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Main menu for Browse IS/STAG
Course info
KID / PAMAP
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Course description
Department/Unit / Abbreviation
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KID
/
PAMAP
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Applied Mathematics
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Form of course completion
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Examination
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Form of course completion
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Examination
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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-
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Type of completion
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-
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Time requirements
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Lecture
2
[HRS/WEEK]
Tutorial
2
[HRS/WEEK]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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not determined
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
A|B|C|D|E|F |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
A|B|C|D|E|F |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The student will be introduced to the mathematical basis theory of technical operations and their implementation in specialized software.
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Requirements on student
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Giving a credit confirms that a student has attended the lessons to the extent required and fulfilled all the qualified requirements. Conditions for obtaining a credit will be provided by the lecturer.
Format, content and length of the exam are determined in accordance with the Study and Examination Rules of the University of Pardubice.
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Content
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Principle of iteration methods, recurrent errors and their classification, estimation arithmetic operation errors. Conditional and numerical solution stability, number condition, ill conditioning. Approximation of functions using least squares methods, (principle, classes of the function, orthogonality and independence of systems) Construction of orthogonal system of polynomials and calculation of the approximation polynomial. Trigonometric Polynomial Approximation. Interpolating polynomial - generally true problem, error estimation of interpolation, Lagrange and Newton interpolating polynomial; equidistant knots sequence. Hermit interpolating polynomial. Methods for solving equations (the Banach fixed point theorem and its proof). Error estimate of kth iteration; determination of the contracted function from derivation. Newton method, secant method and regula falsi. Numerical solution of linear equations systems (LU decomposition). Gaussian elimination algorithm, Gauss-Jordan method, method of iteration for systems of linear equations (Jacobi, Gauss-Seidl). Convergence of stationary iteration methods Relaxation method. Numerical integration, Numerical derivation, error estimate; methods for solving differential equations. Euler's method and different modification for solutions to a ordinary differential equations. Runge-Kutta method.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Basic:
Kulička, Jiří. Elementární algoritmy aplikované matematiky : studijní opora. Pardubice: Univerzita Pardubice, 2014. ISBN 978-80-7395-846-6.
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Basic:
Atkinson, Kendall E.. Elementary numerical analysis. Hoboken: John Wiley & Sons, 2004. ISBN 0-471-43337-3.
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Basic:
Prouza, L. st. - Prouza, L. ml. Matematické základy finančních operací. Univerzita Pardubice, 2000.
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Basic:
Chapra, S.C., Canale, R.P. Numerical methods for engineers. 2006. ISBN 007-124429-8.
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Further literature:
Vitásek, E. Numerické metody. Praha, SNTL, 1987.
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Further literature:
Rektorys, K. a kol. Přehled užité matematiky. Praha: Prometheus, 2000.
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Prerequisites - other information about course preconditions |
Předpokládají se znalosti studia matematiky na úrovni bakalář. |
Competences acquired |
The graduate can pass judgment on basic numerical method and suggest their application.
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Teaching methods |
- Monologic (reading, lecture, briefing)
- Skills training
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Assessment methods |
- Oral examination
- Written examination
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