28 September 2021

Written by Dr Ng E-Jay, originally for the Math Lab

Firstly, the topics in H2 Further Mathematics taught are highly relevant to courses such as the physical sciences and data analytics at university level.

The current Further Math syllabus include important topics like linear algebra, mathematical induction, second order differential equations, and two sample hypothesis testing in statistics. These topics are usually covered in first year engineering, physical sciences, and data analytics courses, as well as also relevant to subjects like econometrics, business analytics, and sociology. Further Math is thus a good preparatory course for these university subjects.

Secondly, studying Further Math will help students strengthen their mathematical foundations and gain a broader appreciation of mathematics. The skills and problem-solving techniques gained during the Further Math course will often help students tackle difficult questions in the usual H2 Math exam papers. The Ministry of Education has also been constantly updating the syllabus so that there is greater emphasis on applications rather than on simply posing tough questions. Compared to the old syllabus Further Math prior to 2007, students are exposed to a wider variety of topics, many of which are applicable to degree courses in the physical sciences or in computer science.

Thirdly, students applying to study mathematics or the physical sciences in overseas universities, especially the most prestigious universities in the US or UK, may find that a good grade in Further Math is looked upon favourably by university administrators. In fact, the Cambridge University and the University of Warwick uses the Sixth Term Examination Papers (STEP) as a way of differentiating students of exceptionally high mathematical ability.