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Archive 2000/2001

01123 Differential Geometry Danish title: Differentialgeometri Language: Danish Credit points: 5 Type:  Open University Language: Danish Previous course: C0123 No credit points with: C0123 Prerequisite: 01012/01013/01014. 01020/01021 eller 01002/01003 Recommended semester: 4th -7th semester Scope and form: 2 lecture modules and lessons for problem solving. Examination: Written exam (13-scale) Contact person:  Jens Gravesen, Building 303, Tel. +45 4525 3064, email J.Gravesen@mat.dtu.dk Steen Markvorsen, Building 303, Tel. +45 4525 3049, email S.Markvorsen@mat.dtu.dk Department: Department of Mathematics Aim: To investigate the local shape of curves and surfaces by means of modern differential geometry. Contents: Plane curves and space curves (including Bézier curves). Curvature and torsion. Surfaces in 3-space, tangent vectors, the Gauss map, Gaussian curvature, mean curvature, developable surfaces, surfaces of revolution, minimal surfaces, surfaces of constant curvature, lines of curvature, asymptotic curves, abstract surfaces, introduction to geometric tensor analysis, geodesics. Examples showing the use of computer systems such as Mathematica and Maple.