MU20061 Applications of Differential Equations

Mathematical Institute in Opava
Winter 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
doc. RNDr. Karel Hasík, Ph.D. (lecturer)
RNDr. Petra Nábělková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Karel Hasík, Ph.D.
Mathematical Institute in Opava
Mon 9:45–11:20 20
  • Timetable of Seminar Groups:
MU20061/01: Mon 11:25–13:00 111, P. Nábělková
Prerequisites (in Czech)
( MU20004 Mathematical Analysis IV || MU20012 Selected Topics in MA II ) && TYP_STUDIA ( B )
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Simple ordinary differential equations in the role models of deterministic stationary processes.
  • - Population Models
    - Logistic Equation
    - Acceleration-Velocity Models
    - Mechanical Vibrations
    - Forced Oscillations and Resonance
    - Ecological Models: Predators and Competitors
    required literature
  • C. H. Edwards, D. E. Penney. Elementary differential equations with applications. Prentice Hall, Inc., 1985. ISBN 0-13-254129-7. info
    recommended literature
  • R. Illner, C.S. Bohun, S. McCollum, T. van Roode. Mathematical modelling. AMS Providence, 2005. ISBN 0-8218-3650-1. info
    not specified
  • J. Kalas, Z. Pospíšil. Spojité modely v biologii. Brno, 2001. ISBN 80-210-2626-X. info
Language of instruction
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
Attendance at lectures is desirable. During the first lecture, students will be introduced to the requirements of the lecturer for graduation.
Assignment of the credit is conditioned on attendance and activity on lessons, successful solving, illustrative processing and presentation of the semester project.
The exam is oral. The professional knowledge and skills acquired during the study of the subject are examined.
The course is also listed under the following terms Winter 2019.
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