Module in detail

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Detailed information about the module

Module title:

Differential Equations II

Module title (english):

Differential Equations II

Module number:

82-105-MAT14-H-0512

Level:

Bachelor (UNI)

Course of study:

BA Mathematik

Type:

Modul

Organising faculty/Language Center:

Mathematisch-Geographische Fakultät

Instructors responsible:

Kreisbeck, Carolin

Examiners:

Engl, Dominik

Credit points (ECTS):

competencies/skills:

understanding the concepts and principles of the qualitative theory of ordinary differential equations, with a particular focus on autonomous systems, including classical theorems and proof techniques; ability to independently solve theoretical, computational, and applied problems concerning the behavior of trajectories of autonomous systems

course content/topics:

continuation of the introduction to the theory of ordinary differential equations, with a selection of topics, including: properties of flows, phase portraits, first integrals and conservative systems, Hamiltonian systems, linear autonomous systems, theorems on continuity and differentiability, stability theory, linearized stability, and Lyapunov functions

formal requirements of admission:

none

recommended qualifications:

Analysis I, II, Linear Algebra I, II, Differential Equations I

Lehr- und Lernformen/Lehrveranstaltungstypen:

lecture (VL) (2 SWS), exercise session (UE) (1 SWS)

requirements for the attainment of ECTS points:

performance record assessed with at least "sufficient": written exam (60 to 90 minutes) or oral examination (20 to 30 minutes); option of grade improvement through exercises during the semester

workload/distribution of ECTS points within the module:

attendance in lectures and exercise sessions or equivalent independent study: 1.5 ECTS credits (45 hours)

preparation, follow-up, and exercises: 2.5 ECTS credits (75 hours)

preparation for assessment: 1.0 ECTS credit (30 hours)

calculation of module marks:

assessment

teaching/learning method:

compatibility with other courses of study:

polyvalence with

Mathematics Teacher Training Program (Lehramt Mathematik)

Interdisciplinary Master's Program in Mathematics

Turnus des Angebots:

Beteiligte Fachgebiete:

Bemerkung: