H1 Mathematics and H2 Mathematics are both core subjects in the Junior College (JC) curriculum in Singapore. H2 Mathematics is a more advanced version of H1 Mathematics, and covers a wider range of topics and requires a higher level of mathematical proficiency.

H1 Mathematics covers the basics of calculus and algebraic manipulation, and is suitable for students who want a general understanding of mathematics but do not intend to pursue a career in a field that requires advanced mathematics. H1 Mathematics covers topics such as functions, calculus, probability, and statistics, but in less depth than H2 Mathematics.

H2 Mathematics, on the other hand, covers all the topics in H1 Mathematics in greater depth, and also covers additional topics such as complex numbers, vectors, and further calculus. H2 Mathematics is recommended for students who intend to pursue a degree in fields such as engineering, physics, or mathematics, as it provides a strong foundation in the advanced mathematical concepts required for these fields.

The main difference between H1 Mathematics and H2 Mathematics is the level of depth and complexity. H2 Mathematics requires a higher level of mathematical proficiency, and covers more topics than H1 Mathematics. H2 Mathematics is also a more demanding subject, with a greater workload and higher expectations in terms of problem-solving and critical thinking skills.

In terms of university admissions, most university courses require at least H1 Mathematics, while some courses require H2 Mathematics. Therefore, it is recommended that students take H2 Mathematics if they are considering pursuing a degree in a field that requires advanced mathematics. However, it is important to note that H1 Mathematics is still a valuable subject that provides a good foundation in mathematics, and can be suitable for students who are not planning to pursue a career in a field that requires advanced mathematics.