{"id":89710,"date":"2023-08-31T16:03:53","date_gmt":"2023-08-31T13:03:53","guid":{"rendered":"https:\/\/press.azbuki.bg\/?p=89710"},"modified":"2025-07-08T10:17:58","modified_gmt":"2025-07-08T07:17:58","slug":"integrated-lessons-in-calculus-using-software","status":"publish","type":"post","link":"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/","title":{"rendered":"Integrated Lessons in Calculus Using Software"},"content":{"rendered":"<p><strong>Pohoriliak Oleksandr1) Olga Syniavska1)<\/strong><br \/>\n<strong>Anna Slyvka-Tylyshchak1) Antonina Tegza1)<\/strong><br \/>\n<strong>Alexander Tylyshchak2)<\/strong><br \/>\n<em>1)Uzhhorod National University \u2013 Uzhhorod (Ukraine)<\/em><br \/>\n<em>2)Ferenc R\u00e1k\u00f3czi II Transcarpathian Hungarian Institute \u2013 Berehove (Ukraine)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2023-4-4-int\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2023-4-4-int<\/a><\/p>\n<p><strong>Abstract.<\/strong> Today, both secondary and higher education cannot be effective without the use of innovative technologies. Therefore, all pedagogical workers try to use modern means of organizing educational activities, which cover the entire learning process from defining the goal to reaching the results.This article proposes to consider one of the methods of conducting integrated classes with a combination of analytical computing and specific software application. The above considerations can help students more effectively master the complex theoretical material of the calculus course. The article aims to consider some methods of studying and interpreting the theory of calculus using the free computer mathematics system Maxima and the Python language.<br \/>\nKeywords: calculus; computer mathematics system; Maxima; Python; differential calculus; integration<\/p>\n<a href=\"https:\/\/science.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"<p>Pohoriliak Oleksandr1) Olga Syniavska1) Anna Slyvka-Tylyshchak1) Antonina Tegza1) Alexander Tylyshchak2) 1)Uzhhorod National University \u2013 Uzhhorod (Ukraine) 2)Ferenc R\u00e1k\u00f3czi II Transcarpathian Hungarian Institute \u2013 Berehove (Ukraine) https:\/\/doi.org\/10.53656\/math2023-4-4-int Abstract. Today, both secondary and higher education cannot be effective without the use of innovative technologies. Therefore, all pedagogical workers try to use modern means of organizing educational activities, [&hellip;]<\/p>","protected":false},"author":124332423429233,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":{"source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"template":"1","single_blog_custom":"","parallax":"1","fullscreen":"1","layout":"right-sidebar","sidebar":"default-sidebar","second_sidebar":"default-sidebar","sticky_sidebar":"1","share_position":"bottom","share_float_style":"share-monocrhome","show_share_counter":"1","show_view_counter":"1","show_featured":"0","show_post_meta":"1","show_post_author":"0","show_post_author_image":"1","show_post_date":"0","post_date_format":"default","post_date_format_custom":"Y\/m\/d","show_post_category":"1","show_post_reading_time":"1","post_reading_time_wpm":"300","show_zoom_button":"1","zoom_button_out_step":"2","zoom_button_in_step":"3","show_post_tag":"1","show_prev_next_post":"1","show_popup_post":"1","number_popup_post":"3","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"crop-500","single_post_gallery_size":"crop-500"}],"trending_post":"0","trending_post_position":"meta","trending_post_label":"Trending","sponsored_post":"0","sponsored_post_label":"Sponsored by","sponsored_post_name":"","sponsored_post_url":"","sponsored_post_logo_enable":"0","sponsored_post_logo":"","sponsored_post_desc":"","disable_ad":"0"},"jnews_primary_category":{"id":"","hide":""}},"categories":[1],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Integrated Lessons in Calculus Using Software - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Integrated Lessons in Calculus Using Software - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Pohoriliak Oleksandr1) Olga Syniavska1) Anna Slyvka-Tylyshchak1) Antonina Tegza1) Alexander Tylyshchak2) 1)Uzhhorod National University \u2013 Uzhhorod (Ukraine) 2)Ferenc R\u00e1k\u00f3czi II Transcarpathian Hungarian Institute \u2013 Berehove (Ukraine) https:\/\/doi.org\/10.53656\/math2023-4-4-int Abstract. 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Therefore, all pedagogical workers try to use modern means of organizing educational activities, [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Azbuki55\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-31T13:03:53+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-08T07:17:58+00:00\" \/>\n<meta name=\"author\" content=\"Ivo Hristov\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ivo Hristov\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/\"},\"author\":{\"name\":\"Ivo Hristov\",\"@id\":\"https:\/\/azbuki.bg\/#\/schema\/person\/afbaf1134fb1651095b07ef0a6bfbf4a\"},\"headline\":\"Integrated Lessons in Calculus Using Software\",\"datePublished\":\"2023-08-31T13:03:53+00:00\",\"dateModified\":\"2025-07-08T07:17:58+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/\"},\"wordCount\":184,\"publisher\":{\"@id\":\"https:\/\/azbuki.bg\/#organization\"},\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/\",\"url\":\"https:\/\/science.azbuki.bg\/en\/uncategorized\/integrated-lessons-in-calculus-using-software\/\",\"name\":\"Integrated Lessons in Calculus Using Software - 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