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MU:MU20061 Appl. of Diff. Equations - Course Information

## 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).
**Teacher(s)**- 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 **Timetable**- Mon 9:45–11:20 20
- Timetable of Seminar Groups:

*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**- Mathematical Methods and Modelling (programme MU, Bc-M)
- Mathematical Methods in Risk Management (programme MU, Bc-M)
- General Mathematics (programme MU, Bc-M)

**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

- - Population Models
**Literature**- C. H. Edwards, D. E. Penney.
*Elementary differential equations with applications*. Prentice Hall, Inc., 1985. ISBN 0-13-254129-7. info

*required literature*- R. Illner, C.S. Bohun, S. McCollum, T. van Roode.
*Mathematical modelling*. AMS Providence, 2005. ISBN 0-8218-3650-1. info

*recommended literature*- J. Kalas, Z. Pospíšil.
*Spojité modely v biologii*. Brno, 2001. ISBN 80-210-2626-X. info

*not specified*- C. H. Edwards, D. E. Penney.
**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.

- Enrolment Statistics (recent)

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