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Sixth Form Course Booklet 2013 - Bromsgrove School

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FURTHER MATHEMATICS<br />

WHY STUDY FURTHER MATHEMATICS?<br />

Mathematics is a hugely broad subject that includes branches that are utterly different other than that they make use<br />

of symbolisation and that they involve logical and analytical processes. Single mathematics A level of necessity<br />

concentrates mostly on those topics within the subject that are needed in its role as a service provider for other<br />

subjects or further study. Further mathematics enables some appreciation of the breadth of the subject to be<br />

developed. It enables abstract ideas to be studied in rather more depth. It enables applied ideas to be studied in depth<br />

that will give study of mathematically based higher education courses a flying start. Since able mathematicians can<br />

work more quickly through ideas and their mathematics is more advanced at the start of the course, they will not find<br />

the single subject particularly challenging; this course gives then something to get their teeth into.<br />

AIMS OF THE COURSE<br />

1. To develop interest in and enjoyment of the subject.<br />

2. To develop an appreciation of the breadth and depth of mathematics.<br />

3. To develop an ability to think abstractly and logically in depth.<br />

4. To encourage a sense of achievement in meeting an intellectual challenge.<br />

5. To develop an advanced base for further study.<br />

6. To develop affection for the subject.<br />

SKILLS NEEDED FOR AND DEVELOPED IN THE COURSE<br />

These are essentially the same as those needed for single mathematics, but developed to a higher degree. Pupils<br />

studying further mathematics need to take full responsibility for their own learning and to take initiative when (if) they<br />

hit difficulty.<br />

REQUIREMENTS FOR STARTING THE COURSE<br />

The course is Mathematics A level in the Lower <strong>Sixth</strong> and Further Mathematics A level in the Upper <strong>Sixth</strong>. The<br />

requirement to start the course is IGCSE Mathematics grade A*, but preferably some mathematical study beyond<br />

GCSE, such as the units C1 and C2 (as covered by Set 1 in the Fifth <strong>Form</strong>). Normally Further Mathematics A level is<br />

only studied if a grade A has been achieved in the Lower <strong>Sixth</strong> or if an A can be guaranteed through retakes in the<br />

Upper <strong>Sixth</strong>. If this is not the case, it is usual to aim for AS Further Mathematics instead, which allows time to<br />

concentrate on achieving the A in Mathematics.<br />

<strong>Course</strong> followed: Mathematics<br />

Examination Board: Edexcel<br />

CONTENT OF THE COURSE UNITS<br />

A minimum of six further units are studied in addition to those covered in the Lower <strong>Sixth</strong> Mathematics A level course.<br />

These are a selection from Further Pure Mathematics 1, 2 and 3 Mechanics 3 and 4, Statistics 2 and 3 and Decision<br />

Mathematics 1. These ensure that pupils study mathematics to the necessary breadth and depth both to be<br />

thoroughly prepared for the study of the subject at university and to have a clear idea of the huge range of its<br />

application.<br />

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