Course unit code:
Course unit title:
Selected Topics in Mathematics
Mode of completion and Number of ECTS credits:
Exm (2 credits)
Course contents:
Basic terms and some properties of linear differential equations. Homogenous and non-homogenous linear differential equations. Systems of linear differential equations. Transformations of continuous systems to discrete systems. Norm, norm spaces and sub-spaces, complete spaces, basic examples and properties. Norms in Euclid space and space of functions.. Functional in linear norm spaces, functional examples and properties. Examples of more complicated functional. Case of more variables. Higher functional derivations. Necessary and sufficient conditions for fixed extreme. Lagrange function method. Isoperimetric problem. Lagrange task. Non-linear programming problem and Kuhn-Tucker conditions of optimality. Optimal control problem. Basic terms. Problem with fixed ending points. Problem with free ending points in plane and 3-dimensional space.
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