# Mathematics and Further Mathematics A Level at Malton School

## Course description

Compared with the GCSE course, you will find that a much greater part of lesson time is taken up with discussion of new ideas and techniques, leaving much of your own written practice to be completed privately. As the course progresses, an increasing emphasis is placed on developing your ability to present a reasoned solution to a problem, rather than on simply obtaining an “answer”.

**Pure Mathematics**

This part of the course is taken by all candidates. It develops the algebraic techniques of simplification and equation solving well beyond the level of GCSE. The two branches of calculus are introduced: “differentiation” deals with the way in which continuously varying quantities change, and “integration” studies the cumulative effect of a continuous variable. Other topics include: the study of geometry through graphical representation, further development of algebraic and trigonometric functions, and the introduction of logarithm and exponential functions.

**Mechanics**

Mechanics is the study of forces and motion. It explores the properties of position, velocity, acceleration, force, momentum, energy, power and work for a moving object, and the relationships between the forces acting on a stationary object.

**Statistics**

Statistics is concerned with the collection, organisation, representation, analysis, and interpretation of data.

Topics covered are:-

– Descriptive statistics.

– Probability.

– Random variables.

– Linear regression.

– Sampling.

– Hypothesis testing.

**Decision Mathematics (Taken as part of the Further Mathematics course)**

This covers problem-solving techniques (flow-charts and algorithms), network theory such as the most efficient way to traverse a network (the “travelling salesman problem”) and linear programming (how to maximise profit or efficiency when there are constraints on the quantities available).

## Entry requirements

Students wishing to study Mathematics at Advanced Level are recommended to have a grade 9, 8, 7 or 6 at GCSE; and to have been entered for the Higher Tier. Further Mathematics is usually taken by students who have a grade 9 or 8 at GCSE.

## Assessment

All components of the A level (and AS level) Maths course are compulsory. Assessment is via examination at the end of the course. Also on offer is Further Maths, which takes Pure Mathematics to a greater depth, introduces Decision Maths and continues the study of Statistics and Mechanics. Further Maths is very much aimed at those students who are thinking of studying Mathematics, or a subject which is Mathematics ‘heavy’, at university.

## Future opportunities

Mathematics qualifications are inevitably highly regarded in many areas of work: computer studies, finance, engineering, logistics, management, science and systems analysis are all areas looking for well qualified mathematicians.

## Further information

A scientific calculator is an essential requirement for all courses. A graphical calculator is not essential but is strongly recommended – one may be purchased through the school.

## How to apply

If you want to apply for this course, you will need to contact Malton School directly.