# Why Mathematics?

Mathematics at AS and Advanced GCE is a course worth studying not only as a supporting subject for the physical and social sciences, but in its own right. It is challenging but interesting.

Mathematics is usually a subject that students follow to enable them to continue studies at a higher level, but it is useful for students considering Engineering or a scientific degree or for any career involving logical thought or problem solving.

The nature of Mathematics is that it requires clear logical thinking and problem solving skills. These skills are very highly valued and those who have them are perceived by employers as able to be trained in a wide variety of career pathways which may or may not be Maths related but nevertheless use the skills which have been acquired.

# Summary of content

This WJEC GCE AS and A level in Mathematics provides a broad, coherent, satisfying and worthwhile course of study. It encourages learners to develop confidence in, and a positive attitude towards, mathematics and to recognise its importance in their own lives and to society. The specification has been designed to respond to the proposals set out in the report of the ALCAB panel on mathematics and further mathematics.

Mathematics is, inherently, a sequential subject. There is a progression of material through all levels at which the subject is studied. The specification content therefore builds on the skills, knowledge and understanding set out in the whole GCSE subject content for Mathematics and Mathematics-Numeracy for first teaching from 2015.

### Units

The following overarching themes are present in both AS and A level specifications – see the full specification for the details.

- Mathematical argument, language and proof
- Mathematical problem solving
- Mathematical modelling
- Use of data in statistics

### AS - Unit 1 - Pure Mathematics A

**Written examination: 2 hours 30 minutes**

**25% of A level qualification (62.5% of AS qualification), 120 marks**

**Topics include:** Proof; Algebra and Functions; Coordinate geometry in the (x, y) plane; Sequences and Series - The Binomial Theorem; Trigonometry; Exponentials and logarithms; Differentiation; Integration; Vectors

### AS - Unit 2 - Applied Mathematics A

**Written examination: 1 hour 45 minutes**

**15% of A level qualification (37.5% of AS qualification); 75 marks**

The paper will comprise two sections:

- Section A: Statistics (40 marks)
- Section B: Mechanics (35 marks)

**Topics include:** Statistical Sampling; Data presentation and interpretation; Probability; Statistical distributions; Statistical hypothesis testing; Quantities and units in mechanics; Kinematics; Forces and Newton’s laws; Vectors

### A2 - Unit 3 - Pure Mathematics B

**Written examination: 2 hours 30 minutes**

**35% of A level qualification; 120 marks**

**Topics include:** Proof; Algebra and Functions; Coordinate geometry in the (x, y) plane; Sequences and Series; Trigonometry; Differentiation; Integration; Numerical Methods

### A2 - Unit 4 - Applied Mathematics B

**Written examination: 1 hour 45 minutes**

**25% of A level qualification; 80 marks**

The paper will comprise two sections:

- Section A: Statistics (40 marks)
- Section B: Differential Equations and Mechanics (40 marks)

**Topics include:** Probability; Statistical distributions; Statistical hypothesis testing; Trigonometry; Differentiation; Integration; Quantities and units in mechanics; Kinematics; Forces and Newton’s laws; Moments; Vector