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Syllabus

Syllabus Further Pure Mathematics (9231)

Further Pure Mathematics 1

1. Roots of polynomial equations

2. Rational functions and graphs

3. Summation of series

4. Matrices

5. Polar coordinates

6. Vectors

7. Proof by induction

Further Pure Mathematics 2

1. Hyperbolic functions

2. Matrices

3. Differentiation

4. Integration

5. Complex numbers

6. Differential equations

Further Mechanics

1. Motion of a projectile

2. Equilibrium of a rigid body

3. Circular motion

4. Hooke’s law

5. Linear motion under a variable force

6. Momentum

Further Probability & Statistics

1. Continuous random variables

2. Inference using normal and t-distributions

3. X2 - tests

4. Non-parametric tests

5. Probability generating functions