| Course title | Applied Mathematics |
|---|---|
| Course code | KMF/INAM |
| Organizational form of instruction | Lecture + Tutorial |
| Level of course | Master |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 5 |
| Language of instruction | Czech |
| Status of course | Compulsory, Optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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Errors and defects in numerical computation. Approximations and Least Square Methods. Interpolation (Lagrange, Newton and Hermit). Polynomial spline. Numerical derivation and integration. Numerical methods for solving of linear equations systems (direct and iteration methods). Numerical methods for solving of nonlinear equations (roots separation, Newton method and its modifications). Numerical solving of ordinary differential equations (Euler and Runge-Kutta methods).
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| Learning activities and teaching methods |
| Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Projection, Skills training |
| Learning outcomes |
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The aim of the course is introduction to analytics, approximations and numerical methods in the sphere of mathematical programming. Methods used in technical computing will be described. Matlab software is used for practical examples.
Expansion of analytical and logical cogitation. Higher level of mathematical knowledge. Summary of numerical methods and their functions in computation problems. Active solving of practical computation problems. |
| Prerequisites |
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Knowledge of mathematics in the range of university basic courses. Basic knowledge of programming.
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| Assessment methods and criteria |
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Oral examination, Written examination, Home assignment evaluation, Creative work analysis, Didactic test, Discussion
The assignment is granted upon completion of following conditions: active participation on seminars (labs); completion of all given tasks; passing all written tests. The examination comprises of three parts practical exercises, writing tests and a theoretical (speaking) test; at least 51% success rate in each part is required. |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Communication and Controlling Technology (2015) | Category: Electrical engineering, telecommunication and IT | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Process Control (2016) | Category: Special and interdisciplinary fields | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Communication and Controlling Technology (2014) | Category: Electrical engineering, telecommunication and IT | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Process Control (2014) | Category: Special and interdisciplinary fields | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Information Technology (2016) | Category: Informatics courses | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Information Technology (2014) | Category: Informatics courses | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Communication and Controlling Technology (2016) | Category: Electrical engineering, telecommunication and IT | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Information Technology (2015) | Category: Informatics courses | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Process Control (2013) | Category: Special and interdisciplinary fields | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Information Technology (2014) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Summer |
| Faculty: Faculty of Electrical Engineering and Informatics | Study plan (Version): Process Control (2015) | Category: Special and interdisciplinary fields | - | Recommended year of study:-, Recommended semester: Summer |