After successfully attending the class students are familiar with the basic concepts related to the differential and integral calculus of multivariable calculus. 

Presentation at blackboard with computer support

1 Fields and vector differential operatorsVectors in 3-dimensional Euclidean spaceScalar fields, vector fields and curvesVector differential operatorsVector differential identitiesSpecial vector fields and potentialsTotal derivatives of curvesChain rule for fields and curvesTaylor's theoremExtremal values2 Vector integrationLine integralsMultiple integralsSpecial coordinate systems3 Green's, Gauß's and Stokes' theoremsGreen's theoremGauß's theoremStokes' theorem4 Ordinary differential equations

Analysis 1 for Engineers, interest in mathematics

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M. Brokate, P. Manchanda, A. Hassan Siddiqi: Calculus for Scientists and Engineers, Industrial and Applied Mathematics, Springer, 2019K. Burg, H. Haf, F. Wille, A. Meister: Höhere Mathematik für Ingenieure Band I, Analysis,   Teubner-Ingenieurmathematik, Vieweg+Teubner, Wiesbaden, 2011 (Standard reference for german speaking students)

written examallowed aids: lecture notes with handwritten notes, no electronic aids (tablets, smartphones, etc.)

contents of lectures

50% of the points in the final exam are sufficient to pass