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Journal articles on the topic 'Engineering Calculus'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 July 2025

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1

Sikora, Ryszard, and Stanislaw Pawłowski. "Fractional derivatives and the laws of electrical engineering." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 4 (2018): 1384–91. http://dx.doi.org/10.1108/compel-08-2017-0347.

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Purpose This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories. Design/methodology/approach The analysis of mathematical notation is used for physical phenomena description. The analysis aims to challenge or prove the correctness of applied notation. Findings Fractional calculus is sometimes applied correctly and sometimes erroneously in electrical engineering. Originality/value This paper provides guidelines regarding correct application of fractional calculus in description of electrical circuits’ phenomena. It can

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Savita, Sharma. "New Advancements in the Applications of Fractional Calculus in Science and Engineering." International Journal of Trend in Scientific Research and Development 1, no. 6 (2017): 471–76. https://doi.org/10.31142/ijtsrd3579.

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Fractional Calculus is a study of an extension of derivatives and integrals to non integer orders and also linking its origins with classical integral and di erential calculus. The interesting part of this subject is that fractional derivatives and integrals are not a local or point property or quantity. In some few years considerable interest in fractional calculus has been seen by the applications it finds in various areas of engineering, science, applied mathematics, finance and bio engineering as possibly it includes fractal phenomena too. This paper deals with the researchers of engineeri

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Kenyon, Catherine M., and Lisa C. Benson. "Assessing What We Value: Engineering Students’ Perceptions of Calculus Exams and Connections to their Future in Engineering." Journal of Research in Science, Mathematics and Technology Education 8, SI (2025): 403–26. https://doi.org/10.31756/jrsmte.4118si.

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Assessments of learning should showcase what knowledge is valued in a field; however, the purpose and value of assessments may differ. This research explores how first-year engineering (FYE) students perceive the purpose of assessments in their Calculus I course and how those perceptions are connected to their future in engineering. This mixed methods study involves qualitative data (survey and interviews) and quantitative data (surveys) with FYE students enrolled in a Calculus I course. Surveys were distributed to all students in the course while interview participants came from a homogenous

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Shamsuddin, Maisurah, Siti Balqis Mahlan, and Norazah Umar. "Students Achievement in Mathematics: The Relationship between Performance in Calculus I and Calculus II." Journal of Computing Research and Innovation 10, no. 1 (2025): 243–54. https://doi.org/10.24191/jcrinn.v10i1.458.

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Calculus is among the most important branches of mathematics that is widely used in various fields of science and engineering. It explores changes using basic ideas, including integration, differentiation and limitation. The goal of advanced calculus is to take the basic ideas of calculus to a deeper and more complex level. Basic and advanced calculus have a supportive relationship where learning increasingly difficult problems in advanced calculus requires a solid understanding of basic calculus concepts. Therefore, this study attempts to determine whether the assessment results of engineerin

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Zhao, Yan Chun. "Design and Application of Digital Filter Based on Calculus Computing Concept." Applied Mechanics and Materials 513-517 (February 2014): 3151–55. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.3151.

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Calculus has been widely applied in engineering fields. The development of Integer order calculus theory is more mature in the project which can obtain fractional calculus theory through the promotion of integration order. It extends the flexibility of calculation and achieves the engineering analysis of multi-degree of freedom. According to fractional calculus features and the characteristics of fractional calculus, this paper treats the frequency domain as the object of study and gives the fractional calculus definition of the frequency characteristics. It also designs the mathematical model

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Silva, Danillo Guimarães Cassiano da, Roberta Veloso Garcia, Estaner Claro Romão, and Juan Fernando Zapata Zapata. "Teaching methodologies in calculus for engineering: a quantitative analysis." Caderno Pedagógico 21, no. 13 (2024): e12282. https://doi.org/10.54033/cadpedv21n13-300.

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This research quantitatively analyzes worldwide university studies on teaching Differential and Integral Calculus, comparing them with the challenging Brazilian context, which historically faces high rates of failure. Following a Systematic Literature Review structure, 122 documents from different databases (Capes, Scopus, Web of Science, and Science Direct) were reviewed. The focus was placed on worldwide teaching methods for differential and integral calculus, with defined filters and inclusion/exclusion criteria for relevance. According to the results, there is a global rise in alternative

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Saad, Siti Mariam, Siti Nurleena Abu Mansor, Ahmad Rashidi Azudin, and Nurul Hamidah Mohd Hamdi. "Empowering Students’ Comprehension in Calculus with eCALculator." e-Jurnal Penyelidikan dan Inovasi 11, no. 1 (2024): 16–27. http://dx.doi.org/10.53840/ejpi.v11i1.174.

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Calculus is a fundamental subject in STEM (Science, Technology, Engineering, and Mathematics) study programs. Despite the introduction of basic calculus concepts as early as secondary school, many undergraduate students still encounter difficulties in comprehending and solving differentiation and integration problems. As calculus is fundamental to fields like science and engineering, possessing a solid mathematical and calculus foundation becomes essential for STEM students. Struggling to grasp these fundamental concepts not only impacts performance in calculus but also poses challenges when t

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Gao, Yuehong, Xin Zhang, and Hongwen Yang. "Network Calculus Theory and Application: A New Graduate Course for Engineering Students." Journal of Educational Research Progress 4, no. 1 (2024): 23–31. http://dx.doi.org/10.55375/joerp.2024.4.2.

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With the development of modern networks, the quality of service guarantee has become even more important than before. However, various new types of traffic and heterogeneous network architecture make it quite challenging to evaluate the quality of service, such as delay and reliability. Therefore, a novel analysis method is needed to solve this situation. Network calculus is a theory used to analyze the queueing problems in networks, which is the main content to be taught in this graduate course. Before network calculus theory is introduced, the classical queueing theory will be taught. Then,

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Bailey, Joseph D., Jessica Claridge, and Alexander Partner. "Investigating students’ perception of the importance of calculus: a cross-discipline comparison to inform module development." MSOR Connections 22, no. 1 (2024): 5–27. http://dx.doi.org/10.21100/msor.v22i1.1457.

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This study compares perceptions of calculus across disciplines in university education. As highlighted by Rasmussen et al. (2014) further work is needed to understand the “relationship between calculus and the client disciplines of engineering, physics, biology, and chemistry”, with calculus courses often designed from the perspective of Mathematicians. Here, we aim to give insight of when it is appropriate to group such disciplines together for taught calculus modules in Higher Education (HE).This short study assesses how students perceive the importance of calculus across disciplines includi

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Tenreiro Machado, J. A., Manuel F. Silva, Ramiro S. Barbosa, et al. "Some Applications of Fractional Calculus in Engineering." Mathematical Problems in Engineering 2010 (2010): 1–34. http://dx.doi.org/10.1155/2010/639801.

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Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses FC in the study of system dynamics and control. In this perspective, this paper investigates the use of FC in the fields of co

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Chaplin, J. Alan, and Ian S. Murphy. "Advanced Calculus for Engineering and Science Student." Statistician 36, no. 4 (1987): 429. http://dx.doi.org/10.2307/2348861.

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Sharma, Savita. "New Advancements in the Applications of Fractional Calculus in Science and Engineering." International Journal of Trend in Scientific Research and Development Volume-1, Issue-6 (2017): 471–76. http://dx.doi.org/10.31142/ijtsrd3579.

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Khubalkar, Swapnil, Anjali Junghare, Mohan Aware, and Shantanu Das. "Unique fractional calculus engineering laboratory for learning and research." International Journal of Electrical Engineering & Education 57, no. 1 (2018): 3–23. http://dx.doi.org/10.1177/0020720918799509.

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In this paper, a novel prototype laboratory is presented for engineering education, in which experiments are based on the fractional calculus. The prototypes of analog and digital fractional-order proportional-integral-derivative (PID) controllers are built in the laboratory. These fractional-order PID controllers are applied to linear and nonlinear plants to demonstrate the effectiveness of fractional-order calculus in real time. These experiments are designed, developed, and implemented on the analog and digital platforms. These controllers are integrated to control the DC motor, brushless D

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Balyuba, I. G., A. V. Naidysh, E. V. Konopatskiy, S. I. Rotkov, and A. A. Bezditnyi. "THEORETICAL FOUNDATIONS OF THE POINT CALCULUS AS A MATHEMATICAL APPARATUS FOR GEOMETRIC AND COMPUTER MODELING." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 224 (February 2023): 3–15. http://dx.doi.org/10.14489/vkit.2023.02.pp.003-015.

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The purpose of the article is to acquaint the reader with the new mathematical apparatus – point calculus, which was developed for solving engineering and scientific problems by the leading scientists of the Melitopol School of Applied Geometry and continues its active development in the works of Russian and Ukrainian scientists-geometers. The article presents the fundamental definitions and terms, basic methods, metrics, fundamental theorems of point calculus, shows the principles of parametrization of a straight line, plane and three-dimensional space in point calculus. Possibilities of poin

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Ellis, Brittney, Sean Larsen, Matthew Voigt, and Kristen Vroom. "Where Calculus and Engineering Converge: an Analysis of Curricular Change in Calculus for Engineers." International Journal of Research in Undergraduate Mathematics Education 7, no. 2 (2021): 379–99. http://dx.doi.org/10.1007/s40753-020-00130-9.

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LIU, Jihong, Eiji ARAI, and Masanori IGOSHI. "Segment Calculus and Region Calculus: An Engineering Approach to Reasoning about Time and Space." Transactions of the Japan Society of Mechanical Engineers Series C 62, no. 597 (1996): 2050–57. http://dx.doi.org/10.1299/kikaic.62.2050.

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López-Díaz, María Teresa, and Marta Peña. "Improving Calculus Curriculum in Engineering Degrees: Implementation of Technological Applications." Mathematics 10, no. 3 (2022): 341. http://dx.doi.org/10.3390/math10030341.

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The teaching of mathematics has always concerned all the professionals involved in engineering degrees. Curently students have less interest in these studies, what has caused an increase of this concern. The lack of awareness of students about the significance of mathematics in their careers, provoke the decrease of undergraduate students’ motivation, which derives in a low interest in engineering degrees. The aim of this work is that engineering students achieve a greater motivation and involvement in first academic courses, through the implementation of real and technological applications re

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Denman, Harry H., Paul W. Dueweke, and Robert G. Hoffmann. "Calculus Solutions." Science News 133, no. 3 (1988): 35. http://dx.doi.org/10.2307/3972226.

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Paskal, Tom, and C. Brownlee. "Alcohol Calculus." Science News 169, no. 2 (2006): 31. http://dx.doi.org/10.2307/3982380.

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Enrique, Chicurel-Uziel. "Unit Step and Impulse Function Equations to Simplify the Solution of Engineering Problems." Journal of Information Sciences and Computing Technologies 7, no. 1 (2018): 654–66. https://doi.org/10.5281/zenodo.3968151.

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A unit step equation is proposed that when differentiated by elementary calculus yields the impulse function and when the resulting impulse function equation is integrated by elementary calculus yields the proposed unit step equation. Using these two equations, a two stage methodology is presented for the simplification of the solution of problems involving the impulse function.

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Farida, Anisatul. "Contribution of calculus 1 and calculus 2 skills to learning outcomes in machine and artificial intelligence courses." LINEAR: Journal of Mathematics Education 6, no. 1 (2025): 50–61. https://doi.org/10.32332/63vq5m85.

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This study investigates the influence of students' abilities in Calculus I and Calculus II on their academic performance in the Machine and Artificial Intelligence course. The research explores explicitly three aspects: (1) the individual contribution of Calculus I, (2) the individual contribution of Calculus II, and (3) the combined effect of both on learning outcomes. Using an associative quantitative method, the study involved 35 first-semester Informatics Engineering students at Duta Bangsa University, selected through quota sampling. Data were gathered through tests and documentation and

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., Gunarto. "PELATIHAN MENGGUNAKAN SOFTWARE MATHCAD BAGI MAHASISWA PROGRAM STUDI TEKNIK MESIN UNIVERSITAS MUHAMMADIYAH PONTIANAK." Jurnal Buletin Al-Ribaath 15, no. 1 (2018): 1. http://dx.doi.org/10.29406/br.v15i1.1120.

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The purpose of this community service was to train students of Mechanical Engineering Program University of Muhammadiyah Pontianak in using MATHCAD software. This training aims to support the courses of Basic Calculus, Advanced Calculus, Basic Engineering Mathematics, Advanced Engineering Mathematics and to improve the ability of Mechanical Engineering students about software MATHCAD. The program included preparation, training, and reporting. As the program ended, understanding of training participants in using this software is able to apply independently by direct practice with MATHCAD softwa

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Failla, Giuseppe, and Massimiliano Zingales. "Advanced materials modelling via fractional calculus: challenges and perspectives." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2172 (2020): 20200050. http://dx.doi.org/10.1098/rsta.2020.0050.

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Fractional calculus is now a well-established tool in engineering science, with very promising applications in materials modelling. Indeed, several studies have shown that fractional operators can successfully describe complex long-memory and multiscale phenomena in materials, which can hardly be captured by standard mathematical approaches as, for instance, classical differential calculus. Furthermore, fractional calculus has recently proved to be an excellent framework for modelling non-conventional fractal and non-local media, opening valuable prospects on future engineered materials. The t

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Desriyati, Welly, and Hanifatul Rahmi. "Analisis terhadap Kesulitan Belajar Mahasiswa Teknik Informatika pada Mata Kuliah Kalkulus." Logaritma : Jurnal Ilmu-ilmu Pendidikan dan Sains 9, no. 01 (2021): 69–84. http://dx.doi.org/10.24952/logaritma.v9i01.2804.

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This article was a qualitative research with using phenomenology approach. The researchers were the main research instruments in this study in order to analyze the type of informatics engineering studenet’s learning obstacles in calculus subject, its causative factors and the ways to overcome the students’ learning obstacles. Researcher as the lecturer used test, questionnaire, observation sheet and interview technique to collect the data. The subject of this study was 47 students of informatics engineering study programme, while the object of this study was the students’ learning obstacles. A

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Dr., Ravi Kumar Jain, and Sharma Reena. "An In-Depth Study of Vector Calculus and Its Applications." Advanced Innovations in Computer Programming Languages 7, no. 2 (2025): 1–3. https://doi.org/10.5281/zenodo.14998079.

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<em>Vector calculus is a fundamental branch of mathematics that deals with vector fields and their applications in physics, engineering, and computer science. This paper explores the core concepts of vector calculus, including differentiation and integration of vector fields, and essential theorems such as Green’s theorem, Stokes' theorem, and Gauss’s divergence theorem. Additionally, we examine its real-world applications and discuss recent advancements in the field, including computational techniques and numerical methods for solving complex vector field problems.</em>

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Leomarich F. Casinillo and Ma. Rachel Kim L. Aure. "Econometric Evidence on Academic Performance in Basic Calculus of Science, Technology, Engineering and Mathematics (STEM) Senior High Students." Journal of Educational and Human Resource Development (JEHRD) 6 (December 28, 2018): 238–49. http://dx.doi.org/10.61569/8qd7sc65.

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Low academic performance in high school mathematics is a deeply-rooted concern in the Philippine education system. With the implementation of the K to 12 Education program, this has drawn more concern in the academe, most especially in mathematics. Basic Calculus is a mathematics course that usually serves as requisite to different collegiate courses which may hopefully be useful in their respective major fields. This study was conducted to evaluate the different factors affecting the academic performance in Basic Calculus of all senior high schools enrolled in SY 2017-2018. Using a mixed-meth

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Tang, Howe Eng, Nor Hazizah Julaihi, and Li Li Voon. "Attitudes and perceptions of university students towards calculus." Social and Management Research Journal 10, no. 1 (2013): 1. http://dx.doi.org/10.24191/smrj.v10i1.5220.

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This study seeks to examine university students’ attitudes and their perceptions on calculus education. Lecturers’ suggestions to remedy the current situation of calculus learning were also investigated. The instruments of this study consisted of three sets of questionnaires, aimed at collecting data regarding students’ attitudes and perceptions on calculus and lecturers’ suggestions. The respondents consisted of 278 full-time diploma students in a public university in Malaysia. The findings indicate that the students’ attitudes towards the Course of calculus according to gender were insignifi

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Aftab, Muhammad Nasim, Saad Ihsan Butt, and Youngsoo Seol. "Fundamentals of Dual Basic Symmetric Quantum Calculus and Its Fractional Perspectives." Fractal and Fractional 9, no. 4 (2025): 237. https://doi.org/10.3390/fractalfract9040237.

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Taylor expansion is a remarkable tool with broad applications in analysis, science, engineering, and mathematics. In this manuscript, we derive a proof of generalized Taylor expansion for polynomials and write its particular case in symmetric quantum calculus. In addition, we define a novel type of calculus that is called symmetric (p,q)- or dual basic symmetric quantum calculus. Moreover, we derive a symmetric (p,q)-Taylor expansion for polynomials based on this calculus. After that, we investigate Taylor’s formulae through an example. Furthermore, we define symmetric definite (p,q)-integral

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Ali, Mohd Farman, Manoj Sharma, and Renu Jain. "An Application of Fractional Calculus in Electrical Engineering." Advanced Engineering Technology and Application 5, no. 2 (2016): 41–45. http://dx.doi.org/10.18576/aeta/050204.

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Weurlander, Maria, Mikael Cronhjort, and Lars Filipsson. "Engineering students’ experiences of interactive teaching in calculus." Higher Education Research & Development 36, no. 4 (2016): 852–65. http://dx.doi.org/10.1080/07294360.2016.1238880.

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Gutiérrez, Ricardo Enrique, João Maurício Rosário, and José Tenreiro Machado. "Fractional Order Calculus: Basic Concepts and Engineering Applications." Mathematical Problems in Engineering 2010 (2010): 1–19. http://dx.doi.org/10.1155/2010/375858.

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The fractional order calculus (FOC) is as old as the integer one although up to recently its application was exclusively in mathematics. Many real systems are better described with FOC differential equations as it is a well-suited tool to analyze problems of fractal dimension, with long-term “memory” and chaotic behavior. Those characteristics have attracted the engineers' interest in the latter years, and now it is a tool used in almost every area of science. This paper introduces the fundamentals of the FOC and some applications in systems' identification, control, mechatronics, and robotics

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David, S. A., J. L. Linares, and E. M. J. A. Pallone. "Fractional order calculus: historical apologia, basic concepts and some applications." Revista Brasileira de Ensino de Física 33, no. 4 (2011): 4302. http://dx.doi.org/10.1590/s1806-11172011000400002.

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Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus. However, until recently, it has been investigated mainly from a mathematical point of view. Advances in the field of fractals have revealed its subtle relationships with fractional calculus. Nonetheless, fractional calculus is generally excluded from standard courses in mathematics, partly because many mathematicians are unfamiliar with its nature and its applications. This area has emerged as a useful tool among

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Chii-Huei, Yu. "A New Theory of Calculus Based on Riemann-Stieltjes Integral." International Journal of Novel Research in Computer Science and Software Engineering 12, no. 1 (2025): 37–43. https://doi.org/10.5281/zenodo.14753511.

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<strong>Abstract:</strong> In this paper, we establish a new theory of calculus. Based on Riemann-Stieltjes integral, a new definition of derivative is obtained, and we study some important properties of this new calculus, such as product rule, quotient rule, chain rule, and fundamental theorem of calculus. In fact, our results are extensions of the results of ordinary calculus. <strong>Keywords:</strong> New theory of calculus, Riemann-Stieltjes integral, product rule, quotient rule, chain rule, fundamental theorem of calculus. <strong>Title:</strong> A New Theory of Calculus Based on Riemann

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Shams, Mudassir, and Bruno Carpentieri. "Q-Analogues of Parallel Numerical Scheme Based on Neural Networks and Their Engineering Applications." Applied Sciences 14, no. 4 (2024): 1540. http://dx.doi.org/10.3390/app14041540.

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Quantum calculus can provide new insights into the nonlinear behaviour of functions and equations, addressing problems that may be difficult to tackle by classical calculus due to high nonlinearity. Iterative methods for solving nonlinear equations can benefit greatly from the mathematical theory and tools provided by quantum calculus, e.g., using the concept of q-derivatives, which extends beyond classical derivatives. In this paper, we develop parallel numerical root-finding algorithms that approximate all distinct roots of nonlinear equations by utilizing q-analogies of the function derivat

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Qian, Jiaxuan. "The Common Techniques and Applications in Calculus." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 445–51. http://dx.doi.org/10.54097/mwpva806.

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Calculus is a pivotal subject in advanced mathematics since it is indispensable in various areas nowadays. It has many applications in other subjects like physics engineering and social science. However, compared with elementary mathematics, calculus is not easy to learn and integral is not easy to calculate because it is usually challenging to find out the antiderivative or the integral does not have a closed form. Thus, it is necessary to learn at least the basic techniques in calculus, which can help simplify the difficulty to solve the integrals in some extent. In this paper, the author wi

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Hose, Dominik, and Michael Hanss. "Possibilistic calculus as a conservative counterpart to probabilistic calculus." Mechanical Systems and Signal Processing 133 (November 2019): 106290. http://dx.doi.org/10.1016/j.ymssp.2019.106290.

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Lucier, Bradley. "How I First Heard About Calculus." Journal of Humanistic Mathematics 11, no. 1 (2021): 364–68. http://dx.doi.org/10.5642/jhummath.202101.18.

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Eaton, Carrie Diaz, and Hannah Callender Highlander. "The Case for Biocalculus: Design, Retention, and Student Performance." CBE—Life Sciences Education 16, no. 2 (2017): ar25. http://dx.doi.org/10.1187/cbe.15-04-0096.

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Calculus is one of the primary avenues for initial quantitative training of students in all science, technology, engineering, and mathematics fields, but life science students have been found to underperform in the traditional calculus setting. As a result, and because of perceived lack of its contribution to the understanding of biology, calculus is being actively cut from biology program requirements at many institutions. Here, we present an alternative: a model for learning mathematics that sees the partner disciplines as crucial to student success. We equip faculty with information to enga

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Agua, Breix Michael Grande, Merlyn Lingo, and Junar Lingo. "A multiple linear regression model of students’ performance in calculus in the new normal." Journal of Research, Policy & Practice of Teachers & Teacher Education 13, no. 1 (2023): 103–17. http://dx.doi.org/10.37134/jrpptte.vol13.1.8.2023.

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The Philippines launched an educational reform in 2012, adding two years of senior high schools (SHS) with strands that aim to prepare students for work or pursue college degrees. The STEM strand was designed for those wishing to enroll in Science, Technology, Engineering, and Mathematics-related degree programs. This study investigates the performance in Calculus and the University admission examination of a random sample of 234 enrolled students for the First Semester of 2021-2022 at Caraga State University taking Differential Calculus. It tries to identify the socio-economic predictors of s

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Chii-Huei, Yu. "A Study of Two Fractional Integral Problems Based on Jumarie Type of Riemann-Liouville Fractional Calculus." International Journal of Civil and Structural Engineering Research 12, no. 2 (2024): 15–19. https://doi.org/10.5281/zenodo.13982262.

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<strong>Abstract:</strong> In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we find the exact solutions of two fractional integrals. Integration by parts for fractional calculus and a new multiplication of fractional analytic functions play important roles in this article. In fact, our results are generalizations of classical calculus results.  <strong>Keywords:</strong> Jumarie type of R-L fractional calculus, fractional integrals, integration by parts for fractional calculus, new multiplication, fractional analytic functions. <strong>Title:</strong> A

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Ríos Obregón, Jorge Manuel, and Regla María Bernal Gutiérrez. "ESTRATEGIA DIDÁCTICA PARA LA ENSEÑANZA DEL CÁLCULO INFINITESIMAL EN LAS CARRERAS DE INGENIERÍA." Revista Cognosis. ISSN 2588-0578 5 (October 2, 2020): 37. http://dx.doi.org/10.33936/cognosis.v5i0.2703.

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Dada la necesidad de la mejora continua del proceso de enseñanza aprendizaje se propone una estrategia didáctica para el perfeccionamiento de la enseñanza del cálculo infinitesimal en las carreras de ingeniería la cual permitirá que los estudiantes logren una adecuada preparación en esta disciplina matemática. La estrategia se sustentada en un modelo para la dinámica del proceso de enseñanza aprendizaje del Cálculo Infinitesimal en las carreras de ingeniería centrado en la sistematización formativa que dinamiza la contradicción entre la lógica formal del Cálculo Infinitesimal y la lógica de ap

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Valderrama Arteaga, Jonhson, César Gonzales Chiclayo, María Medina Gutierrez, et al. "Influence of the academic reinforcement workshop to improve the learning of integral calculation in second cycle’s students of systems engineering and computing of the faculty of sciences semester 2022-II unasam-Huaraz, 2023 [Influencia del taller de refuerzo académico para mejorar el aprendizaje del cálculo integral en estudiantes de segundo ciclo de ingeniería de sistemas y computación de la facultad de ciencias semestre 2022-II-unasam-Huaraz, 2023]." Journal of Global Education Sciences 6, no. 1 (2024): 1–11. http://dx.doi.org/10.32829/gesj.v6i1.198.

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The objective of the research is determining the influence of the Academic Reinforcement Workshop on improving the learning of integral calculus in students of the second cycle of Systems Engineering and Computer Science of the Faculty of Sciences, semester 2022-II- UNASAM -Huaraz, 2023. The research is applied type, quantitative method and pre-experimental design; Two instruments were applied: Pre test and post test validated by two experts, applied to a sample of 26 students. The variables analyzed Workshop on academic reinforcement and learning of integral calculus, in whose research an aff

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Hansen, Gary W., and James V. Hansen. "Human performance in relational algebra, tuple calculus, and domain calculus." International Journal of Man-Machine Studies 29, no. 5 (1988): 503–16. http://dx.doi.org/10.1016/s0020-7373(88)80009-9.

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Anggraini, Tesi, Wardani Rahayu, and Makmuri Makmuri. "The Positive Impact Of Virtual Class-Based On Calculus II Teaching Materials In Improving The Conceptual Understanding Of Informatics Engineering Students." JPI (Jurnal Pendidikan Indonesia) 9, no. 3 (2020): 460. http://dx.doi.org/10.23887/jpi-undiksha.v9i3.27723.

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This research aims to analyze the validity of Calculus II teaching materials based on virtual classes; the effectiveness of teaching materials that have been designed towards improving students’ understanding of mathematical concepts. The method used in this research is ADDIE model (Analysis, Design, Development, Implementation and Evaluation). The research subjects were students of Informatics Engineering UNINDRA 4th semester who took Calculus II courses consisting 2 (two) classes, namely the experimental class consisting of 14 students and 15 students of the control class. Instruments and da

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Chii-Huei, Yu. "A New Definition of Fractional Calculus." International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE) 10, no. 3 (2023): 5–9. https://doi.org/10.5281/zenodo.8314984.

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<strong>Abstract:</strong> In this paper, based on a new multiplication of fractional analytic functions, we define a new fractional calculus. Moreover, we provide some properties of this new fractional calculus. In fact, our results are generalizations of classical calculus results. <strong>Keywords:</strong> New multiplication, fractional analytic functions, new fractional calculus. <strong>Title:</strong> A New Definition of Fractional Calculus <strong>Author:</strong> Chii-Huei Yu <strong>International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE)</strong>

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Huang, Guo, Hong-ying Qin, Qingli Chen, Zhanzhan Shi, Shan Jiang, and Chenying Huang. "Research on Application of Fractional Calculus Operator in Image Underlying Processing." Fractal and Fractional 8, no. 1 (2024): 37. http://dx.doi.org/10.3390/fractalfract8010037.

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Fractional calculus extends traditional, integer-based calculus to include non-integer orders, offering a powerful tool for a range of engineering applications, including image processing. This work delves into the utility of fractional calculus in two crucial aspects of image processing: image enhancement and denoising. We explore the foundational theories of fractional calculus together with its amplitude–frequency characteristics. Our focus is on the effectiveness of fractional differential operators in enhancing image features and reducing noise. Experimental results reveal that fractional

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Jungic, Veselin, Deborah Kent, and Petra Menz. "On Online Assignments in a Calculus Class." Journal of University Teaching and Learning Practice 9, no. 1 (2012): 24–37. http://dx.doi.org/10.53761/1.9.1.3.

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In this paper, we describe our experience with the creation and utilization of online assignments for several calculus classes at Simon Fraser University (SFU). We present our findings regarding available software by considering the needs and perspectives of the instructors, students, and administrators. We provide a list of questions that guide an instructor in choosing online assignment problems and a list of benefits that are the natural outcome of this endeavor. We analyze survey data from our science/ engineering calculus as well as social science calculus courses over the span of five ye

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Li, Ming, and Wei Zhao. "Essay on Fractional Riemann-Liouville Integral Operator versus Mikusinski’s." Mathematical Problems in Engineering 2013 (2013): 1–3. http://dx.doi.org/10.1155/2013/635412.

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This paper presents the representation of the fractional Riemann-Liouville integral by using the Mikusinski operators. The Mikusinski operators discussed in the paper may yet provide a new view to describe and study the fractional Riemann-Liouville integral operator. The present result may be useful for applying the Mikusinski operational calculus to the study of fractional calculus in mathematics and to the theory of filters of fractional order in engineering.

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Mohd Harithuddin, Ahmad Salahuddin, and Adi Azriff Basri. "Contextual Teaching of Engineering Mathematics to Improve Levels of Accuracy and Confidence in COVID-19 Knowledge." International Journal of Advanced Research in Future Ready Learning and Education 38, no. 1 (2025): 23–36. https://doi.org/10.37934/frle.38.1.2336.

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Since late March 2020, reports about the COVID-19 pandemic flooded the daily news. However, most of the epidemiological terms of used in the mass media were new to most people other than the medical circles. Engineering students, though not included in the circles, have to be equipped with the ability to apply reasoning informed by knowledge to assess public health issues like this from the context of "The Engineer and Society". This paper reports a way of teaching the concepts of calculus using the compartmental modelling - the SIR (Susceptible, Infectious, and Removed) model - of which some

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Ozturk, Okkes. "Discrete fractional solutions of radial Schrödinger equation for Makarov potential." Infinite Dimensional Analysis, Quantum Probability and Related Topics 20, no. 03 (2017): 1750019. http://dx.doi.org/10.1142/s0219025717500199.

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The fractional calculus that is a theory of integral and derivative with arbitrary order is an important subject of applied mathematics. This theory has extensive usage fields in science and engineering. Discrete mathematics, the study of finite structures, is one of the fastest growing areas in mathematics and optimization. Recently, many considerable scientific works were published on fractional calculus and discrete fractional calculus (DFC). The purpose of this paper is to obtain discrete fractional solutions of radial Schrödinger equation for Makarov potential by means of nabla DFC operat

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