Laboratory of Mathematics is actively involved in several research projects. Some of the current and former projects are briefly introduced on this page. The department conducts also other high-grade research in mathematics and computer science.
The project is a part of HEI-ICI programme (Higher Education Institutions Institutional Cooperation Instrument) by CIMO. The project involves three East African countries where workshops will be organised.
Department of Mathematics presents its ICT and web-based teaching and learning innovations and solutions, such as Math-Bridge, TUT Circle and web-based course of mathematical modelling, to African partners.
Inverse Problems group studies large variety of topics ranging from biology to cosmology. Many of the topics are about surface reconstruction as an inverse problem, in which field they are an internationally leading group. Main application fields are space research, forest and environmental sciences, and remote sensing.
Current research topics for Inverse Problems group are asteroid reconstruction, forest and tree research and multidimensional reconstruction. In asteroid reconstruction research group is constructing a complete procedure for asteroid modelling using all available data sources, working in close collaboration with a number of international teams producing the data. One interesting application is asteroid mining which has been featured in TUT Interface online magazine. In forest and tree research the goal is to develop a method that reconstructs a comprehensive, three-dimensional volume and surface model of a tree. Accurate tree models have a colossal range of applications, such as carbon cycle on both local and global scales in environmental and climate research, bioenergy planning, timber volume measurement, estimation of timber quality, carbon footprint budgeting, planning of harvesting, and forest fire prevention. Multidimensional reconstruction concentrates on surface reconstruction in dimensions larger than three. Research group develops practical generally applicable procedures for torus construction, to be used in, e.g., the analysis of large-scale sky surveys.
Inverse Problems group is part of the Finnish Centre of Excellence in Inverse Problems Research granted by Academy of Finland.
Math-Bridge project (2009-2012) addressed challenges facing university freshmen with weaknesses in their mathematics skills by building a web-based environment focusing on school and university mathematics courses for students starting their studies at the university level. The courses can be adapted to each learner’s knowledge and needs. The environment is multilingual and international: teachers can design and execute courses for various target groups and students with different mathematics skills.
In addition to Department of Mathematics at TUT, several other universities and research institutes from all over Europe were involved and cooperating in the project which was supported by funding under the eContentplus Programme of the European Union.
The project focuses on developing learning analytics for LMSs (Learning Management Systems). Visualisations for learning analytics based on user log data from Moodle LMS are researched and developed in order to enhance the learning experience of students and to support teachers in their activity. Analysis and visualisation of unstructured textual information is also explored.
The project is done in cooperation with two Italian (Unitelma Sapienza University and University of Sannio) and one Argentinian university (National University of La Plata).
MULTI-POS (Multitechnology Positioning Professionals) is Marie Curie Initial Training Network (ITN) addressing challenging research topics in the field of wireless localization by bridging the gap between the lower technology layer and upper application layer involved in wireless mobile location. MULTI-POS integrates research and training by offering comprehensive training to young fellows in the broad field of wireless location.
Department of Mathematics at TUT is specifically involved in one of the tasks with one Marie Curie researcher focusing on context-aware semantic processing. Objectives of the task include developing sensor interfaces and semantic knowledge model, studying semantic linked data techniques for analysing geolocation APIs and building a machine-processable description for an application programming interface ecosystem.
MULTI-POS is coordinated by Tampere University of Technology (TUT) and has several European academic and industrial partners. MULTI-POS is funded by the European commission.
The project is a part of Tempus IV programme by CIMO. The programme supports modernisation of higher education in areas surrounding the European Union. Within the project, Department of Mathematics at TUT cooperates with Georgian, Armenian and Russian educational institutions.
Cooperation involves comparison of curricula and, based on findings, possible changes to them. ICT based teaching and learning solutions and innovations, like Math-Bridge, are also presented to project partners. The project also involves workshop at TUT and teacher exchange.
User Data Visualisations for MOOCs
The project focuses on developing analysis and visualisation methods and solutions for MOOCs (Massive Open Online Courses) to deal with huge amounts of user data (Big Data). The project is done in cooperation with GAST-Group at Universidad Carlos III de Madrid.
(Sources: projects, CIMO, European Commission)