Nowadays by the increase of Technologies, the demand for qualified specialists who can be competent in the newest scientific achievements, modern technologies and materials, can create qualitative global business. Therefore, the education system nowadays should be ready to offer young people such education so that they could be competitive in these new working conditions in order to increase their level of competences.In order to bring innovation into teaching of mathematics in Riga Technical University: 1) the portal ORTUS is used which helps both students and teaching staff in the study process; 2) the work with computer mathematical systems makes teaching of mathematics more attractive and helps students to understand mathematics easier; 3) assessment of students’ knowledge by means of testing enables wide modernization and optimization opportunities of the tuition process; 4) author’s created and rehearsed material in an open online site platform mooc.rtu.lv can help students and pupils understand separate mathematical questions, give support for acquiring mathematics independently, help prepare for mathematics tests and as a result promote pupils’ motivation for an active acquisition of mathematics.