In the course of microeconomics it is convenient to use additive functions of requirements in educational purposes, in which the volume of requirements is set by the linear function of the price, revenue and other factors. But in arriving at the substitution effect there is a number of problems in which impossible answers come out. The formula adjustment concluded by the author, which will allow to avoid contradictions, is described in the article.

Specific features of distance learning in Ukraine and the newest telecommunication technologies in the modern information society are revealed in the article. The importance of using distance education network to get high quality education that meets the requirements of the XXI century is emphasized. The possibilities if distance learning and teacher’s role in this process are revealed as well as requirements towards teacher’s pedagogic activity in new context. The sample of the successful electronic education network Shodennik.ua («Щоденник.ua») is given. The network is protected from external users and offers wide range of materials for people involved in the education process (teachers, children and their parents).

A bank is rather a complex system. It is caused by a considerable number of financial flows and the funds, having a various dynamic and probabilistic characteristics. Stable functioning of the system is provided due to hierarchy, external (prudential supervision) and internal regulators and restrictions, and feedbacks. One of the problem solved by models ALM is management of various risks (especially credit risk and interest-rate risk), including the problem of default probability decrease. The approach to mathematical modeling of cash flow accounts in assets and liabilities of the commercial bank based on the partial differential equations is novel and has no analogues in the literature. At the same time, the given approach is quite logic as reflects process of change of actives simultaneously in time and on "age". Depending on concrete theoretical or practical problems the given approach can be realized in the various modifications, two of which are presented in this paper.

The essence of pedagogical diagnostics and its functions in the learning process is considered. The use of pedagogical diagnostics in distance learning to help the student in choosing the expedient for him variant of independent work that contributes to personal orientation of the educational process is analysed. Structure of the pedagogical diagnostics system is proposed, requirements to the system, the stages and procedure of its design are discussed.

The article examines the development of technologies open education. We describe the views of scientists on the concept of «open education» and functionally related terms «e-learning», «global educational space», «information-educational environment», «technology open education» and others. Examines possibilities technologies open education for informatization of the educational process.

The article singles out four types of learning models: the model of distance education without the use of global networks, network model of e-learning, mobile learning model and the model of cloud technologies for distance learning can help you organize the teaching of Mathematics. Mentioned advantages and disadvantages of cloud technologies for distance learning.

The article covers the main aspects of the implementation and application of information technology in preparing future elementary school teachers, which reveals the need for change in content, forms and methods in the practice of primary school. The analysis of the creation of computer-based environment of elementary school provided a basis to determine the theoretical and methodological foundations of information technology training students in high school.

The article presents the electronic textbook “Ukrainian Sacred Music”, created for the students of pedagogical universities – future teachers of music. We consider the content of the electronic manual, its structure, requirements for the computer, as well as the prospects for its use in the classroom on the history of Ukrainian music and self-study.

This paper is devoted to the principles of construction of the information system of research and development management. Requirements for the development of corporate information systems for scientific research automation are described. The information system of research and development management at NAPS of Ukraine is presented. System interface and working with system documents are described.

Purpose of work is develop an algorithm corrections test scores based on the analysis of complexity test questions. In this paper the tests with a closed form of the question are described. Corrections of test scores required for the differentiation of test participants who have scored equal test scores. The paper presents the main steps of the algorithm corrections of test results and present calculations that show the effectiveness of the algorithm. For the calculations used for data analysis packages such as SPSS and MS Excel.

A brief analysis of the social and economic aspects of the development of DL systems in the Arab world has been offered. Three key elements in the provision of educational services has been considered. The problems of development and sustainable growth of distance learning systems have been discussed.

The article is devoted to the improvement of the university personnel management system in Russia. Simulation model of teacher’s career at the university is presented. The model is founded on system dynamics principles. It is necessary to change salary scale at the universities of Russia. It will be good for the reasons of conservation of correct proportion amongst assistants and professors and increasing level of teacher’s motivation.

The article examines some aspects of evaluation of quality distance learning, in particular distance learning courses. A list of quantitative and qualitative indicators that measure the quality of distance learning courses, and their evaluation in points is offered. In the paper is described the methodical approach of the use of fuzzy logic to evaluate the quality of distance course.

The article investigated the concept of information and educational space» and determined the aspects of integration of its services. The unified authentication is an important component of information and educational space. It can be based on LDAP-directory. This study presented the main advantages of using Google Apps in process of learning. We described the experience of the integration Google Apps into information and educational space of Department of Physics and Mathematics of Ternopil V. Hnatyuk National Pedagogical University.

A concept of software support of learning programming language and technologies is regarded in the article. Present systems of independent study of subjects, related to programming, are examined. Necessary components of a system of support learning programming languages and technologies, which is oriented on independent study, are considered.

To improve the training process is necessary to use such powerful technologies, as ‘cloud computing’. Supporting traditional training forms, it’s the new epoch of education development. It’s also economic, effective and flexible way to satisfy the needs of taught in new knowledge getting.

Communication improving of educational processes requires today new approaches to the management arrangements and forming of educational policy in the field of distance learning, which is based on the use of modern information and communication technologies. An important step in this process is the continuous monitoring of the development and implementation of information technology and, in particular, the distance learning systems in higher educational establishments. The main objective of the monitoring is the impact assessment on the development of distance learning following the state educational standards, curricula, methodical and technical equipment and other factors; factors revelation that influence the implementation and outcomes of distance learning; results comparison of educational institution functioning and distance education systems in order to determine the most efficient ways of its development. The paper presents the analysis results of the dependence of the quality of educational services on the electronic educational resources. Trends in educational services development was studied by comparing the quality influence of electronic educational resources on the quality of educational services of higher pedagogical educational institutions of Ukraine as of 2009-2010 and 2012-2013. Generally, the analysis of the survey results allows evaluating quality of the modern education services as satisfactory and it can be said that almost 70% of the success of their future development depends on the quality of the used electronic educational resources and distance learning systems in particular.

This article describes system of computer mathematics for educational purposes with intellectual features that focus on supporting of practical activity of users. Also submitted the control of knowledge as a form of feedback in information support system of learning process.

Content curated - a new activity (started in 2008) qualified network users with process large amounts of information to represent her social network users. To prepare content curators developed 7 weeks distance course, which examines the functions, methods and tools curator. Courses showed a significant relationship success learning on the availability of advanced personal learning environment and the ability to process and analyze information.

This article analyzes the current state of distance education in Ukraine and highlights the urgent problems to solve which а new Statute on distance learning has been worked out.

The article investigated the state of development of specific digital libraries – institutional repositories. In the article described the features of their use in scientific research work of the students. This research contains an interview. It identified the major trends of use e-information in the studying and scientific work.

Recent years demonstrate significant transformations in the field of education. The reply to the challenges of globalization and modern information society is implementation of lifelong learning paradigm (LL). The implementation of LL paradigm suggests a more complex and flexible learning process than the traditional one, with essential role of collaborative work of virtual teams. Maximum efficiency of virtual teams is achieved through the flexible use of the combination of both basic functional components and auxiliary tools based on cloud services. This task can be solved by creating a modern ICT-based environment, which implements an effective information support to collaborative work of the members of virtual teams. The environment provides technological solutions for the virtual teams and communities. It also provides features to implement flexible roles distribution, depending on the specifics of the addressed problem and the level of involvement of a particular user in the learning within the LL paradigm.

The article outlines the main advantages of distance learning (e-learning) for students with functional limitations, describes the types of learning models according to the process of interaction of stakeholders, characterizes the types of ICT applicable to each mode of interaction.