MU20061 Applications of Differential Equations

Mathematical Institute in Opava
Winter 2023
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Petra Nábělková, Ph.D. (lecturer)
RNDr. Petr Vojčák, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Petra Nábělková, Ph.D.
Mathematical Institute in Opava
Timetable
Tue 8:05–9:40 LVT2
  • Timetable of Seminar Groups:
MU20061/01: Thu 8:05–9:40 RZ, P. Vojčák
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.
Syllabus
  • - Population Models
    - Logistic Equation
    - Acceleration-Velocity Models
    - Mechanical Vibrations
    - Forced Oscillations and Resonance
    - Ecological Models: Predators and Competitors
Literature
    required literature
  • EDWARDS, C. H. and D. E. PENNEY. Elementary Differential Equations with Boundary Value Problems. Pearson, 2008. ISBN 0-13-239730-7. info
    recommended literature
  • R. Illner, C.S. Bohun, S. McCollum, T. van Roode. Mathematical modelling. AMS Providence, 2005. ISBN 0-8218-3650-1. info
  • Murray, J. D. Mathematical Biology. Springer, New York, 2002. ISBN 0-387-95223-3. info
    not specified
  • J. Kalas, Z. Pospíšil. Spojité modely v biologii. Brno, 2001. ISBN 80-210-2626-X. info
  • RAINVILLE, E. D., P. E. BEDIENT and R. E. BEDIENT. Elementary Differential Equations. Prentice Hall, 1997. ISBN 978-0-13-508011-5. info
  • E. Kreyszig. Advanced Engineering Mathematics. Wiley, New York, 1983. info
Language of instruction
Czech
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, Winter 2020, Winter 2022, Winter 2024.
  • Enrolment Statistics (Winter 2023, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2023/MU20061