Inhalt
[ 201ANLSGD1U18 ] UE Ordinary differential equations and dynamical systems
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| (*) Unfortunately this information is not available in english. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 1,5 ECTS |
B2 - Bachelor's programme 2. year |
Mathematics |
Josef Schicho |
1 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2025W |
| Learning Outcomes |
Competences |
| Treatment of ordinary differential equations and recursions, their symbolic solutions and their qualitative properties
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| Skills |
Knowledge |
- to classify differential equations with respect to order, autonomy, linearity
- to reduce to first order autonomous systems
- to solve differential equations and recursions symbolically
- to decide continuity of solutions
- to describe equilibria and cycles qualitatively
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Stability and asymptotic stability, bifurcations, separation of variables, variation of constants, unsolvability results, Theorem of Picard/Lindeloef,
matrix exponential, Theorem of Poincare/Bendixsohn
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| Criteria for evaluation |
Homework examples + written exam
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| Methods |
Solving homework exercises, presentation of solutions
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| Language |
German |
| Study material |
As a subsitute for the german lecture notes, it is possible to do the exam after studying the monography “Dynamics and Bifucations” by Hale/Kocak (Springer 1991).
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| Changing subject? |
No |
| Further information |
Participation in the lecture is recommended
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| Corresponding lecture |
(*)ist gemeinsam mit 201ANLSGD1V18: VL Gewöhnliche Differentialgleichungen und Dynamische Systeme (4,5 ECTS) + 201ANASSP1V12: VL Spezialvorlesung Analysis (1,5 ECTS) äquivalent zu
TM1PAKVGDG1: KV Gewöhnliche Differentialgleichungen und Dynamische Systeme (7,5 ECTS)
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| On-site course |
| Maximum number of participants |
25 |
| Assignment procedure |
Direct assignment |
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