Mathematics I

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

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 present the basic concepts of calculus and expand and deepen their understanding. To develop analytical thinking. The acquired knowledge is indispensable in the study of Electrical Engineering.

Intended learning outcomes:

Knowledge and understanding of the basic concepts of calculus such as number systems, sequences, series, functions of one real variable, limits, derivative and (definite) integral of a function. The ability to analyse and mathematically interpret simple technical problems.

Learning and teaching methods:

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

Study materials

Readings:

1. G. Dolinar: Matematika I, Založba FE in FRI, Ljubljana, 2010
2. G. Tomšič, B. Orel, N. Mramor Kosta: Matematika I, Založba FE in FRI, Ljubljana, 2004
3. G. B. Thomas: Thomas' Calculus, Pearson Education, 2005
4. G. Dolinar, U. Demšar: Rešene naloge iz Matematike I za VSP, Založba FE in FRI, Ljubljana, 2004
5. B. Jurčič-Zlobec, N. Mramor Kosta: Zbirka nalog iz Matematike I, Založba FE in FRI, Ljubljana, 2001
6. Spletna stran http://matematika.fe.uni-lj.si/.