From the Editor’s Desk
27th June 2023
In this article, a university student studying Mathematics at the university level sheds light on some of the important lessons learned during his time undertaking his Bachelor’s degree. Hopefully, aspiring Mathematics students will be inspired to undertake Mathematics at the university level with additional guidance as to what to do and how to behave.
1. Have a group to work with
The Mathematics problems at university level are no longer trivial and will, at times, require hours to solve. A second set of eyes would be helpful as peers can point out solutions to points where the student gets stuck and help with understanding the long, complex proofs. Having someone else to work on the problem sheets with and use as a sounding board for ideas could make the course feel much less difficult. Moreover, two people can cover more of the content in a shorter timeframe as compared to one person doing it alone. Students could form a study group in university where members can look out for one another. Having others doing and struggling with the same issues could help students keep a more positive mental state, as they will have people to support them through difficult times.
2. Work with simple examples
Ultimately, a student’s progress doing a degree in Mathematics is assessed based on whether they can apply existing theorems on novel problems. Students will not get by with knowing and reciting theorems. Instead, they should be able to apply them on simple examples to show why and how they are relevant if they wish to demonstrate their understanding on a topic. As theorems are extremely abstract and buried under many layers of notation, it is extremely important for students to master using simple examples in their application. As in A Levels and O Levels, it would be helpful for students to test formulas and concepts using small numbers first before doing large calculations to show their understanding of the concept.
3. Interest in topics may vary
At times, students cannot avoid certain topics in Mathematics. However, if a subject is an elective, students should consider whether studying the topic is something the student wants or whether they are taking the module because they are attracted on the surface to its name. If the student chooses a module they dislike, they will be less likely to study for the entire term. It would be more beneficial to study something a student enjoys rather than thinking about which subject sounds interesting to a potential employer. Students should read introductory material before undertaking a course before choosing a module to help them get a background of the subject. Moreover, students could ask senior students at university about their experience in certain modules, or visit forums within that university which rates courses based on the students’ experiences.
4. There is no need to solve every problem
It would be quite easy to fall into the trap of thinking that there is a need to solve every problem. Before undertaking university, most Mathematics students would be able to solve every problem in their O Level or A Level exams. It is not uncommon for university students in Mathematics to spend over 4 hours deliberating a problem. Students could feel distressed, stuck, and worried for an entire day. Students should remember that these negative feelings are not worth it as there is more to life than simply studying Mathematics.
To conclude, although studying Mathematics at the university level could seem a daunting challenge, students should take it in stride and remember that they need to keep a positive mind during their studies. Having a supportive community will help students a lot during their studies, as they will feel less lonely during their university journey, especially if they are overseas.