Course Unit Code | 310-2422/01 |
---|
Number of ECTS Credits Allocated | 4 ECTS credits |
---|
Type of Course Unit * | Compulsory |
---|
Level of Course Unit * | First Cycle |
---|
Year of Study * | Second Year |
---|
Semester when the Course Unit is delivered | Summer Semester |
---|
Mode of Delivery | Face-to-face |
---|
Language of Instruction | Czech |
---|
Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
---|
Name of Lecturer(s) | Personal ID | Name |
---|
| KRC76 | Mgr. Jiří Krček |
| SWA0013 | RNDr. Martin Swaczyna, Ph.D. |
Summary |
---|
This subject presents the part of basic mathematical course in the bachelor degree. |
Learning Outcomes of the Course Unit |
---|
This subject offers basic knowledges of vector analysis related to mathematical physics.
The main goals are oriented to
- fundamental knowledges of mathematical analysis of vectorial functions,
- an use of differential operators in application problems,
- the appropriating of computational methods for curvilinear and surface integrals,
- an overview of main field theory aspects with relation to the solving of PDE. |
Course Contents |
---|
1. Scalar and vector fields.
2. Differential operators.
3. Local characteristics of vector fields.
4. Curvilinear integrals.
5. Surface integrals.
6. Global characteristics of vector fields.
7. Introduction to the potential theory.
8. Integral representation of solution of several second-order PDE.
|
Recommended or Required Reading |
---|
Required Reading: |
---|
MEJLBRO, L. Calculus 2b – Real Functions in Several Variables. http://bookboon.com/cs/calculus-2b-3-ebook. ISBN 87-7681-206-5.
|
[1] BOUCHALA, J. Matematická analýza 3. Ostrava: VŠB – Technická univerzita Ostrava, 2001. studijní text.
[2] BOUCHALA, J., VLACH, O. Křivkový a plošný integrál. Ostrava: VŠB – Technická univerzita Ostrava, 2012. http://mi21.vsb.cz/modul/krivkovy-plosny-integral .
[3] http://mdg.vsb.cz/M/index.php?e=0,83 (studijní materiály Katedry matematiky a deskr. geometrie)
|
Recommended Reading: |
---|
SPIEGEL, R. M., LIPSCHUTZ, S., SPELLMAN, D. Vector Analysis, 2nd edition, McGraw-Hill, 2009, ISBN 978-7161-545-7
|
[1] REKTORYS, K. et al. Přehled užité matematiky I, II. 7. vyd. Praha: Prometheus, 2009. ISBN 978-80-7196-180-2.
[2] BRABEC, J., HRŮZA, B. Matematická analýza II. Praha: SNTL, 1986.
[3] BUDÍNSKÝ, B., CHARVÁT, J. Matematika II, Praha: SNTL, 1990.
|
Planned learning activities and teaching methods |
---|
Lectures, Tutorials |
Assesment methods and criteria |
---|
Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
---|
Credit and Examination | Credit and Examination | 100 (100) | 51 |
Credit | Credit | 30 | 15 |
Examination | Examination | 70 | 21 |