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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.