Course: Numerical mathematics I

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Course title Numerical mathematics I
Course code KMA/NM1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 3
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Kobera Marek, Mgr. Bc. Ph.D.
Course content
1. the introduction 2. errors of approximation 3. iterative methods 4. Newton method, regula falsi 5. systems of non-linear equations 6. roots of polynomials 7. the polynomial of interpolation 8. the iterative interpolation 9. the method of least squares 10. splines 11. numerical derivatives 12. numerical integration 13. linear programming 14. the simplex method

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
  • Preparation for exam - 14 hours per semester
  • Preparation for credit - 14 hours per semester
Learning outcomes
Numerical solving of the non-linear equation F(x)=0, regula falsi, Newton method. Linear equations, Gauss method. Approximation of the function, polynomial interpolation, the method of least squares. Numerical derivatives and integrals (trapezial and Simpson rule). MAPLE software.
Practical using of numerical approximations.
Prerequisites
Differential and integral calculus

Assessment methods and criteria
Oral examination, Written examination

The credit task, exam test
Recommended literature
  • A. Ralston:. Základy numerické matematiky, Academia Praha, 1973.
  • I. Horová:. Numerické metody, MU Brno, 1999.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Winter