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, Compulsoryoptional, Optional 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


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 GaussSeidel 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)

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 

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 