Why take the course? Further Mathematics builds on the Mathematics syllabus and goes much deeper into new areas of mathematics that are otherwise not encountered until university. If you enjoy GCSE Mathematics and would like to explore a wide range of new ideas, then you should consider taking this subject. Summary of what is studied (specification) Core Pure: This explores topics not covered in the Mathematics syllabus such as matrices and complex numbers, whilst going deeper into mathematical proof and calculus, including 3-D geometry. Decision Maths: This additional module is focused on algorithmic thinking and the mathematics behind decision making. This has many practical applications in computing and logistics. Further Pure Maths: This additional module explores areas of mathematics that are covered more deeply at university. As well as advanced calculus, you will study the coordinate geometry that arises from slicing through cones at different angles.