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Course syllabus I-NM - Numerical Methods (FEEIT - WS 2015/2016)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Electrical Engineering and Information Technology
Course unit code: I-NM
Course unit title: Numerical Methods
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
seminar2 hours weekly (on-site method)

 
Credits allocated: 5
 
Recommended semester/trimester: Applied Electrical Engineering - master (compulsory), 1. semester
Measurement and Information Technology - master (compulsory), 1. semester
Level of study: 2.
Prerequisites for registration: none
 
Assesment methods:
During the semester there will be one written test for 10 points. For the solution of the computational tasks the student is given maximum of 50 points. Students must complete all the exercises. Minimum number of points to obtain credit is 20. For the exam, every student can earn maximum of 40 points. The maximum score for the entire course is 100 points. Final evaluation of the student's mark is given in the current study rules.
 
Learning outcomes of the course unit:
Completing the course the student will understand the principles of numerical mathematics, will be familiar with basic methods of numerical mathematics, possibilities and limits their use in solving various problems. He gains knowledge allowing to compare the application limit of mathematical analysis and numerical mathematics. He will learn to evaluate the advantages and disadvantages of each method. He will acquire the necessary knowledge and programming skills to use open source software and commercial software.
 
Course contents:
Introduction to problems of numerical mathematics. Basic concepts of numerical mathematics. Discretization. Discrete models. Numerical errors. Approach comparison in problem solving by analytical methods and by numerical methods .
1D , 2D and 3D tasks. Numerical solution of equations with one unknown variable. Iterative methods. Numerical derivative of functions of one variable. Numerical integration of functions of one variable. Interpolation and approximation of functions of one variable. Least squares method. Solving of linear equations systems. Numerical solution of ordinary differential equations and their systems. Fundamentals of processing of measured values files.
Commercial software MATLAB, Mathematica, MathCad. Open source equivalents Octave, MAXIMA - basic features.
The understanding of learned numerical algorithms students will verify by solution of tasks on their computers so that they can write several algorithms or use commercially made numerical software.
 
Recommended or required reading:
Basic:
VOLAUF, P. Numerické a štatistické výpočty v Matlabe. Bratislava : STU v Bratislave, 2005. 180 p. ISBN 80-227-2259-6.
BEREŽNÝ, Š. Numerická matematika. Košice: TU v Košiciach, 2012. 120 p. ISBN 978-80-553-1067-1.
BUŠA, J. -- PIRČ, V. -- SCHROTTER, Š. Numerické metódy, pravdepodobnosť a matematická štatistika. Košice: TU v Košiciach, 2006. 166 p. ISBN 80-8073-632-4.

 
Language of instruction: slovak or english
 
Notes:
For organizational reasons the exercise capacity is limited to a maximum of 24 students per group.
 
Courses evaluation:
Assessed students in total: 6

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Name of lecturer(s): doc. Ing. Jozefa Červeňová, PhD. (instructor) - slovak, english
prof.h.c. prof. Ing. Robert Redhammer, PhD. (examiner, lecturer, person responsible for course) - slovak, english
doc. Ing. Ľubomír Šumichrast, CSc. (examiner, instructor, lecturer) - slovak, english
 
Last modification: 23. 5. 2015
Supervisor: prof.h.c. prof. Ing. Robert Redhammer, PhD. and programme supervisor


Last modification made by RNDr. Marian Puškár on 05/23/2015.

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