  Main aim of this paper is the first light curve and apsidal motion analysis
of thirteen eccentric eclipsing binaries and to reveal their basic physical
properties. All of the systems were studied by method of period analysis of
times of minima and the light curve analysis. Many new times of minima for all
of the systems were derived and collected from the data obtained by the
automatic, robotic or satellite telescopes. This allow us to study the apsidal
motion in these systems in detail for the first time. From the light curve
analysis the first rough estimations of the physical properties of these
systems were done. The analyzed systems undergo an apsidal motion with the
following periods in years: AR CMa (44 +/- 10), OZ Hya (117 +/- 53), V498 Mon
(62 +/- 4), V521 Mon (217 +/- 37), V684 Mon (74.5 +/- 20), V730 Mon (39 +/-
12), GV Nor (197 +/- 67), NS Nor (516 +/- 230), TZ Pyx (157 +/- 37), V385 Sco
(1926 +/- 980), V629 Sco (56 +/- 17), V881 Sco (131 +/- 48), V1082 Sco (186 +/-
280). Also 190 new minima times were derived and included. The period and light
curve analyses were done, however a more detailed spectroscopic analysis is
needed to confirm the physical parameters of the components with higher
conclusiveness.
