# Mathematics I

Higher education teachers: Hajdinjak Melita
Collaborators: Cafuta Kristijan, Perne Andrej, Praprotnik Selena, Stopar Nik
Credits: 9
Semester: winter
Subject code: 64601

## Subject description

Prerequisits:

• Enrollment in the first year of study.

Content (Syllabus outline):

Number systems (positive integers, rational numbers, real numbers, complex numbers). Sequences (accumulation points, limit, boundedness). Series (convergence, convergence tests, harmonic series, alternating series). Functions of one real variable (domain of definition, image, oddness and evenness, injectivity, surjectivity, bijectivity, composition, inverse function, elementary functions, continuity, limit). Derivative of a function (derivation rules, geometric interpretation, differential, applications). Integral of a function (indefinite integral, definite integral, applications of definite integral).

Objectives and competences:

To master the basic concepts of mathematical analysis and to be able to better understand them. To develop analytical thinking and careful and exact mathematical reasoning. The acquired knowledge is indispensable in the study of Electrical Engineering.

Intended learning outcomes:

After successful completion of the course, students should be able to:

• solve basic problems of mathematical analysis, including sequences, series, real functions, derivatives and integrals,
• use an appropriate mathematical tool in applicative electrotechnics,
• compute the derivatives of elementary functions and integrals of some classes of functions,
• analyze simple applicative electrotechnical problems,
• connect different mathematical tools for solving simple technical problems,
• evaluate the solution.

Learning and teaching methods:

• Lectures
• Tutorials, and homework assignments
• Collective analysis, interpretation, and solving of technical problems

## Study materials

1. M. Hajdinjak, Matematika 1 na programu aplikativna elektrotehnika, Založba FE in FRI, 2016.
2. G. Dolinar, Matematika 1, Založba FE in FRI, 2010.
3. G. Tomšič, B. Orel, N. Mramor Kosta: Matematika I, Založba FE in FRI, Ljubljana, 2004.
4. G. B. Thomas: Thomas' Calculus, Pearson Education, 2005.
5. B. Jurčič-Zlobec, N. Mramor Kosta: Zbirka nalog iz Matematike I, Založba FE in FRI, 2009.
6. G. Dolinar, U. Demšar: Rešene naloge iz Matematike I za VSP, Založba FE in FRI, 2004.
7. Spletna učilnica eFEhttps://e.fe.uni-lj.si

# Study in which the course is carried out

• 1 year - 1st cycle - Applied Electrical Engineering