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Pearson Edexcel · International A Level

YFM01 International A Level Further Mathematics

3 components21 topics21 with lessons

FP1 is compulsory; the remaining units are drawn from further pure and applied units in permitted combinations.

Source: Pearson Edexcel YFM01 specification · Confirm the syllabus year with your school.

Exam infoExam structure, syllabus and formula booklet1 official documents

2018 specification

PaperTimeMarksWeighting
Every unit (FP1–FP3 and applied units)1 h 30 min75⅙ of IAL
  • IAL Further Mathematics: FP1, FP2 or FP3, plus other further and applied units to make six.
  • A unit result can count towards only one qualification, so Maths and Further Maths together need 12 different units.
  • FP1–FP3, M3, S3 and D1 are offered in January and June only.

Summarised from the official specification, checked 16 Oct 2026. The board's document is the final word.

PDFIssue 3 (April 2019)

International AS/A Level Further Mathematics — specification

The same document as IAL Mathematics. IAL Further Mathematics is six units: FP1, FP2 or FP3, and four more from the further pure and applied units. None of them can be a unit already used for IAL Mathematics.

All Edexcel documents: exam rules, key dates and grade thresholds →

WFM01Further Pure Mathematics 18 topics
  • Complex numbers
    Arithmetic and conjugates · The Argand diagram, modulus and argument · Polynomial equations and square roots
    3 lessons
  • Roots of quadratic equations
    Roots of polynomial equations
    1 lessons
  • Numerical solution of equations
    Newton–Raphson, bisection and interpolation
    1 lessons
  • Coordinate systems
    Parabola and rectangular hyperbola
    1 lessons
  • Matrix algebra
    Matrix algebra and inverses
    1 lessons
  • Transformations using matrices
    Transformations, invariant points and lines
    1 lessons
  • Series
    Summation of series
    1 lessons
  • Proof
    Proof by induction
    1 lessons
WFM02Further Pure Mathematics 27 topics
  • Inequalities
    Rational inequalities
    1 lessons
  • Series
    Summation of series
    1 lessons
  • Further complex numbers
    Polar and exponential forms · Loci and regions in the Argand diagram
    2 lessons
  • First order differential equations
    First-order equations: integrating factors
    1 lessons
  • Second order differential equations
    Second-order equations: auxiliary equation
    1 lessons
  • Maclaurin and Taylor series
    Maclaurin series · Taylor series, L'Hôpital and Leibniz
    2 lessons
  • Polar coordinates
    Polar curves and areas
    1 lessons
WFM03Further Pure Mathematics 36 topics
  • Hyperbolic functions
    Hyperbolic functions and their inverses
    1 lessons
  • Further coordinate systems
    Ellipse and hyperbola
    1 lessons
  • Differentiation
    Inverse trig and hyperbolic functions in calculus
    1 lessons
  • Integration
    Inverse trig and hyperbolic functions in calculus · Reduction formulae, arc length and surface area
    2 lessons
  • Vectors
    Vector product and planes · Shortest distances and triple products
    2 lessons
  • Further matrix algebra
    Eigenvalues and diagonalisation
    1 lessons