| Course title | Basic Numerical Methods |
|---|---|
| Course code | KMA/ZNUM |
| Organizational form of instruction | Lecture + Exercise |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory, 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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1. Introduction, error analysis. 2. Polynomial interpolation. Least squares approximation over discrete sets of points. 3. Numerical differentiation - formulae and error estimation. Numerical integration - basic rules and notions, Newton Cotes quadrature formulae and their using. 4. Methods for solving nonlinear equations. Iterative methods and their convergence. Iterative methods for solving systems of nonlinear equations. Roots of polynomials and their computations. 5. Systems of linear equations - direct methods. Basic iterative methods. Methods for determining eigenvalues and eigenvectors. Triangular factorization of matrices. Singular value decomposition.
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| Learning activities and teaching methods |
| Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration |
| Learning outcomes |
|
The course introduces basic numerical methods of analysis and algebra.
Comprehension Understand the numerical methods of mathematical analysis and linear algebra. |
| Prerequisites |
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Basic knowledge of mathematical analysis and linear algebra.
KMA/MA1 and KAG/LA1A |
| Assessment methods and criteria |
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Oral exam, Seminar Work
Credit: active participation, the student has to pass written tests, seminary work Exam: the student has to understand the subject and be able to prove the principal results |
| 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 Science | Study plan (Version): Mathematics (2020) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Business Mathematics (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Biophysics - Specialization in Molecular Biophysics (2026) | Category: Physics courses | 3 | Recommended year of study:3, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Mathematics for Sustainable Innovation (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Data Science (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Industrial Mathematics (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |