## Description

**Number and algebra**

- Solving equations
- Arithmetic sequences and series
- Geometric sequences and series
- Sum to infinity
- Deductive proof
- The binomial theorem
- Complex numbers, polar form
- De Moivre’s theorem, powers of complex numbers

**Functions**

- Concept of a function
- Transformation of functions and graphs
- Logarithmic functions
- Solution of modulus equations and inequalities

**Geometry and trigonometry**

- Use of sine, cosine and tangent ratios
- The cosine rule
- Area of a triangle
- Applications of trigonometry
- Radian measure, area of a sector
- Exact values of trigonometric ratios
- Vector equation of a line
- Cartesian equation of a plane
- Intersection of a line and a plane

**Statistics and probability**

- Venn diagrams
- Conditional probability

**Calculus**

- Derivatives of trigonometric functions
- Implicit differentiation
- Definite integrals
- Areas enclosed by a curve and the x-axis
- Integration by parts
- Kinematics
- Related rates of change
- Homogeneous differential equations
- Evaluation of limits