|
|
Main menu for Browse IS/STAG
Course info
KMA / NM
:
Course description
Department/Unit / Abbreviation
|
KMA
/
NM
|
Academic Year
|
2023/2024
|
Academic Year
|
2023/2024
|
Title
|
Numerical Methods
|
Form of course completion
|
Exam
|
Form of course completion
|
Exam
|
Accredited / Credits
|
Yes,
5
Cred.
|
Type of completion
|
Oral
|
Type of completion
|
Oral
|
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
|
Czech, English
|
Occ/max
|
|
|
|
Automatic acceptance of credit before examination
|
No
|
Summer semester
|
94 / -
|
7 / -
|
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
|
Czech, 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 |
Yes
|
Fundamental course |
Yes
|
Fundamental theoretical course |
Yes
|
Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
|
None
|
Preclusive courses
|
KMA/NM-A
|
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:
|
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 gets the credit if:
1) either he obtains at least 50 % of total number of points;
2) or he defenses 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
|
-
Guarantors:
Doc. Ing. Marek Brandner, Ph.D. (100%),
-
Lecturer:
Oscar Iván Agudelo Rico, PhD (100%),
Doc. Ing. Marek Brandner, Ph.D. (100%),
-
Tutorial lecturer:
Oscar Iván Agudelo Rico, PhD (100%),
Doc. Ing. Marek Brandner, Ph.D. (100%),
Doc. Ing. Josef Daněk, Ph.D. (100%),
Ing. Jiří Egermaier, Ph.D. (100%),
Ing. Hana Kopincová, Ph.D. (100%),
|
Literature
|
-
Basic:
Stoer, Josef; Bulirsch, Roland. Introduction to numerical analysis. 3rd ed. New York : Springer, 2002. ISBN 0-387-95452-X.
-
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.
-
Recommended:
Zarowski, Christopher J. An introduction to numerical analysis for electrical and computer engineers. Hoboken : John Wiley & Sons, 2004. ISBN 978-0-471-65040-9.
-
Recommended:
Moler, Cleve B. Numerical computing with MATLAB. Philadelphia : Siam, 2004. ISBN 0-89871-560-1.
-
On-line library catalogues
|
Time requirements
|
All forms of study
|
Activities
|
Time requirements for activity [h]
|
Preparation for formative assessments (2-20)
|
20
|
Contact hours
|
65
|
Preparation for an examination (30-60)
|
48
|
Total
|
133
|
|
Prerequisites
|
Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
aplikovat základní poznatky z lineární algebry (maticový počet, soustavy lineárních algebraických rovnic) |
aplikovat základní poznatky z oblasti matematické analýzy (diferenciální a integrální počet) |
aplikovat základní znalosti z oblasti matematické analýzy (posloupnosti, řady) |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
řešit soustavy lineárních algebraických rovnic (pomocí přímých metod) |
řešit úlohy s posloupnostmi a řadami |
stanovit derivace a integrály elementárních funkcí |
popsat, vysvětlit a aplikovat vlastnosti elementárních funkcí jedné reálné proměnné |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
|
Learning outcomes
|
Knowledge - knowledge resulting from the course: |
formulovat úlohu, posoudit její korektnost a podmíněnost |
popsat a vysvětlit metody numerického derivování a integrování |
popsat a vysvětlit numerické metody pro aproximaci funkcí |
popsat a vysvětlit numerické metody pro řešení nelineárních rovnic a jejich soustav |
popsat a vysvětlit numerické metody pro řešení počátečních úloh pro obyčejné diferenciální rovnice |
popsat a vysvětlit přímé a iterační metody pro řešení soustav lineárních algebraických rovnic |
Skills - skills resulting from the course: |
algoritmizovat numerické metody |
analyzovat chyby a problémy konvergence numerických metod |
aplikovat numerické metody na praktické úlohy |
posoudit podmíněnost a stabilitu numerických algoritmů |
Competences - competences resulting from the course: |
N/A |
N/A |
N/A |
|
Assessment methods
|
Knowledge - knowledge achieved by taking this course are verified by the following means: |
Oral exam |
Skills - skills achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Seminar work |
Test |
Competences - competence achieved by taking this course are verified by the following means: |
Individual presentation at a seminar |
Oral exam |
Seminar work |
Test |
|
Teaching methods
|
Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
Interactive lecture |
Skills - the following training methods are used to achieve the required skills: |
Individual study |
Practicum |
Self-study of literature |
Students' portfolio |
Competences - the following training methods are used to achieve the required competences: |
Individual study |
Task-based study method |
Textual studies |
|
|
|
|