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Relevant bibliographies by topics / Mathematics Calculus

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Academic literature on the topic 'Mathematics Calculus'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2024

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Journal articles on the topic "Mathematics Calculus"

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Cirillo, Michelle. "Humanizing Calculus." Mathematics Teacher 101, no. 1 (August 2007): 23–27. http://dx.doi.org/10.5951/mt.101.1.0023.

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The history and the mathematics used by Newton and Leibniz in their invention of calculus. The exploration of this topic is intended to show students that mathematics is a human invention. Suggestions are made to help teachers incorporate the mathematics and the history into their own lessons.

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Decker, Robert. "Discovering Calculus." Mathematics Teacher 82, no. 7 (October 1989): 558–63. http://dx.doi.org/10.5951/mt.82.7.0558.

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What can you do in a mathematics class when a computer is available that you can't do otherwise? How do you actually incorporate the computer into a mathematics class without rewriting the textbooks? This article addresses these questions by relating my experience using computers in a mathematics class.

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Sadler, Philip, and Gerhard Sonnert. "The Path to College Calculus: The Impact of High School Mathematics Coursework." Journal for Research in Mathematics Education 49, no. 3 (May 2018): 292–329. http://dx.doi.org/10.5951/jresematheduc.49.3.0292.

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This study addresses a longstanding question among high school mathematics teachers and college mathematics professors: Which is the best preparation for college calculus—(a) a high level of mastery of mathematics considered preparatory for calculus (algebra, geometry, precalculus) or (b) taking calculus itself in high school? We used a data set of 6,207 students of 216 professors at 133 randomly selected U.S. colleges and universities, and hierarchical models controlled for differences in demography and background. Mastery of the mathematics considered preparatory for calculus was found to have more than double the impact of taking a high school calculus course on students' later performance in college calculus, on average. However, students with weaker mathematics preparation gained the most from taking high school calculus.

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Nur Dina Meylaila Khasanah and Rina Febriana. "Filosofi Kalkulus dalam Sejarah Matematika." Absis: Mathematics Education Journal 6, no. 1 (June 10, 2024): 43–51. http://dx.doi.org/10.32585/absis.v6i1.4902.

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In Mathematics there are many branches of mathematics, one of which is Calculus. Calculus is often considered a difficult branch of mathematics. However, even so, Calculus is very useful in everyday life, even though we rarely realize this. Calculus greatly contributed to the development of mathematics. Not only mathematics, Calculus also contributes to the field of Physics. Looking at it from a historical perspective, Calculus has a controversial history because there are disputes between its inventors, namely Newton and Leibniz. Apart from the disputing figures, many other figures took part in this branch of Calculus. This calculus originated from the idea of calculating area by the Greek scientist Archimedes, although at that time Archimedes had not given the name calculus but he was the first to introduce the concept of calculus. From century to century, year after year the science of calculus always changes, because figures discover something new. Currently, although there are no new discoveries, the use of Calculus continues to grow from being only studied in universities to high schools. Apart from this, the use of calculus used to be simple, but now it has become more complex.

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Serkan, Christopher G. "The Integration Of Computing Technology Into Undergraduate Mathematics Classes." International Journal for Innovation Education and Research 3, no. 5 (May 31, 2015): 149–62. http://dx.doi.org/10.31686/ijier.vol3.iss5.371.

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This study investigated different calculus professors’ conceptions about mathematics and mathematical learning, calculus teaching with or without the use of computing technology, and the experiences in which those conceptions were grounded. Six college professors were purposefully selected and studied. The results showed the professors’ perceptions of the effects of technology use on pedagogy and students’ learning; their perceptions of barriers and challenges to the adoption and use of technology for teaching and learning calculus; and their experience, knowledge, and motivation for adopting instructional technology that made unique and significant contributions to explaining faculty use of technology for teaching and learning calculus. Some professors were categorically opposed to the use of computing technology in calculus, but others envisioned that computing technology could play a multitude of roles in their calculus classrooms. The more that the calculus professors wanted to focus on real-world applications and wanted students to apply calculus concepts in their academic disciplines, the more they were concerned about their own ability to facilitate such learning and the need to integrate computing technology into calculus. The more that the calculus professors focused on procedural understanding in mathematics and on teacher-centered lessons, the more they were concerned about students misusing computing technology and failing to develop a proper understanding of calculus concepts.

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Madden, Seán P., Olli (Sara) Hume, and Jacqueline S. Booton. "Calculus Saves Lives! Motivating Mathematics." Mathematics Teacher: Learning and Teaching PK-12 114, no. 2 (February 2021): e1-e11. http://dx.doi.org/10.5951/mtlt.2020.0223.

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Mathematics and technology serve the health sciences as demonstrated in this article,cowritten by one of our calculus students. Creating a lesson based on dosing an antibioticallows teachers and students to see the immediate value of high school calculus and technology.

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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 (June 27, 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 students' performance in Calculus. Results revealed that age, gender, SHS strand, enhancement program, and admission scores in English, Mathematics, and Abstract Reasoning correlate with students' Calculus performance. Also, the students who graduated from the SHS strand performed better in Calculus than those who did not. Nonetheless, Calculus student performance is regardless of the type of community, SHS type, and family monthly income. Among the socio-economic correlates, the SHS strand and calculus enhancement program are the main predictors of student performance in Calculus using multiple linear regression. Other significant predictors of Calculus student performance are the students' admission scores in Mathematics and Abstract Reasoning. This means that students who performed well in the Mathematics and Abstract Reasoning admission scores, along with SHS STEM strand enrolment and provision of the Calculus enhancement program, are indicators of students' performance in Calculus, implying the importance of mathematics interventions for the students' performance. Furthermore, an appropriate senior high school strand for college degree program preference is a necessary pre-requisite.

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RODRÍGUEZ PERALTA, María de Lourdes, Juan Salvador NAMBO de LOS SANTOS, and Paula Flora ANICETO VARGAS. "Mathematics in the Classroom: Conceptual Cartography of Differential Calculus." Revista Romaneasca pentru Educatie Multidimensionala 7, no. 2 (December 8, 2015): 47–54. http://dx.doi.org/10.18662/rrem/2015.0702.04.

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Siahaan, Thresia Monika, Eva Pratiwi Pane, Ropinus Sidabutar, and Golda Novatrasio Sauduran. "Development of Integral Calculus Teaching Materials to Improve Mathematical Reasoning Ability of Mathematics Education Students at HKBP Nommensen Pematangsiantar University." Edunesia: Jurnal Ilmiah Pendidikan 4, no. 1 (January 2, 2023): 133–45. http://dx.doi.org/10.51276/edu.v4i1.322.

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Integral is one of the main subjects in the school mathematics curriculum and is the compulsory subject in the Mathematics Education Study Program at HKBP Nommensen Pematangsiantar University, namely the Integral calculus course. Therefore the status of this material is the subject matter for SMA/MK students and students in mathematics education study programs. This study aims to discover how to develop integral calculus to improve the mathematical reasoning abilities of mathematics education students at HKBP Nommensen Pematangsiantar University. Research on the development of integral calculus teaching materials uses the analysis, design, development, implementation, and evaluation stages. Initial and limited field trials were conducted at the Teaching and Education Faculty (FKIP) HKBP University Nommensen Pematangsiantar. The normality analysis of gain (n-gain) in the experimental student class has increased with an average n-gain value of 0.87. Feasibility of Integral Calculus Teaching Materials Integral Calculus obtained percentage values from experts and subjects studied as follows: (1) Post-test scores reached an average of 83 compared to pretest average scores of 48, there was a significant increase. This shows an increase in learning outcomes after using the results of the product development of Integral Calculus teaching materials. Acquisition of the development value of Integral Calculus Teaching Materials has a high level of attractiveness based on the assessment of material/content experts reaching 93.75%; (2) The acquisition of the value of developing Integral Calculus has a high level of attractiveness based on the assessment of design experts getting 86.53%. Also, the importance of developing Integral Calculus has a high level of beauty based on field test assessments reaching 91%.

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Whitworth, R. W., Martin L. Bittinger, and J. Conrad Crown. "Mathematics and Calculus with Applications." Mathematical Gazette 74, no. 468 (June 1990): 178. http://dx.doi.org/10.2307/3619383.

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Dissertations / Theses on the topic "Mathematics Calculus"

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Smith, Michael M. "PRE-CALCULUS CONCEPTS FUNDAMENTAL TO CALCULUS." University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1164048974.

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Moore, Todd. "What calculus do students learn after calculus?" Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14090.

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Doctor of Philosophy
Department of Mathematics
Andrew Bennett
Engineering majors and Mathematics Education majors are two groups that take the basic, core Mathematics classes. Whereas Engineering majors go on to apply this mathematics to real world situations, Mathematics Education majors apply this mathematics to deeper, abstract mathematics. Senior students from each group were interviewed about “function” and “accumulation” to examine any differences in learning between the two groups that may be tied to the use of mathematics in these different contexts. Variation between individuals was found to be greater than variation between the two groups; however, several differences between the two groups were evident. Among these were higher levels of conceptual understanding in Engineering majors as well as higher levels of confidence and willingness to try problems even when they did not necessarily know how to work them.

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Norris, J. R. "Malliavin calculus." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355791.

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Tall, Aliou. "From mathematics in logic to logic in mathematics : Boole and Frege." Thesis, University of York, 2002. http://etheses.whiterose.ac.uk/14163/.

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This project proceeds from the premise that the historical and logical value of Boole's logical calculus and its connection with Frege's logic remain to be recognised. It begins by discussing Gillies' application of Kuhn's concepts to the history oflogic and proposing the use of the concept of research programme as a methodological tool in the historiography oflogic. Then it analyses'the development of mathematical logic from Boole to Frege in terms of overlapping research programmes whilst discussing especially Boole's logical calculus. Two streams of development run through the project: 1. A discussion and appraisal of Boole's research programme in the context of logical debates and the emergence of symbolical algebra in Britain in the nineteenth century, including the improvements which Venn brings to logic as algebra, and the axiomatisation of 'Boolean algebras', which is due to Huntington and Sheffer. 2. An investigation of the particularity of the Fregean research programme, including an analysis ofthe extent to which certain elements of Begriffsschrift are new; and an account of Frege's discussion of Boole which focuses on the domain common to the two formal languages and shows the logical connection between Boole's logical calculus and Frege's. As a result, it is shown that the progress made in mathematical logic stemmed from two continuous and overlapping research programmes: Boole's introduction ofmathematics in logic and Frege's introduction oflogic in mathematics. In particular, Boole is regarded as the grandfather of metamathematics, and Lowenheim's theorem ofl915 is seen as a revival of his research programme.

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Stockham, Ty. "CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/898.

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This study investigates the effects of implementing a remediation program in a high school Advanced Placement Calculus AB course on student class grades and success in passing the AP Calculus AB exam. A voluntary remediation program was designed to help students understand the key concepts and big ideas in beginning Calculus. Over a period of eight years the program was put into practice and data on student participation and achievement was collected. Students who participated in this program were given individualized recitation activities targeting their specific misunderstandings, and then given an opportunity to retest on chapter exams that they had taken prior to remediation. Students were able to improve their scores on the original chapter exams and their grade in the class by demonstrating a greater understanding of the material after participating in the remediation sessions. This process was repeated for all chapter exams given during the academic year. In this study, a data analysis comparing the percent gain, after remediation, in each student’s overall class grade to their AP Calculus AB exam scores was conducted. Additionally, AP Calculus AB exam scores of students enrolled in these classes were compared to AP Calculus AB exam scores globally both pre and post implementation of the remediation program. The results of this study demonstrate that there is a substantial positive correlation between student participation in the remediation program and greater success on the AP Calculus AB exam. The average AP Calculus AB score for the students enrolled in AP Calculus AB during the eight-year period of implementing the remediation program increased by over 9%.

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Stelljes, Scott. "Applications of Stochastic Calculus to Finance." UNF Digital Commons, 2004. http://digitalcommons.unf.edu/etd/267.

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Stochastic Calculus has been applied to the problem of pricing financial derivatives since 1973 when Black and Scholes published their famous paper "The Pricing of Options and Corporate Liabilities" in the Joumal of Political Economy. The purpose of this thesis is to show the mathematical principles underlying the methods applied to finance and to present a new model of the stock price process. As part of this paper, we present proofs of Ito's Formula and Girsanov's Theorem which are frequently used in financial applications. We demonstrate the application of these theorems to calculating the fair price of a European call option. There are two methods that result in the same price: the risk neutral valuation and the Black-Scholes partial differential equation. A new model of the stock price process is presented in Section 4. This model was inspired by the model of Cox and Ross published in 1976. We develop the model such that a martingale measure will exist for the present value of the stock price. We fit data to the traditional geometric Brownian motion model and the new model and compare the resulting prices. The data fit some stocks well, but in some cases the new model provided a better fit. The price of a European call is calculated for both models for several different stocks.

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Bressler, Paul. "Schubert calculus in generalized cohomology." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/67103.

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Lindsay, J. M. "A quantum stochastic calculus." Thesis, University of Nottingham, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356028.

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Stiles, Nancy L. Hathway Robert G. "Graphing calculators and calculus." Normal, Ill. Illinois State University, 1994. http://wwwlib.umi.com/cr/ilstu/fullcit?p9510432.

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Thesis (D.A.)--Illinois State University, 1994.
Title from title page screen, viewed March 31, 2006. Dissertation Committee: Robert G. Hathway (chair), Lynn H. Brown, John A. Dossey, Arnold J. Insel, Patricia H. Klass. Includes bibliographical references (leaves 33-34) and abstract. Also available in print.

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Diepenveen, Emily. "Relational models of the lambda calculus." Thesis, University of Ottawa (Canada), 2008. http://hdl.handle.net/10393/27679.

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In [7], Ehrhard et al. present a model of the untyped lambda calculus built from an object without enough points in a cartesian closed category MRel. This thesis presents the background needed to construct and understand this model. In particular we describe what it means for models to have enough points and exhibit connections between MRel with various categorical models of lambda calculus in the literature. In particular, we are able to relate the graph model to MRel. We also describe connections with various kinds of Kleisli categories arising from comonads and their associated theory.

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Books on the topic "Mathematics Calculus"

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Channon, Sarah. Calculus. Chandni Chowk, Delhi: Global Media, 2009.

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Blank, Brian E. Calculus, multivariable. Emeryville, CA: Key College Pub., 2006.

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Otieno, Onyango. Mathematics: Advanced calculus. Nairobi: University of Nairobi, 1990.

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James, Stewart. Mathematics for calculus. Pacific Grove, Calif: Brooks/Cole, 1989.

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James, Stewart. Mathematics for calculus. 2nd ed. Pacific Grove, Calif: Brooks/Cole Pub., 1993.

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Krantz, Steven G. Calculus Demystified. New York: McGraw-Hill, 2002.

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Dixon, L. C. W., editor, ed. Quasidifferential Calculus. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986.

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Irl, Bivens, and Davis Stephen 1952-, eds. Calculus. 9th ed. Hoboken, NJ: Wiley, 2009.

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Abbott, P. Calculus. Lincolnwood, Ill., U.S.A: NTC Pub. Group, 1992.

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1939-, Wardle M. E., ed. Calculus. 3rd ed. London: Hodder & Stoughton, 1992.

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Book chapters on the topic "Mathematics Calculus"

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Mortensen, Chris. "Calculus." In Inconsistent Mathematics, 43–58. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8453-1_5.

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Dewhurst, Jim. "Calculus." In Business Mathematics, 147–85. London: Macmillan Education UK, 1988. http://dx.doi.org/10.1007/978-1-349-19038-6_9.

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O’Regan, Gerard. "Calculus." In Mathematics in Computing, 247–65. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4534-9_15.

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Buckwell, Geoff. "The calculus." In Mastering Mathematics, 382–94. London: Macmillan Education UK, 1997. http://dx.doi.org/10.1007/978-1-349-14131-9_17.

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Råde, Lennart, and Bertil Westergren. "Multidimensional Calculus." In Mathematics Handbook, 217–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03556-6_10.

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Råde, Lennart, and Bertil Westergren. "Integral Calculus." In Mathematics Handbook, 137–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03556-6_7.

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Mitsotakis, Dimitrios. "Calculus Facts." In Computational Mathematics, 105–24. Boca Raton: Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003287292-4.

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Stillwell, John. "Calculus." In Undergraduate Texts in Mathematics, 123–38. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55193-3_8.

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Stillwell, John. "Calculus." In Undergraduate Texts in Mathematics, 146–69. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9281-1_9.

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Stillwell, John. "Calculus." In Undergraduate Texts in Mathematics, 157–79. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6053-5_9.

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Conference papers on the topic "Mathematics Calculus"

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Sergeyev, Yaroslav D., Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Infinity Computer and Calculus." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790118.

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Prokić, Ivan. "A COMPOSITIONAL ENCODING OF π-CALCULUS INTO Cπ-CALCULUS." In The 9th Conference on Mathematics in Engineering: Theory and Applications. Faculty of Technical Sciences, University of Novi Sad, 2024. http://dx.doi.org/10.24867/meta.2024.20.

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Recently, a fragment of the π-calculus, named Cπ-calculus, has been introduced as a model for confidential name passing in concurrent systems. The key feature of the Cπ-calculus is disabling forwarding in name passing. It has been shown that even being a fragment of the πcalculus, it is possible to recover the full π-expressivity in this fragment. This was done via an encoding of π-processes into the Cπ-processes and showing that such an encoding satisfies some desired properties. However, one property this encoding does not satisfy is compositionality. In this paper, we propose a new encoding that satisfies this property. We evaluate the encoding with an example and leave the proof of operational correspondence for future work.

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Crouzeix, Michel, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Functional Calculus and Numerical Analysis." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636662.

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Dimiev, Stancho, Peter Stoev, and Stanislava Stoilova. "Matrix anticirculant calculus." In 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. AIP, 2013. http://dx.doi.org/10.1063/1.4854783.

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Septian, Ari, Nia Jusniani, Erma Monariska, Guntur Maulana Muhammad, and Rani Sugiarni. "Mathematical representation ability in integral calculus." In PROCEEDINGS OF THE 3RD AHMAD DAHLAN INTERNATIONAL CONFERENCE ON MATHEMATICS AND MATHEMATICS EDUCATION 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0140292.

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Guseinov, Gusein Sh. "Discrete Calculus of Variations." In GLOBAL ANALYSIS AND APPLIED MATHEMATICS: International Workshop on Global Analysis. AIP, 2004. http://dx.doi.org/10.1063/1.1814727.

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Skwara, Urszula, José Martins, Peyman Ghaffari, Maíra Aguiar, João Boto, and Nico Stollenwerk. "Applications of fractional calculus to epidemiological models." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756403.

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Wang, Xiuyan, and Henan Pei. "Analysis of Teaching Strategies for Higher Mathematics Calculus." In Proceedings of the 2018 International Workshop on Education Reform and Social Sciences (ERSS 2018). Paris, France: Atlantis Press, 2019. http://dx.doi.org/10.2991/erss-18.2019.148.

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Khairani, Mukhni, and Faizah Qurrata Aini. "Problems Analysis of Calculus Learning in Higher Educations." In Proceedings of the 2nd International Conference on Mathematics and Mathematics Education 2018 (ICM2E 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/icm2e-18.2018.19.

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Icard, Thomas, Lawrence Moss, and William Tune. "A Monotonicity Calculus and Its Completeness." In Proceedings of the 15th Meeting on the Mathematics of Language. Stroudsburg, PA, USA: Association for Computational Linguistics, 2017. http://dx.doi.org/10.18653/v1/w17-3408.

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Reports on the topic "Mathematics Calculus"

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Zhylenko, Tetyana I. Auto Checker of Higher Mathematics - an element of mobile cloud education. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3895.

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We analyzed the main cloud services in the article. We also described the main contribution of mobile cloud technology to education. The article presents the author’s development from the field of mobile cloud education in higher mathematics. The design architecture of this application is described in detail: QR generator and scanner, authorization, sending tasks. Block diagrams and images are presented that clearly demonstrate the operation of the application. We showed an example of solving the integral from the section of integral calculus for higher mathematics and showed how to download the answer in the form of a QR code and find out whether it is correct or incorrect (this can be seen by the color on the smart phone screen). It is shown how this technology helps the teacher save time for checking assignments completed by students. This confirms its effectiveness. Such an application provides students and teachers with the ability to store and process data on a cloud computing platform.

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Astafieva, Mariia M., Oleksii B. Zhyltsov, and Volodymyr V. Proshkin. E-learning as a mean of forming students' mathematical competence in a research-oriented educational process. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3896.

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The article is devoted to the substantiation of approaches to the effective use of advantages and minimization of disadvantages and losses of e-learning as a mean of forming mathematical competence of students in the conditions of research-oriented educational process. As a result of the ascertaining experiment, e-learning has certain disadvantages besides its obvious advantages (adaptability, possibility of individualization, absence of geographical barriers, ensuring social equality, unlimited number of listeners, etc.). However, the nature of these drawbacks lies not as much in the plane of opportunity itself as in the ability to use them effectively. On the example of the e-learning course (ELC) “Mathematical Analysis” (Calculus) of Borys Grinchenko Kyiv University, which is developed on the basis of the Moodle platform, didactic and methodical approaches to content preparation and organization of activities in the ELC in mathematics are offered. Given the specifics of mathematics as a discipline, the possibility of using ELCs to support the traditional learning process with full-time learning is revealed, introducing a partially mixed (combined) model. It is emphasized that effective formation of mathematical competence of students by means of e-learning is possible only in the conditions of research-oriented educational environment with active and concerned participation of students and partnership interaction. The prospect of further research in the analysis of e-learning opportunities for the formation of students’ mathematical competence, in particular, research and investigation tools, and the development of recommendations for the advanced training programs of teachers of mathematical disciplines of universities are outlined.

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, September 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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J. Squire, J. Burby and H. Qin. VEST: Abstract Vector Calculus Simplification in Mathematica. Office of Scientific and Technical Information (OSTI), March 2013. http://dx.doi.org/10.2172/1073490.

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