Welcome to this course MAT2345:Analytical geometry. This course concerns analytic geometry in 2D and 3D Euclidean spaces. The course is mainly focused on the geometry of point,line and quadrics(curves and surfaces). The classification of the second order curves and surfaces in 2D and 3D respectively is done systematically by means of the techniques borrowed from the linear and multilinear algebra covered in the previous modules with codes MAT1343 and MAT2243.In this module the marriage of Algebra and Geometry is shown nicely.This marriage allows geometry problems to be solved algebraically and algebra problems to be solved geometrically.
Aims of the module:
- Define and characterize affine Euclidean spaces
- Solve problems related to affine coordinate transformations
- Appreciate the role of scalar, vector and box products in determining metric properties of various geometric objects in Affine Euclidean spaces
- Determine various positions between point-line and plane
- Classify Second Order Curves in 2D
- Classify Second Order Surfaces in 3D
Facilitators:
Mr Theoneste Hakizimana, Tel:0788592204, e-mail: htheoneste2000@yahoo.fr
Mr Emmanuel Iyamuremye, Tel:0785228276, e-mail:
This module intends to introduce students to Multilinear algebra: Bilinear and quadratics forms; Euclidean and unitary spaces; Multilinear forms and their applications in the geometry of quadrics.