H2 Further Math (9649)

Singapore-Cambridge H2 Further Math (9649)

(Year 2024 syllabus)

Section A: Pure Mathematics

1. Algebra and Calculus

1.1 Mathematical induction

1.2 Complex numbers (Part 1: Geometry)

1.2 Complex numbers (Part 2: Loci)

1.2 Complex numbers (Part 3: Use of de Moivre’s Theorem)

1.3 Polar Coordinates (Part 1: Polar coordinates and curves, max r, and area enclosed)

1.3 Polar Coordinates (Part 2: Applications of polar coordinates)

1.4 Conic sections (Part 1: Focus, directrix, eccentricity and equation)

1.4 Conic sections (Part 2: Reflective properties of conic sections)

1.4 Conic sections (Part 3: Applications of conic sections)

1.5 Applications of definite integrals

1.6 Differential equations (Part 1: Solve differential equations)

1.6 Differential equations (Part 2: Family of Solution Curves)

1.6 Differential equations (Part 3: Exponential growth model, logistic growth model, equilibrium points and their stability and harvesting )

2. Discrete Mathematics, Matrices and Numerical Methods

2.1 Recurrence relations (Part 1: 1st order recurrence relations)

2.1 Recurrence relations (Part 2: 2nd order recurrence relations)

2.2 Matrices and linear spaces (Part 1: Operations on 3x3 matrices)

2.2 Matrices and linear spaces (Part 2: Use of matrices to represent a set of linear equations) 

2.2 Matrices and linear spaces (Part 3): Determinant and inverse of a matrix

2.2 Matrices and linear spaces (Part 4): Linear spaces

2.2 Matrices and linear spaces (Part 5): Linear independence and span

2.2 Matrices and linear spaces (Part 6): Basis and dimension

Section B: Probability and Statistics

3. Probability and Statistics