Practical Mathematics (Modul F)

Higher education teachers: Hajdinjak Melita
Collaborators: Cafuta Kristijan, Perne Andrej, Stopar Nik
Credits: 5
Semester: winter
Subject code: 64682



Subject description

Prerequisits:

  • Enrollment in the third year of study.
  • Completed exams Mathematics I, Mathematics II, Fundamentals of Electrical Engineering I, Fundamentals of Electrical Engineering II.

Content (Syllabus outline):

1. Basic programming with Mathematica/Matlab:

  • Arithmetics: symbolic and numerical calculations.
  • Data structures: lists, vectors and matrices.
  • Plotting graphs of functions: one variable, two variables, and animations.

2. Using Mathematica/Matlab for solving problems from courses Mathematics I and Mathematics II:

  • Series: summation of series.
  • Vectors and matrices: scalar product, vector product, matrix product.
  • Coordinate systems: Cartesian, polar, cylindrical.
  • Differentiation: calculating derivatives, extrema and conditional extrema of a function.
  • Integration: calculating definite and indefinite integrals.

3. Basic concepts of numerical mathematics:

  • Solving nonlinear equations.
  • Systems of linear equations.
  • Numerical integration, quadrature formulae.
  • Numerical methods for differential equations: the finite difference method for boundary value problems.

4. Using Mathematica/Matlab for presenting and solving practical problems from electromagnetics.

Objectives and competences:

The objective of the module is to learn about the theory of electromagnetics by means of practical examples and to learn how to use Mathematica/Matlab software for presentation and numerical solving of problems from this area.

Intended learning outcomes:

The ability to analyse and mathematically interpret problems from electromagnetics. The ability to use Mathematica/Matlab software for solving these problems.

Learning and teaching methods:

Lectures, laboratory tutorials. Collective analysis, interpretation, and solving of technical problems.





Study materials

Readings:

  1. Borut Jurčič – Zlobec, Andrej Perne: Octave z uvodom v numerične metode, Založba FE in FRI, 2009.
  2. Gray Glynn: Exploring Mathematics with Mathematica, Addison-Wesley, 1991.
  3. Theodore Shifin: Multivariable Mathematics, Willey, 2005.
  4. James F. Epperson: An Introduction to Numerical Methods and Analysis, Willey, 2002.
  5. Bojan Orel: Numerične metode, Založba FE in FRI, 1999.
  6. Gabriel Tomšič, Bojan Orel, Neža Mramor-Kosta: Matematika I, Založba FE in FRI, 2001.
  7. Gabriel Tomšič, Neža Mramor-Kosta, Bojan Orel: Matematika II, Založba FE in FRI, 2002.
  8. Gabriel Tomšič, Tomaž Slivnik: Matematika III, Založba FE in FRI, 2001.
  9. Gabriel Tomšič, Tomaž Slivnik: Matematika IV, Založba FE in FRI, 1999.
  10. Anton R. Sinigoj: ELMG polje, Založba FE in FRI, 1996.



Study in which the course is carried out

  • 3 year - 1st cycle - Applied Electrical Engineering - Electronics
  • 3 year - 1st cycle - Applied Electrical Engineering - Control Engineering
  • 3 year - 1st cycle - Applied Electrical Engineering - Power Engineering Technology and System Automation
  • 3 year - 1st cycle - Applied Electrical Engineering - Information and Communication Technologies
  • 3 year - 1st cycle - Applied Electrical Engineering - Quality Engineering