International AS & A Level Further Mathematics
The Cambridge International AS & A Level Further Mathematics (9231) qualification is designed for high-ability learners who have achieved, or are likely to achieve, a high grade in the Cambridge International A Level Mathematics examination. It provides learners with the opportunity to deepen their understanding of mathematics and develop advanced skills in mathematical reasoning and problem-solving.
Why Study This Course?
This course enables students to:
- Develop a deeper understanding of mathematical concepts and techniques.
- Enhance their problem-solving skills and logical reasoning abilities.
- Prepare for further study in mathematics, engineering, physics, or related fields.
- Gain a qualification that is recognized by universities and employers worldwide.
A Good Choice for Students Who:
This course is suitable for students who:
- Have a strong interest in mathematics and enjoy challenging problems.
- Wish to pursue university courses or careers in mathematics, engineering, or physical sciences.
- Seek to develop advanced mathematical skills beyond the standard A Level Mathematics syllabus.
- Aim for a qualification that demonstrates high-level mathematical competence.
- Advanced Mathematical Techniques.
- Problem-Solving Abilities.
- Analytical Thinking.
- Preparation for Higher Education.
The course assesses students based on the following objectives:
| Objective | Description | Weighting |
|---|---|---|
| AO1 | Demonstrate knowledge and understanding of mathematical concepts and techniques | 25% |
| AO2 | Apply mathematical techniques to solve problems | 25% |
| AO3 | Analyse and interpret mathematical information | 25% |
| AO4 | Construct logical arguments and proofs | 25% |
Graduates of the Cambridge International AS & A Level Further Mathematics are well-prepared for degrees in:
- Mathematics.
- Engineering.
- Physics.
- Computer Science.
- Economics
Careers include:
- Data Analyst.
- Actuary.
- Research Scientist.
- Financial Analyst.
- Software Developer.
Key Information
Level : AS Level
Paper 1: Further Pure Mathematics 1
Assessment Type: Written Examination
Duration: 1h 30m
Level : AS Level
Paper 3: Further Mechanics
Assessment Type: Written Examination
Duration: 1h 30m
Level : A Level
Paper 2: Further Pure Mathematics 2
Assessment Type: Written Examination
Duration: 1h 30m
Level : A Level
Paper 4: Further Probability & Statistics
Assessment Type: Written Examination
Duration: 1h 30m
AS Level Content:
Further Pure Mathematics 1
- Roots of polynomial equations
- Rational functions and graphs
- Summation of series
- Matrices and transformations
- Complex numbers
- Vectors
- Proof by induction
Further Mechanics
- Momentum and impulse
- Work, energy, and power
- Circular motion
- Simple harmonic motion
- Hooke's law and elastic strings
A Level Content:
Further Pure Mathematics 2
- Polar coordinates
- Hyperbolic functions
- Differential equations
- Maclaurin and Taylor series
- Further complex numbers
- Further matrices and linear transformations
Further Probability & Statistics
- Probability distributions
- Hypothesis testing
- Estimation
- Correlation and regression
- Central limit theorem
- Moment generating functions
