Practical Mathematics

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

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.