MIN202 Numerical calculations

Faculty of Science
Spring 2022
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: k (colloquium).
Taught in person.
Teacher(s)
Mgr. Jiří Zelinka, Dr. (lecturer)
Guaranteed by
doc. Mgr. Jan Koláček, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Mgr. Jiří Zelinka, Dr.
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Fri 8:00–9:50 MP1,01014
  • Timetable of Seminar Groups:
MIN202/01: Fri 10:00–10:50 MP1,01014, J. Zelinka
Prerequisites
Students should have a basic course of differential and integral calculus, linear algebra and basic knowledge of programming.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
This is a companion course to the mathematics for the major and minor study plan. The aim of the course is practical mastery of gained theoretical knowledge using available software.
Learning outcomes
Student will be able to:
- perform differential and integral calculus using computers
- construct approximations using splines, interpolation polynomials, Bezier curves, and so on.
- use some numerical methods, such as for solving nonlinear equation.
Syllabus
  • Calculations with polynomials and splines: interpolation, roots of polynomials, Berstein polynomials, cubic splines,
  • Symbolic and numerical differentiation
  • Symbolic and numerical integration
  • Series, Taylor expansion, Fourier series
  • Numerical solution of nonlinear equations and systems of linear equations.
Literature
  • HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2. rozšířené. Brno: Masarykova univerzita v Brně, 2008, 299 pp. 4658/Př-1/08-17/31. ISBN 978-80-210-3317-7. info
  • KLIMA, Richard E., Neil SIGMON and Ernest L. STITZINGER. Applications of abstract algebra with Maple and Matlab. 2nd. ed. Boca Raton, Fla.: Chapman & Hall/CRC, 2007, 505 s. ISBN 9781584886105. info
  • MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
  • PÄRT-ENANDER, Eva. The Matlab handbook. Harlow: Addison-Wesley, 1997, xv, 423 s. ISBN 0-201-87757-0. info
  • GANDER, Walter and Jiří HŘEBÍČEK. Solving Problems in Scientific Computing Using Maple and MATLAB. 2nd ed. Berlin: Springer-Verlag, 1995, 315 s. ISBN 3540587462. info
Teaching methods
Demonstration of selected methods and computer practice.
Assessment methods
Credit will be awarded on the basis of preparation of the target project or homeworks.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Information on course enrolment limitations: Studenti by měli mít za sebou základní kurs mat. analýzy, lin. algebry a základní znalosti programování.
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2022, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2022/MIN202