Selected Topics in Advanced Mathematics
Syllabus
- Functions of several variables: partial derivatives, maxima and minima, Lagrange multipliers for maxima and minima, implicit function.
- Differential equations: separated variables, LDE of 1st order, LDE of 2nd order, applications.
- Laplace and Fourier transform.
- Partial differential equations: basic concepts, modelling, solution by separating variables.
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Goals and competencies
On successful completion of this module students will be able of abstract thinking. Moreover, they will get mathematical fundamentals for other professional courses.
Basic literature
1. Aleksej Turnsek, Tehniska matematika, 2007
2. E. Kreyszig, Advanced Engineering Mathematics, Wiley – izdaja razpoložljiva v knjižnici
3. P. Mizori-Oblak, Matematika za studente tehnike in naravoslovja, 1. del – izdaja razpoložljiva v knjižnici
4 .P. Mizori-Oblak, Matematika za studente tehnike in naravoslovja, 2. del – izdaja razpoložljiva v knjižnici