1. komponenta

Lecture type	Total
Lectures	45
Exercises	30

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

COURSE AIMS AND OBJECTIVES: Course goals are to acquire theoretical and practical knowledge in the theory of ordinary and partial differential equations.

COURSE DESCRIPTION AND SYLLABUS:
1. Ordinary differential equations
2. Linear differential equations. Linear differential equations of the first order
3. Existence and uniqueness theorems for the Cauchy problem for the homogeneous linear equation of n-th order
4. Linear independence of functions and the Wronskian
5. Linear differential equation with constant coefficients
6. Nonhomogeneous differential equations. The method of undetermined coefficients. The method of Variation of Parameters.
7. Solving differential equations by power series.
8. Second order linear differential equation with regular singularities
9. Legendre polynomials and Legendre differential equation. A Generating Function for Legendre Polynomials.
10. The associated Legendre functions. Spherical harmonics
11. Laplace's equation. The method of separation of variables
12. Wave equation
13. Bessel functions and Bessel differential equation
14. Schrodinger equation. Laguerre polynomials

1. Matematičke metode fizike 2, Skripta, H. Kraljević, PMF, 1976.
2. Schaum's Outline Series of Differential Equations, R. Bronson, G. B. Costa, McGraw-Hill, 2006.
3. Obične diferencijalne jednadžbe, M. Alić, skripta PMF - MO, Zagreb, 1994.
4. Mathematical Methods for Physicists, G. B. Arfken, H. J. Weber, Academic Press, 1995.
5. Jednadžbe matematičke fizike, 1. svezak, I . Aganović, K. Veselić, Školska knjiga Zagreb, 1985.

Enrollment :
Attended : Differential and integral calculus 2

Examination :
Passed : Differential and integral calculus 2

Izborni matematički predmet 2 - Regular study - Mathematics and Physics Education