Modules

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Differential Geometry

Differentialgeometrie

6 CPirregularlyEN

Prerequisites

Recommended, as written

Knowledge of the content of the modules • 11103: Analysis I • 11104: Analysis II • 11101: Lineare Algebra und analytische Geometrie I

Contents

• Euclidean geometry • Curve geometry • Classic planar theory • Inner planar geometry • Connection of geometry with calculus and topology

Learning outcomes

After successfully completing the module, students are familiar with the basic concepts and techniques of differential geometry and able to apply the appropriate techniques.

Assessment

Prerequisite: • Successful completion of homework (50% of points must be reached) Final module examination: • Written examination, 90 min.

Literature (1)
  • Martin Lipschutz, Schaum's Outline of Differential Geometry, Schaum Outline Series

Remarks

• Study programme Angewandte Mathematik M.Sc.: Compulsory elective module in complex „Analysis / Algebra / Kombinatorik“ • Study programme Mathematik B.Sc.: Compulsory elective module in complex „Vertiefung“, in limited extend • Study programme Wirtschaftsmathematik B.Sc.: Compulsory elective module in complex „Vertiefung“, in limited extend • Study programme Artificial Intelligence M.Sc.: Compulsory elective module in complex „Knowledge Acquisition, Representation, and Processing“ • Study programme Physics M.Sc.: Compulsory elective module in complex „Minor Subject“ • Study programme Mathematics M.Sc.: Compulsory elective module in complex „Analysis / Algebra / Combinatorics“ • Study programme Mathematical Data Science M.Sc.: Compulsory elective module in complex „Fundamentals of Data Science“

Source: BTU's module description · retrieved 29 Sep 2026Original

Module catalogue · unofficial

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Data as of 21 Oct 2026Winter 2026/27Source: BTU