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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

Projects of the South Campus inspire excellence
2014-12-18

The University of the Free State’s (UFS’s) South Campus in Bloemfontein runs several projects to make a difference in the lives of learners and educators in the central region. These projects are based on the very essence of the UFS – to ‘inspire excellence, change lives’.

Three projects which have been very successful since the outset are the UFS Schools Partnership Project, the Family Math and Family Science Project and the Internet Broadcast Project.

The Schools Partnership Project attempts to empower teachers by improving their teaching skills in critical Gr 10 – Gr 12 subjects (Physical Science, Mathematics and Accounting).

Poorly performing schools are invited to join in the programme. A mentor, providing guidance to teachers in the planning of lessons, transferring knowledge and creating a healthy learning environment in the classroom, is assigned to each subject teacher. Management and leadership skills are also improved.

Hercules Dreyer, Programme Manager, says the success of the programme can be seen in the lessons, the results and the progress which have been made.

“In 2013, the pass rate of participating schools has grown from 71.5% to 85%. We had an increase in donors and the project went from 22 schools with 12 mentors in 2013 to 72 schools and 34 mentors in 2015.”

The UFS Family Math and Family Science Project, which is already in its sixth year of existence, are extremely popular. This intervention programme focus on bringing about a better understanding of Mathematics and Science in learners, teachers and parents.

Dr Cobus van Breda, Programme Director of the Family Math and Family Science Project, says that judging by the feedback from teachers, it is evident that the programme is growing from strength to strength and that it is making a real difference in Mathematics and Science education in the early school years.

The UFS’s Internet Broadcast Project (IBP) has thus far received four awards for their successes. In this project, lessons in Mathematics, Accounting and Physical Science are broadcasted from the UFS’s South Campus through internet presentations to schools in rural areas.

“To date, the IBP catalogue contains over 2 000 video lessons and in 2013 alone, the 68 schools accessed and used these videos 69 305 times. The project has the potential to reach more than 40 000 learners and 1 765 teachers every week,” says Sarietjie Musgrave, Project Manager.

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