University education usually, refers to adults who already have acquired a defined amount of knowledge. Everyone has conducted a project in their lifetime, the result of which is smaller, or bigger luggage of their own experience. This makes high demands facing the ones who prepare educational programmes concerning conducting projects. An optimal programme takes into consideration the specific character of adult education, knowledge that students contribute, as well as condensed effective education of linear and non-linear project management systems, convincing examples of various cultures and leader’s personality that influence the course of the project. Balanced andragogical education approach shapes students’ cognitive abilities and competence during very limited education time, and is highly appreciated by both the students and university authorities as well. Conducting project includes the knowledge of support technologies (IT), business methods and abilities connected with the human factor. These abilities are shaped within the intellectual intelligence (IQ), emotional intelligence (EQ) and Sense Making Intelligence (SQ). The adopted mental model of project management L-Timer™ is to ensure high effectiveness of education within the 3x3 subject matrix combination. Personal motivation and learners’ ability is the third dimension of the acquired knowledge. In order to achieve the students' highest motivation, the syllabus was based on andragogical concept of constant search of problem solution (why and what next?) based on active learning (stimulus - reflection) and acquiring knowledge jointly within a team.