Mathematics III

Higher education teachers: Dolinar Gregor, Hajdinjak Melita
Collaborators: Cafuta Kristijan, Perne Andrej, Stopar Nik, Žitko Tomislav

Subject description

Prerequisits:

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

Content (Syllabus outline):

Differential geometry (curves, surfaces in three-dimensional Euclidean space). Multiple integral (parameter-dependent integral, double and triple integral). Vector analysis (gradient, divergence, curl, nabla operator). Line and surface integrals (Green’s theorem, divergence theorem of Gauss, Stokes’s theorem). Complex analysis (complex analytic functions, elementary complex functions, complex integration, Laurent series, theory of residues).

Objectives and competences:

• To upgrade the basic 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 the basic concepts of differential geometry and mathematical analysis (including vector analysis and complex analysis).
• The ability to analyse and mathematically interpret technical problems.
• The ability to use computer software for solving these problems.

Learning and teaching methods:

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

Study materials