Course Syllabus for

Differential Geometry

MATM13F, 7.5 credits

Valid from: Autumn 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2018-08-24

General Information

Division: Mathematics
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

Course Contents

Geometry for hypersurfaces in Euclidean spaces. The Gauss map, curvature, focal points, minimal surfaces, convex surfaces, the Gauss-Bonnet theorem in two dimensions.

Course Literature

Gudmundsson, S.: An Introduction to Gaussian Geometry. Centre for Mathematical Sciences, Lund University, 2017.

Instruction Details

Types of instruction: Lectures, seminars

Examination Details

Examination formats: Written exam, oral exam, written assignments. Compulsory assignments may occur.
Grading scale: Failed, pass

Admission Details

Admission requirements: At least 60 hp mathematics.
Assumed prior knowledge: Calculus in several variables including vector analysis in three dimensions.

Course Occasion Information

Contact and Other Information

Course coordinators:
Web page:

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