19D081SIMB - Selected Topics in Symbolic Algebra
Course specification | ||||
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Course title | Selected Topics in Symbolic Algebra | |||
Acronym | 19D081SIMB | |||
Study programme | Electrical Engineering and Computing | |||
Module | Applied Mathematics | |||
Type of study | doctoral studies | |||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 9.0 | Status | elective | |
Condition | Mathematics 1 (OO1MM1), Mathematics 2 (OO1MM2) | |||
The goal | Introducing students with basic and advanced concepts of symbolic algebra with application in electrical engineering and computer science. | |||
The outcome | Students are able to apply algorithms of symbolic algebra based on Groebner bases of polynomial and differential-polynomial ideals. | |||
Contents | ||||
Contents of lectures | The theory of differential fields and differential Grebner basis. Solvability systems of algebraic-differential equations. Software realizations of differential Groebner’s bases in modern CAS packages. | |||
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 |
8 | ||||
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 | 50 | Test paper | 50 | |
Practical lessons | 0 | Oral examination | 0 | |
Projects | ||||
Colloquia | 0 | |||
Seminars | 0 |