Mathematical tools for the engineer

Calculus of one variable: Real and complex numbers, vectors, functions, limits, sequences, series, power series, differentiation and integration in one variable, introduction to ordinary differential equations

Mathematical tools for the engineer

Mathematical tools of an engineer

Mathematical tools of an engineer

Calculus in several variables; differential equations

Foundations of complex calculus in theory & applications and introduction to integral transforms covering some applications.

Contents: Linear systems - the Gaussian algorithm, matrices - LU decomposition, determinants, vector spaces, least squares - QR decomposition, linear maps, eigenvalue problem, normal forms - singular value decomposition; numerical aspects.

In this course we will give a brief review of more dimensional calculus. The main focus of the course is vector analysis (integral theorems) and PDEs.

In the mentored work on their subject specialisation, students link high-school and university aspects of the subject, thus strengthening their teaching competence with regard to curriculum decisions and the future development of the tuition. They compile texts under supervision that are directly comprehensible to the targeted readers - generally specialist-subject teachers at high-school level.

In der mentorierten Arbeit in FV verknüpfen die Studierenden gymnasiale und universitäre Aspekte des Fachs mit dem Ziel, ihre Lehrkompetenz im Hinblick auf curriculare Entscheidungen und auf die zukünftige Entwicklung des Unterrichts zu stärken. Angeleitet erstellen sie Texte, welche die anvisierte Leserschaft, in der Regel gymnasiale Fachlehrpersonen, unmittelbar verstehen.

In their mentored work on subject didactics, students put into practice the contents of the subject-didactics lectures and go into these in greater depth. Under supervision, they compile tuition materials that are conducive to learning and/or analyse and reflect on certain topics from a subject-based and pedagogical angle.

In their mentored work on subject didactics, students put into practice the contents of the subject-didactics lectures and go into these in greater depth. Under supervision, they compile tuition materials that are conducive to learning and/or analyse and reflect on certain topics from a subject-based and pedagogical angle.