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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

UFS hosts colloquium on technological higher education
2016-10-27

Description: Technology colloquium Tags: Technology colloquium

Prof Lew Zipin, Prof Sechaba Mahlomaholo,
Prof Marie Brennan and Dr Milton Nkoane,
attended the Faculty of Education’s colloquium
on the field of technological higher education
and its contribution to the knowledge society,
at the UFS Bloemfontein Campus. 

The University of the Free State’s (UFS) Faculty of Education, in collaboration with the Research and Development Unit from the Central University of Technology (CUT), hosted a colloquium on the field of technological higher education and its contribution to the knowledge society. Prof Marie Brennan and Prof Lew Zipin, both from Victoria University in Melbourne, Australia, presented the keynote addresses of the colloquium.

The past, present and future
The current fees protests in South Africa have caused universities to rethink and strategise new ways of delivering knowledge. Prof Brennan cautioned that when moving towards technological solutions for teaching, a crucial balance between past knowledge and practices and present and future knowledge and practices needed to be maintained.
“Knowledge is always dynamic, always generated from live problems, and therefore always relies on social interactions. Face-to-face interaction is removed by intense interaction with technology. If knowledge is presently linked to technology, we as academics must be able to move it. However, we should not neglect the indigenous knowledge that was generated through face-to-face interaction,” said Prof Brennan.
She purported that a reconnection between social relations and technology was important but to achieve this, a clearer pedagogical understanding of knowledge production was needed.

Never simplify complex problems

Prof Zipin said academics were constantly seeking complex problems and therefore could not reduce the complexity of a problem to simplify it for students entering the higher education space.
“We need to become a knowledge society. Ideologies often sway us not to look at the complexities of knowledge otherwise these ideologies would not be persuasive,” said Prof Zipin.

Is the technological move counterproductive?
Prof Zipin also cautioned that the move towards technological means for transferring knowledge had its own drawbacks. Institutions are a knowledge economy and its product is human capital. However, producing graduates who catered only to a technological society created downward mobility.
“People’s jobs are replaced by technology. This causes wages to decrease significantly because of structural inequalities, the move towards tech-based schooling should be done cautiously,” said Prof Zipin.

Simplicity not the ultimate sophistication
Prof Zipin concluded by stating that higher education had a responsibility to give its students the best possible future, this could be done by creating hegemonic relationships between institutions of higher learning, government and the private sector. Academics needed to fill the gap and apply their knowledge by applying complexity to social issues and allowing the complexity of these issues to flourish, the professor said.

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