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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

DF Malherbe Memorial Lecture
2005-05-19

DF Malherbe Memorial Lecture: Language and language activism in a time of transformation (summary)
Proff Hennie van Coller and Jaap Steyn

Language activism necessary for multilingualism
The awareness is growing that language activism will be needed to bring about a truly democratic multi-lingual society. What is quite clear is that a firm resolve must continuously resist the concentrated pressure on Afrikaans-medium schools (and universities) to allow themselves to be anglicised through becoming first parallel medium, then dual medium, and finally English medium institutions.

Proff Hennie van Coller and Jaap Steyn said this last night (Wednesday night) in the 24th DF Malherbe Memorial Lecture at the University of the Free State. Prof van Coller is head of the Department Afrikaans, Dutch, German and French at the UFS. Both are widely honoured for their contributions to Afrikaans and the promotion of Afrikaans.

They discussed three periods of transformation since 1902, and said about the current phase, which started in 1994:  “Besides all institutions and councils having to be representative of South Africa’s racial composition, places of education were required to open their doors. Quite rapidly this policy has had the result that schools and universities may be solely English medium, but not solely Afrikaans medium. Afrikaans medium institutions — if they claim the right to remain Afrikaans — are quickly branded racist, even though their student body may include all races.

“Education departments are presently exerting great pressure on Afrikaans medium schools to become double or parallel medium schools.  Parallel medium education is an equitable solution provided it can be sustained. Established parallel medium schools, such as Grey College in Bloemfontein, have catered even-handedly for English and Afrikaans speakers for decades. But the situation is different in the parallel medium (and still worse in the double medium) schools that spring up usually at the behest of a department of education.

“Afrikaans schools are converted almost over-night into parallel or dual medium schools without any additional personnel being provided. Depending on the social environment, a parallel medium school becomes reconstituted as a dual medium school on average in five to eight years, and dual medium school becomes an English-only school in two to three years. Some Afrikaans medium schools have become English medium in just three years.

“Though the Constitution recognises mono-lingual schools, officials in the provinces insist that Afrikaans schools become dual or parallel medium; English medium schools are left undisturbed. One must conclude that the tacit aim of the state is English as the sole official language, despite the lip-service paid to multi-lingualism, and the optimistic references to post-apartheid South Africa as a ‘rainbow’ nation.”

They said a recent study has shown that the 1 396 Afrikaans schools in the six provinces in 1993 have dwindled to 844. The fall off in the Free State is from 153 to 97; in the Western Cape from 759 to 564; in Gauteng from 274 to 155; in Mapumalanga from 90 to 3; in the North West from 82 to 13; and in Limpopo Province from 38 to 12.

They said the changes at universities, too, have been severe, as university staffs well know. Ten years ago there were five Afrikaans universities. Today there are none. The government demanded that all universities be open to all, which has meant that all universities have had to become English medium. And no additional funding was forthcoming for the changes. The government policy amounts to a language “tax” imposed on the Afrikaans community for using Afrikaans.

“Only when all schools (and universities) are English will the clamor cease. Academics and educationists are beginning to speak openly of forming pressure groups to save Afrikaans schools, and of using litigation as one of their methods. 59% of Afrikaans parents have said they would support strong action if Afrikaans were no longer a medium of instruction at schools.”

 

 


 

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