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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

Work clouds and rhizomatic learning – Prof Johannes Cronjé teaches through technology in inaugural lecture
2014-09-29

Prof Johannes Cronjé 

Prof Johannes Cronjé has been appointed as visiting professor in the Faculty of Natural and Agricultural Sciences in collaboration with the Centre for Teaching and Learning. The driving force behind his appointment is to develop young and upcoming scholars in the field of online and blended learning at our university.The title of Prof Cronjé’s inaugural lecture, ‘Tablets, Painkillers or Snake Oil – a Remedy for Education?’ suggested a compelling event. Prof Cronjé did not disappoint.

“We live in a world where we carry more information in our pockets than in our entire head,” Prof Cronjé remarked. Interesting fact: an iPhone 4 has 16 million times more processing power than the Apollo 11 – the spacecraft that put the first man on the moon.

If students carry this much processing power in their hands, what should we be teaching students? Prof Cronjé asked. “I believe the answer to that is: we should be teaching them to teach themselves.”

Presenting his inaugural lecture in the same way as he would to his students, Prof Cronjé had the entire audience within minutes vigorously participating in the event.

Prof Cronjé advocates a process called rhizomatic learning. Knowledge, he explained, grows in a similar way to rhizomes’ roots – inseparably connected and seemingly without beginning or end. “Learning is a social aspect: people learn from one another.”

Making use of freely-available online applications, Prof Cronjé demonstrated the power of technology in the classroom. “My objective is to use technology to make people enthusiastic and motivated about the learning process.” Using their smartphones, tablets and laptops, the audience could effortlessly participate through connecting to each other by means of a virtual work cloud. “Knowledge is being created in the room as it happens,” Prof Cronjé explained, “motivating you to participate in this learning experience.”

“There are three things you need for group work to be successful: a mutual goal, individual responsibility and positive interdependence. Then it is real cooperative learning,” Prof Cronjé concluded.

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