# Mathematics and Further Mathematics A Level

A-level Mathematics provides a thorough grounding in mathematical tools and techniques. It provides a foundation for further studies in a variety of subjects including Science, Engineering and Economics.

The aims of the A-level course are that students:

• develop the understanding of mathematical processes.

• are able to construct mathematical proofs

• extend their range of mathematical skills and use them in more difficult unstructured problems

• apply mathematics to the real world

• develop an awareness and relevance of mathematics to other fields of study, to the world of work and to society in general.

• take responsibility for their own learning and the evaluation of their own mathematical development.

• develop abilities to reason logically and recognise incorrect reasoning.

The logic and reasoning skills developed by studying A-level Mathematics makes sure the qualification is widely respected in all areas.

**Entry Requirements**

Mathematics is a sequential subject and each module builds upon previous modules. A solid grasp of mathematics at GCSE level is essential – preferably A* A or B, along with an enthusiastic interest in the subject and a determination to work hard.

To progress to A2 Mathematics it is essential that you have successfully completed the AS course.

**Course Content**

The specification we follow is the WJEC Syllabus. All students will be entered for AS, regardless of whether or not they intend to follow the A-level course for the full two years.

**AS Level (one year) and Year 1 A-level content:**

Candidates for an Advanced Subsidiary GCE qualification are required to sit three units.

Core Mathematics 1, Core Mathematics 2 and Mechanics 1

C1 – Algebra, Coordinate Geometry and Calculus

C2 – Series, Logarithms, Coordinate Geometry of the circle, Trigonometry, Further Calculus

M1- Motion, Dynamics, Newton’s laws of motion, Friction. Momentum, Statics

**Assessment**

AS Mathematics exams (after 1 year of study):

Part 1 (Advanced Subsidiary – AS) Papers C1, C2, M1 and S1 are deemed to be AS units.

Each paper will be of 1½ hours’ duration and will consist of questions with varying mark allocations which will be indicated on the paper.

The total number of marks allocated to each paper will be 75. Candidates will be expected to answer all questions.

**A-level Mathematics exams** (after 2 years of study):

The Advanced GCE examination consists of two parts:

Part 1 (Advanced Subsidiary – AS) and Part 2 (A2). Papers C1, C2, M1 and S1 are deemed to be AS units. The remaining papers C3 and C4 are deemed to be A2 units.

C3 – Further Trigonometry, Functions, Further Calculus, and Simpsons Rule.

C4 – Binomial Series , Parametric equations, Differential equations, Further Calculus , Simpsons Rule

**Subject Core**

The subject core for AS Mathematics is included in each combination of papers leading to an AS award entitled ‘Mathematics’.

The subject core for Advanced Level Mathematics is included in each combination of papers leading to an A level award entitled ‘Mathematics’.

**Papers**

Each paper will be of 1½ hours’ duration and will consist of questions with varying mark allocations which will be indicated on the paper.

The total number of marks allocated to each paper will be 75. Candidates will be expected to answer all questions.

**A-level Further Mathematics**

A level Further Mathematics is designed to broaden and deepen the mathematical knowledge and skills of the mathematician. It is designed to provide a stimulating experience for those students who really enjoy the subject. New topics are introduced whilst others already studied are taken to a greater depth. It follows the same format as Mathematics however three extra units of Pure Mathematics are studies FP1, FP2, and FP3 together with a choice of three applications.

**Where does it lead?**

Mathematics is one of the best subjects to develop your analytical, research and problem solving skills. Not only will studying mathematics help give you the knowledge to tackle scientific, mechanical, coding and abstract problems, it will also help you develop logic to tackle everyday issues like planning projects, managing budgets and even debating effectively.

Mathematics is a facilitating subject, it will help you to study lots of other subjects and pursue lots of different careers. Mathematics helps supports the study of subjects like Physics, Chemistry, Engineering, IT, Economics, Business and Biology.

Mathematics A-level is a must have for degrees in: Physics, Engineering, Actuarial Science, Economics and, of course, Mathematics, however you will need to study a Further Mathematics course as well to do this.

Mathematics is recommended or sometimes required for: Computer Science, Accounting, Chemistry, Biology and Life Sciences, Medicine / Nursing, Dentistry, Business Studies, Management Studies, Finance, Architecture, Geology, Psychology, Surveying and even Philosophy.

**Reading List**

**Mathematics**

WJEC AS Mathematics Core 1 and 2 Study and Revision Guide (ISBN 9781908682024)

WJEC AS Mathematics Statistics 1 Study and Revision Guide (ISBN 9781908682178)

WJEC AS Mathematics Mechanics 1 Study and Revision Guide (ISBN 9781908682161)

WJEC A2 Mathematics Core 3 and 4 Study and Revision Guide (ISBN 9781908682031)

All of the above are written by Stephen Doyle edited by Tony Holloway / Howard Thomas Illuminate Publishing

**Further Mathematics**

Understanding Pure Mathematics A.J.Sandler D.W.S. Thorning Oxford University Press (ISBN 0-19-914243-2)

Further Pure Mathematics L.Bostock S. Chandler C.Rourke Stanley Thornes (ISBN 0-85950-103-5)

**Useful links**

**Further Mathematics Support Programme **

The FMSP programme produces resources for enrichment and the promotion of Mathematics

Mathematics in Education and Industry

**UK Mathematics Trust (UKMT)**

The UKMT organises national Mathematics competitions in the United Kingdom for 11-18 year old school pupils.

**Mathematics in Education and Industry**

MEI is a National Mathematics education charity that is committed to improving Mathematics education.

**Useful websites:**

There are many, the following is a short selection:

www.ukmt.org.uk

www.intmath.com

www.mathscentre.ac.uk

www.examssolution.co.uk

www.mathsbank.co.uk

Download the Advanced Level Mathematics Specification here>>