|
|
Main menu for Browse IS/STAG
Course info
KMA / NM-A
:
Course description
Department/Unit / Abbreviation
|
KMA
/
NM-A
|
Academic Year
|
2023/2024
|
Academic Year
|
2023/2024
|
Title
|
Numerical Methods
|
Form of course completion
|
Exam
|
Form of course completion
|
Exam
|
Accredited / Credits
|
Yes,
6
Cred.
|
Type of completion
|
Written
|
Type of completion
|
Written
|
Time requirements
|
Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
|
Course credit prior to examination
|
Yes
|
Course credit prior to examination
|
Yes
|
Automatic acceptance of credit before examination
|
No
|
Included in study average
|
YES
|
Language of instruction
|
English
|
Occ/max
|
|
|
|
Automatic acceptance of credit before examination
|
No
|
Summer semester
|
0 / -
|
0 / -
|
0 / -
|
Included in study average
|
YES
|
Winter semester
|
0 / -
|
0 / -
|
0 / -
|
Repeated registration
|
NO
|
Repeated registration
|
NO
|
Timetable
|
Yes
|
Semester taught
|
Summer semester
|
Semester taught
|
Summer semester
|
Minimum (B + C) students
|
1
|
Optional course |
Yes
|
Optional course
|
Yes
|
Language of instruction
|
English
|
Internship duration
|
0
|
No. of hours of on-premise lessons |
|
Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
|
Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
|
Fundamental theoretical course |
No
|
Fundamental course |
No
|
Fundamental theoretical course |
No
|
Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
|
None
|
Preclusive courses
|
KMA/NM
|
Prerequisite courses
|
N/A
|
Informally recommended courses
|
N/A
|
Courses depending on this Course
|
N/A
|
Histogram of students' grades over the years:
Graphic PNG
,
XLS
|
Course objectives:
|
Lectures in English only.
The aim of this course is to introduce students to basic ideas and methods of numerical mathematics.
|
Requirements on student
|
Students have to choose either to write two assignments or prepare semester student project. A student get the credit if :
1) either he obtain at least 30 of total 60 points from the assignments
2) or he defense his student project.
Students who did not pass either 1) or 2) are allowed to write repair assingment.
The final examination is in the oral form.
|
Content
|
1. Problems of numerical mathematics, ill-conditioned and well-conditioned problems, stability of algorithms, computational software.
2. Methods for root finding and methods for solution of nonlinear sets of equations.
3. Direct methods for solving linear algebraic equations.
4. Iterative methods for solving linear algebraic equations.
5. Gradient methods for solving linear algebraic equations.
6. Methods for solving eigenvalue problems.
7. Approximation of functions.
8. L2 approximation, discrete Fourier transform.
9. Numerical differentiation
10. Numerical integration.
11. Numerical methods for ordinary differential equations - one-step methods.
12. Numerical methods for ordinary differential equations - multi-step methods.
|
Activities
|
|
Fields of study
|
|
Guarantors and lecturers
|
|
Literature
|
-
Basic:
Míka, Stanislav; Brandner, Marek. Numerické metody I. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-619-3.
-
Basic:
Přikryl, Petr; Brandner, Marek. Numerické metody II. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-699-1.
-
Extending:
Chapra, Steven C.; Canale, Raymond P. Numerical methods for engineers. 2nd ed. New York : McGraw-Hill Book Company, 1990. ISBN 0-07-100412-2.
-
Extending:
Samarskij, Aleksandr Andrejevič; Nikolajev, Jevgenij Sergejevič. Numerické řešení velkých řídkých soustav : celost. vysokošk. příručka pro stud. matematicko-fyz. a přírodověd. fakult. 1. vyd. Praha : Academia, 1985.
-
Recommended:
Elektronické zdroje knihovny ZČU
-
Recommended:
Benda, Josef; Černá, Růžena. Numerická matematika : doplňkové skriptum. Vyd. 2. Praha : Vydavatelství ČVUT, 2000. ISBN 80-01-02156-4.
-
Recommended:
Vitásek, Emil. Numerické metody. 1. vyd. Praha : SNTL, 1987.
-
Recommended:
Templates for the Solution of Linear Systems
(Barrett R.)
-
Recommended:
Muzikářová, Hana; Voříšek, Jan. Úvod do numerické matematiky. Vyd. 1. Praha : Vysoká škola ekonomická, 1995. ISBN 80-7079-449-6.
-
Recommended:
Ralston, Anthony. Základy numerické matematiky. 2. vyd. Praha : Academia, 1978.
-
On-line library catalogues
|
Time requirements
|
All forms of study
|
Activities
|
Time requirements for activity [h]
|
Contact hours
|
65
|
Preparation for formative assessments (2-20)
|
20
|
Preparation for an examination (30-60)
|
60
|
Presentation preparation (report in a foreign language) (10-15)
|
15
|
Total
|
160
|
|
Prerequisites
|
Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
The students must have basic knowledge of mathematical analysis (KMA/MA1 or KMA/M1 or KMA/ME1 or KMA/MS1) and linear algebra (KMA/LA1). |
|
Learning outcomes
|
Knowledge - knowledge resulting from the course: |
Upon completion of the course a student have a possibility to be able:
- formulate problems of numerical matematics and analyze their solvability;
- use these methods to solve real world problems;
- analyze numerical errors and convergence of relevant methods;
- analyze conditioness and stability of algorithms. |
|
Assessment methods
|
Knowledge - knowledge achieved by taking this course are verified by the following means: |
Oral exam |
Written exam |
Seminar work |
Individual presentation at a seminar |
|
Teaching methods
|
Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
Interactive lecture |
Students' portfolio |
Discussion |
|
|
|
|