|
Lecturer(s)
|
-
Rak Josef, RNDr. Ph.D.
-
Heckenbergerová Jana, Mgr. Ph.D.
|
|
Course content
|
Errors and defects in numerical computation. Approximations and Least Square Methods. Interpolation (Lagrange, Newton and Hermit). Polynomial spline. Numerical derivation and integration. Numerical methods for solving of linear equations systems (direct and iteration methods). Numerical methods for solving of nonlinear equations (roots separation, Newton method and its modifications). Numerical solving of ordinary differential equations (Euler and Runge-Kutta methods).
|
|
Learning activities and teaching methods
|
|
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Projection, Skills training
|
|
Learning outcomes
|
The aim of the course is introduction to analytics, approximations and numerical methods in the sphere of mathematical programming. Methods used in technical computing will be described. Matlab software is used for practical examples.
Expansion of analytical and logical cogitation. Higher level of mathematical knowledge. Summary of numerical methods and their functions in computation problems. Active solving of practical computation problems.
|
|
Prerequisites
|
Knowledge of mathematics in the range of university basic courses. Basic knowledge of programming.
|
|
Assessment methods and criteria
|
Oral examination, Written examination, Home assignment evaluation, Creative work analysis, Didactic test, Discussion
The assignment is granted upon completion of following conditions: active participation on seminars (labs); completion of all given tasks; passing all written tests. The examination comprises of three parts practical exercises, writing tests and a theoretical (speaking) test; at least 51% success rate in each part is required.
|
|
Recommended literature
|
-
Faddějev, Faddějevová. Numerické metody lineární algebry,Praha, SNTL 1964. Praha: SNTL, 1964.
-
Kaucký. Elementární metody řešení obyčejných diferenciálních rovnic, Praha, NČSAV 1953. Praha: NČSAV, 1953.
-
Míka. Numerické metody algebry, Praha, SNTL 1985. Praha: SNTL, 1985.
-
Přikryl, P. Numerické metody matematické analýzy. 4. Ralston, 1985.
-
Ralston, A. Základy numerické matematiky. Praha: Academia, 1973.
-
Vitásek, E. Numerické metody. Praha, SNTL, 1987.
-
Vitásek. Základy teorie numerických metod na řešení ODR, Praha, Academia 1994. Praha: Academia 1994, 1994.
|