Module code: G5082
15 credits in autumn semester
Teaching method: Lecture, Workshop, Class
Assessment modes: Unseen examination, Coursework
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.