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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

‘Is the South African university curriculum ‘colonial'?’ asks Prof Jansen
2017-11-24

Description: Jansen readmore Tags: Prof Jonathan Jansen, colonial, university curriculum, western knowledge

From left; Prof Corli Witthuhn, Vice-Rector: Research; former Rector and Vice-
Chancellor of the UFS, Prof Jonathan Jansen; Prof Michael Levitt, and
Prof Francis Petersen at the celebration lecture at the UFS.
Photo: Johan Roux

One of the critical issues that emerged from the South African student protests during 2015 and 2016 was a demand for the decolonisation of university curriculums. 

A senior professor at the Stellenbosch University, Prof Jonathan Jansen, said the number of people, including academics, who joined the cause without adequately interrogating the language of this protest, was astonishing. “The role of social scientists is to investigate new ideas … when something is presented to the world as truth.” Prof Jansen was speaking during a celebration lecture at the University of the Free State in Bloemfontein on 15 November 2017. 

Large amount of knowledge not African

He said the accusation is correct to a limited degree. “The objection, in essence, is against the centring of Western, and especially European knowledge, in institutional curricula.” There is no doubt that most of what constitutes curriculum knowledge in South African universities, and in universities around the world, derive from the West. “The major theories and theorists, the methodologists and methods are disproportionally situated outside of the developing world,” Prof Jansen said. 

The dilemma is, how will South Africa and the continent change the locus of knowledge production, considering the deteriorating state of public universities? “In the absence of vibrant, original, and creative knowledge production systems in Africa and South Africa, where will this African-centred or African-led curriculum theory come from,” Jansen asked. He says the re-centring of a curriculum needs scholars with significant post-doctoral experiences that are rooted in the study of education and endowed with the critical independence of thought. “South Africa's universities are not places where scholars can think. South African universities’ current primary occupation is security and police dogs,” Prof Jansen said. 

Collaboration between African and Western scholars
“Despite the challenges, not everything was stuck in the past,” Prof Jansen said. South African scholars now lead major research programmes in the country intellectually. The common thread between these projects is that the content is African in the subjects of study, and the work reflects collaboration with academics in the rest of the world. These research projects attract postgraduate students from the West, and the research increasingly affects curriculum transformations across university departments. There is also an ongoing shift in the locus of authority for knowledge production within leading universities in South Africa. Prof Jansen feels a significant problem that is being ignored in the curriculum debate, is the concern about the knowledge of the future. How does South Africa prepare its young for the opportunities provided by the groundswell of technological innovation? “In other parts of the world, school children are learning coding, artificial intelligence, and automation on a large scale. They are introduced to neuroscience and applied mathematics,” he said.

Prof Jansen said, in contrast, in South Africa the debate focuses on the merits of mathematics literacy, and what to do with dead people’s statues.

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