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

3.2.1—Log laws

3.2.2—Exponential and ln

3.2.3—Log equations

3.2.4—Linearising relationships

3.3 Trigonometry

3.4 Differentiation

3.5 Integration

3.6 Numerical solution of equations

3.8 Differential equations

3.9 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 3.2.2—Exponential and ln Question Bank

• understand the definition and properties of ex and ln x, including their relationship as inverse functions and their graphs Including knowledge of the graph of y = ekx for both positive and negative values of k.

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