Analysis and Mathematics Education (ANDI)

The Division of Analysis and Mathematics Education conducts both interdisciplinary and applied research in various branches of analysis and didactics of mathematics.

For applied mathematics, the goals are to introduce mathematical methods and theories to already existing areas in science and technology, as well as to develop tools for solving new problems.

Mathematics, and mathematical analysis, has a natural and important place in many of Linköping University's educational programs, especially the master programs in engineering, and the division's teaching consists of basic, as well as advanced, courses in mathematics for these students.

Didactics of mathematics studies different aspects and conditions for teaching and learning mathematics and is an important element in teacher education. It is therefore natural to have activities in didactics of mathematics at the Department of Mathematics to ensure that both the didactic and mathematical content are of high quality in this area.

Research

The text ICTMA22 over the siluette above Linköping city

The 22nd International Conference on the Teaching of Mathematical Modelling and Applications (ICTMA22)

All researchers, teachers and mathematicians interested in the teaching and learning of mathematical modelling, are welcome to ICTMA22. The conference is taking place at Linköping University from Sunday 10 August to Friday 15 August 2025.

Group picture of Nageswari Shanmugalingam, Anders Björn, Jana Björn and Tomas Sjödin.

Nonlinear Potential Theory

The research group is mainly interested in analysis on metric spaces, and in particular nonlinear potential theory associated with p-harmonic functions and quasiminimizers in Euclidean and metric spaces.

Reflection in the water.

Differential Equations and Analysis on Metric Spaces

Differential equations describe many real-world phenomena but can rarely be solved exactly. We therefore study properties of their solutions in other ways, in very general situations, similarly to creating an identikit of an unknown criminal.

Doctoral studies in Mathematics

Contacts at the Division of Analysis and Mathematics Education (ANDI)

Address

Visiting address

Department of Mathematics, B Building, entrance 21-25, Campus Valla

Postal address

Linköping University
Department of Mathematics
581 83 Linköping
Sweden

Seminars

New Publications

2025

Lluís Albarracín, Jonas Bergman Ärlebäck (2025) Usando esquemas de resolución de problemas de Fermi Guiar actividades de modelización matemática. Uno Revista de Didáctica de las Matemáticas, Vol. 107, p. 7-13 (Article in journal)
Jonas Bergman Ärlebäck (2025) Pre-service Secondary Teachers'Pre-conceived Views on MathematicalModels and Modelling International Horizonsin Mathematics ModellingEducation, p. 223-236 (Chapter in book) Continue to DOI
Jinfa Cai, Gabriele Kaiser, Roza Leikin, Jonas Bergman Ärlebäck (2025) The Relationship of MathematicalModelling Education to Problem Solving,Problem Posing, and Creativity International Horizonsin Mathematics ModellingEducation, p. 47-67 (Chapter in book) Continue to DOI
Lluís Albarracín, Jonas Bergman Ärlebäck, Serife Sevinc, Ferrando Irene (2025) Developing Local RepresentativeSolutions to Fermi Problems International Horizonsin Mathematics ModellingEducation, p. 113-124 (Chapter in book) Continue to DOI
Vladimir Kozlov (2025) On the first bifurcation of stokes waves St. Petersburg Mathematical Journal, Vol. 36, p. 217-233 (Article in journal) Continue to DOI
Stephen J. Gardiner, Tomas Sjödin (2025) Partial Balayage for the Helmholtz Equation Potential Analysis (Article in journal) Continue to DOI
Jana Björn, Abubakar Mwasa (2025) Behaviour at infinity for solutions of a mixed nonlinear elliptic boundary value problem via inversion Nonlinear Analysis, Vol. 258, Article 113816 (Article in journal) Continue to DOI
Jonas Bergman Ärlebäck, Peter Frejd (2025) Exploring Swedish secondary students' mathematical models of fairness in ranking real-life, multi-faceted heptathlon outcomes ZDM - the International Journal on Mathematics Education (Article in journal) Continue to DOI
Carlo Alberto Antonini, Andrea Cianchi, Giulio Ciraolo, Alberto Farina, Vladimir Mazya (2025) Global second-order estimates in anisotropic elliptic problems Proceedings of the London Mathematical Society, Vol. 130, Article e70034 (Article in journal) Continue to DOI
Lluis Albarracin, Jonas Bergman Ärlebäck (2025) Exploring the role of assumptions in mathematical modeling teacher training using Fermi problems ZDM - the International Journal on Mathematics Education (Article in journal) Continue to DOI