Singapore JC Subject List - Mathematics (H2)

H2 Mathematics is a challenging subject offered in Singapore's Junior College (JC) system, designed to prepare students for university courses requiring a strong mathematical foundation, such as mathematics, sciences, engineering, and related fields. The syllabus emphasizes developing mathematical thinking and reasoning skills.

Syllabus Content

The H2 Mathematics syllabus covers a wide range of topics, categorized into six main strands:

1. Functions and Graphs: This strand explores various types of functions, their graphs, transformations, equations, and inequalities. 2. Sequences and Series: This section covers arithmetic and geometric sequences and series, as well as the method of difference. 3. Vectors: This strand delves into the basic properties of vectors in two and three dimensions, including vector operations, lines, and planes. 4. Introduction to Complex Numbers: This topic introduces complex numbers in Cartesian form, their operations, and applications. 5. Calculus: This crucial strand covers differentiation, integration, Maclaurin series, differential equations, and applications of calculus. 6. Probability and Statistics: This section covers probability, permutations and combinations, discrete random variables, binomial and normal distributions, sampling theory, and hypothesis testing.

Syllabus Changes

The H2 Mathematics syllabus has undergone revisions for recent years. Some of the changes include the addition of finding the area under the curve of parametric equations in integration and modifications to the method of difference in sequences and series. Students are advised to refer to the latest syllabus document published by the Singapore Examinations and Assessment Board (SEAB) for detailed information on the current syllabus.

Resources

• Past Papers and Practice Questions: Several resources are available for past papers and practice questions, including websites like Test Papers Free and Study Kaki. YouTube channels also offer solutions and walkthroughs of past papers.
• Textbooks and Study Guides: Various textbooks and study guides are available to support H2 Mathematics learning. Some recommended titles include "A-Level Complete H2 Maths Guide" and "Mastering H2 Mathematics with Worked Solutions."
• Online Resources: Several online resources can supplement H2 Mathematics learning. Websites like Tim Gan Math and Achevas offer free notes, practice questions, and video tutorials.
• Tuition: Numerous tuition centers and private tutors specialize in H2 Mathematics tuition. These options provide additional support and guidance for students struggling with the subject.

Assessment

The H2 Mathematics examination typically consists of multiple papers, assessing students' understanding of pure mathematics, probability, and statistics. Students are expected to apply their knowledge to solve complex problems and demonstrate their mathematical reasoning skills.