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Course detail
FSI-0AMAcad. year: 2024/2025
The course follows topics in Mathematics I, II, III and will introduce the students to the possibilities of using the basic mathematical apparatus in mathematical modelling in physics, mechanics and other technical disciplines. In seminars, some problems will be selected that students have previously encountered, and these will be discussed in more detail from a mathematics point of view. Furthermore, mathematical modelling using differential equations as well as methods of analysis of the equations obtained will be shown.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Linear algebra, differential calculus, integral calculus, solving of linear ordinary differential equations and their systems.
Rules for evaluation and completion of the course
Condition for awarding of the course-unit credit: Active participation in seminars.
Absence tolerated based on an agreement with the teacher.
Aims
Aim of the course: The aim of the course is to show the students in more detail the application of the basic mathematical apparatus in physics, technical mechanics and other fields. The objective is to teach the students to solve analytically selected problems for partial differential equations, and to analyze non-linear ordinary differential equations and their systems, which appear in some mathematical models.
Acquired knowledge and skills: After completing the course, the students will be able to solve analytically selected problems for partial differential equations and understand the relations with problems from other areas of mathematics. They will be able to determine stability and types of the equilibria of non-linear autonomous differential systems and behaviour of solutions in their neighbourhoods. On selected problems from physics, mechanics and other disciplines, the students will be familirized with the possibilities of mathematical modelling using ordinary differential equations and with the analysis of equations obtained.
Study aids
Prerequisites and corequisites
Basic literature
Recommended literature
Classification of course in study plans
Exercise
Teacher / Lecturer
Syllabus
After agreement with the students, some of the following topics will be selected: