# 101.880 VU (4std Vorlesung/Übung, Wintersemester 2020/21)

Applied Mathematics Foundations

TISS-Homepage

## 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.

**First Meeting: Mo 5.10.2020 13:00-15:00**Zoom-Link at TUWEL

**Course dates: Mon 13:00-15:00, Wed 13:00-15:00**Zoom-Link at 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.

01.10.2020 | Lecture notes - Chapters 1-2 | [pdf] |

## Lectures

# | Date | Topic | Availability |
---|---|---|---|

1 | 05.10.2020 | Introduction | |

2 | 05.10.2020 | Vector spaces | Online in TUWEL |

3 | 07.10.2020 | Bases, Banach and Hilbert spaces |

## Exercises

# | Date | Topic | Download |
---|---|---|---|

1 | 21.10.2020 | ||

2 | 04.11.2020 | ||

3 | 18.11.2020 | ||

4 | 02.12.2020 | ||

5 | 16.12.2020 | ||

6 | 20.01.2021 |