Advanced Higher Mathematics (C747 77)

The course consists of three mandatory Units and an externally marked exam.

• Methods in Algebra and Calculus (Advanced Higher): The general aim of the Unit is to develop advanced knowledge and skills in algebra and calculus that can be used in practical and abstract situations to manage information in mathematical form. The Outcomes cover partial fractions, standard procedures for both differential calculus and integral calculus, as well as methods for solving both first order and second order differential equations. The importance of logical thinking and proof is emphasised throughout.
• Applications of Algebra and Calculus (Advanced Higher): The general aim of the Unit is to develop advanced knowledge and skills that involve the application of algebra and calculus to real life and mathematical situations, including applications to geometry. Learners will acquire skills in interpreting and analysing problem situations where these skills can be used. The Outcomes cover the binomial theorem, the algebra of complex numbers, properties of functions, and rates of change. Aspects of sequences and series are introduced, including summations, proved by induction.
• Geometry, Proof and Systems of Equations (Advanced Higher): The general aim of the Unit is to develop advanced knowledge and skills that involve geometry, number and algebra, and to examine the close relationship between them. Learners will develop skills in logical thinking. The Outcomes cover matrices, vectors, solving systems of equations, the geometry of complex numbers, as well as processes of rigorous proof.

Course Assessment
To gain the award of the Course, the learner must pass all of the Units as well as the Course assessment(externally marked exam). The externally marked exam is graded A–D.