H2 Further Mathematics

H2 Further Mathematics is designed for students who are mathematically inclined and intend to specialize in mathematics, sciences, or engineering at the university level. It builds upon the knowledge gained in H2 Mathematics, exploring concepts in greater depth and breadth. Students are expected to take H2 Mathematics alongside H2 Further Mathematics.

Syllabus

The H2 Further Mathematics syllabus is structured around three core strands:

• Algebra and Calculus: This strand covers topics such as complex numbers, further calculus, and differential equations.
• Discrete Mathematics, Matrices, and Numerical Methods: This strand delves into matrices, linear spaces, graph theory, and numerical methods.
• Probability and Statistics: This strand expands on statistical concepts from H2 Mathematics, including hypothesis testing, distributions, and statistical inference.

The syllabus has undergone revisions for the 2025 A-Level examinations, shifting the focus from pure mathematics towards applied mathematics. The updated syllabus can be found here:

Resources

• Past Papers: Past papers are a valuable resource for exam preparation. Specimen papers for the 2025 syllabus are available:
• Tuition: Several tuition centers and private tutors offer H2 Further Mathematics tuition in Singapore.
• Online Resources: Various websites and YouTube channels provide additional learning materials and support.