A-Level Further Mathematics is an advanced subject designed for students who have a strong aptitude and passion for mathematics. It extends the content covered in A-Level Mathematics, delving deeper into both pure and applied mathematics. This subject is often taken by students who are considering pursuing mathematics, engineering, physics, or related fields at university.
Cambridge 9231
A-levels Further Maths Pure 1

Peer Crafted Study Notes
The notes here are hand made by students for students ensuring that they are written from a similar perspective, ultimately making it easier to comprehend and learn from. We strive to retain short yet comprehensive notes. Hence, you will see us hitting all the important concepts and details you could possibly need without making it too wordy. Whether it's for last minute revision, or understanding the whole concept, we got you!
Author
Nihil
Syllabus Year
2023-2025
Full Syllabus Coverage
Immerse yourself in carefully crafted subject specific notes by our continuously hardworking team! Our notes are specially made to cover the whole IGCSE or A-level syllabi with a good eye for the most frivolous of details, up to the most crucial concepts. As students we always doubt if we accidentally dropped an important concept or missed a pivotal detail, with our notes you won’t need to worry any longer. We cover everything you need to know to ace your exam, so don’t worry, you’ll be getting a good night’s sleep before your exams!
Roots Of Polynomials
Study of the solutions of polynomial equations and their properties, including complex roots.
Rational Functions & Graphs
Analysis of functions expressed as ratios of polynomials and their corresponding graphs, including asymptotic behavior.
Mathematical Induction
A proof technique used to establish the validity of statements for all natural numbers.
Polar Coordinates
A system where points are determined by a distance from a reference point and an angle from a reference direction.
Matrices
Mathematical objects used to represent and manipulate linear transformations and systems of linear equations.
Vectors
Objects that represent both magnitude and direction, used in various applications including geometry and physics.