# Further Mathematics A (G5131)

15 credits, Level 3 (sub-degree)

Autumn teaching

The module covers:

Set Theory and Propositional Logic - we will relate Venn diagrams to Boolean algebra and use both to solve problems drawn from everyday life. We will look at statements that are verifiably true or false, and combine them in compound expressions which we can then examine logically by means of truth tables.

Functions - what they are, and what they are not, sketching them and finding their roots by a variety of methods, including iterative schemes which home in on a solution.

Matrices - a powerful way of encoding vast arrays of data, with many applications in science and commerce.

Conic sections - the simple action of slicing a cone with a plane at varying angles creates a circle, an ellipse, a parabola or a hyperbola where the surfaces intersect. We examine these shapes in their standard mathematical forms, and find how they relate directly to the trajectories of objects approaching planets at different speeds.

You may have encountered some topics in your A-level studies, and now have an opportunity to revisit and consolidate your knowledge in this module.

### Teaching

75%: Lecture
25%: Practical (Workshop)

### Assessment

20%: Coursework (Portfolio, Problem set)
80%: Examination (Computer-based examination)