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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

Transformation in higher education discussed at colloquium
2013-05-16

16 May 2013

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The University of the Free State hosted the Higher Education Transformation Colloquium earlier this month on the Bloemfontein Campus.

On Monday 6 May 2013 till Wednesday 8 May 2013 the event brought together a wide range of stakeholders, including some members of university councils; vice-chancellors; academics and researchers; leaders of student formations and presidents of student representative councils; transformation managers; executive directors with responsibility for transformation in various universities, members of the newly established Transformation Oversight Committee and senior representatives from the Department of Higher Education and Training.

The event examined and debated some of the latest research studies and practices on the topic, as well as selected case studies from a number of public universities in South Africa.

Delivering a presentation at the colloquium, Dr Lis Lange, Senior Director of the Directorate for Institutional Research and Academic Planning at the UFS, said transformation in South Africa has been oversimplified and reduced to numbers, and the factors that might accelerate or slow the process have not been taken into account.

Dr Lange was delivering a paper, titled: The knowledge(s) of transformation: an archaeological perspective.

Dr Lange argued that “in the process of translating evolving political arguments into policy making, the intellectual, political and moral elements that shaped the conceptualisation of transformation in the early 1990s in South Africa, were reduced and oversimplified.”

She said crucial aspects of this reduction were the elimination of paradox and contradiction in the concept; the establishment of one accepted register of what transformation was and it is becoming sector-specific or socially blind. This means that the process was narrowed down in the policy texts and in the corresponding implementation strategies to the transformation of higher education, the schools system, the judiciary and the media, without keeping an eye on the structural conditions that can influence it in one way or another.

Dr Lange said the need for accountability further helped with reduction of transformation. “Because government and social institutions are accountable for their promises, transformation had to be measured and demonstrated.”

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