Course: Numerical Methods 2

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Course title Numerical Methods 2
Course code KMA/NM2
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 4
Language of instruction Czech, English
Status of course Compulsory, Compulsory-optional, Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Burkotová Jana, Mgr. Ph.D.
  • Machalová Jitka, RNDr. Ph.D.
Course content
1. Norms. 2. Systems of linear equations - basic properties, direct elimination methods. 3. Gaussian elimination. 4. Triangular factorization of matrices. 5. Iterative methods. 6. Jacobi and Gauss-Seidel iterations. 7. Relaxation methods. 8. Methods for solving nonlinear equations. 9. Iterative methods for solving nonlinear equations and their convergence. 10. Acceleration methods. 11. Iterative methods for systems of nonlinear eqautions. 12. Roots of polynomials and their computing.

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 52 hours per semester
  • Preparation for the Course Credit - 20 hours per semester
  • Preparation for the Exam - 50 hours per semester
Learning outcomes
Understand basic principles of numerical methods of algebra.
Comprehension Understand the numerical methods of algebra.
Prerequisites
Basic knowledge of mathematical analysis and linear algebra.
KMA/NM1
----- or -----
KMA/NM1M

Assessment methods and criteria
Oral exam, Written exam, Seminar Work

written test
Recommended literature
  • E. Vitásek. (1987). Numerické metody. SNTL Praha.
  • I. Horová. (1999). Numerické metody. skripta MU Brno.
  • J. Kobza. (1993). Numerické metody. Skripta UP Olomouc.
  • S. Míka. (1995). Numerické metody. Skripta ZČU Plzeň.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Mathematics and Applications (1) Mathematics courses 2 Summer
Faculty of Science General Physics and Mathematical Physics (2014) Physics courses 1 Summer
Faculty of Science Applications of Mathematics in Economy (2015) Mathematics courses 1 Summer