BINOMIAL EXPANSION – A SIMPLE COMPARATIVE ANALYSIS AND TIME COMPLEXITY OF CONVENTIONAL AND ALTERNATIVE METHODS

Authors

  • Ijeoma Peter Department of Social Studies, Faculty of Education, Ahmadu Bello University – Zaria. Author
  • Chinedu Peter Department of Mathematics, Faculty of Physical Sciences, Federal University, Dutsinma. Author

DOI:

https://doi.org/10.60787/jnamp-v66-309

Keywords:

Computer-ready, Time complexity, Analysis, Binomial expansion, Science

Abstract

Alternative (or computer-ready) approach of learning Mathematics is exemplified and compared to the conventional methods using binomial expansion as a sample subtopic. The approach uses the tabular system for obtaining the terms of a binomial expansion. Three groups of randomly selected 100 level students are tested using one method for each group. We present a comparative analysis of the data obtained. Some advantages of the alternative method were observed. It can go a long way to enhance students’ understanding of the concept. Moreover, it enables the programming of binomial expansion for computer aided solutions to problems whose solutions require binomial expansion as can be deduced from the time complexity of the methods.

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References

Borodin, A. (1975). The computational complexity of algebraic and numeric problems.

Christensen, H. P., Vigild, M. E., Thomsen, E., Szabo, P., & Horsewell, A. (2009). Activating teaching methods, studying responses and learning. Active learning for engineering education (9è: 2009: Barcelona).

Christensen, H.P. (2001). Study strategies for engineering students at DTU, Part 1: Data Fall 1999 – Spring 2001, CMD Report, DTU.

Christensen, H.P. (2002). Study strategies for engineering students at DTU, 30th SEFI (Societé Européenne pour la Formation des Ingénieurs) Annual Conference, Firenze, September 8th – 11th.

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Published

2024-05-27

How to Cite

BINOMIAL EXPANSION – A SIMPLE COMPARATIVE ANALYSIS AND TIME COMPLEXITY OF CONVENTIONAL AND ALTERNATIVE METHODS. (2024). The Journals of the Nigerian Association of Mathematical Physics, 66, 61-72. https://doi.org/10.60787/jnamp-v66-309

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