Applied mathematics
Course title: 
Applied mathematics 

Course code: 
IFAMA 

ECTS: 
5 

Inclass hours 
Lectures: 
30 
Laboratory work/Tutorials: 
30 

Selfpreparation hours 
Practical training: 
 
Other: 
65 

Total hours: 
125 

Language: 
English 

Study cycle: 
BSc, Master, PhD 

Semester: 
Winter, summer 

Faculty: 
Faculty of Economics 

Name of the lecturer(s): 
Assoc. Prof. Velika Kuneva, PhD 

Mode of delivery: 
Facetoface, distance learning 

Prerequisites: 
no 

Learning outcomes of the course unit: 
The purpose of the Applied Mathematics course is to provide theoretical knowledge and practical skills for applying a number of effective mathematical methods in the field of Economics and Agricultural sciences. The course includes Linear algebra, Analytic geometry, Method of the least square, and Regression models 

Course contents: 
1. Matrices and matrix operations 2. Determinants of order 2 and 3 order 3. The inverse of a matrix 4. Solving equations by matrix inversion 5. Systems of linear equations. Cramer’s formulas. 6. The Gaussian Elimination Method 7. Teaching matrices and determinants using MS Excel 8. Ndimensional vector space 9. Inner product of vectors 10. Method of the least square 11. Regression models 

Recommended or required reading: 
1. Anton, Howard (2005), Elementary Linear Algebra (Applications Version) (9th ed.), Wiley International 2. Leon, Steven J. (2006), Linear Algebra With Applications (7th ed.), Pearson Prentice Hall 3. C. Lay, Linear algebra and its applications, University of Maryland  College Park, 2003, http://www.laylinalgebra.com/free_site 4. G. Strang, Linear algebra and its applications, 4th ed., Nelson Engineering, 2007, ISBN13: 9788131501726 5. J. DeFranza, D. Gigliardi, Introduction to Linear Algebra with Applications, McGraw Hill, 2009, ISBN 978–0–07–353235–6 6. B. Kolman, D. Hill, Elementary Linear Algebra with Applications, 9th ed., Prentice Hall, 2007, ISBN13: 9780132296540 

Planned learning activities and teaching methods: 
Monological explanation (lecture, presentation,briefing, tutorials), Dialogue methods(conversation,discussion,brainstorming) 

Assessment methods and criteria: 
Exercises evaluation, Written exam 