### Abstract

In the fall of 2014 I taught ‘02601 Introduction to Numerical Algorithms’ to a class of 86 engineering students at Technical University of Denmark. The course employed basic calculus and linear algebra to elucidate and analyse canonical algorithms of scientific computing. A major part of the course was hands-on MATLAB programming, where the algorithms were tested and applied to solve physical modelbased problems. To encourage a deep approach, and discourage a surface approach to learning, I introduced into the lectures a basic but rigorous mathematical treatment of crucial theoretical points, emphasising the beauty of the underlying mathematical structure. Into this I integrated frequent and activating dialogue with the students. In section 1 I describe the course and the students in more detail. Section 2 details and justifies the pedagogical elements I introduced into the lectures; my central hypothesis is also given there. The results of the experiment are presented and discussed in section 3.

Original language | English |
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Title of host publication | Proceedings of the 43rd Annual SEFI Conference (2015) |

Number of pages | 8 |

Publication date | 2015 |

Article number | 55856 |

Publication status | Published - 2015 |

Event | 43rd Annual Conference of the European Society for Engineering Education (SEFI 2015) - Orléans, France Duration: 29 Jun 2015 → 2 Jul 2015 Conference number: 43 http://sefi2015.sciencesconf.org/resource/page/id/25 |

### Conference

Conference | 43rd Annual Conference of the European Society for Engineering Education (SEFI 2015) |
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Number | 43 |

Country | France |

City | Orléans |

Period | 29/06/2015 → 02/07/2015 |

Internet address |

### Bibliographical note

CHAPTER 3. Mathematics and Engineering Education### Keywords

- Mathematics
- Engineering

## Cite this

Karamehmedović, M. (2015). Mathematical beauty in service of deep approach to learning. In

*Proceedings of the 43rd Annual SEFI Conference (2015)*[55856] http://www.sefi.be/?page_id=6043