Mathematics

Geometry

Module code: G5082
Level 4
15 credits in autumn teaching
Teaching method: Lecture, Workshop, Class
Assessment modes: Coursework, Unseen examination

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.

Module learning outcomes

  • Understand the theory of vectors in two and three dimensions.
  • Calculate with complex numbers.
  • Understand transformations in R^2.
  • Understand the different types of conics.