I took an unconventional path to studying mathematics. When I matriculated into NUS, I was pursuing a degree in chemical engineering. However, in my first semester, as part of the engineering curriculum, I took MA1513 Linear Algebra with Differential Equations. This course piqued my interest in mathematics — even though it was computational, I sensed the elegance and beauty of the theory behind the calculations. In the next semester, I took MA1100 Basic Discrete Mathematics, and found that I enjoyed the rigorous, proof-based style of university mathematics. Thus, I pursued a second degree in Mathematics, under the CHS-CDE Double Degree Programme.

 

In NUS, I pursued a Double Degree in Chemical Engineering and Mathematics. My love for mathematics did not diminish my passion for chemical engineering, so I decided not to switch degrees, but instead study both subjects simultaneously. As I studied more mathematics, I also realised that there were many courses that I wished to take, especially in the area of pure mathematics, such as Partial Differential Equations, Galois Theory, and Mathematical Logic. I realised that if I took all the courses that I wanted to take, I would fulfil the requirements for a Second Degree in Mathematics with a Specialisation in Pure Mathematics, so I made the obvious decision.

 

I benefitted greatly from the Special Programme in Mathematics (SPM) courses I took. These courses are taught at a higher level of rigour and abstraction than their standard counterparts. This additional content led to a deeper understanding of the topics taught. Furthermore, through taking these courses, I improved my mathematical writing and ability to study independently. MA2101(S) Linear Algebra II (S), in particular, confirmed my intention to pursue a mathematics degree, as I found that despite the difficulty, I enjoyed the rigorous and general treatment of Linear Algebra.

 

To prospective students who are considering NUS Mathematics for your undergraduate education, first, find a group of friends who are also studying mathematics.

 

You can draw strength from one another during difficult and stressful times, and celebrate when things go well. It is even better if you take the same classes with them, since you are then able to discuss and learn mathematics together.

 

Second, try the T-coded or S-coded courses. Compared to their non-letter coded counterparts, these courses offer a greater level of rigour and abstraction, and also cover more advanced content.

 

Third, mix both breadth and depth in your undergraduate education. For breadth, try to take courses in a variety of subfields, such as algebra, analysis, logic, and applied mathematics. If you realise that you particularly enjoy a certain subfield, you can study it more deeply, for example by taking the relevant level 4000 or 5000 courses, doing undergraduate research in a topic in that area, or even simply by speaking with professors who work in that area.