Course structure 

Algebra & Complex Numbers:

The binomial theorem. 

Partial fractions. 

Matrices, including addition, subtraction, multiplication, and determinants. 

Complex numbers, including operations, conjugates, De Moivre's theorem, and roots of polynomials. 

Calculus:

Standard derivatives and differentiation techniques (product rule, quotient rule, chain rule). 

Implicit and parametric differentiation. 

Standard integration techniques and integration by parts. 

Integration by substitution. 

Differential equations, including first-order and second-order homogeneous linear equations. 

Applications such as finding areas and volumes of solids of revolution. 

Proof & Functions:

Methods of proof, including direct proof, proof by contradiction, proof by contrapositive, and proof by induction. 

Properties and analysis of functions, including asymptotes and stationary points. 

Sequences and series, both arithmetic and geometric. 

Course Award

To achieve the Higher Mathematics Course, learners must pass an external exam consisting of

• Question paper 1 (non-calculator) 35 marks

• Question paper 2 80 marks

Advanced Higher Courses are graded A, B, C, D