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

Panel lecture to introduce the facts and present the mathematical concepts, sentences and solution methods. First introductory examples support the introduction and consolidation and represent the bridge to the tasks in the associated exercises.

This lecture can be credited towards the following Bachelor degree programs:

• 033 235 Electrical Engineering and Information Technology: ECTS for Mathematics 1 for Electrical Engineering
  
• 033 261 Technical Physics: Please contact the Deanery.
• 033 221 Geodesy and Geoinformation: ECTS for Mathematics I for Geodesy

The first lecture will take place on March 3, 2025, at 8:15. Further communication regarding the course will take place in TUWEL and the forum there. Lecture notes will be provided there as well.

Written exam (120 minutes)

Ein Skriptum wird über TUWEL zur Verfügung gestellt

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.