1. komponenta

Lecture type	Total
Lectures	20

* Load is given in academic hour (1 academic hour = 45 minutes)

Topics of this course are ordinary and partial differential equations, linear systems and numerical methods for solving linear systems, vector and matrix norms, eigenvalues and eigenvectors and their application in numerical analysis. The emphasis is put on engineering problems and their solutions, as well as the connection with nonlinear problems. Suitable programming packages are used for numerical and symbolic computations.

TEACHING METHODS
Teaching methods are adapted to the individual student's needs: lectures and/or office hours.

STUDENTS' REQUIREMENTS
Seminar project related to the student's individual research interest.

LEARNING OUTCOMES
1. To comment the division of linear partial differential equations into the hyperbolic, parabolic and elliptic ones with respect to specific engineering problems where they are met.
2. To formulate the concept of initial and boundary conditions with respect to their type and the impact on the solution of differential equations.
3. To select a suitable method, exact or numerical, to solve mathematical problems (ordinary or partial differential equations, systems of linear or algebraic equations).
4. To compare diffusion equation with the equation of heat conduction with generalization of the analogy between different mathematical or engineering problems.
5. To analyze various computer packages according to their suitability for solving a specific problem in the domain of engineering mathematics.

LEARNING OUTCOMES AT THE LEVEL OF STUDY PROGRAMME
1. To systematise knowledge, skills and competences for the respective field and academic area of the programme of study.

1. To comment the division of linear partial differential equations into the hyperbolic, parabolic and elliptic ones with respect to specific engineering problems where they are met.
2. To formulate the concept of initial and boundary conditions with respect to their type and the impact on the solution of differential equations.
3. To select a suitable method, exact or numerical, to solve mathematical problems (ordinary or partial differential equations, systems of linear or algebraic equations).
4. To compare diffusion equation with the equation of heat conduction with generalization of the analogy between different mathematical or engineering problems.
5. To analyse various computer packages according to their suitability for solving a specific problem in the domain of engineering mathematics.
6. To systematise knowledge, skills and competences for the respective field and academic area of the programme of study.

D_Temeljni - Regular studij - Chemical Engineering and Applied Chemistry