H2 Mathematics is a core subject in the Junior College (JC) curriculum in Singapore, and it provides a solid foundation in calculus and algebraic manipulation. H3 Mathematics is an optional subject that is offered to students who have excelled in H2 Mathematics and have a strong interest in mathematics. H3 Mathematics builds upon the concepts covered in H2 Mathematics, and covers advanced topics such as group theory, number theory, and topology.

The main difference between H2 Mathematics and H3 Mathematics is the level of depth and complexity. H3 Mathematics covers topics that are beyond the scope of H2 Mathematics, and requires a greater level of mathematical maturity and critical thinking. H3 Mathematics also involves more abstract thinking and problem-solving, which is why it is recommended only for students who have a strong interest in mathematics and are willing to commit the extra effort required to excel in the subject.

In terms of university admissions, having H3 Mathematics on your academic transcript can be advantageous for students who are applying for courses that require a strong mathematical background, such as engineering, physics, or computer science. Having H3 Mathematics can also demonstrate to university admissions officers that you have a strong interest and aptitude in mathematics, which can be a positive factor in your application.

However, it is important to note that H3 Mathematics is not necessary for most university courses, and many students have been successful in their university applications without taking the subject. Ultimately, whether or not to take H3 Mathematics depends on your interests, career goals, and academic strengths. If you have a strong interest in mathematics and are willing to put in the extra effort required to excel in the subject, then H3 Mathematics can be a rewarding and challenging option to consider.