Objectives and competences
1. Hardening and upgrading of secondary school mathematics,
2. Ability of logical thinking,
3. Ability of constructive and systematic approach to solve actual mathematical problems in organizations,
4. Ability to use mathematical techniques and tools within professional courses during the study.
Content (Syllabus outline)
Quantitative methods which are applicable to actual mathematical problems in an organization.
Main chapters:
1. LINEAR ALGEBRA
1.1 Geometric vectors
1.2 Determinants and matrices
1.3 System of linear equations
2. CALCULUS
2.1 Sequences and number series (geometric sequence, compound interest)
2.2 Functions (Review of basic elementary functions. Continuity and limit of function)
2.3 Derivative (Function analysis. Differential)
2.4 Integral (Definite and indefinite integral. Application of definite integral)
2.5 Ordinary differential equations of the first order
2.6 Functions of two independant variables (Partial derivatives. Extremal problems)
2.7 Application of computer programs for symbolic and numerical computations
Intended learning outcomes - transferable/key skills and other attributes
Students will:
• be able to understanding fundamental quantitative methods from the field of linear algebra and analysis,
• be able to use the computer tools for symbolic and numerical computations on real problems within organizations.
Readings
1. A. Žnidaršič, J. Jerebic. Kvantitativne metode I: Matematične metode, Elektronsko študijsko gradivo, dostopno v spletni učilnici Moodle.
2. M. Bren, J. Gaber: Matematika, naloge iz linearne algebra, Moderna organizacija, Kranj 2002
3. M. Bren, S. Kapus, A. Žnidaršič: Matematika, Naloge iz analize I, Moderna organizacija, Kranj 2009
4. J. Gaber, S. Kapus, M. Bren: Matematika, Naloge iz analize II, Moderna organizacija, Kranj 2007
5. M. Mencinger, P. Šparl, S. Gaborovič: Uvajalni tečaj iz matematike, Fakulteta za gradbeništvo, Maribor, 2009
