Course: Mathematics 4

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Course title Mathematics 4
Course code KMA/M4E
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study not specified
Semester Winter and summer
Number of ECTS credits 4
Language of instruction Czech, English
Status of course Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Brandner Marek, Doc. Ing. Ph.D.
Course content
1. Problems of numerical mathematics, ill-conditioned and well-conditioned problems, stability of algorithms, computational software. 2. Direct methods for solving linear algebraic equations. 3. Iterative methods for solving linear algebraic equations. 4. Methods for solving eigenvalue problems. 5. Approximation of functions. 6. L2 approximation, discrete Fourier transform. 7. Numerical methods for ordinary differential equations - initial value problems. 8. Numerical methods for differential equations - boundary value problems.

Learning activities and teaching methods
Lecture, Practicum
  • Preparation for comprehensive test (10-40) - 20 hours per semester
  • Undergraduate study programme term essay (20-40) - 40 hours per semester
  • Contact hours - 52 hours per semester
prerequisite
Knowledge
The students must have basic knowledge of mathematical analysis and linear algebra (KMA/M1E and KMA/M2E).
learning outcomes
Upon completion of the course a student have a possibility to be able: - formulate problems of numerical mathematics and analyze their solvability; - use these methods to solve real world problems (especially in electrotechnical engineering).
teaching methods
Lecture
Practicum
assessment methods
Test
Project
Recommended literature
  • Míka, Stanislav; Brandner, Marek. Numerické metody I. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-619-3.
  • Míka, Stanislav; Přikryl, Petr. Numerické metody řešení obyčejných diferenciálních rovnic : okrajové úlohy. 1. vyd. Plzeň : ZČU, 1994. ISBN 80-7082-159-0.
  • Míka, Stanislav; Přikryl, Petr. Numerické metody řešení parciálních diferenciálních rovnic. 1. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-204-X.
  • Přikryl, Petr; Brandner, Marek. Numerické metody II. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-699-1.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Electrical Engineering Study plan (Version): Commercial Electrical Engineering (16) Category: Electrical engineering, telecommunication and IT - Recommended year of study:-, Recommended semester: -