Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference
In science and technology, the application of mathematics and mathematical modelling is crucial. A more conceptual and axiomatic approach has been taken in developing the narrative from geometry in the enormous history of mathematics. Mathematics is distinct from all other topics due to its use of t...
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| Format: | Article |
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MDPI AG
2023-12-01
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| Series: | Engineering Proceedings |
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| author | R. Delhibabu S. Vaithyasubramanian R. Sundararajan C. K. Kirubhashankar K. Vengatakrishnan Chandu P.M.S.S. |
| author_facet | R. Delhibabu S. Vaithyasubramanian R. Sundararajan C. K. Kirubhashankar K. Vengatakrishnan Chandu P.M.S.S. |
| author_sort | R. Delhibabu |
| collection | DOAJ |
| description | In science and technology, the application of mathematics and mathematical modelling is crucial. A more conceptual and axiomatic approach has been taken in developing the narrative from geometry in the enormous history of mathematics. Mathematics is distinct from all other topics due to its use of theorems, proofs, axioms, corollaries, examples, results, and analysis. Applications of mathematics can be found, among others, in management sciences, biosciences, chemical technology, computer sciences, information technology, and the medical industry. Differentiation and its extensions are among the most frequently used branches in mathematics. Different curves are created when a plane connects with the surface of a cone. They are called conic sections. Conic sections have uses in physics and architecture, among other fields. In this study, differential equations are used to determine the conic section’s type and locate its center. The effectiveness of conventional and innovative teaching strategies is compared using Bayesian inference. The Bayesian method is employed to update the prior assumptions regarding the relative efficacy of the two approaches. Data on student performance in four different types of classes are gathered for the analysis. |
| format | Article |
| id | doaj-art-db4b42dddd3d4ed6afd6b0f5d556bc2b |
| institution | OA Journals |
| issn | 2673-4591 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Engineering Proceedings |
| spelling | doaj-art-db4b42dddd3d4ed6afd6b0f5d556bc2b2025-08-20T02:11:09ZengMDPI AGEngineering Proceedings2673-45912023-12-015919310.3390/engproc2023059093Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian InferenceR. Delhibabu0S. Vaithyasubramanian1R. Sundararajan2C. K. Kirubhashankar3K. Vengatakrishnan4Chandu P.M.S.S.5Department of Mathematics, Sathyabama Institute of Science and Technology, Chennai 600119, Tamil Nadu, IndiaPG & Research Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai 600106, Tamil Nadu, IndiaDepartment of Mathematics, PSNA College of Engineering and Technology, Dindigul 624622, Tamil Nadu, IndiaDepartment of Mathematics, Sathyabama Institute of Science and Technology, Chennai 600119, Tamil Nadu, IndiaDepartment of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Muddenahalli, Bengaluru 562101, Karnataka, IndiaDepartment of CSE, Siddharth Institute of Engineering and Technology, Puttur 517583, Andhra Pradesh, IndiaIn science and technology, the application of mathematics and mathematical modelling is crucial. A more conceptual and axiomatic approach has been taken in developing the narrative from geometry in the enormous history of mathematics. Mathematics is distinct from all other topics due to its use of theorems, proofs, axioms, corollaries, examples, results, and analysis. Applications of mathematics can be found, among others, in management sciences, biosciences, chemical technology, computer sciences, information technology, and the medical industry. Differentiation and its extensions are among the most frequently used branches in mathematics. Different curves are created when a plane connects with the surface of a cone. They are called conic sections. Conic sections have uses in physics and architecture, among other fields. In this study, differential equations are used to determine the conic section’s type and locate its center. The effectiveness of conventional and innovative teaching strategies is compared using Bayesian inference. The Bayesian method is employed to update the prior assumptions regarding the relative efficacy of the two approaches. Data on student performance in four different types of classes are gathered for the analysis.https://www.mdpi.com/2673-4591/59/1/93mathematical modelingdifferential equationpartial differential equationconic sectioncenterBayesian inference |
| spellingShingle | R. Delhibabu S. Vaithyasubramanian R. Sundararajan C. K. Kirubhashankar K. Vengatakrishnan Chandu P.M.S.S. Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference Engineering Proceedings mathematical modeling differential equation partial differential equation conic section center Bayesian inference |
| title | Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference |
| title_full | Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference |
| title_fullStr | Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference |
| title_full_unstemmed | Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference |
| title_short | Integrating Pedagogical Approaches in the Study of Conic Sections Using Differential Equation and Analysis via Bayesian Inference |
| title_sort | integrating pedagogical approaches in the study of conic sections using differential equation and analysis via bayesian inference |
| topic | mathematical modeling differential equation partial differential equation conic section center Bayesian inference |
| url | https://www.mdpi.com/2673-4591/59/1/93 |
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