Consultations 
two times a week 
Gained competencies 
Capability of modelling realworld problems with differential equations, as well as solving them. 
Content (Course curriculum) 
 Introduction. Sources of ordinary differential equations. Notion of solutions: general and particular. Cauchy problem. The geometric meaning. Problem of sensibility on change of initial conditions.
 Ordinary differential equations of the first order. Solution and slope field. Existence and uniqueness theorems. Some types of ordinary differential equations of the first order (exact, homogeneous, linear, Bernoulli, Lagrange, Clairaut, Riccati). Examples and applications.
 Ordinary differential equations of second order. Some special types. Linear differential equation of second order. Lagrange’s method of variation of constants. Linear differential equations of second order with constant coefficients. Laplace transform. Examples and applications (harmonic oscillator).
 Ordinary differential equations of higher order.
 Systems of ordinary differential equations. System of linear equations with constant coefficients. Examples and applications (ballistic problem in vacuum and air).
 Appendix. Partial differential equation. Concept, examples and basic methods for solving them.

Recommended reading 
 Alić, Obične diferencijalne jednadžbe, PMF – Matematički odjel, Zagreb, 2001.
 Ivanšić, Fourierovi redovi. Diferencijalne jednadžbe, Department of Mathematics, University of Osijek, Osijek, 2000.
 W.E. Boyce, R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 7th edition, John Wiley & Sons, 2000.

Additional reading 
 L.E. Eljsgoljc, Differencialjnie uravnenija, Gosudarstvenoe izdateljstvo tehnikoteoretičeskoj literaturi, Moskva, 1957.
 G.F. Simmons, J.S. Robertson, Differential Equations with Applications and Historical Notes, $2^{nd$ Ed., McGrawHill, Inc., New York, 1991.
 Schaum’s outline series, McGRAWHILL, New York, 1991.
 S. Kurepa, Matematička analiza 2 (funkcije jedne varijable), Tehnička knjiga, Zagreb, 1990.

Instructional methods 
Exercises are are auditory, with usage of computer and LCD projector. 
Exam formats 
The exam consists of a written and oral part and can be is taken after the completion of lectures and exercises. Acceptable scores on 24 midterm examinations, which students write during the semester, replace the written examination. Students can also make a seminar paper which can affect the final grade. 
Language 
Croatian 
Quality control and successfulness follow up 
Anonymous survey testing of students 