15 credits, Level 4
Topics include: vectors in two and three dimensions. Vector algebra: addition, scalar product, vector product, including triple products. Applications in two- and three-dimensional geometry: points, lines, planes, geometrical theorems. Area and volume. Linear dependence and determinants. Polar co-ordinates in two and three dimensions. Definitions of a group and a field. Polynomials. Complex numbers, Argand plane, De Moivre's theorem. Matrices: addition, multiplication, inverses. Transformations in R^2 and R^3: isometries. Analytical geometry: classification and properties of conics.
23%: Practical (Workshop)
8%: Seminar (Class)
20%: Coursework (Presentation, Problem Set, Test)
80%: Examination (Unseen examination)
Contact hours and workload
This module is 150 hours of work. This breaks down into 48 hours of contact time and 102 hours of independent study.
This module is running in the academic year 2017/18. We also plan to offer it in future academic years. It may become unavailable due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of such changes to modules at the earliest opportunity.
This module is offered on the following courses: