1. Railway track geometry components and track alignment design parameters within operation speed 160 km/h. Rail track gauge and gauge widening. 2. Cant, distance-related cant gradient, time-related cant gradient, cant deficiency. 3. Horizontal track alignment. Transition curves. 4. Nonlinear transition curves. 5. Compound curves. Transition curves connecting two circular curves. Reverse curves. 6. Vertical track alignment, gradients, vertical curves. 7. Track alignment design parameters for operation of tilting body trains. 8. Routing of railway lines, railway track design. 9. Geodetic surveying of track layout, track layout optimization problems. 10. Geodetic layouts and fixing of rail track alignment. 11. Clearances. The centre line distances in open track and in railway stations.

1. Rail track gauge and gauge widening 2. Cant, specifying of design of a section double track line. 3. Circle curve, distance-related cant gradient, time-related cant gradient, cant deficiency. 4. Transition curves, clothoid, cubic parabola. Calculations of track layout of a circle curve with transition curves. 5. Compound curves. Transition curves connecting two circular curves. Reverse curves. 6. Design of parallel tracks. Change of track axis distance. 7. Design parameters regarding the tilting trains. 8. Vertical track alignment 9. Drawings elaboration 10. Consultations 11. Submitting of the study of a section of railway line, credit.