1. komponenta

Lecture type	Total
Lectures	30
Exercises	30

* Load is given in academic hour (1 academic hour = 45 minutes)

Course objectives:
To master solving of simpler differential equations, systems of linear equations, matrix calculus and the use of these tools to study the elementary properties of vectors in three-dimensional space.

Course content (syllabus):
1) Vectors in three-dimensional space and corresponding operations.
2-3) Notion of matrix; adding and multiplying matrices. Determinants.
4-5) Systems of linear equations. Elementary transformations. Gauss elimination method.
6-7) The rank of a matrix; matrix inverse.
8) Linear regression analysis by the least squares method.
9) Eigenvalues and eigenvectors.
10) Leslie model of the population growth.
11) Ordinary differential equations. Motivation.
12) Linear ordinary differential equation of the first order.
13) Autonomous equations. Modeling of the population growth.
14) Basic types of differential equations.
15) Solving methods of linear ordinary differential equation of higher order with constant coefficients.

1. Matematička analiza 1, Kurepa, S. (1975): Matematička analiza 1, Školska knjiga, Kurepa, S., Školska knjiga, Zagreb, 1975.
2. Uvod u matematiku, Kurepa, S. (1984): Uvod u matematiku, Tehnička knjiga, Kurepa, S., Tehnička knjiga, Zagreb, 1984.
3. Zadaci i riješeni primjeri iz više matematike, Demidovič, B.P. (1978): Zadaci i riješeni primjeri iz više matematike, Tehnička knjiga, Zagreb, 1978., Demidovič, B.P., Tehnička knjiga, Zagreb, 1978.
4. Schaum's Outline of Linear Algebra, Lipschutz, S. Lipson, M. (2001): Schaum's Outline of Linear Algebra, McGraw-Hill, Lipschutz, S., Lipson, M., McGraw-Hil, 2001.
5. Linearna algebra, Elezović, N. (1995): Linearna algebra, Element, Elezović, N., Element, Zagreb, 1995.
6. Introduction to Linear Algebra in Geology, Ferguson, J. (1994): Introduction to Linear Algebra in Geology, Springer Verlag, Ferguson, J., Springer Verlag, 1994.
7. Elementary differential equations, Boyce, W.E., DiPrima, R.C. (2004): Elementary differential equations, New York, Wiley & Sons, Boyce, W.E., DiPrima, R.C., New York, Wiley & Sons, 2004.

Enrollment :
Attended : Mathematics I

Mandatory course - Regular study - Geology
Mandatory course - Regular study - Geology