Teaching transfer functions without the Laplace transform

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Standard

Teaching transfer functions without the Laplace transform. / Abou-Hayt, Imad; Dahl, Bettina; Rump, Camilla Østerberg.

I: European Journal of Engineering Education, Bind 47, Nr. 5, 2022, s. 746-761.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Abou-Hayt, I, Dahl, B & Rump, CØ 2022, 'Teaching transfer functions without the Laplace transform', European Journal of Engineering Education, bind 47, nr. 5, s. 746-761. https://doi.org/10.1080/03043797.2022.2062300

APA

Abou-Hayt, I., Dahl, B., & Rump, C. Ø. (2022). Teaching transfer functions without the Laplace transform. European Journal of Engineering Education, 47(5), 746-761. https://doi.org/10.1080/03043797.2022.2062300

Vancouver

Abou-Hayt I, Dahl B, Rump CØ. Teaching transfer functions without the Laplace transform. European Journal of Engineering Education. 2022;47(5):746-761. https://doi.org/10.1080/03043797.2022.2062300

Author

Abou-Hayt, Imad ; Dahl, Bettina ; Rump, Camilla Østerberg. / Teaching transfer functions without the Laplace transform. I: European Journal of Engineering Education. 2022 ; Bind 47, Nr. 5. s. 746-761.

Bibtex

@article{11df0b69af3046edbfa48b5f329ef417,
title = "Teaching transfer functions without the Laplace transform",
abstract = "Transfer functions are convenient representations to analyse cause-and-effect relationships of linear time-invariant dynamic systems. Traditionally, transfer functions are introduced using the Laplace transform. In this paper, we argue that the Laplace transform method is not a necessary prerequisite to understanding the topic 'transfer functions'. We offer an inquiry-based learning method to represent transfer functions without formally using the full machinery of Laplace transforms. The method is used in an introductory engineering course on system modelling and simulation at Aalborg University, Denmark. The paper also presents an initial assessment of the students' understanding of transfer functions without knowledge of Laplace transforms and the experiences gained from implementing inquiry-based learning in the course. Finally, we conclude with a discussion of the impact of CAS tools on mathematics and engineering science teaching and learning.",
keywords = "Laplace transforms, inquiry-based learning, transfer functions, modelling and simulation, block diagrams, Simulink",
author = "Imad Abou-Hayt and Bettina Dahl and Rump, {Camilla {\O}sterberg}",
year = "2022",
doi = "10.1080/03043797.2022.2062300",
language = "English",
volume = "47",
pages = "746--761",
journal = "European Journal of Engineering Education",
issn = "0304-3797",
publisher = "Taylor & Francis",
number = "5",

}

RIS

TY - JOUR

T1 - Teaching transfer functions without the Laplace transform

AU - Abou-Hayt, Imad

AU - Dahl, Bettina

AU - Rump, Camilla Østerberg

PY - 2022

Y1 - 2022

N2 - Transfer functions are convenient representations to analyse cause-and-effect relationships of linear time-invariant dynamic systems. Traditionally, transfer functions are introduced using the Laplace transform. In this paper, we argue that the Laplace transform method is not a necessary prerequisite to understanding the topic 'transfer functions'. We offer an inquiry-based learning method to represent transfer functions without formally using the full machinery of Laplace transforms. The method is used in an introductory engineering course on system modelling and simulation at Aalborg University, Denmark. The paper also presents an initial assessment of the students' understanding of transfer functions without knowledge of Laplace transforms and the experiences gained from implementing inquiry-based learning in the course. Finally, we conclude with a discussion of the impact of CAS tools on mathematics and engineering science teaching and learning.

AB - Transfer functions are convenient representations to analyse cause-and-effect relationships of linear time-invariant dynamic systems. Traditionally, transfer functions are introduced using the Laplace transform. In this paper, we argue that the Laplace transform method is not a necessary prerequisite to understanding the topic 'transfer functions'. We offer an inquiry-based learning method to represent transfer functions without formally using the full machinery of Laplace transforms. The method is used in an introductory engineering course on system modelling and simulation at Aalborg University, Denmark. The paper also presents an initial assessment of the students' understanding of transfer functions without knowledge of Laplace transforms and the experiences gained from implementing inquiry-based learning in the course. Finally, we conclude with a discussion of the impact of CAS tools on mathematics and engineering science teaching and learning.

KW - Laplace transforms

KW - inquiry-based learning

KW - transfer functions

KW - modelling and simulation

KW - block diagrams

KW - Simulink

U2 - 10.1080/03043797.2022.2062300

DO - 10.1080/03043797.2022.2062300

M3 - Journal article

VL - 47

SP - 746

EP - 761

JO - European Journal of Engineering Education

JF - European Journal of Engineering Education

SN - 0304-3797

IS - 5

ER -

ID: 304133660