The author shows the possibility to apply the basic idea of integral calculus with a view to practical use in lectures on mathematical analysis and practical training in active and interactive modes. He states that this will allow introducing the mathematical analysis as a single coherent section of higher mathematics, which, in turn, should facilitate understanding of the subject, contribute to a new perspective on it and, ultimately, improve the students’ intellectual level.
Keywords: math teaching; integral; calculus; area; interface; unifying idea; community; particular.
References
- Fikhtengol’ts G. M. Kurs differentsial’nogo i integral’nogo ischisleniya (Differential and Integral Calculus Course), T. 2, M., Nauka, 1976, 800 p.
- Kal’nei S. G. Matematicheskii analiz. Ch. 1: Differentsial’noe i integral’noe ischisleniya funktsii odnoi i mnogikh peremennykh (Mathematical Analysis. Part 1: Differential and Integral Calculus of One- and Multivariable Functions), M., MIET, 2014, 267 p., il.
- Bugrov Ya. S., Nikol’skii S. M. Vysshaya matematika. T. 2: Differentsial’noe i integral’noe ischislenie (Higher Mathematics. Vol. 2: Differential and Integral Calculus), 7-e izd., ster., M., Drofa, 2005, 509 p., il., Vysshee obrazovanie.
- Fikhtengol’ts G. M. Osnovy matematicheskogo analiza (Foundations of Mathematical Analysis), T. 2, 5-e izd., ster., M., Nauka, 1968, 463 p., il.