Larkhall Academy

Advanced Higher Maths

The aim of Advanced Higher Mathematics is to extend further students’ mathematical experience in Pure Mathematics, as well as providing an opportunity to study some Applied Mathematics.

It is particularly useful for students who may go on to study degree courses that involve Mathematics.

Course Content

The course comprises of three units:

Unit 1   

  • Algebra
  • Differentiation
  • Integration
  • Properties of Functions
  • Matrices

Unit 2

  • Further Differentiation
  • Further Integration
  • Complex Numbers
  • Sequences and Series
  • Number Theory and methods of Proof

Unit 3

  • Vectors
  • Matrix Algebra
  • Further Sequences and Series
  • Ordinary Differential Equations
  • Further Number Theory and Proofs



To gain the overall award students must pass written assessments in all three units of the course and an external assessment.

The SQA external exam consists of a single paper.

A prelim, which is of the same form as the SQA external exam, takes place under exam conditions.

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