ZIMSEC A-Level Pure Mathematics

The ZIMSEC A-Level Pure Mathematics syllabus (Forms 5-6) builds on O-Level Mathematics and Additional Mathematics. Form 5 covers algebra (indices and variation, polynomials, partial fractions, inequalities, logarithmic, exponential and modulus functions, relations and functions), coordinate geometry and curve sketching, vectors with the scalar product, sequences and series with the binomial expansion, trigonometry, differentiation and integration, and complex numbers in Cartesian form. Form 6 adds matrices and transformations, proof by induction, groups, lines and planes in three dimensions, further series (standard sums, differences, Maclaurin and Taylor), first-order differential equations, numerical methods and further complex numbers (polar form, loci, de Moivre's theorem).