The talk is intended for teachers and students. The audience must be prepared to see, or rediscover purportedly known facts in a refreshing new light. Prof. Strang demonstrates how a careful choice of simple, introductory examples can help to teach the major precepts of linear algebra, such as linear independence, without any of the notorious obscurity that impairs our view of the beauty of linear algebra. The talk is in English.

MP3 is a technology that it would be hard to imagine every day life without. Despite this, many people are unaware of how MP3 works. This talk reveals the mathematical principles of MP3, which are surprisingly simply, thus supporting fundamental understanding of this and similar technologies. The talk is in German.

Very few first year students have previous experience of the concepts of linear algebra. This deficit is removed in exercises that accompany the "Linear Algebra" lecture series. Students can learn how to use the computer algebra system Mathematica to model and solve tangible problems in the language of vectors and matrices. The talk shows typical examples from the various phases of the series of exercises. The talk is in German.

Traditionally at german universities Linear Algebra is one of the main courses for students in the first year. After a historical survey on classical books on Linear Algebra I will describe the program in Linear Algebra including courses on programming and numerics of the Bachelor in Mathematics at the LMU. In Linear Algebra the students will learn the axiomatic method and the abstract concepts of mathematics, the basic methods of proof and the fundamental techniques of Linear Algebra with applications in algebra, number theory, analysis, geometry, numerics and physics. The talk is in English.

This talk introduces listeners to the more arcane concepts of linear algebra such as singular value decomposition. Singular value decomposition of matrices plays a central role in many fields of application today. Professor Strang shows how easy it is to understand the concept if the mathematical foundations have been laid down correctly. The foundations here are the ?four fundamental subspaces?, a didactic concept propagated by Professor Strang, on which the "MIT OpenCourseWare" online courses and his textbooks are built. The talk is in English.