Overview

AS Mathematics deepens conceptual understanding and introduces abstract mathematical thinking. It is more algebraic, analytical, and theory-driven than O Level.

Key Topics

• Algebra: Quadratics, polynomials, functions, inequalities
• Coordinate Geometry: Lines, circles
• Trigonometry: Identities, general solutions, graphs
• Differentiation: From first principles, tangents/normals
• Integration: Basic rules and definite integrals
• Sequences and Series: Arithmetic and geometric progressions
• Mechanics: Kinematics, forces, Newton’s laws, vectors in motion
• Statistics: Probability, binomial distribution, statistical measures
• Decision Mathematics: Algorithms, networks, linear programming

Skills Developed

• Symbolic manipulation and mathematical proof
• Problem modeling using algebra and calculus
• Interpreting and solving real-life applied math problems
• Graph sketching and transformations

Objective

To prepare students with a core mathematical toolkit for further scientific, engineering, or economic studies.