Mathematics & further mathematics
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.