This year's CIMPA Research School was focused on certain recent progress of mathematical analysis and numerical computations related to the partial differential equations, namely to material sciences for engineering science. It is very actual interest and concerns particularly the engineering faculties and students of the Mongolian Universities and overseas participants from Vietnam, Cambodia, South Korea, Pakistan, Austria and Philippines. The conference"s initial goal was to establish collaboration in the research as well as help to promote exchanges between mathematicians in Mongolia and experts from the research school participating countries and support women in Mathematics in Mongolia to develop their mathematical and research skills by precondition that women play an active part in higher education in Mongolia. For the report go here. The conference was partially supported by the Abel Board.