Mathematics

Course Overview

The Advanced Higher Mathematics Course enables learners to select and apply complex mathematical techniques in a variety of mathematical situations. Learners interpret, analyse, communicate and manage information in mathematical form, while exploring more advanced techniques. There are three units:

• Mathematics: Advanced Higher Methods in Algebra and Calculus 

This unit covers partial fractions, standard procedures for both differential calculus and integral calculus, as well as methods for solving both first order and second order differential equations. The importance of logical thinking and proof is emphasised throughout.

• Geometry, Proof and Systems of Equations 

This unit covers matrices, vectors, solving systems of equations, the geometry of complex numbers, as well as processes of rigorous proof.

• Applications in Algebra & Calculus 

This unit covers the binomial theorem, the algebra of complex numbers, properties of functions, rates of change and volumes of revolution. Aspects of sequences and series are introduced, including summations, proved by induction.

Homework

You will be expected to complete homework from one lesson to the next to reinforce the work done in class and prepare yourself for the final exam.

Assessment Approaches

Course assessment at Advanced Higher: 

• Question Paper 1: 3 hours

Other information 

The course is not aimed solely at those intending to study mathematics further. It contains ideas and methods needed in a variety of higher education courses.