The aim of this article is to present an overview of the open access repositories of Higher Education Institutions in Mexico. An analysis of eleven repositories through the first phase of the SCOT methodology was carried out, highlighting, on one hand, the advantages of including academic production in this type of repositories and, on the other hand, the challenges that this may have for the authors at a personal level, and fot the institutions by those responsible for them. Elements of discussion are provided for the academic and scientific community that decides to get involved in this topic. The repositories of the Mexican IES registered with the largest number of OpenDOAR (one of the most widely accepted directories worldwide) resources are analyzed and it is concluded that these repositories are an interesting alternative for the visibility of resources, which maintains a growing trend in quantity and quality of resources housed in the open access repositories, it is also important to evidence and implement policies and procedures that ensure their quality and train the personnel involved in the maintenance of the repository, since it requires a holistic work team.

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Traditional teaching has been changing with the development of information and communication technologies (ICTs). Blended learning is a new approach that enriches the education of students in order to improve their performance in their different subjects. Mathematics learning is a subject matter that is particularly difficult for students. The present chapter targets the application of a cybernetic model for blended learning in the teaching of mathematics, that is, the elements of communication and control are incorporated into this learning paradigm. It applies to first-year students of mathematics at the university level in the area of engineering. The results show an improvement in tests applied to students before and after the inclusion of activities with technological applications.

The analysis of different Wavelets including novel Wavelet families based on atomic functions are presented, especially for ultrasound (US) and mammography (MG) images compression. This way we are able to determine with what type of filters Wavelet works better in compression of such images. Key properties: Frequency response, approximation order, projection cosine, and Riesz bounds were determined and compared for the classic Wavelets W9/7 used in standard JPEG2000, Daubechies8, Symlet8, as well as for the complex Kravchenko-Rvachev Wavelets ψ(t) based on the atomic functions up(t),  fup (2)(t), and eup(t). The comparison results show significantly better performance of novel Wavelets that is justified by experiments and in study of key properties.