Course objectives:
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The goal of this course is to give a grouding in the theory of variational inequalities and applications to unilateral boundary value problems for differential equations.
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Requirements on student
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The ability to apply theoretical results in solving problems on the topics in the syllabus.
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Content
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The weak formulation of unilateral boundary value problems in terms of variational inequalities, variational method, penalty method, method of successive approximations, problems with a free boundary and their variational formulations.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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52
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Preparation for an examination (30-60)
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52
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Individual project (40)
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26
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Total
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130
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
Students should be familiar with the theory of ordinary differential equations (to the extent of the course KMA/ ODR) and elements of partial differential equations. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Students after finishing this course will have a survey about basic approaches to solution of variational inequalities and their relation to boundary value problems for differential equations. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
Interactive lecture |
Self-study of literature |
Individual study |
One-to-One tutorial |
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