Further Mathematics
A Level Further Mathematics is designed for students who are highly motivated and passionate about mathematics. The course develops advanced mathematical knowledge and problem‑solving skills beyond standard A Level Mathematics.
It is taken alongside A Level Mathematics as a fourth subject and leads to a separate qualification.
- Qualification
- A Level
- Duration
- 2 years
Why study Further Mathematics at St Brendan’s?
Further Mathematics deepens your understanding of mathematical concepts and prepares you for university courses that require advanced maths skills.
It is particularly valuable for students considering degrees in mathematics, engineering, physics or related subjects.
Entry requirements
- 5 GCSEs at grade 4 or above
- GCSE English Language at grade 4
- GCSE Maths at grade 8 or above
Course examination breakdown
What else do I need to know?
5 GCSEs at grade 4 or above
GCSE English Language at grade 4
GCSE Maths at grade 8 or above
The course includes a combination of pure mathematics, mechanics and decision mathematics, including topics such as:
- Pure mathematics
- Complex numbers
- Proof by induction
- Vector geometry
- Calculus
- Volumes of revolution
- Polar coordinates
- Hyperbolic functions
- Differential equations
- Mechanics
- Momentum and impulse
- Work, energy and power
- Elastic energy
- Collisions in one and two dimensions
- Decision mathematics
- Algorithms and graph theory
- Algorithms on graphs
- Linear programming
- Critical path analysis
Skills Developed
- Advanced problem‑solving techniques
- Logical reasoning and mathematical modelling
- Analytical thinking
- Independent study and resilience
Teaching includes:
- Lessons delivered by experienced mathematics staff
- Use of technology and software such as Autograph, Desmos, GeoGebra and Excel
- Structured independent study and practice
Students are expected to complete substantial work outside the classroom.
Assessment is through examinations at the end of the course covering all areas of Further Mathematics.
Students are supported with:
- Access to course textbooks (included with digital A Level Maths resources or purchased separately)
- College library with mathematics materials
- Online learning resources and software tools
Students may need to purchase textbooks (approximately £100 if not accessing digital versions)
Optional purchase of a graphical calculator (recommended Casio fx‑CG50)
Financial support may be available through the College bursary scheme.
This course must be taken alongside A Level Mathematics and as part of a four‑subject study programme.
Further Mathematics supports progression into:
- University degrees in mathematics, engineering, physics, computer science and related subjects
- Courses requiring advanced analytical and problem‑solving skills
No specific course‑level enrichment activities are listed.
Progression opportunities
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