{"id":106,"date":"2022-12-12T20:48:05","date_gmt":"2022-12-12T18:48:05","guid":{"rendered":"http:\/\/mmis.ipt.kpi.ua\/?page_id=106"},"modified":"2026-04-17T22:14:44","modified_gmt":"2026-04-17T20:14:44","slug":"educational-plans","status":"publish","type":"page","link":"https:\/\/mmis.ipt.kpi.ua\/en\/education\/educational-plans\/","title":{"rendered":"Curricula"},"content":{"rendered":"

The Department of Mathematical Methods of Information Protection produces specialists in cryptology \u2014 a joint field of applied mathematics, computer science, and cyber security. This direction is unique for Ukraine and combines thorough mathematical training and a purely applied field of application.<\/p>\n

Specialty:<\/strong> F5 \u041a\u0456\u0431\u0435\u0440\u0431\u0435\u0437\u043f\u0435\u043a\u0430 \u0442\u0430 \u0437\u0430\u0445\u0438\u0441\u0442 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0457<\/p>\n

Educational program:<\/strong> \u041a\u0440\u0438\u043f\u0442\u043e\u0433\u0440\u0430\u0444\u0456\u0447\u043d\u0438\u0439 \u0437\u0430\u0445\u0438\u0441\u0442 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0457 \u0432 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u0445 \u043a\u0456\u0431\u0435\u0440\u0431\u0435\u0437\u043f\u0435\u043a\u0438<\/a>.<\/p>\n\n\n\n\n\n
Educational degree<\/strong><\/td>\nYear<\/strong><\/td>\nDownload<\/strong><\/td>\n<\/tr>\n<\/thead>\n
Bachelor<\/td>\n2026<\/td>\n\u0431\u0443\u0434\u0435 \u043e\u043f\u0443\u0431\u043b\u0456\u043a\u043e\u0432\u0430\u043d\u043e \u0443 \u0442\u0440\u0430\u0432\u043d\u0456 2026\u0440., \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0443 \u043f\u043b\u0430\u043d\u0443 \u043d\u0430\u0432\u0435\u0434\u0435\u043d\u043e \u043d\u0430 \u0456\u043b\u044e\u0441\u0442\u0440\u0430\u0446\u0456\u044f\u0445 \u043d\u0438\u0436\u0447\u0435<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Specialty:<\/strong> F1 \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430<\/p>\n

Educational program:<\/strong> Mathematical methods of cryptographic protection of information<\/a>.<\/p>\n\n\n\n\n\n\n
Educational degree<\/strong><\/td>\nYear<\/strong><\/td>\nDownload<\/strong><\/td>\n<\/tr>\n<\/thead>\n
Bachelor<\/td>\n2025<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a><\/td>\n<\/tr>\n
Master's degree<\/td>\n2025<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Educational program:<\/strong> Applied Mathematics<\/a>
\n(\u0421\u043f\u0456\u043b\u044c\u043d\u0430 \u043e\u0441\u0432\u0456\u0442\u043d\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0430 \u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u043e-\u043d\u0430\u0443\u043a\u043e\u0432\u043e\u0433\u043e \u0444\u0456\u0437\u0438\u043a\u043e-\u0442\u0435\u0445\u043d\u0456\u0447\u043d\u043e\u0433\u043e \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442\u0443 \u0442\u0430 \u0424\u0430\u043a\u0443\u043b\u044c\u0442\u0435\u0442\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u043e\u0457 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0434\u043b\u044f \u043f\u0456\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u0438 \u0434\u043e\u043a\u0442\u043e\u0440\u0456\u0432 \u0444\u0456\u043b\u043e\u0441\u043e\u0444\u0456\u0457 \u0437\u0430 \u0441\u043f\u0435\u0446\u0456\u0430\u043b\u044c\u043d\u0456\u0441\u0442\u044e F1 \u041f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430)<\/p>\n\n\n\n\n\n
Educational degree<\/strong><\/td>\nYear<\/strong><\/td>\nDownload<\/strong><\/td>\n<\/tr>\n<\/thead>\n
\u0414\u043e\u043a\u0442\u043e\u0440 \u0444\u0456\u043b\u043e\u0441\u043e\u0444\u0456\u0457 (PhD), \u043e\u0447\u043d\u0430 (\u0434\u0435\u043d\u043d\u0430)<\/td>\n2025<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The latest versions of the catalogs of optional educational components can be found on the page "Educational trajectory and optional subjects<\/a>“.<\/p>\n

\n

Structure of the bachelor's program<\/h2>\n

\"\"<\/a><\/p>\n

Main chains of educational disciplines<\/h2>\n

\"\"<\/a><\/p>\n


\n<\/p>\n

\n

 <\/p>\n

Structure of the master's (scientific) program<\/h2>\n

\"\"<\/a><\/p>\n

Main chains of educational disciplines<\/h2>\n

\"\"<\/a><\/p>\n

\n

Educational plans of previous years<\/h2>\n

 <\/p>\n

 <\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Educational degree<\/strong><\/td>\nYear<\/strong><\/td>\nSpecialty and educational program (specialization)<\/strong><\/td>\nDownload<\/strong><\/td>\n<\/tr>\n<\/thead>\n
Bachelor<\/td>\n2024<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Master's degree<\/td>\n2024<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
\u0414\u043e\u043a\u0442\u043e\u0440 \u0444\u0456\u043b\u043e\u0441\u043e\u0444\u0456\u0457 (PhD), \u043e\u0447\u043d\u0430 (\u0434\u0435\u043d\u043d\u0430)<\/td>\n2024<\/td>\nApplied Mathematics<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
\u0414\u043e\u043a\u0442\u043e\u0440 \u0444\u0456\u043b\u043e\u0441\u043e\u0444\u0456\u0457 (PhD), \u043e\u0447\u043d\u0430 (\u0432\u0435\u0447\u0456\u0440\u043d\u044f)<\/td>\n2024<\/td>\nApplied Mathematics<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
\u0414\u043e\u043a\u0442\u043e\u0440 \u0444\u0456\u043b\u043e\u0441\u043e\u0444\u0456\u0457 (PhD), \u0437\u0430\u043e\u0447\u043d\u0430<\/td>\n2024<\/td>\nApplied Mathematics<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2022, 2023<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Master's degree<\/td>\n2022, 2023<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Doctor of Philosophy (PhD)<\/td>\n2022, 2023<\/td>\nApplied Mathematics<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2021<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Master (Science)<\/td>\n2021<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Master (Professional)<\/td>\n2021<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Doctor of Philosophy (PhD)<\/td>\n2020, 2021<\/td>\nApplied Mathematics<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2020<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Master (Science)<\/td>\n2020<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Master (Professional)<\/td>\n2020<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2019<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Master (Science)<\/td>\n2019<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Master (Professional)<\/td>\n2019<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2017<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Master (Science)<\/td>\n2017<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Master (Professional)<\/td>\n2017<\/td>\nPM \/ Mathematical methods of cryptographic protection of information<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2016<\/td>\nPM \/ Applied cryptology<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Master's degree<\/td>\n2016<\/td>\nPM \/ Applied cryptology<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n
Bachelor<\/td>\n2015<\/td>\nApplied Mathematics<\/td>\n\n \"\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456<\/a>\n <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>","protected":false},"excerpt":{"rendered":"

\u041a\u0430\u0444\u0435\u0434\u0440\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u0456\u0432 \u0437\u0430\u0445\u0438\u0441\u0442\u0443 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u0457 \u0432\u0438\u043f\u0443\u0441\u043a\u0430\u0454 \u0444\u0430\u0445\u0456\u0432\u0446\u0456\u0432 \u0437 \u043a\u0440\u0438\u043f\u0442\u043e\u043b\u043e\u0433\u0456\u0457 \u2014 \u0441\u043f\u0456\u043b\u044c\u043d\u0456\u0439 \u0433\u0430\u043b\u0443\u0437\u0456 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u043e\u0457 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438, \u043a\u043e\u043c\u043f’\u044e\u0442\u0435\u0440\u043d\u0438\u0445 \u043d\u0430\u0443\u043a \u0442\u0430 \u043a\u0456\u0431\u0435\u0440\u0431\u0435\u0437\u043f\u0435\u043a\u0438. \u0426\u0435\u0439 \u043d\u0430\u043f\u0440\u044f\u043c \u0454 \u0443\u043d\u0456\u043a\u0430\u043b\u044c\u043d\u0438\u043c \u0434\u043b\u044f \u0423\u043a\u0440\u0430\u0457\u043d\u0438 \u0456 \u043f\u043e\u0454\u0434\u043d\u0443\u0454 \u0491\u0440\u0443\u043d\u0442\u043e\u0432\u043d\u0443 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0443 \u043f\u0456\u0434\u0433\u043e\u0442\u043e\u0432\u043a\u0443 \u0442\u0430 …<\/p>","protected":false},"author":1,"featured_media":0,"parent":83,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"footnotes":""},"class_list":["post-106","page","type-page","status-publish","hentry"],"yoast_head":"\n\u041d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0456 \u043f\u043b\u0430\u043d\u0438 - 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