After successful completion of the course, students are able to:

• Define terminology and be able to reproduce mathematical sentences.
• To be able to carry out and classify methods and concepts of the content-related sub-areas in such a way that tasks can be worked on in the associated exercises and the examination.
• To use theorems and methods for the calculation of typical examples from the subject areas and to modify and apply them for the specific task.
• Establishing relationships between the subject areas of the course and any previous school knowledge.
• Draw mathematically sound conclusions in the thematic areas instead of performing lengthy calculations.

• Real and complex numbers
• Vector calculation and geometry
• Limits and convergence, sequences of numbers
• Real functions and continuity
• Differential and integral calculus in one variable
• Application of differential and integral calculus
• Matrices and linear systems of equations
• Determinants, scalar product and orthogonality

Answering and discussing students' questions, demonstrating examples

Zur Unterstützung der Studierenden und als Möglichkeit eines Anlaufpunktes für Fragen werden im Rahmen eines Fachlichen Mentoring Programmes Fragestunden angeboten. Mehr Informationen hierzu finden Sie auf fame.tuwien.ac.at.

Die LVA wird als Hybrid-Lehrveranstaltung geplant, d.h. es wird Repetitorien zu definierten Zeiten geben, welche  vor Ort oder online abgehalten werden. Alle weiteren Details werden in der Vorbesprechung der zugehörigen Vorlesung (=1. Veranstaltung der VO) erörtert.

For this course, there is no certificate or formal assessment provided.

A strong command of the computational techniques of secondary school mathematics (upper level of general education schools or equivalent vocational schools) is required. To refresh and compensate for any deficiencies, the Mathematics Bridging Course at TU Wien is explicitly recommended (see preceding courses). While some of these topics will be briefly reviewed in the course, they are primarily assumed to be known.