Abstract: This article is devoted to the design of information and software support for the development process for а web-based system of the educational programs at the university level .The need to develop it is due to the requirements for the educational programs under the current federal state educational standards for the higher education. These standards establish that  the results of training are defined as an integral system of competences. Additionally, the article outlines the approach to the development of educational programs satisfying the requirements of the competence paradigm, upon which the basis of the system is being developed. The research is based upon the following methods: systemic analysis, graph theory, combinatorial-ordered modeling and dynamic programming. The scientific novelty of the research involves the development of a model for a learning resource formed as a hierarchy of knowledge spaces. This model of representation provides  modular flexible structure for the learning resources developed on its basis, which is achieved by combining in the model the properties of hierarchical and algebraic structures.