Abstract
This paper presents simple approach to determine an Equivalent Solutions to some Integral Calculus Problems. An experimental study was carried out on one hundred and twenty (120) students offering Integral Calculus Course in the Department of Mathematics, Adeniran Ogunsanya College of Education, Otto/Ijanikin, Lagos State. The sample chosen includes male and female students from the following course combinations: Physics / Mathematics, Chemistry / Mathematics, Computer / Mathematics, Integrated Science / Mathematics, Economics / Mathematics, Biology/Mathematics and Geography / Mathematics. The students were grouped into seven based on their course combinations. The students in their respective groups were subjected to the same problem on integration where they are free to use any method of integration of their choice. The students came up with various solutions to a given integral calculus problem. Each of the solutions obtained in each group was evaluated on specified interval to determine the numerical value in order to draw inference on equivalent solutions. Maple software was used to determine if the solutions from each group are equivalent or differs. The numerical value and graphical representation of the solutions from each group using Maple software shows that the solutions obtained by the students in their respective groups are equivalent. Hence, maple software adaptation in teaching integral calculus enhanced the students’ learning and by extension shows that equivalent solutions to some problems on integral calculus exists.
Highlights
Mathematics application is global in every facet of life
Maple software was used to show graphical representation of the solution set obtained by the students in their respective groups
We have been able to show the existence of an equivalent solution set to the integral of a continuous function by obtaining the numerical value of the solution set at the same specified interval
Summary
Mathematics application is global in every facet of life It is the heart of Science and Technology. Mathematics including calculus is a primary doorway to engineering careers [1] It was described in [1] and cited in [2] as the mirror of civilization in all the centuries of painstaking calculation, and the most basic discipline for any person who would be truly educated in any science and in many other endeavours. Calculus as a branch of Mathematics has very wide areas of applications in Physical Sciences and Engineering. We apply Maple to enhance the teaching and learning process of integration after the group presentation of the solutions by the students on the given integration problems. Maple software was used to show graphical representation of the solution set obtained by the students in their respective groups. There was misconception among the students to ascertain the similarities/differences in the solutions obtained in their various groups
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
