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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

CTL experiments with mobile technology in teaching and learning
2016-05-23

Description: CTL experiments with mobile technology Tags: CTL experiments with mobile technology

On the left is Nokukhanya Nkosi, Researcher and Project manager at the Centre for Teaching and Learning presenting Annah Nggoepe her brand new laptop as part of the project which assesses the impact of personal mobile devices on teaching and learning.
Photo: Supplied

Video clip

Same curriculum. Add technology. Wait and see what happens. This research project which is funded by the Department of Higher Education and Training (DHET) seeks to understand the impact of personal mobile devices (PMD) in teaching and learning.

The University of the Free State (UFS), in conjunction with the University of Cape Town, the University of the Witwatersrand, the University of Johannesburg, and Sol Plaatje University, was approached by the DHET to spearhead this national collaborative project. Investigating whether the financial investment of a PMD on either the part of a university or of students adds value to the teaching and learning experience is the overall objective of the project.

Contemporary education
The Centre for Teaching and Learning (CTL) at the UFS have been taking an active part in the project since 2015, focusing specifically on the use of personal mobile devices in teaching and learning by both staff and students.

At the student level, the study will focus specifically on not just the obstacles that first-generation students face in terms of using technology in teaching and learning, but how institutions can support these students through access to these devices.  “In 2015, the CTL conducted the Digital Identity Study of students which highlighted the view that students at the UFS deemed laptops to be the most important PMD in their studies,” said Nokukhanya Nkosi, Researcher and Project manager at the CTL.   

In April 2016, thirty students were presented with laptops funded by the project grant. For the next two years, the CTL will assess whether these laptops enable greater flexibility and effectiveness of teaching and learning, both inside and out of the classroom for these students.  

Rise of the digital classroom
Annah Ngoepe, a second-year Geography and Environmental Management student taking part in this study, commends the shift from using only textbooks in the past to incorporating technology. “The laptop has the latest applications and programmes, which are convenient for me as a student, because they help in my learning. I can also download textbooks, get summaries of the textbooks, and even other people’s views on a particular subject online.”

Tiana van der Merwe, Deputy Director at the CTL, anticipates that, after two years, the Centre would be able to make not only institutional recommendations, but also recommendations to the National Department of Higher Education.

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