## MATHEMATICS AND FURTHER MATHEMATICS A LEVEL

At Hampstead School we offer both Mathematics and Further Mathematics at A level. Additionally, students without a grade 4 in mathematics will study GCSE mathematics.

After studying Mathematics A level you will have the skills to enter many different sectors. You will have the analytic skills to enter sectors such as finance, technology or engineering, particularly if you are studying it alongside relevant subjects. It will demonstrate that you have the ability to learn difficult concepts quickly and apply them to new topics to solve problems. It will be a prerequisite for degrees such as mathematics, physics, chemistry, engineering and computer science. It will also be extremely useful preparation for degrees in other science subjects such as biology, psychology and Medicine. However, the skills you will gain from Mathematics are recognised and respected across all sectors, and students equally go into sectors such as media, law or advertising.

Further Mathematics A level will equip you with knowledge of advanced mathematical ideas and concepts that are relevant to careers in science and technology. Most of our Further Mathematics students pursue degrees in mathematics, physics, engineering, computer science or other science subjects. For degrees in mathematics, physics and engineering Further Mathematics is highly recommended. Two of our recent Further Mathematics students have won competitive engineering placements at companies such as Air Bus UK, which have funded their university degrees, as well as providing immediate employment. Other students have gone on to study mathematics or computer science at Cambridge, Imperial College, Kings London, Edinburgh and Queen Mary universities.

**Mathematics A Level**

A level mathematics focuses on three main areas. In Year 12 you will study:

**Pure mathematics**which constitutes approximately two thirds of the course, including proof, algebra, functions, graphs, co-ordinate geometry, sequences and series, trigonometry, exponentials and logarithms, calculus and vectors.**Statistics**which constitutes about 1/6 of the course. In statistics you will study sampling, presenting and interpreting data, probability and the binomial distribution, and hypothesis testing.**Mechanics**which constitutes about 1/6 of the course. In mechanics you will study modelling, kinematics, forces and Newton’s laws of motion in one dimension.In Year 13, you will build on and deepen your knowledge of the topics covered in Year 12 alongside the additional topics of numerical methods in pure mathematics, the normal distribution in statistics, and moments and projectiles, along with working in two dimensions, in mechanics.

**Further Mathematics A Level**

Further Mathematics is taken alongside Mathematics A level. You must also take Mathematics A level if you wish to take Further Mathematics.

As with Mathematics A level, you should also be comfortable with all of the algebra at GCSE as these are integral parts of the A level. You should have an interest in problem solving and learning new mathematical concepts. If you have an interest in pursuing a career in mathematics, engineering, physics or computer science, you should consider taking Further Mathematics.

**What will I learn?**

50% of the content in A level Further Mathematics is compulsory. In Year 12 this includes complex numbers, matrices, sequences and series and further vectors, and Year 13 you will develop your understanding of matrices and complex numbers as well as studying further calculus, hyperbolic functions and differential equations.

You will also study some optional content which will include some of:

- Further statistics including discrete random variables, bivariate data and chi-squared tests
- Further mechanics including impulse, momentum, energy, work and power; modelling with algorithms, including networks and linear programming; further numerical methods
- Extra pure mathematics including recurrence relations, groups, further matrices and multivariable calculus.

**Extra-Curricular**

There are plenty of opportunities for extracurricular mathematical activities at Hampstead School:

- All students will take part in the UKMT Senior Maths Challenge in November
- All students will be given the opportunity to try out to be part of the Hampstead School Senior Maths Team
- Talented students will be supported in extra examinations such as the BMO, MAT and STEP.