After successful completion of the course, students are able to correctly apply the central concepts and computational techniques of the course. This includes the ability to understand and to explain these concepts and techniques. The following topics are included:

• real and complex numbers,
• solving equations and inequalities,
• elementary vector calculus and geometry,
• limits and convergence,
• sequences and series,
• functions (general functions, elementary functions, continuity),
• differential calculus for functions of a real variable,
• integral calculus for functions of a real variable.

Real and complex numbers, elementary vector calculus and geometry, sets and functions, limits and convergence, sequences and series, functions of a real variable, differential- and integral calculus for functions of one real variable.

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

Grade of the lecture.

Sound knowledge of mathematics at the level of higher school education (Matura).

In case of existing deficiencies we recommend the Angleichungskurs Mathematik der TU Wien.