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24 April 2023 | Story Leonie Bolleurs | Photo Supplied
Corlé van der Walt received her honours degree in mathematics and applied mathematics. She wants to show students that mathematics is not necessarily difficult, but that it is logical and practical.

Mathematics is undeniably part of the world – from telling time, buying groceries, to manufacturing clothing sizes, and everything in between.

This is the view of Corlé van der Walt, Junior Lecturer in the Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), who received her honours degree in mathematics and applied mathematics (with distinction) at the university’s April 2023 graduation ceremonies. 

The focus of her honours was on applied mathematics, specifically optimisation and dynamical systems. “These subjects link to my undergraduate degree, which is in industrial engineering,” says Van der Walt, who has always enjoyed and excelled in mathematics for as long as she can remember. 

Maths = skills +

She believes that mathematics is important because it helps us describe and value ourselves. “But still, mathematics is more than just the skills we learn; in the words of Albert Einstein, "Mathematics is, in its way, the poetry of logical ideas".

She says that mathematics is also the foundation for other sciences, such as physics, chemistry, and engineering. “Mathematics paves the way for all other forms of science. Without the computational groundwork, it will not be possible to do physics, chemistry, engineering, or any other form of science,” she adds, remarking that we will not be able to make scientific or technological progress.

“This is where I come in; I want to teach young upcoming students’ mathematics and the power of it. I want to show students that mathematics is not necessarily difficult, but that it is logical and practical. With my current qualification, I have already been appointed as a junior lecturer and I teach precalculus to university students who would like to take calculus,” she says.

A balancing act

Although she enjoys her work, Van der Walt finds it challenging to juggle work and studies. But she overcomes these obstacles by prioritising tasks and celebrating small achievements. Her motivation also comes from the joy of seeing her students understand concepts that they previously struggled with. 

With plans to complete her master's degree in the next two years and commencing her PhD studies, Van der Walt is committed to teaching the power of mathematics to upcoming students.

News Archive

Mathematical methods used to detect and classify breast cancer masses
2016-08-10

Description: Breast lesions Tags: Breast lesions

Examples of Acho’s breast mass
segmentation identification

Breast cancer is the leading cause of female mortality in developing countries. According to the World Health Organization (WHO), the low survival rates in developing countries are mainly due to the lack of early detection and adequate diagnosis programs.

Seeing the picture more clearly

Susan Acho from the University of the Free State’s Department of Medical Physics, breast cancer research focuses on using mathematical methods to delineate and classify breast masses. Advancements in medical research have led to remarkable progress in breast cancer detection, however, according to Acho, the methods of diagnosis currently available commercially, lack a detailed finesse in accurately identifying the boundaries of breast mass lesions.

Inspiration drawn from pioneer

Drawing inspiration from the Mammography Computer Aided Diagnosis Development and Implementation (CAADI) project, which was the brainchild Prof William Rae, Head of the department of Medical Physics, Acho’s MMedSc thesis titled ‘Segmentation and Quantitative Characterisation of Breast Masses Imaged using Digital Mammography’ investigates classical segmentation algorithms, texture features and classification of breast masses in mammography. It is a rare research topic in South Africa.

 Characterisation of breast masses, involves delineating and analysing the breast mass region on a mammogram in order to determine its shape, margin and texture composition. Computer-aided diagnosis (CAD) program detects the outline of the mass lesion, and uses this information together with its texture features to determine the clinical traits of the mass. CAD programs mark suspicious areas for second look or areas on a mammogram that the radiologist might have overlooked. It can act as an independent double reader of a mammogram in institutions where there is a shortage of trained mammogram readers. 

Light at the end of the tunnel

Breast cancer is one of the most common malignancies among females in South Africa. “The challenge is being able to apply these mathematical methods in the medical field to help find solutions to specific medical problems, and that’s what I hope my research will do,” she says.

By using mathematics, physics and digital imaging to understand breast masses on mammograms, her research bridges the gap between these fields to provide algorithms which are applicable in medical image interpretation.

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