Mathematics IV

Higher education teachers: Dolinar Gregor, Hajdinjak Melita

Subject description

Prerequisits:

• Enrollment in the second year of study. Completed exams Mathematics I, Mathematics II and Mathematics III.

Content (Syllabus outline):

Integral transformations (Fourier transformation, Laplace transformation). Special functions (Gamma function, Beta function, Bessel functions). Partial differential equations wave equation, heat equation, Laplace equation). Calculus of variations (Euler equation). The finite element method.

Objectives and competences:

• To upgrade the concepts, procedures, and laws of mathematical analysis. To master them and acquire the ability to use them in practice for solving technical problems.
• To develop analytical thinking and careful and exact mathematical reasoning.

Intended learning outcomes:

• Knowledge and understanding of integral transformations, some special functions, and calculus of variations. The ability to solve the most important partial differential equations and to analyse and mathematically interpret technical problems. The ability to use computes software for analysing and solving these problems.
• Critical analysis of the use of the basic mathematical procedures and laws for solving technical problems that we encounter in practise.
• The identification, analysis, mathematical interpretation, and solving of problems. Exactness, consistency, diligence, and tidiness.

Learning and teaching methods:

• Lectures, tutorials, laboratory tutorials and homework assignments.
• Collective analysis, interpretation, and solving of technical problems.

Study materials