19M081ETO - Elements of optimization theory and symbolic computations
Course specification | ||||
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Course title | Elements of optimization theory and symbolic computations | |||
Acronym | 19M081ETO | |||
Study programme | Electrical Engineering and Computing | |||
Module | ||||
Type of study | master academic studies | |||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 6.0 | Status | elective | |
Condition | Mathematics 1 (OO1MM1), Mathematics 2 (OO1MM2) | |||
The goal | Students are able to apply algorithms of symbolic algebra based on Groebner basis of polynomial ideals and theory of pseudo-inverse matrices. | |||
The outcome | Students are able to apply algorithms of symbolic algebra based on Groebner basis of polynomial ideals and theory of pseudo-inverse matrices. | |||
Contents | ||||
Contents of lectures | General problem of symbolic-numeric computation in mathematics. Computer algebra systems and solving systems of polynomial equations.Groebner basis and Applications on the solvability of system, computer graphics and robotics. Selected methods of the optimization: Discrete least squares method. Linear programming. Theory of pseudo-inverses matrices. Moore-Penrose inverse with applications. | |||
Contents of exercises | Through examples, tasks and problems student learns how to apply theorems and basic concepts that are learnt through theoretical contents. Especially students are prepared how to solve problems that are occurring in computer science and technique. | |||
Literature | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
3 | 1 | |||
Methods of teaching | Combination of traditional presentation on blackboard, slides, free mathematical software (SAGE, SymPy) communication with students through internet and individual work with students while working on home work tasks, and explanation of current topics. | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | Test paper | |||
Practical lessons | Oral examination | 50 | ||
Projects | ||||
Colloquia | ||||
Seminars | 50 |