Mathematics (A / As Level)

This course covers the subjects of Mathematics and Further Mathematics for Grade 11-12 students that uses Cambridge A / As Levels. The subjects coverage includes, but not limited to :

Mathematics

1. Pure Mathematics:

   • Algebraic manipulation

   • Functions and relations

   • Quadratic equations and inequalities

   • Polynomials and their roots

   • Exponential and logarithmic functions

   • Trigonometry and trigonometric identities

   • Coordinate geometry

   • Sequences and series

   • Differentiation and integration

   • Vectors

   • Complex numbers

   • Matrices and transformations

2. Statistics:

   • Data representation and interpretation

   • Probability

   • Probability distributions

   • Statistical sampling

   • Statistical hypothesis testing

   • Regression analysis

3. Mechanics:

   • Kinematics and dynamics of particles

   • Forces and Newton's laws

   • Work, energy, and power

   • Circular motion

   • Momentum and collisions

Further Mathematics

1. Further Pure Mathematics:

   • Complex numbers and roots of equations

   • Matrices and linear transformations

   • Proof by induction and other proof techniques

   • Differential equations (first and second order)

   • Hyperbolic functions

   • Polar coordinates

   • Further algebraic manipulation

   • Further calculus

2. Further Mechanics:

   • Further kinematics and dynamics

   • Moments and equilibrium

   • Simple harmonic motion

   • Elasticity

   • Vectors in 3D

3. Decision Mathematics:

   • Algorithms and graph theory

   • Linear programming

   • Networks

   • Game theory

   • Critical path analysis

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