School of Engineering and Management


This course is part of the programme:
Bachelor's programme in Engineering and Management (First Level)

Objectives and competences

The objective is to provide mathematical knowledge and skills needed for qualitative and quantitative analyzing of concrete business/financial problems. The students learn the basic concepts of theory of probability and statistics, using Excel/GeoGebra.



Content (Syllabus outline)

1. Probability and statistics

  • Definition and basic concepts
  • Algebra of events
  • Random variables
  • Expected value, variance, median
  • Regression and correlation
  • Testing of statistical hypotheses:

the process of testing hypotheses, basic and zero

hypothesis, errors in testing hypotheses

  • Bivariate analysis: descriptive analysis of

the relationship of two variables nominal

and ordinal character (χ^2 test, Spearman

correlation coefficient), the determination of

numerical linear relationship of two

variables (Pearson correlation coefficient,

simple linear regression, the coefficient of


  • Use computer programs Excel/GeoGebra for statistical analysis: displaying and editing data, calculating all the relevant parameters, testing hypotheses.

Intended learning outcomes

Knowledge and understanding:

By the end of this course students will be able to:

-select an appropriate statistical method for the analysis of a given dataset in Excel/GeoGebra and provide its interpretation, editing and displaying data

-calculate statistical parameters (expected value, average, variance, median, standard deviation, etc.)

-test statistical hypothesis

-determine the probability of an event


  • A. Vadnjal, Elementarni uvod v verjetnostni račun, DZS, Ljubljana, 1979.
  • R. Jamnik, Matematika, DMFA, Ljubljana 1994.
  • M. Omladič, V. Omladič, Matematika in denar, Knjižnica Sigma, DMFA, Ljubljana, 1995.
  • M. Omladič, D. Kobal, M. Jerman, Poslovna matematika, Visoka strokovna šola za podjetništvo, Portorož, 2002
  • K. Košmelj, Uporabna statistika, Ljubljana: Univerza v Ljubljani, Biotehniška fakulteta, 2001.
  • F.M. Dekking, et al., A modern introduction to Probability and Statistics, Springer 2005,


Seminar work and homeworks, Written exam 30/70

Lecturer's references

Assoc. Prof. Dorota Korte

Principal education and research areas:

physics, materials’ ananysis, lasers’ methods

Professional career:

Assoc. Prof. Dorota Korte received her PhD in physics in 2006 at Technica University of Silesia in Poland. Her researech work started in 2007 at Technical Univeristy of Silesia in Poland where she was employed ane year as assistant and three years as assistant profesor. Since June 2008 she works at Univeristy of Nova Gorica. She is a lecturer of Physics at FVV and Statistics at PTF, FVV and FZO, as well as Project II at PTF.

Selected bibliography:

1. EBRAHIMPOUR, Zeinab, PLIEKHOVA, Olena, CABRERA, Humberto, ABDELHAMID, Mahmoud, KORTE, Dorota, GADEDJISSO-TOSSOU, Komlan Segbéya, NIEMELA, Joseph J., LAVRENČIČ ŠTANGAR, Urška, FRANKO, Mladen. Photodegradation mechanisms of reactive blue 19 dye under UV and simulated solar light irradiation. Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy. [Print ed.]. May 2021, vol. 252, str. 1-10, ilustr. ISSN 1386-1425. DOI: 10.1016/j.saa.2021.119481. [COBISS.SI-ID 49732355]

2. CABRERA, Humberto, GOLJAT, Leja, KORTE, Dorota, MARÍN MOARES, Ernesto, FRANKO, Mladen. A multi-thermal-lens approach to evaluation of multi-pass probe beam configuration in thermal lens spectrometry. Analytica chimica acta. [Print ed.]. Mar. 2020, vol. 1100, str. 182-190, ilustr. ISSN 0003-2670. DOI: 10.1016/j.aca.2019.12.009. [COBISS.SI-ID 5499131]

3. TOPIĆ, Jelena, ĆURKO, Natka, KOVAČEVIĆ GANIĆ, Karin, BUTINAR, Lorena, ALBREHT, Alen, VOVK, Irena, KORTE, Dorota, MOZETIČ VODOPIVEC, Branka. Synthesis of pyranoanthocyanins from Pinot Noir grape skin extract using fermentation with high pyranoanthocyanin producing yeasts and model wine storage as potential approaches in the production of stable natural food colorants. European Food Research and Technology, Zeitschrift für Lebensmittel-Untersuchung und -Forschung. A. [Print ed.]. 2020, vol. 246, iss. 6, str. 1141-1152, ilustr. ISSN 1438-2377. DOI: 10.1007/s00217-020-03467-2. [COBISS.SI-ID 5598715]

4. JOVANCIC, N., MARKUSHEV, D. K., MARKUSHEV, Dragan D., ALEKSIĆ, S. M., PANTIĆ, D. S., KORTE, Dorota, FRANKO, Mladen. Thermal and elastic characterization of nanostructured Fe2O3

polymorphs and TiO2-coated Fe2O3

using open photoacoustic cell. International journal of thermophysics. Jul. 2020, vol. 41, iss. 7, str. 1-17, ilustr. ISSN 0195-928X. DOI: 10.1007/s10765-020-02669-w. [COBISS.SI-ID 15900163]

5. TOPIĆ, Jelena, BUTINAR, Lorena, ALBREHT, Alen, VOVK, Irena, KORTE, Dorota, MOZETIČ VODOPIVEC, Branka. The impact of Saccharomyces and non-Saccharomyces yeasts on wine colour : a laboratory study of vinylphenolic pyranoanthocyanin formation and anthocyanin cell wall adsorption. Lebensmittel-Wissenschaft + Technologie. 2020, vol. 123, str. 1-9, ilustr. ISSN 0023-6438. DOI: 10.1016/j.lwt.2020.109072. [COBISS.SI-ID 5559803]

6. TOPIĆ, Jelena, BUTINAR, Lorena, ĆURKO, Natka, KOVAČEVIĆ GANIĆ, Karin, MOZETIČ VODOPIVEC, Branka, KORTE, Dorota, FRANKO, Mladen. Implementation of high performance liquid chromatography coupled to thermal lens spectrometry (HPLC-TLS) for quantification of pyranoanthocyanins during fermentation of Pinot Noir grapes. SN applied sciences. 2020, vol. 2, iss. 7, str. 1-15, ilustr. ISSN 2523-3963. DOI: 10.1007/s42452-020-3005-8. [COBISS.SI-ID 20043011]

7. BUDASHEVA, Hanna, KRAVOS, Aleksander, KORTE, Dorota, BRATKIČ, Arne, GAO, Yue, FRANKO, Mladen. Determination of dissolved iron redox species in freshwater sediment using DGT technique coupled to BDS. Acta chimica slovenica. [Spletna izd.]. 2019, vol. 66, no. 1, str. 239-246, ilustr. ISSN 1580-3155., DOI: 10.17344/acsi.2018.4848. [COBISS.SI-ID 5332475]

8. TOMSIČ, Gaja, GOLJAT, Leja, BUDASHEVA, Hanna, KORTE, Dorota, BRATKIČ, Arne, FRANKO, Mladen. Determination of iron in environmental water samples by FIA-TLS. Acta chimica slovenica. [Spletna izd.]. 2019, vol. 66, no. 4, str. 814-820, ilustr. ISSN 1580-3155., DOI: 10.17344/acsi.2018.4825. [COBISS.SI-ID 5512955]

9. CABRERA, Humberto, RAMÍREZ-MIQUET, Evelio E., SUÁREZ-VARGAS, José J., BARRERA RAMÍREZ, John Fredy, KORTE, Dorota, NIEMELA, Joseph J. Pump-probe photothermal self-mixing system for highly sensitive trace detection. IEEE sensors journal. [Print ed.]. 2019, vol. 19, iss. 7, str. 2547 – 2552, ilustr. ISSN 1530-437X. DOI: 10.1109/JSEN.2018.2889600. [COBISS.SI-ID 5335803]

10. CABRERA, Humberto, ASHRAF, I., MATROODI, F., RAMÍREZ-MIQUET, Evelio E., AKBAR, J., SUÁREZ-VARGAS, José J., BARRERA RAMÍREZ, John Fredy, KORTE, Dorota, BUDASHEVA, Hanna, NIEMELA, Joseph J. Photothermal lens technique : a comparison between conventional and self-mixing schemes. Laser physics. [Print ed.]. 2019, vol. 29, no. 5, str. 1-5, ilustr. ISSN 1054-660X. DOI: 10.1088/1555-6611/ab0a66. [COBISS.SI-ID 5366267]

11. CABRERA, Humberto, KORTE, Dorota, et al. Absorption spectra of ethanol and water using a photothermal lens spectrophotometer. Applied spectroscopy. 2018, vol. 72, no. 7, str. 1069-1073, ilustr. ISSN 0003-7028. DOI: 10.1177/0003702818759073. [COBISS.SI-ID 5165307]

12. MAVER, Uroš, XHANARI, Klodian, ŽIŽEK, Marko, KORTE, Dorota, GRADIŠNIK, Lidija, FRANKO, Mladen, FINŠGAR, Matjaž. A combination of interdisciplinary analytical tools for evaluation of multi-layered coatings on medical grade stainless steel for biomedical applications. European journal of pharmaceutics and biopharmaceutics. [Print ed.]. July 2018, vol. 128, str. 230-246, ilustr. ISSN 0939-6411. DOI: 10.1016/j.ejpb.2018.05.002. [COBISS.SI-ID 21403414]

13. PROSKURNIN, Mikhail A., KORTE, Dorota, FRANKO, Mladen, et al. Photothermal beam deflection spectroscopy for the determination of thermal diffusivity of soils and soil aggregates. International journal of thermophysics. [Online ed.]. 2018, vol. 39, str. 1-13, ilustr. ISSN 1572-9567., DOI: 10.1007/s10765-018-2401-4. [COBISS.SI-ID 5166075]

14. MARTÍN-PALMA, Raúl J., KORTE, Dorota, et al. Thermoelectric properties of nanostructured porous silicon. Materials research express. 2018, vol. 5, no. 1, str. 015004-1-015004-17, ilustr. ISSN 2053-1591., DOI: 10.1088/2053-1591/aa9d53. [COBISS.SI-ID 4963579]

15. VODIŠEK, Nives, ŠULIGOJ, Andraž, KORTE, Dorota, LAVRENČIČ ŠTANGAR, Urška. Transparent photocatalytic thin films on flexible polymer substrates. Materials. Oct. 2018, vol. 11, iss. 10, str. 1-16, ilustr. ISSN 1996-1944., DOI: 10.3390/ma11101945. [COBISS.SI-ID 5251067]

16. RODIČ, Peter, KATIĆ, Jozefina, KORTE, Dorota, DESIMONE, Paula M., FRANKO, Mladen, CERÉ, Silvia, METIKOŠ-HUKOVIĆ, Mirjana, MILOŠEV, Ingrid. The effect of cerium ions on the structure, porosity and electrochemical properties of Si/Zr-based hybrid sol-gel coatings deposited on aluminum. Metals. 2018, vol. 8, no. 4, str. 248-1-248-20. ISSN 2075-4701. DOI: 10.3390/met8040248. [COBISS.SI-ID 31314471]

17. KORTE, Dorota, GRAHOVAC, Aleš, JERKIČ, Andrej, BUDIČ, Bojan, FRANKO, Mladen, et al. Speciation and determination of ionic and trace-level colloidal silver in selected personal care products by thermal lens spectrometry. Pharmaceutica analytica acta. 2018, vol. 9, iss. 1, str. 1-10, ilustr. ISSN 2153-2435. DOI: 10.4172/2153-2435.1000573. [COBISS.SI-ID 5114619]

18. CABRERA, Humberto, KORTE, Dorota, FRANKO, Mladen, et al. Trace detection and photothermal spectral characterization by a tuneable thermal lens spectrometer with white-light excitation. Talanta. [Print ed.]. Jun. 2018, vol. 183, str. 158-163, ilustr. ISSN 0039-9140. DOI: 10.1016/j.talanta.2018.02.073. [COBISS.SI-ID 5110011]

19. MARKUSHEV, Dragan D., ORDONEZ-MIRANDA, J., RABASOVIĆ, Mihajlo, CHIRTOC, M., TODOROVIĆ, D. M., BIALKOWSKI, S. E., KORTE, Dorota, FRANKO, Mladen. Thermal and elastic characterization of glassy carbon thin films by photoacoustic measurements. The European physical journal plus. 2017, vol. 132, no. 33, str. 1-9, ilustr. ISSN 2190-5444. DOI: 10.1140/epjp/i2017-11307-2. [COBISS.SI-ID 4645883]

20. KORTE, Dorota, KAUKLER, Dejan, FANETTI, Mattia, CABRERA, Humberto, DAUBRONT, E., FRANKO, Mladen. Determination of petrophysical properties of sedimentary rocks by optical methods. Sedimentary geology. [Print ed.]. 2017, vol. 350, str. 72-79, ilustr. ISSN 0037-0738. DOI: 10.1016/j.sedgeo.2017.01.007. [COBISS.SI-ID 4659707]

21. CARRARO, Giorgio, MACCATO, Chiara, GASPAROTTO, Alberto, WARWICK, Michael E. A., SADA, Cinzia, TURNER, Stuart, BAZZO, Antonio, ANDREU, Teresa, PLIEKHOVA, Olena, KORTE, Dorota, LAVRENČIČ ŠTANGAR, Urška, VAN TENDELOO, Gustaaf, MORANTE, Juan Ramón, BARRECA, Davide. Hematite-based nanocomposites for light-activated applications : esynergistic role of TiO2

and Au introduction. Solar energy materials and solar cells. [Print ed.]. 2017, vol. 159, str. 456-466, ilustr. ISSN 0927-0248. DOI: 10.1016/j.solmat.2016.09.037. [COBISS.SI-ID 4528891]

University course code: 1GI031

Year of study: 2

Semester: 1

Course principal:




  • Lectures: 15 hours
  • Exercises: 15 hours
  • Individual work: 45 hours

Course type: mandatory

Languages: slovene

Learning and teaching methods:
lectures, exercises and homework