| NMAC08 | Ordinary Differential Equations, 7,5 ECTS credits. /Ordinära differentialekvationer/ |
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Prel. scheduled
hours: 74 |
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Area of Education: Science Subject area: Mathematics |
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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 and to give an introduction to modern computer based facilities (Maple). |
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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, problem classes and computer exercises. |
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| Course contents: Exact equations, integrating factor. Solving differential equations in Maple. Picards existence theorem. Linear differential equations with variable coefficients. Systems of linear differential equations, fundamental systems of solutions. Laplace transform. Resolvent matrix and exponential matrix. Linearization. Stability theory for planar autonomous systems. Liapunov's theorem. |
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| Course literature: Boyce, DiPrima: elementary Differential Equations and Boundary Value Problems. |
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| Examination: | |||
| Written examination |
5 p |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Arne Enqvist Examiner: Kurt Hansson Link to the course homepage at the department Course Syllabus in Swedish |
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