On July 30th, 2024, due to an important database update, there will be service interruptions in the Student Self-Service and Workforce Management areas between 8 AM and 11 AM. Thank you for your understanding.

# 101.769 Mathematical Methods of Modelling and Simulation (BME) This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2024S 2023S 2022S 2021S 2020S 2019S

2023S, UE, 1.0h, 1.5EC

## Properties

• Semester hours: 1.0
• Credits: 1.5
• Type: UE Exercise
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to:

• Being able to work on the typical tasks of numerical mathematics in practice.
• Using numerical methods and concepts and being able to adapt them to specific questions.
• To carry out the construction of numerical algorithms or to adapt and use existing algorithms.
• Able to adapt numerical methods and procedures to given situations.
• Develop an associated solution strategy to solve numerical problems.
• To determine the influence of numerical algorithms qualitatively and quantitatively.
• Use and compare numerical algorithms in specific tasks.

## Subject of course

• Calibration of models
• Systems of linear equations
• Least squares problem
• Nonlinear systems of equations
• Numerical differentiation
• Ordinary differential equations
• Hybrid models
• Differential algebraic models
• Partial differential equations
• Numerical methods in data modelling

## Teaching methods

The concepts and methods of the lecture are practically examined and specific questions answered on specific tasks. The solutions are evaluated with a “score” function, which records the quality of the elaboration and compares it in the exercise group. In the face-to-face exercise itself, the solutions are presented by the students and questions from the LVA management have to be answered.

## Mode of examination

Immanent

This course is intended for the adaptation module for students from the Biomedical Engineering master’s degree.

For students of other courses or BME students who do not want to take the LVA as an adaptation module, the UE with the LVA number 101.556 is intended.

The course is held through hybrid teaching, i.e. the exercises themselves are held online, and the exercise sheets are discussed before the elaboration as part of the classroom hours of the lecture. You will receive detailed information in the associated TUWEL course and the preliminary discussion.

## Examination modalities

Examination immanent course

Not necessary

## Curricula

Study CodeObligationSemesterPrecon.Info
ALG For all Students Not specified

## Literature

No lecture notes are available.

## Previous knowledge

Basic knowledge in analysis, linear algebra and differential equations

German