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• 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
• Further Mathematics in the United Kingdom

  A course studied in addition to the standard mathematics AS-Level and A-Level courses
• Further Mathematics in Victoria, Australia

  A course delivered as part of the Victorian Certificate of Education
• Further Mathematics globally


  A course studied in addition to GCE AS-Level and A-Level Mathematics, or one which is delivered as part of the International Baccalaureate Diploma
• More mathematics can also be referred to as part of advanced mathematics, or advanced level math
• Qualification in Further Mathematics in the UK

  • Involves studying both pure and applied modules
  • The pure modules build on knowledge from the core mathematics modules
  • The applied modules may start from first principles
• The structure of the Further Mathematics qualification varies between exam boards in the UK
• Most universities in the UK 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, and University College London which 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 proficient in mathematics, and there is much more overlap of topics compared to base mathematics courses at A level
• Some medicine courses do not count maths and further maths as separate subjects for the purposes of making offers due to the overlap in content, and the potentially narrow education a candidate with maths, further maths and just one other subject may have
• Sources of support for teachers and students of Further Mathematics in the UK

  • AMSP (formerly FMSP)
  • Integral
  • Underground Mathematics
  • NRICH
• Further Mathematics as part of the VCE in Australia

  The easiest level of mathematics, but any student wishing to undertake tertiary studies in areas such as Science, Engineering, Commerce, Economics and some Information Technology courses must undertake one or both of the other two VCE maths subjects - Mathematical Methods or Specialist Mathematics
• Core modules in Further Mathematics VCE in Australia

  • Univariate Data
  • Bivariate Data
  • Time Series
  • Number Patterns and Business-Related Mathematics
• Optional modules in Further Mathematics VCE in Australia

  • Geometry and Trigonometry
  • Graphs and Relations
  • Networks and Decision Mathematics
  • Matrices
• Further Mathematics at A Level in Singapore


  A second and higher mathematics course, in addition to the Mathematics course at A Level. Students can pursue this subject if they have A2 and better in 'O' Level Mathematics and Additional Mathematics, depending on the school.
• Topics covered in Further Mathematics A Level in Singapore

  • Mathematical induction
  • Complex number
  • Polar curve and conic sections
  • Differential equations
  • Recurrence relations
  • Matrices and linear spaces
  • Numerical methods
  • Random variables and hypothesis testing and confidence intervals
• Further Mathematics in the International Baccalaureate Diploma Programme

  A Higher Level (HL) course that could be taken in conjunction with Mathematics HL or on its own, consisting of studying all four of the options in Mathematics HL, plus two additional topics
• Topics studied in Further Mathematics in the IB Diploma Programme

  • Linear algebra
  • Geometry
  • Statistics and probability
  • Sets, relations and groups
  • Calculus
  • Discrete mathematics
• From 2019, the IB Further Mathematics course has been discontinued and transited into the followings modules: Mathematics: analysis and approaches SL, Mathematics: analysis and approaches HL, Mathematics: applications and interpretation SL, Mathematics: applications and interpretation HL
• CBSE in India does not include any 'further' mathematics courses, and the JEE Advanced syllabus is a slightly extended variant of the CBSE Class 11 and 12 syllabus, which is not a school-leaving examination