Slovensko

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



Subject description

Prerequisits:

  • Enrollment in the first year of study. Completed exam Mathematics I.

Content (Syllabus outline):

Vectors (basic operations, scalar product, vector product, scalar triple product). Matrices (basic operations, matrix product, rank, determinant, eigenvalues, eigenvectors, linear transformations). Systems of linear equations (Gauss elimination, Cramer's rule). Function series (power series, Taylor series, Fourier series). Functions of two and more variables (partial derivatives, chain rule, extrema, conditional extrema). Differential equations of the first order (with separable variables, linear). Differential equations of higher orders (with constant coefficients, Euler's equation).

Objectives and competences:

To present and upgrade basic mathematical concepts, procedures, and laws, and to deepen their understanding. To develop analytical thinking and careful and exact mathematical reasoning. The acquired knowledge is indispensable in the study of Electrical Engineering.

Intended learning outcomes:

Knowledge and understanding of the basic concepts of calculus and linear algebra, including vectors, matrices, systems of linear equations, function series, and differential equations. The ability to analyse and mathematically interpret fundamental technical problems.

Learning and teaching methods:

  1. Lectures, tutorials,
  2. and homework assignments.
  3. Collective analysis, interpretation, and solving of technical problems.





Study materials

Readings:

  1. G. Tomšič, N. Mramor Kosta, B. Orel: Matematika II, Založba FE in FRI, Ljubljana, 2005
  2. E. Kreyszig: Advanced engineering mathematics, John Wiley & Sons, 2006
  3. G. Dolinar: Rešene naloge iz Matematike II za VSŠ, Založba FE in FRI, Ljubljana, 2005
  4. N. Mramor Kosta, B. Jurčič-Zlobec: Zbirka nalog iz Matematike II, Založba FE in FRI, Ljubljana, 2005
  5. Spletna stran http://matematika.fe.uni-lj.si/







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