### Matrices, vectors and discrete maths

**Matrices** (Level B)

- What are matrices (including: tables to matrices, defining a matrix, and matrix equality)
- Calculating with matrices (including: addition, subtraction and multiplication)
- Some special matrices (including: the identity matrix and the inverse matrix)
- Solving matrix equations
- Real world problems

**Analytical geometry** (Level C)

- Describing points in space (including: rectangular coordinates, polar coordinates, and vectors)
- Describing straight lines (including: equations of a straight line, distance between points and mid-point of a line)
- Describing other curves (including circles)
- Transformations (including: transforming points, straight lines, parabolas, circles and other curves)

**Matrices** (Level D)

- Matrix representation of data
- Addition and subtraction of matrices
- Multiplication of a matrix by a scalar
- Multiplication of a matrix by a vector
- Multiplication of two matrices
- Special matrices
- Linear equations in matrix form
- Solution of a system of linear equations by row reduction
- Solution of linear equations using the inverse of the coefficient matrix
- Inverse matrices
- Determinant of a square matrix

**Discrete Mathematics** (Level D)

- Factorials
- Binomial theorem
- Sequence and series
- Mathematical induction