Further Mathematics is the title given to a number of advanced secondary mathematics courses. The term “Higher and Further Mathematics”, and the term “Advanced Level Mathematics”, may also refer to any of several advanced mathematics courses at many institutions.
Topics studied in Further Mathematics included:
- Topic 3 – Statistics and probability – the geometric and negative binomial distributions, unbiased estimators, statistical hypothesis testing and an introduction to bivariate distributions
- Topic 4 – Sets, relations and groups – algebra of sets, ordered pairs, binary operations and group homomorphism
- Topic 5 – Calculus – infinite sequences and series, limits, improper integrals and various first-order ordinary differential equations
- Topic 6 – Discrete mathematics – complete mathematical induction, linear Diophantine equations, Fermat’s little theorem, route inspection problem and recurrence relations