AS/A LEVEL MATHEMATICS, STATISTICS AND FURTHER MATHEMATICS
WHAT IS MATHEMATICS?
At advanced level we can delve into four broad areas (depending on the course chosen) -
Pure Maths – is the foundation of all Maths courses and comprises topics such as algebra, trigonometry and calculus.
Mechanics – is essentially the mathematics of force and motion as applied to particles or larger bodies.
Statistics – involves the extension of ideas of data handling and probability, with a view to being able to draw conclusions or answer questions like ‘Does drug X reduce heart attacks?’
Decision Maths – is the newest branch of mathematics and involves the use of algorithms to solve practical problems like how to visit several towns and return home by the shortest route (‘the travelling salesperson problem’)
WHY SHOULD I STUDY MATHEMATICS OR STATISTICS?
Mathematics / Statistics is a useful if not essential tool in many other areas of study, particularly in science. It can also be stimulating and challenging in its own right! All Mathematics A levels are highly regarded by employers, universities and colleges for a wide range of courses and careers.
USEFUL SKILLS & INTERESTS
For Mathematics you should be comfortable when handling algebra as it is a vital part of all Maths courses. You may even enjoy Maths and get satisfaction from solving problems! For Statistics you should be comfortable handling numbers and prefer more practical problems.
COURSE STRUCTURE & CONTENT
All Mathematics and Statistics courses are made up of units from the AQA Specifications and lead to AS or A level awards in Statistics or Mathematics or Further Mathematics. (In rare circumstances an award in Pure Maths is possible). The units are from the areas of Pure Mathematics (PC (Pure Core) units and FP (Further Pure) units), Statistics (S units),
Mechanics (M units), and Decision Mathematics (D units).
There are five different courses to choose from:
|
Course
|
Year 1 (AS) units
|
Year 2 (A2) units
|
|
Maths - Pure & Mechanics
|
PC1, PC2, M1.
|
PC3, PC4, M2.
|
|
Maths - Pure & Statistics
|
PC1, PC2, S1.
|
PC3, PC4, S2.
|
|
Maths - Pure & Decision
|
PC1, PC2, D1.
|
PC3, PC4, D2.
|
|
Statistics
|
S1, S2, S3
|
S4, S5, S6
|
|
Further Mathematics (with Maths)
|
PC1–PC4, M1, D1
|
FP1–FP3, + 3 more of your choice
|
Also note –
· The Statistics course has no Pure Maths units and makes minimal demands in terms of algebraic skills.
· An AS level in Further Mathematics can be taken in year 2 in addition to any Maths A level course.
· It may be possible to change the application area studied in year 2 – for example taking D1 instead of M2. This change would be discussed at the end of year 1.
HOW WILL I BE ASSESSED?
All the units are assessed by examinations lasting 1 hour 30 minutes. There is no coursework component. Each unit counts for one sixth of the total A level marks (or one third of the marks for the AS level award).
CHOOSING THE RIGHT COURSE
In choosing your course you may well consider these factors
- GCSE grade
- Other subjects being studied
- Possible career intentions
- Personal preference
For example, students taking science subjects often take Mathematics as well. In particular, those taking Physics tend to take Pure and Mechanics because there will be some overlap between the courses and they will support each other well. Similarly those students taking other subjects which have a statistical element within them (such as Psychology, Biology, Geography) would benefit from taking Statistics or possibly Pure and Statistics. The Pure and Decision course combines well with subjects like Computing, Information Technology or Business Studies. Further Maths goes well with almost anything and gives an excellent basis for many Maths/Science degree courses.
COURSE COMMITMENT
Mathematics or Statistics use one block on the timetable but Further Maths (with Maths) use two blocks. By the nature of the subject we are always building on previous work so it is vital to keep up to date and learn the work thoroughly as it is covered by completing regular assignments and practice questions.
COURSE COSTS
In all units except PC1 a scientific calculator is required (with two-variable statistics functions if taking Statistics units) – we recommend the Sharp ELW531B, obtainable in College in September (for £6). A graphical calculator can also be used in the exams. You can order one through the College if you want one but they are not essential.
ENTRANCE REQUIREMENTS
The minimum requirement for Statistics is GCSE grade C in Mathematics (Foundation or Higher level). For Mathematics it is at least grade C from the Higher level. If you have obtained a Higher level grade B or C and want to take Mathematics (not Statistics) you will also take the ‘Foundations of Advanced Maths’ course - this gives you the extra support needed to make a successful transition to AS level Maths. For Further Mathematics normally a grade A (or A*) at GCSE is required.
PROGRESSION ROUTES
All these A levels can enable progression to an extremely wide range of degree courses, depending on subject combinations. Maths is essential for many science based courses and Further Maths is recommended for many Maths/Physics/Engineering degrees.
FURTHER INFORMATION
Full course specifications can be found at www.aqa.org.uk
If you require further information please contact the Department Manager.
|