Luka UrbančMathematician · Ljubljana

Reports

A collection of finished university reports, project reports, and other substantial pieces of coursework. Reports are organised by academic year and subject and link directly to the original document.

2025/26

4 reports

Analysis IV

2

  • First homework for Analysis IV

    Homework · My submission for the first homework for the course Analysis IV, which covers solving partial differential equations, evaluating the solutions, canonical forms of equations, nonlinear PDE's and wave equations.

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  • Second homework for Analysis IV

    Homework · My submission for the second homework for the course Analysis IV, which covers the heat equation, harmonic functions, Dirichlet's problem on the unit disc and weak and strong solutions of partial differential equations.

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Mathematical Modeling

1

  • A chasing game between a dog and his owner

    Course report · A report that was written as a part of the Mathematical modeling course which concerns pursuit curves and their numerical solving as well as analysing the time to collision in cases with given initial conditions.

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Statistics

1

  • Statistics in simulated use cases

    Course report · The report was written as a part of an introductory Statistics course during the year 2025/26. It contains three exercises covering distinct areas of the course material. Each exercise is solved and explored further for interesting results.

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