Valid from: Autumn 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2018-08-24
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MATM13
Teaching language: English
The aim of the course is to give the graduate student good knowledge about important concepts for the mathematical description of smooth two dimensional surfaces in space.
Knowledge and Understanding
For a passing grade the doctoral student must
Geometry for hypersurfaces in Euclidean spaces. The Gauss map, curvature, focal points, minimal surfaces, convex surfaces, the Gauss-Bonnet theorem in two dimensions.
Gudmundsson, S.: An Introduction to Gaussian Geometry. Centre for Mathematical Sciences, Lund University, 2017.
Types of instruction: Lectures, seminars
Examination formats: Written exam, oral exam, written assignments.
Compulsory assignments may occur.
Grading scale: Failed, pass
Admission requirements: At least 60 hp mathematics.
Assumed prior knowledge: Calculus in several variables including vector analysis in three dimensions.
Web page: http://www.matematik.lu.se/matematiklu/personal/sigma/MATM/Gaussian-Geometry.htmll