Mathematics and Further MathematicsMathematics models reality, describes discoveries and opens doors to the unknown.
What is Mathematics?
Maths is an art which studies patterns and predicts reality. It involves both logical reasoning (drawing conclusions from assured premises, systemised knowledge) and strategic reasoning (based on accepted rules, laws, or probabilities)
Why study Mathematics?
Maths is highly regarded by both universities and employers. Studying Maths opens up a whole world of career possibilities. Engineering, Business and finance, computing, architecture and design, all these industries have Maths at their core.
“There is no denying that the technology we all rely on is packed full of a rich and complex cocktail of mathematics. The best mobile phones are made by the company with the best mathematicians. The fact that Google invariably finds what you are looking for is due to clever algorithms that exploit the abstract mathematics of matrices. The most efficient and elegant buildings, cars or aeroplanes depend on a keen understanding of geometry. (…) Whether climate change is happening or not is down to understanding the numbers and what they are going to do next. Evaluation of travel restrictions or vaccination programs in the light of a new pandemic like the H1N1 virus will depend on mathematically modelling the future spread of the disease.”
Prof. Marcus du Sautoy
What will I study?
Our A Level course follows the most recent Edexcel Mathematics Specifications. Students will study three core subject areas:
In Pure Mathematics you will develop your algebraic skills (including work on Vectors) and work on areas such as Coordinate Geometry, Numerical Methods, Trigonometry and Calculus.
In Applied Mathematics you will study both mechanics and statistics.
In mechanics you will discover how to model the position and movement of objects in the real world. You will answer questions such as; Will a stationary object slide or topple when pushed by a force? Will two objects collide? How much work does it take to move an object? Will it fall? Will it return?
In statistics you will discover how to investigate a hypothesis, take a sample, process and interpret your findings from the data. You will use models of probability and decide whether they are applicable to real life situations. A Level statistics topics model research used in many career paths.
Many of our students progress on to study Further Maths during the second year of their A Level studies. Our course follows the Edexcel Further Mathematics Specifications. You will study Applied Mathematics in greater depth, including Mechanics, Statistics, and Decision Mathematics. You will also tackle more difficult topics such as complex numbers.
Every year our Mathematics students participate in a wide range of extra-curricular challenges that include:
- The United Kingdom Mathematics Trust (UKMT) Senior and Intermediate Mathematics Challenges.
- British Mathematical Olympiad
- Mathematics Inspiration Day lectures in Cambridge (where inspiring Mathematicians from around the country share their knowledge with students).
- Mathematics Masterclasses, where students have the opportunity to work on advanced problems.
- Big Bang Fair, the UK’s largest celebration of science, technology, engineering and Maths (STEM) for young people.
Preparation for the Advanced Extension Award and STEP Papers
We encourage our most able Mathematics students to sit the Mathematics Advanced Extension Award (AEA) and Sixth Term Examination Paper (STEP). We offer an extensive preparation programmes for students taking these examinations. View our past student’s AEA and STEP results.
“I want to study Mathematics at university, and Abbey Cambridge has such good teachers. Classes are always full of energy and students work very hard, which creates a suitable environment for learning. Sometimes, just the energy is enough to motivate us to continue lessons on a rainy Friday afternoon.”
Ha Viet Son, Vietnam
Viet Son achieved A* grades in his Mathematics and Further Mathematics A Levels. He is now studying Mathematics and Statistics at the University of Oxford.