Applied mathematics

Course title:

Applied mathematics

Course code:

IFAMA

ECTS:

5

In-class hours

Lectures:

30

Laboratory work/Tutorials:

30

Self-preparation 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:

Face-to-face, 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. N-dimensional 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/f...

4. G. Strang, Linear algebra and its applications, 4th ed., Nelson Engineering, 2007, ISBN-13: 978-813-150-172-6

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, ISBN-13: 978-0132296540

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