Subject description
1. Basic programming with Mathematica/Matlab.
a) Arithmetics: symbolic and numerical calculations.
b) Data structures: lists, vectors and matrices.
c) Plotting graphs of functions: one variable, two variables, and animations.
2. Using Mathematica/Matlab for solving problems from courses Mathematics I and Mathematics II.
a) Series: summation of series.
b) Vectors and matrices: scalar product, vector product, matrix product.
c) Coordinate systems: Cartesian, polar, cylindrical.
d) Differentiation: calculating derivatives, extrema and conditional extrema of a function.
e) Integration: calculating definite and indefinite integrals.
3. Basic concepts of numerical mathematics.
a) Solving nonlinear equations.
b) Systems of linear equations.
c) Numerical integration, quadrature formulae.
d) 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.
The subject is taught in programs
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. Develop science/mathematics/engineering literacy.
Teaching and learning methods
Lectures, laboratory tutorials, use of ICT tools. Collective analysis, interpretation, and solving of technical problems.
Expected study results
The ability to analyse and mathematically interpret problems from electromagnetics. The ability to use Mathematica/Matlab software for solving these problems. Appropriately display/communicate and critically evaluate the solution procedure and the obtained results.
Basic sources and literature
1. M. Hajdinjak: Matematični praktikum, zapiski predavanj, https://e.fe.uni-lj.si, 2021.
2. B. Jurčič-Zlobec, A. Perne: Octave z uvodom v numerične metode, Založba FE in FRI, 2009.
3. G. Glynn: Exploring Mathematics with Mathematica, Addison-Wesley, 1991.
4. T. Shifin: Multivariable Mathematics, Willey, 2005.
5. J. F. Epperson: An Introduction to Numerical Methods and Analysis, Willey, 2002.
6. B. Orel: Numerične metode, Založba FE in FRI, 1999.
7. M. Hajdinjak: Matematika 1 na programu Aplikativna elektrotehnika, 2. izdaja, Založba FE, 2019.
8. G. Tomšič, N. Mramor-Kosta, Bojan Orel: Matematika II, Založba FE in FRI, 2002.
9. Spletna učilnica eFE https://e.fe.uni-lj.si
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