Winter term 2025/26 (1 VU)

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Lecture (daily from 02.10 – 14.10.2025)

• Each lecture lasts 90 minutes and takes place daily from 08:15 to 09:00 and from 09:15 to 10:00 (Thursday, October 2 to Tuesday, October 14) in the Nöbauer lecture hall FH 8 (Freihaus, Wiedner Hauptstraße 8-10, yellow section, 2. floor) without attendance control.
• The lecture will be held in German. However, you are of course welcome to ask your questions in English.
• The lecture takes place at the same times and in the same lecture hall as the Analysis 1 (VO 101.674) and Linear Algebra and Geometry 1 (VO 104.504) lectures, which begin only after the Introduction to working mathematically has concluded.
• The lecture Linear Algebra and Geometry 1 starts on Wednesday 15.10.
• The lecture Analysis 1 starts on Friday 17.10.
• There is no final exam in the lecture Introduction to working mathematically

Exercise sessions on Wednesday 08.10.2025 and Tuesday 14.10.2025

• The exercises take place in small groups.
• Participation in both exercise sessions is mandatory!
• The first exercise session will take place on Wednesday 08.10.2025, as part of the Linear Algebra and Geometry 1 exercise (same exercise group + time slot + instructor as for Linear Algebra and Geometry 1).
• The second exercise session will take place on Tuesday 14.10.2025, as part of the Analysis 1 exercise (same exercise group + time slot + instructor as for  Analysis 1).

Registration

• You must register in TISS for the Exercises in Analysis 1 (UE 101.675) and Linear Algebra und Geometry 1 (UE 104.274).
• By doing so, you are automatically registered for the Introduction to working mathematically.
• For your information: The exact registration deadlines have not yet been determined!

Lecture materials

• The lecture materials as well as the two exercise sheets will be made available for download on this homepage in parallel with the lecture.
• If you're interested, you are welcome to take a look at the lecture notes by Harald Woracek, who taught the Introduction to working mathematically in the summer term 2025: [pdf]

Questions about the lecture

• The lecture will be held in person (in German) and will be recorded as far as possible. Of course, you are welcome to ask questions at any time during the lecture.
• You can also post your questions in the TISS forum after the lecture, where they will be answered promptly.

Learning objective of the course

• The aim of the Introduction to working mathematically is to build a bridge between school mathematics and higher mathematics, enabling you to better follow the content of Analysis 1 (VO 101.674 + UE 101.675) and Linear Algebra and Geometry 1 (VO 104.504 + UE 104.274).
• What is a proof?
• Elementary propositional logic and predicate logic, logical reasoning
• Sets and elements
• Relations and functions
• Natural numbers and mathematical induction

Email address of the course instructors:

• Paula Hilbert paula.hilbert@asc.tuwien.ac.at
• Dirk Praetorius: dirk.praetorius@asc.tuwien.ac.at

Questions / Uncertainties

• If you have any questions about the lecture or exercises, you can use the TISS forum.