After successful completion of the course, students are able to correctly apply the central concepts and computational techniques of the course. This includes  (to a lesser degree) the ability to understand and explain these concepts and techniques.

 The following topics are covered:

• Vectorspaces, matrices, systems of linear equations, scalar product, eigenvalue problem
• functions of several variables, derivatives, taylorseries, extreme values, inverse and implicit functions, coordinate transformations
• differential equations, elementary solution techniques, linear differential equations
•  integral calculus in higher dimensions

In class the concepts and methods are motivated, explained and illustrated through examples. Lecture notes and suitable textbooks should be used in addition.

written exam  mainly  based on examples but also questions on essential aspects of theory

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Mathematik 1 für ET