AS/A2 Mathematics/FURTHER mATHEMATICS

mATHEMATICS

AS Course Construction

Unit 1 – Pure Mathematics A (25% of A level qualification) (62·5% of AS qualification) 120 marks

Pure Mathematics

Unit 2 – Applied Mathematics A (15% of A level qualification) (37·5% of AS qualification) 75 marks

Section A: Statistics (40 marks)

Section B: Mechanics (35 marks)

The subject content is set out below:

Unit 1: Pure Mathematics A - Written examination: 2 hours 30 minutes

• Proof

• Algebra and Functions

• Coordinate geometry in the (x, y) plane

• Sequences and Series – the Binomial Theorem

• Trigonometry

• Exponentials and logarithms

• Differentiation

• Integration

• Vectors

Unit 2: Applied Mathematics A - Written examination: 1 hour 45 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in Unit 1.

Statistics

• Statistical Sampling

• Data Presentation and Interpretation

• Probability

• Statistical Distributions

• Statistical Hypothesis Testing

Mechanics

• Quantities and units in Mechanics

• Kinematics

• Forces and Newton’s Laws

• Vectors

A2 Course Construction

Unit 3 – Pure Mathematics B (35% of A level qualification) 120 marks

Pure Mathematics

Unit 4 – Applied Mathematics B (25% of A level qualification) 80 marks

Section A: Statistics (40 marks)

Section B: Differential Equations and Mechanics (40 marks)

The subject content is set out below:

Unit 3: Pure Mathematics B - Written examination: 2 hours 30 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in Unit 1.

• Proof

• Algebra and Functions

• Coordinate geometry in the (x, y) plane

• Sequences and Series

• Trigonometry

• Differentiation

• Integration

• Numerical Methods

Unit 4: Applied Mathematics B - Written examination: 1 hours 45 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in Unit 1, Unit 2 and Unit 3.

Statistics

• Probability

• Statistical distributions

• Statistical hypothesis testing

Differential Equations and Mechanics

• Trigonometry

• Differentiation

• Integration

• Quantities and units in Mechanics

• Kinematics

• Forces and Newton’s Laws

• Moments

• Vectors

The use of technology, in particular mathematical and statistical graphing tools and spreadsheets, permeates the study of GCE AS and A Level Mathematics. A calculator is required for use in all assessments in this specification. The calculator must include the following features: an iterative function; the ability to compute summary statistics and access probabilities from standard statistical tables.

Please note

To enrol on this course, pupils will need to have achieved at least a grade B in GCSE Mathematics. Ideally, this will have come from studying the higher tier specification however if pupils have only studied the intermediate tier specification, they will be required to successfully engage in significant extra study prior to commencing the course.

At the end of the summer term, the Head Start to A-Level Maths book, of pre requisite skills, will be provided to all pupils opting for this subject. Completion of this programme of study is compulsory for pupils who have studied the intermediate tier specification and advantageous for all other pupils. These books should be returned, together with completed and marked work, at the start of September.

FURTHER MATHEMATICS

AS Course Construction

All AS units are compulsory

Unit 1 – Further Pure Mathematics A (33% of AS qualification) 70 marks

Unit 2 – Further Statistics A (33% of AS qualification) 70 marks

Unit 3 – Further Mechanics A (33% of AS qualification) 70 marks

The subject content is set out below:

Unit 1: Further Pure Mathematics A - Written examination: 1 hours 30 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in AS Mathematics.

• Proof

• Complex Numbers

• Matrices

• Further Algebra and Functions

• Further Vectors

Unit 2: Further Statistics A - Written examination: 1 hours 30 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in AS Mathematics.

• Random Variables and the Poisson Process

• Exploring relationships between variables and goodness of fit of a model

Unit 3: Further Mechanics A - Written examination: 1 hours 30 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in AS Mathematics.

• Momentum and Impulse

• Hooke's Law, Work, Energy and Power

• Circular Motion

• Differentiation and Integration of Vectors

A2 Course Construction

Candidates must take Unit 4 and either Unit 5 or Unit 6.

Unit 4 – Further Pure Mathematics B (35% of A level qualification) 120 marks

Unit 5 – Further Statistics B (25% of A level qualification) 80 marks

Unit 6 – Further Mechanic B (25% of A level qualification) 80 marks

The subject content is set out below:

Unit 4: Further Pure Mathematics B - Written examination: 2 hours 30 minutes

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in A level Mathematics.

• Complex Numbers

• Further Trigonometry

• Matrices

• Further Algebra and Functions

• Further Calculus

• Polar Coordinates

• Hyperbolic Functions

• Differential Equations

Unit 5: Further Statistics B - Written examination: 1 hours 45 minutes

Candidates will choose either Unit 5 or Unit 6.

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in A Level Mathematics.

• Samples and Populations

• Statistical Distributions

• Hypothesis Testing

• Estimation

Unit 6: Further Mechanics B - Written examination: 1 hours 45 minutes

Candidates will choose either Unit 5 or Unit 6.

Candidates will be expected to be familiar with the knowledge, skills and understanding implicit in A Level Mathematics.

• Rectilinear Motion

• Momentum and Impulse

• Moments and Centre of Mass

• Equilibrium of Rigid Bodies

• Differential Equations

The use of technology, in particular mathematical and statistical graphing tools and spreadsheets, permeates the study of GCE AS and A Level Mathematics. A calculator is required for use in all assessments in this specification. The calculator must include the following features: an iterative function; the ability to compute summary statistics and access probabilities from standard statistical tables.

Please note

To enrol on this course, pupils will need to have achieved a grade A* in GCSE Mathematics together with a positive recommendation from their mathematics teacher.