Course detail
Mathematical Seminar for Engineers
FSI-0MF Acad. year: 2025/2026 Summer semester
The course is designed for students of the 1st year of study, it supplements courses Mathematics I, II, BM. Within the seminar, slightly different problems than typical "algorithmic" tasks will be solved; the problems will be formulated in such a way that students are forced to find the necessary mathematical apparatus on their own. However, there will be no difficult or tricky problems from mathematical competitions, the problems will be inspired by those solved in physics, mechanics and other technical disciplines, in which many unknowns or parameters usually occur and that can be solved in different ways.
Supervisor
Department
Learning outcomes of the course unit
Prerequisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Language of instruction
Czech
Aims
Specification of controlled education, way of implementation and compensation for absences
Type of course unit
Exercise
26 hours, compulsory
Syllabus
The course is taught in the form of seminars with an emphasis on mutual cooperation and discussion.
Some of the discussed topics:
A possible use of complex numbers in geometry.
Vectors in solid mechanics.
Vector functions in dynamics of motion.
Positive /negative definiteness of matrices, criteria for local extremes of functions of several variables.
Method of Lagrange multipliers.
Optimization problems in mechanics.
Determinants in stability of equlibria of dynamical systems.
Linearization in models of population dynamics.
Mathematical modelling in evaluation of geometric characteristics in mechanics.
Applications of line and surface integrals.