : LIM Chong Hai.  Abstract.  Complete report in:  PDF format.

6. Algebraic and Transcendental Numbers by TOH Wee Kwang.  Supervisor : LIM Chong Hai.  Abstract.  Complete report in:  PDF format.

7. Value at Risk by DAI Bo.  Supervisor : Arie HAREL.  Abstract.  Complete report in:  PDF format.

8. The Mathematics of Sundials by LIEW Huay Ling and LIM Siew Yee. Supervisor : Helmer ASLAKSEN.  Abstract.  Complete report in:  webpage (viewable with Internet Explorer only).

9. Strings of Long Months and Short Months in the Chinese Calendar by ZHANG Jieping. Supervisor : Helmer ASLAKSEN.  Abstract.  Complete report in:  Microsoft Word format.

10. Lunar Visibility and the Islamic Calendar by LEONG Wen Xin. Supervisor : Helmer ASLAKSEN.   Abstract.  Complete report in: PDF format.

11. Indian Calendars by Daphne CHIA. Supervisor : Helmer ASLAKSEN.  Abstract.  Complete report in: PDF format.

12. The Mathematics of Astrology by HENG Ser Guan, Kevin. Supervisor : Helmer ASLAKSEN. Abstract.  Complete report in: PDF format.

13. The Sun in the Church by NG Yoke Leng. Supervisor : Helmer ASLAKSEN).  Abstract.  Complete report in: PDF format.

14. Elements of Finite Orders of GL₄(Z) by Carolina ARDELA. Supervisor : LANG Mong Lung.  Abstract.  Complete report in: DVI format (Appendix).

15. Galois Theory and Its Applications by LING Kin Yew. Supervisor : Victor TAN.  Abstract.  Complete report in: Microsoft Word format.

16. Quantum Algorithms for Wavelet Transforms and Their Applications by Darwin GOSAL. Supervisor :Wayne LAWTON.  Abstract.  Complete report in: Postscript format.

17. The Game of Kalah by POK Ai Ling, Irene. Supervisor : TAY Tiong Seng.  Abstract.  Complete report in: PDF format.

18. Analysis of Kalah by WEE Ee Ching. Supervisor : TAY Tiong Seng.  Abstract.  Complete report in: PDF format.

19. Curves for the Elliptic Curves Cryptosystem by TEO Kai Meng. Supervisor : XING Chaoping. Abstract.  Complete report in: PDF format.

20. Sylow 2-Subgroups of the Symmetric Group by KOK Yik Siong, Roddy. Supervisor : LANG Mong Lung. Abstract.

1999/2000

1. Strongly Connected Spaces by DAI Bo.  Supervisor : 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 : Helmer ASLAKSEN.  Abstract.  Complete report in:  Microsoft Word format.

3. On the Hamiltonian Laceability of Brick Products by NG E-Jay.  Supervisor : CHEN Chuan Chong.  Abstract.  Complete report in:  PDF format (Appendices).

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