1. Pure Mathematics 1

1.1 Quadratics

1.2 Functions

1.3 Coordinate geometry

1.4 Circular measure

1.5 Trigonometry

1.6 Series

1.7 Differentiation

1.8 Integration

3. Pure Mathematics 3

3.2 Logarithmic and exponential functions

3.3 Trigonometry

3.4 Differentiation

3.5 Integration

3.6 Numerical solution of equations

3.8 Differential equations

3.9 Complex numbers

3.9.1—Complex numbers

3.9.2—Complex numbers

3.9.3—The result that

3.9.4—Complex numbers

3.9.5—Complex numbers

3.9.6—Complex numbers

3.9.7—Complex numbers

3.9.8—Complex numbers

4. Mechanics

4.1 Forces and equilibrium

4.2 Kinematics of motion in a straight line

4.3 Momentum

4.4 Newton's laws of motion

4.5 Energy, work and power

5. Probability & Statistics 1

5.1 Representation of data

5.2 Permutations and combinations

5.3 Probability

5.4 Discrete random variables

5.5 The normal distribution

6. Probability & Statistics 2

6.1 The Poisson distribution

6.2 Linear combinations of random variables

6.3 Continuous random variables

6.4 Sampling and estimation

6.5 Hypothesis tests

A-Level CAIE Mathematics A2 3.9.6—Complex numbers Question Bank

• find the two square roots of a complex number e.g. the square roots of 5 + 12i in exact Cartesian form. Full details of the working should be shown.

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