Fundamental knowledge of principal concepts of mathematical analysis  and linear algebra within the scope of subjects taught in mathematical engineering is assumed.

Credit is awarded on the basis of the student's active participation in the course and his/her significant contribution to group homework projects during the semester. Then, the examination result is based on the results of a written paper including modeling-related, computational and theoretical questions. The written work is then accompanied by an oral discussion with the student.

The attendance at seminars is required as well as active participation in lectures. Passive or missing students are required to work out additional assignments.

The course focuses on introducing students to the fundamental knowledge of optimization - mathematical programming. Emphasis is placed on presenting essential information about models and methods for solving optimization problems. This includes an introduction to the analysis of decision problems, the building of basic (linear and nonlinear) mathematical models, their formal descriptions and analysis of their properties, appropriate transformations of models in terms of their solvability, and the choice and modification of algorithms. The theoretical interpretation of the above mentioned knowledge is supported by illustrative geometrical and numerical examples with the aim to lead students to a deep and applicationally useful understanding of the lectured material.

The course is designed for mathematical engineering students and is useful for students of applied science and selected engineering disciplines. Participating students will gain knowledge of the theoretical foundations of optimization (especially linear and nonlinear programming). They will also learn general principles of modeling and selected algorithms for solving optimization problems, and form a basic idea of the use  of optimization models in typical applications.

• Programme B-MAI-P Bachelor's 3 year of study, summer semester, compulsory