Skip to main content
SpringerLink
Log in

A Mathematica Function to Get a List of Random Inequalities and Their Respective Solution Sets

  • Conference paper
  • First Online:
Advanced Research in Technologies, Information, Innovation and Sustainability (ARTIIS 2023)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1935))

  • 212 Accesses

Abstract

Solving inequalities is a first step and an important achievement for undergraduate students. In fact, it is one of the first subjects studied in most of the classical courses of higher basic mathematics. This paper presents a new function, GenerateInequalitiesList, coded in the Wolfram programming language, which is typical of Mathematica software, to generate a random list of inequalities with their respective solutions. To encode the program, use is mainly made of the native functions RandomInteger, RandomChoice, Reduce, and Surd; as well as the paradigms of functional programming and programming based on rules and patterns (typical of symbolic programming languages). The list of inequalities obtained can be used by teachers and/or students. The former is to save time in preparing exercises and the latter to generate practice material. The problem of the high license price of Mathematica can be overcome by assembling a Raspberry Pi computer and installing the free version of Mathematica for Raspbian.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Anastassiou, G.A., Mezei, R.A.: Numerical Analysis Using Sage. SUTMT, Springer, Cham (2015). https://doi.org/10.1007/978-3-319-16739-8

    Book  Google Scholar 

  2. Ardiç, M., Isleyen, T.: High school mathematics teachers’ levels of achieving technology integration and in-class reflections: the case of Mathematica. Univ. J. Educ. Res. 5(n12B), 1–7 (2017)

    Google Scholar 

  3. Ardiç, M., Isleyen, T.: Secondary School Mathematics Teachers’ and Students’ Views on Computer Assisted Mathematics Instruction in Turkey: Mathematica Example. Malays. Online J. Educ. Technol. 5(1), 46–64 (2017)

    Google Scholar 

  4. Conceição, A., et al.: Mathematica in the classroom: new tools for exploring precalculus and differential calculus. Conferência Nacional sobre Computação Simbólica no Ensino e na Investigação, CESEI2012. Lisboa (2012)

    Google Scholar 

  5. Course Hero Symbolab Ltd. (2023), Symbolab, https://www.symbolab.com/solver/. Accessed 03 July 2023

  6. Garvan, F.: The Maple Book. Chapman and Hall/CRC (2001). https://doi.org/10.1201/9781420035605

    Book  Google Scholar 

  7. Gray, J.: Mastering Mathematica, Second Edition. Academic Press (1997)

    Google Scholar 

  8. Kanagasabapathy, M.: Introduction to WxMaxima for Scientific Computations. BPB Publications (2018)

    Google Scholar 

  9. Maeder, R.: Programming in Mathematica, Third Edition. Addison-Wesley (1996)

    Google Scholar 

  10. Mohd, A., et al.: Adoption of wxmaxima software in the classroom: effect on students’ motivation and learning of mathematics. Malays. J. Math. Sci. 8(2), 311–323 (2014)

    Google Scholar 

  11. Karjanto, N., Husain, H.: Not another computer algebra system: highlighting wxmaxima in calculus. Mathematics 9(12), 1317 (2021)

    Article  Google Scholar 

  12. Kurniawan, A.: Raspbian OS Programming with the Raspberry Pi: IoT Projects with Wolfram, Mathematica, and Scratch. Apress (2019)

    Google Scholar 

  13. Makhdum, F.: Effect of using dynamic graphical utilities on students’ achievements and attitudes to enhance mathematics teaching and learning at the elementary level in Pakistan: enhancingandimpeding factors. J. Positive Sch. Psychol. 7(1), 106–116 (2023)

    Google Scholar 

  14. Raspberry Pi (2022), https://www.raspberrypi.com/products/raspberry-pi-4-model-b/. 02 Jan 2023

  15. Raspbian (2022), https://www.raspbian.org. Accessed 02 June 2023

  16. Roanes-Lozano, E., et al.: A proposal for filling the gap between the knowledge of a CAS and its application in the classroom. applications of computer algebra ACA’2007. Comput. Algebra Educ. 7–17 (2007)

    Google Scholar 

  17. Scribd (2016), Silabo Matematica Basica, https://es.scribd.com/document/312444798/Silabo-Matematica-Basica. Accessed 09 June 2023

  18. Wolfram Research (2023), Wolfram Alpha, https://www.wolframalpha.com/. Accessed 03 July 2023

  19. Wolfram Research (2022), Functional Programming, Wolfram Language & System Documentation Center, https://reference.wolfram.com/language/guide/FunctionalProgramming.html. Accessed 28 Dec 2022

  20. Wolfram Research (1988), Listable, Wolfram Language function, https://reference.wolfram.com/language/ref/Listable.html. Accessed 19 Dec 2022

  21. Wolfram Research (2007), RandomChoice, Wolfram Language function, https://reference.wolfram.com/language/ref/RandomChoice.html. Accessed 11 Sept 2022

  22. Wolfram Research (2007), RandomInteger, Wolfram Language function, https://reference.wolfram.com/language/ref/RandomInteger.html. Accessed 02 Aug 2022

  23. Wolfram Research (2022), ¡Wolfram Language y Mathematica gratis en cada Raspberry Pi!, https://www.wolfram.com/raspberry-pi. Accessed 21 Mar 2023

  24. Wolfram Research (1988), Reduce, Wolfram Language function, https://reference.wolfram.com/language/ref/Reduce.html. Accessed 13 Jan 2023

  25. Wolfram Research (2022), Rules & Patterns, Wolfram Language & System Documentation Center, https://reference.wolfram.com/language/guide/RulesAndPatterns.html. Accessed 02 July 2023

  26. Wolfram Research (2012), Surd, Wolfram Language function, https://reference.wolfram.com/language/ref/Surd.html. Accessed 20 Feb 2023

  27. Wolfram, S.: The Mathematica Book, Fifth Edition. Wolfram Research Inc, 2003

    Google Scholar 

  28. Wolfram, S.: Una Introducción Elemental a Wolfram Language. Wolfram Research Inc (2019)

    Google Scholar 

  29. Wikipedia (2022), Número real, https://es.wikipedia.org/wiki/N%C3%BAmero_real. Accessed 10 Jan 2023

Download references

Acknowledgment

The authors thank the reviewers for their valuable comments and thoughtful suggestions.

Author information

Authors and Affiliations

  1. Universidad Tecnológica del Perú, Av. Vice Cdra 1-Costado Real Plaza, Piura, Peru

    Judith K. Jiménez-Vilcherrez

  2. Universidad Nacional de Piura, Urb. Miraflores s/n, Castilla, Piura, Peru

    Robert Ipanaqué-Chero, Ricardo Velezmoro-León & Marcela F. Velásquez-Fernández

Authors
  1. Judith K. Jiménez-Vilcherrez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert Ipanaqué-Chero
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ricardo Velezmoro-León
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Marcela F. Velásquez-Fernández
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Robert Ipanaqué-Chero .

Editor information

Editors and Affiliations

  1. Universidad Estatal Peninsula de Santa Elena Campus Matriz, La Libertad, Ecuador

    Teresa Guarda

  2. Algoritmi Research Centre, University of Minho, Guimarães, Portugal

    Filipe Portela

  3. Universidad a Distancia de Madrid, Madrid, Spain

    Jose Maria Diaz-Nafria

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jiménez-Vilcherrez, J.K., Ipanaqué-Chero, R., Velezmoro-León, R., Velásquez-Fernández, M.F. (2024). A Mathematica Function to Get a List of Random Inequalities and Their Respective Solution Sets. In: Guarda, T., Portela, F., Diaz-Nafria, J.M. (eds) Advanced Research in Technologies, Information, Innovation and Sustainability. ARTIIS 2023. Communications in Computer and Information Science, vol 1935. Springer, Cham. https://doi.org/10.1007/978-3-031-48858-0_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-48858-0_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-48857-3

  • Online ISBN: 978-3-031-48858-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation