Objectives and competences
Students are familiarised with and grasp the concepts of mathematical analysis and probability calculus, they learn to think, write and express themselves accurately and they gain the ability to apply their theoretical knowledge in practice in logistics.
Goal: critically thinking and use theoretical knowledge in concrete cases, and find solutions to problems and their realization in the field of logistics.
Content (Syllabus outline)
Differential calculus: the derivative of a function, geometrical importance of a derivative, derivation rules, derivates of elementary functions, a differential, higher order derivatives, Taylor's formula, application of a derivative (extremes, inflection points).
Indefinite integral: definition, integration rules, introduction of a new variable, partial integration, integration of rational functions, application and examples.
Double, triple integrals.
Differential equations: basic terminology, first order differential equations, second order differential equations, examples.
Functions of more variables: examples, partial derivatives, Taylor's formula
Practical application in logistics: examples.
Learning and teaching methods
Lectures: students understand the theoretical frameworks of the course. Part of the lecture course is in a classroom while the rest is in the form of e-learning (e-lectures may be given via video-conferencing or with the help of specially designed e-material in a virtual electronic learning environment).
Tutorials: Students enhance their theoretical knowledge and are able to apply it. Part of the seminar is in a classroom while the rest is in the form of e-learning (e-tutorials may be given via video-conferencing or with the help of specially designed e-material in a virtual electronic learning environment).
Intended learning outcomes - knowledge and understanding
The ability to master standard methods and procedures of mathematical analysis.
The ability to use the acquired theoretical knowledge in practice in logistics.
Independence in professional work.
Students acquire the theoretical and applicative knowledge in the field of scientific research, upgrading natural sciences at the second level, or employment.
Readings
FOŠNER, Maja. Matematične metode: elektronski učbenik. Celje: Fakulteta za logistiko, 2009. 1 optični disk (CD-ROM). ISBN 978-961-6562-29-4.
Fošner, A., & Fošner, M. (2008). Matematika: univerzitetni učbenik. Fakulteta za logistiko. http://fl.uni-mb.si/eknjige/matematika_univerzitetni_ucbenik.pdf
Fošner, M., & Marcen, B. (2012). Zbirka nalog iz matematičnih metod II. Fakulteta za logistiko. http://fl.uni-mb.si/attachments/zbirka_nalog_MM2_Fosner_Marcen.pdf
Dodatna literatura:
Jamnik, R. (2001). Matematika (7. natis). DMFA - založništvo.
Vidav, I. (1961). Višja matematika. 1 (2. izd.). Državna založba Slovenije.
Vidav, I., Grasselli, J., Jamnik, R., Krušič, B., Vadnal, A., & Vencelj, M. (1975). Višja matematika. 2. Državna založba Slovenije.
Fošner, M., Zmazek, B., & Žerovnik, J. (2008). Matematične metode v logistiki: zapiski predavanj. Fakulteta za logistiko.
Additional information on implementation and assessment Successful completion of e-lectures and e-tutorials is a prerequisite for entering the exam.
Written examination (calculation part) 80%
Oral examination (theory) 20%
