Past Papers Useful Links Revision Material
The course comprises three areas of study.
Methods in Algebra and Calculus
You will:
- develop advanced knowledge and skills in algebra and calculus that can be used in practical and abstract situations to manage information in mathematical form
- study partial fractions, standard procedures for both differential calculus and integral calculus
- explore methods for solving both first order and second order differential equations.
The importance of logical thinking and proof is emphasised throughout this unit.
Applications of Algebra and Calculus
You will:
- develop advanced knowledge and skills that involve the application of algebra and calculus to real-life and mathematical situations, including applications of geometry
- acquire skills in interpreting and analysing problem situations where these skills can be used
- explore binomial theorem, the algebra of complex numbers, properties of functions, rates of change and volumes of revolution
- study aspects of sequences and series, including summations, proved by induction.
Geometry, Proof and Systems of Equations
You will:
- develop advanced knowledge and skills that involve geometry, number and algebra, and to examine the close relationship between them
- develop skills in logical thinking
- explore matrices, vectors, solving systems of equations, the geometry of complex numbers, as well as processes of rigorous proof.
