# Mathematics A Level at Copthall School

## Course description

Why choose to study Mathematics?

Some people may be attracted to Mathematics because of its intrinsic interest, others because they have a talent for the subject and wish to apply it to the physical sciences or to economics and management. A level Maths is considered by many employers, Universities and Colleges as a vital subject, the one subject that catches their attention on an application form

## Course content

Course outline:

The course will be examined by three papers, each 2 hours long. Papers 1 and 2 will be assessing the Pure Mathematics content and Paper 3 will assess the Statistics and Mechanics parts of the course. All students will follow the same course content.

**Paper 1: Pure Mathematics 1**

- Proof
- Algebra and functions – indices and surds, quadratics, simultaneous equations, inequalities, functions
- Coordinate geometry in the (x,y) plane – straight lines, the circle
- Sequences and series – binomial expansion
- Trigonometry – simple identities and equations
- Exponentials and logarithms
- Differentiation – first and second derivatives, tangents and normals
- Integration – definite and indefinite integration
- Vectors

**Paper 2: Pure Mathematics 2**

- Proof
- Algebra and functions – algebraic division, composite and inverse functions, partial fractions
- Coordinate geometry in the (x,y) plane – parametric equations
- Sequences and series – binomial expansion for rational powers, sigma notation, arithmetic and geometric series
- Trigonometry – radian measure, exact values, reciprocal ratios, further identities and equations
- Differentiation – trigonometric functions, product and quotient rules, parametric differentiation
- Integration – area under a curve, substitution and integration by parts
- Numerical methods – roots of an equation, iterative methods, trapezium rule
- Vectors – three dimensions

## Entry requirements

Students should achieve a grade 6 minimum at GCSE Maths to study A’ level Mathematics.

## Assessment

All examinations are taken at the end of Year 13. The three papers are of equal weighting, each marked out of 100. Students must answer all the questions. Calculators can be used in all papers but there will be questions in which appropriate working must be shown to gain marks.

## Future opportunities

Higher education opportunities:

An A’ level in Maths allows you to go onto study a whole range of subjects, from science including Biochemistry, Physics and Chemistry, to Accountancy, Business Studies, Economics or Statistics. It shows you are able to think both logically and problem solve – valuable skills that every university is looking for.

## How to apply

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