| NMAC08 | Ordinary Differential Equations, 7,5 ECTS credits. /Ordinära differentialekvationer/ |
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Area of Education: Subject area: |
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| Advancement level
(A-D): C
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| Aim: To teach students the more advanced theory of ordinary differential equations. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) NMAA12 Linear Algebra, NMAA13 Mathematical analysis I and NMAB13 Mathematical analysis II (or their equivalent). Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: Lectures and problem classes. |
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| Course contents: Picards existence theorem. Second-order linjear differential equations with variable coefficients (Boundary-value problems with the help of Green's functions). Power-series solutions. Sturm's comparison theorems. Systems of linjear differential equations, fundamental systems of solutions. Stability theory for planar autonomous systems. Liapunov's theorem. |
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| Course literature: |
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| Examination: | |||
| Written examination Hand-in exercise |
4 p 1 p |
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Course language is . Department offering the course: MAI. Director of Studies: Arne Enqvist Examiner: Course Syllabus in Swedish |
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