Further Mathematics (H2)

This subject is designed for students who are mathematically inclined and intend to specialize in fields like mathematics, sciences, engineering, or other disciplines requiring strong mathematical skills. It builds upon the H2 Mathematics foundation, offering a broader range of mathematical methods and tools for tackling complex problems.

Aims

The syllabus aims to help students:

• Develop a wider range of mathematical concepts and skills for tertiary studies in related fields.
• Enhance thinking, reasoning, communication, and modeling skills through mathematical problem-solving.
• Connect mathematical ideas and apply them in scientific, engineering, and other relevant contexts.
• Appreciate the rigor and abstraction within mathematics.

Prerequisites

H2 Mathematics is a prerequisite for taking Further Mathematics (H2).

Topics Covered

Further Mathematics (H2) expands on several H2 Mathematics topics and introduces new ones, including:

• Algebra and Calculus: Complex numbers, polar coordinates, applications of definite integrals, functions of two variables, and differential equations.
• Discrete Mathematics, Matrices and Numerical Methods: Recurrence relations, matrices and linear spaces, and numerical methods.
• Probability and Statistics: Discrete and continuous random variables, hypothesis testing and confidence intervals, and non-parametric tests.

Assessment

The assessment consists of two 3-hour papers, each contributing 50% to the total mark:

• Paper 1: Focuses on pure mathematics with one real-world application question.
• Paper 2: Includes sections on pure mathematics and probability & statistics, with one real-world application question in the latter section.

Career Paths

Further Mathematics (H2) equips students with advanced mathematical skills applicable to various careers in fields like:

• Technology (data science, machine learning, software development)
• Physical sciences
• Engineering
• Business analytics