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Singh, Gurjinder
- A Class of the Backward Euler's Method for Initial Value Problems
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Authors
Affiliations
1 University Institute of Engineering and Technology, Panjab University, Chandigarh 160 014, IN
1 University Institute of Engineering and Technology, Panjab University, Chandigarh 160 014, IN
Source
Research Journal of Engineering and Technology, Vol 6, No 1 (2015), Pagination: 207-211Abstract
In this paper, we propose a class of the backward Euler's method for the numerical solution of initial value problems of ordinary differential equations. The proposed class is constructed by considering a suitable interpolating function. The accuracy and stability of the proposed class are considered. A comparison of numerical results obtained by some of the proposed methods and the existing classical backward Euler's method is given which demonstrate that for the problems tested here the proposed methods outperform the existing classical method.Keywords
Ordinary Differential Equations, Initial Value Problems, Stability, Interpolation.
- Using Concept Inventory for Assessing Conceptual Knowledge in the Signals and Systems Course
Abstract Views :46 |
PDF Views:2
Authors
Affiliations
1 Department of Electronics and Communication Engineering, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, IN
2 Department of Psychology, St. Mary MacKillop College, ACT, AU
1 Department of Electronics and Communication Engineering, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, IN
2 Department of Psychology, St. Mary MacKillop College, ACT, AU
Source
Journal of Engineering Education Transformations, Vol 37, No 1 (2023), Pagination: 41-50Abstract
The engineering schools usually target problem-solving skills in students instead of conceptual development, which is an essential skill for transformation from novice to professional engineer as per the program objective. Improving a student's conceptual knowledge can help students understand a problem better and develop a better solution. Conceptual understanding also assists students in identifying gaps in their problem-solving techniques. This paper attempts to administer a Signal and System Concept Inventory (SSCI) to test the conceptual knowledge of core concepts of signals and systems course and then identify the correlation of post-test scores with the student's performance in the end-term exam. The result shows that the students who scored above 80% in concept inventory also performed outstanding in the end-term examination. The result also indicates that most of the students able solve questions on background mathematics and pole- zero plots but struggled with convolution and Fourier analysis.Keywords
concept inventory, conceptual understanding, assessment, engineering educationReferences
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- Wage, K. E., Buck, J. R., Welch, T. B., & Wright, C. H. G. (2002). Testing and validation of the signals and systems concept inventory. Proceedings of 2002 IEEE 10th Digital Signal Processing Workshop, DSP 2002 and 2nd Signal Processing Education Workshop, SPE 2002, 151-156. https://doi.org/10.1109/DSPWS.2002.1231094
- Wage, Kathleen E., Buck, J. R., & Hjalmarson, M. A. (2006). Analyzing misconceptions using the signals and systems concept inventory and student interviews. 2006 IEEE 12th Digital Signal Processing Workshop and 4th IEEE Signal Processing Education Workshop, 123–128. https://doi.org/10.1109/DSPWS.2006.265451
- Wage, Kathleen E., Buck, J. R., Hjalmarson, M. A., & Nelson, J. K. (2011). Signals and systems assessment: Comparison of responses to multiple choice conceptual questions and open-ended final exam problems. 2011 Digital Signal Processing and Signal Processing Education Meeting, DSP/SPE 2011 - Proceedings, 198 – 203. https:// doi. org/ 10 . 1109 / DSP- SPE.2011.5739211
- Wage, Kathleen E., Buck, J. R., Wright, C. C. H. G., & Welch, T. B. (2005). The signals and systems concept inventory. IEEE Transactions on Education, 48(3), 448–461. https://doi.org/10.1109/TE.2005.849746v