Winter term 2025/26 (1 VU)

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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]

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).

Consultation hour on Tuesday 07.10.2025 and Monday 13.10.2025

• During consultation hour on Tuesday 07.10.2025, 11:00-13:00 and Monday 13.10.2025, 10:00-12:00 in the Zeichensaal 3, you will have the opportunity to receive assistance with the exercise sheets.

Registration

• You must register in TISS until 12.10.2025 for the lecture Introduction to working mathematically (VU 101.672).
• You must register in TISS until 06.10.2025 for the Exercises in Analysis 1 (UE 101.A55) and Linear Algebra und Geometry 1 (UE 104.694).

Questions about the lecture

• The lecture will be held in person (in German). 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.A55) and Linear Algebra and Geometry 1 (VO 104.504 + 104.694).
• 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.