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173-0001-00L 6 Credits NDS D-MAVT
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Mathematical Tools I - Advanced Linear Algebra

Lecturers & Examiners: Heinz Rasched
VVZ CR n/a

Last Updated: 2026-02-05 16:37:54

Abstract

Introduction to advanced Linear Algebra with emphasis on applications like Linear ODE systems and Fourier theory - accompanied by working with Matlab and its application.

Objective

Students understand mathematics as a language for modeling and as a tool for solving practical engineering problems. They can analyse models, describe solutions qualitatively or calculate them explicitly if needed. They can solve examples as well as their practical applications manually and using computer algebra systems.

Content

1st week: Dedicated to abstract notion of vector space with main application to linear ODE-systems, including recap of ODEs (1st and 2nd order). 2nd week: Focus on Euclidean vector spaces with main application to Fourier series.

Resources

Lecture Notes

Slides, exercises, Matlab codes, recording etc. are in the canvas course

Literature

David C. Lay et al, Linear Algebra and its Applications, 5/E, Pearson Hall, 2016.

General Information

Language
English
Levels
NDS
Frequency
Yearly recurring

Examination

Type
graded semester performance

Registration & Places

Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
lecture with exercise Mathematical Tools I - Advanced Linear Algebra No time listed 180 h semesterly

Offered In