Higher mathematics

Further Mathematics is the title given to a number of advanced secondary mathematics courses. Higher and Further Mathematics may also refer to any of several advanced mathematics courses at many institutions.

In the United Kingdom, Further Mathematics describes a course studied in addition to the standard mathematics AS-Level and A-Level courses. In Victoria, Australia it describes a course delivered as part of the Victorian Certificate of Education. See the section on Victoria for a more detailed explanation. Globally, it describes a course studied in addition to GCE AS-Level and A-Level Mathematics, or one delivered as part of the International Baccalaureate Diploma.

A qualification in Further Mathematics involves studying both pure and applied modules. Whilst the pure modules - formerly known as Pure 4-6 (or Core 4-6), now known as Further Pure 1-3 (4 exists for the AQA board) - build on knowledge from the core mathematics modules, the applied modules may start from first principles.

To achieve an A level in Further Maths, candidates must study six modules which have not already been used for their Maths A level. These six modules must consist of FP1, at least one of FP2 or FP3, and 4 other modules. With regards to Mathematics degrees, most universities do not require Further Mathematics, and may incorporate foundation math modules or offer "catch-up" classes covering any additional content. Exceptions are the University of Warwick, the University of Cambridge which requires Further Mathematics to at least AS level; University College London requires or recommends an A2 in Further Maths for its maths courses; Imperial College requires an A in A level Further Maths while other universities may recommend it or may promise lower offers in return. Some schools and colleges may not offer Further mathematics but online resources are available Although the subject has about 60% of its cohort obtaining "A" grades, students choosing the subject are assumed to be more able in mathematics.

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