| NMAC26 | Ordinary Differential Equations, 6 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
(G1, G2, A): G2
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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). After a completed course, the student will be able to:
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Linear Algebra, Calculus one variable, Calculus several variables (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. The course runs over the entire autumn semester. |
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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: Edwards & Penney, Differential equations. Computing and Modelling (3 ed.ell or later) Kurt Hansson, Lectures om ordinary differential equations (pdf-document, in swedish) |
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| Examination: | |||
| Computer examination |
6 ECTS |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Göran Forsling Examiner: Kurt Hansson Link to the course homepage at the department Course Syllabus in Swedish |
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