Ordinary Differential Equations II

5 credits

Syllabus, Master's level, 1MA052

Code
1MA052
Education cycle
Second cycle
Main field(s) of study and in-depth level
Mathematics A1N
Grading system
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 30 August 2018
Responsible department
Department of Mathematics

Entry requirements

120 credits including Ordinary Differential Equations I, Complex Analysis, general course, or corresponding courses. Proficiency in English equivalent to the Swedish upper secondary course English 6.

Learning outcomes

Content

Existence and uniqueness proofs for solutions of ordinary differential equations, first order differential equations, systems of differential equations, non-linear system, dependence on parameters and initial data, numerical solution methods, power series solutions, differential inequalities, boundary value problems, Sturm-Liouville theory, non-linear system, stability, phase portrait.

Instruction

Lectures and problem solving sessions.

Assessment

Written examination at the end of the course combined with assignments given during the course.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

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