SLO | EN

Objectives and competences

To know ordinary differential equations, their implementations.

Content (Syllabus outline)

1. Basics: Construction of ODE, graphical solutions, equations with separable variables, natural growth. 2. Ordinary differential equations: Basic types of ODE, parametric solving, singular integrals, applications in geometry and physics, Modeling changes with differencial equations. 3. Linear differential equations.

Learning and teaching methods

• Lectures • Lab- and seminar exercises • Individual work • Practical demonstration • Teaching and learning are done through the didactic use of ICT

Intended learning outcomes - knowledge and understanding

• Knowledge and understanding of differential equations and methods of their solution . • Be able to understand and implement differential equations.

Intended learning outcomes - transferable/key skills and other attributes

• Critical Thinking Skills (problem solving): solving more demanding physical tasks and practical problems based on the acquired knowledge, linking contents in the field of analysis and algebra. • Communication skills: manner of expression at exams.

Readings

E. Zakrajšek, Analiza III, 3. izdaja, DMFA Založništvo, 2002. J. Cimprič: Rešene naloge iz Analize III. DMFA Založništvo, 2001. W. Kaplan, Advanced Calculusi, Fifth Edition. Addisson-Wesley Publishing Company, Redwood City, California, 2003.

Prerequisits

Knowledge of differentials and integrals.

  • red. prof. dr. BLAŽ ZMAZEK

  • Written exam or 2 written test: 50
  • Oral examination: 50

  • : 20
  • : 25
  • : 45

  • Slovenian
  • Slovenian

  • MATHEMATICS - 2nd