101.880 VU (4std Vorlesung/Übung, Wintersemester 2020/21)
Applied Mathematics Foundations
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Dates

Due to the current COVID-19 situation, the lecture will be held online. During the following dates, the lectures will be live-recorded and streamed via Zoom. Afterwards all the lectures can also be found on TUWEL.

Attending the lecture via Zoom is not mandatory, but may present some valuable insights. Attending the exercise part of the VU is mandatory.

Exercises will be held every two weeks (look for the dates below) and the exercise sheets will be announced two weeks in advance.

Learning outcomes

After successful completion of the course, students are able to define, analyze and manipulate partial differential equations with the help of operators, vector analysis, integral- and function theory. Moreover the lecture recalls concepts such calculus of variations, optimization and tensor calculus.

Subject of course

- Vector analysis and line integrals
- Integrals on areas and volumes and integral theorems
- Partial differential equations
- Functiontheory
- Integral transformation

Downloads

Lecture notes will be written during the semester and uploaded here. Exercise sheets will also be uploaded here.

01.10.2020Lecture notes - Chapters 1-2[pdf]

Lectures

#DateTopicAvailability
105.10.2020Introduction
205.10.2020Vector spacesOnline in TUWEL
307.10.2020Bases, Banach and Hilbert spaces

Exercises

#DateTopicDownload
121.10.2020
204.11.2020
318.11.2020
402.12.2020
516.12.2020
620.01.2021

Examination

Exercises with presentations, final examination (written) at the end