13M081OPNA - Selected Topics in Numerical Analysis
Course specification | ||||
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Course title | Selected Topics in Numerical Analysis | |||
Acronym | 13M081OPNA | |||
Study programme | ||||
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 | Introducing students to operator calculus and theory of approximation, ways of choosing appropriate approximations depending on nature of problem, with application in electrical engineering and computer science. | |||
The outcome | Students are able to apply algorithms of numerical analysis in vocational subjects, to choose appropriate approximations depending on nature of problem that they are solving and to handle error. | |||
Contents | ||||
Contents of lectures | Operator calculus: Differential and difference operators. Generating special numbers. Three-partite recurrence Stirling numbers and generalizations. Theory of approximation: The approximation of continuous functions by polynomials. Chebyshev polynomials and minimax approximation. The Remez algorithm and implementation. The least squares approximation. Computer packages for function approximation. | |||
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 vocational electrotechnical subjects. | |||
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, GeoGebra,…) 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 | 0 | Test paper | 50 | |
Practical lessons | 0 | Oral examination | 0 | |
Projects | ||||
Colloquia | 0 | |||
Seminars | 50 |