Methodological Activities


In recent years, the Applied Mathematics Department has developed the following instructional materials for students:

distance courses:

  • Probability Theory. Tavrov D. Y., Tsybulnyk A. V. Approved by the Methodological Council of the Igor Sikorsky KPI (Minutes 7 of May 08, 2026).
  • Applied Mechanics. Kostyushko I. A. pproved by the Methodological Council of the Igor Sikorsky KPI (Minutes 6 of April 03, 2026).

textbooks:

  • Kostyushko, I. A. Numerical Methods [Electronic resource] : textbook / I. A. Kostyushko, N. D. Liubashenko, V. V. Tretynyk ; Igor Sikorsky KPI. – Electronic text data (1 file: 1.56 MB). – Kyiv : Igor Sikorsky KPI, 2021. – 243 p. – Title from the screen.

instructional manuals:

  • Tretynyk, V. V. Linear Algebra and Analytical Geometry. Recitations. Part 1 [Electronic resource] : instructional manual for students of specialty F1 "Applied Mathematics", educational programme "Machine Learning and Mathematical Modelling" / V. V. Tretynyk, V. O. Liskin ; Igor Sikorsky KPI. – Electronic text data (1 file: 2.6 MB). – Kyiv : PTF Prosvita, 2025. – 154 p. – Title from the screen. – ISBN 978-617-7010-36-3.
  • Temnikova, O. L. Mathematical Logic and Theory of Algorithms. Lecture Notes [Electronic resource] : instructional manual for students of specialty 113 "Applied Mathematics", educational programme "Data Science and Mathematical Modelling" / O. L. Temnikova ; Igor Sikorsky KPI. – Electronic text data (1 file: 3.93 MB). – Kyiv : PTF Prosvita, 2025. – 252 p. – Title from the screen. – ISBN 978-617-7010-33-2.
  • Temnikova, O. L. Discrete Mathematics. Lecture Notes [Electronic resource] : instructional manual for students of specialty 113 "Applied Mathematics", educational programme "Data Science and Mathematical Modelling" / O. L. Temnikova ; Igor Sikorsky KPI. – Electronic text data (1 file: 3.82 MB). – Kyiv : PTF Prosvita, 2025. – 181 p. – Title from the screen. –
    ISBN 978-617-7010-32-5.
  • Systems Analysis. Recitations [Electronic resource] : instructional manual for Bachelor's degree students under the educ. programme "Data Science and Mathematical Modelling" in spec. 113 Applied Mathematics / Igor Sikorsky KPI ; comp.: L. B. Vovk, K. R. Potapova. – Electronic text data (1 file: 1.58 MB). – Kyiv : Igor Sikorsky KPI, 2025. – 81 p. – Title from the screen.
  • Mathematical Statistics. Lecture Course [Electronic resource] : instructional manual for Bachelor's degree students under the educ. programme "Data Science and Mathematical Modelling" in spec. 113 Applied Mathematics / Igor Sikorsky KPI ; comp.: L. B. Vovk, K. R. Potapova. – Electronic text data (1 file: 2.34 MB). – Kyiv : Igor Sikorsky KPI, 2025. – 168 p. – Title from the screen.
  • Mathematical Programming. Linear Programming [Electronic resource] : lecture notes : instructional manual under the educational programme "Data Science and Mathematical Modelling" in spec. 113 Applied Mathematics / Igor Sikorsky KPI ; comp.: T. S. Ladogubets, O. D. Finohenov. – Electronic text data (1 file: 5.51 MB). – Kyiv : Igor Sikorsky KPI, 2025. – 173 p. – Title from the screen.
  • Maslianko, P. P. Practice for Bachelor's Degree Students [Electronic resource] : instructional manual for Bachelor's degree students under the educational programme "Data Science and Mathematical Modelling" in specialty 113 Applied Mathematics / P. P. Maslianko, L. O. Kovalchuk-Khymiuk ; Igor Sikorsky KPI. – Electronic text data (1 file: 5.25 MB). – Kyiv : PTF Prosvita, 2025. – 315 p. – Title from the screen. – ISBN 978-617-7010-35-6.
  • Tavrov D. Y. Probability Theory. Recitations [Electronic resource] : instructional manual for Bachelor's degree students under the educational programme "Data Science and Mathematical Modelling" in specialty 113 Applied Mathematics / D. Y. Tavrov, O. L. Temnikova ; Igor Sikorsky KPI. - Electronic text data (1 file: 2.97 MB). - Kyiv : Igor Sikorsky KPI, 2024. - 349 p. - Title from the screen.
  • Discrete Mathematics. Part 2. Boolean Algebra. Recitations [Electronic resource] : instructional manual for students studying in specialty 113 "Applied Mathematics", educational programme "Data Science and Mathematical Modelling" / O. L. Temnikova, D. Y. Tavrov ; Igor Sikorsky KPI. - Electronic text data (1 file: 3.18 MB). - Kyiv : Igor Sikorsky KPI, 2024. - 185 p. - Title from the screen.
  • Ladogubets, T. S. Numerical Optimization Methods. Recitations [Electronic resource] : instructional manual under the educational programme "Data Science and Mathematical Modelling" in spec. 113 Applied Mathematics / T. S. Ladogubets, O. D. Finohenov, A. M. Gubskyi ; Igor Sikorsky KPI. – Electronic text data (1 file: 3.2 MB). – 2nd ed. rev. and  enl. – Kyiv : Igor Sikorsky KPI, 2024. – 125 p. – Title from the screen.
  • Tavrov D. Y. Probability Theory. Lecture Course [Electronic resource] : instructional manual for students studying in specialty 113 "Applied Mathematics", educational programme "Data Science and Mathematical Modelling" / D. Y. Tavrov, O. L. Temnikova; Igor Sikorsky KPI. - Electronic text data (1 file: 6.67 MB). - Kyiv : Igor Sikorsky KPI, 2023. - 443 p. - Title from the screen.
  • Temnikova, O. L. Discrete Mathematics. Part 1. Fundamentals of Discrete Mathematics. Recitations [Electronic resource] : instructional manual for students studying in specialty 113 "Applied Mathematics", educational programme "Data Science and Mathematical Modelling" / O. L. Temnikova, D. Y. Tavrov ; Igor Sikorsky KPI. - Electronic text data (1 file: 2.33 MB). - Kyiv : Igor Sikorsky KPI, 2023. - 121 p. - Title from the screen.
  • Programming in Haskell: a laboratory manual for the course "Functional Programming" [Electronic resource] : instructional manual for Bachelor's degree students under the educational programme "Data Science (Data Science)and Mathematical Modelling" in specialty 113 "Applied Mathematics" / Igor Sikorsky KPI ; comp.: Borysenko P. B., Gromova V. V. - Electronic text data (1 file: 1.87 MB). - Kyiv : Igor Sikorsky KPI, 2023. - 91 p. - Title from the screen.
  • Kostyushko, I. A. Applied Mechanics. Laboratory Workbook [Electronic resource] : instructional manual for students studying in the specialty "Applied Mathematics" / I. A. Kostyushko, N. D. Liubashenko ; Igor Sikorsky KPI. – Electronic text data (1 file: 3.57 MB). – Kyiv : Igor Sikorsky KPI, 2023. – Title from the screen.
  • Programming. Part 2. Guidelines for Laboratory Work [Electronic resource] : instructional manual for students of specialty 113 "Applied Mathematics", specialization "Data Science and Mathematical Modelling" / Igor Sikorsky KPI ; comp.: N. D. Liubashenko, I. A. Kostyushko. – Electronic text data (1 file: 4.74 MB). – Kyiv : Igor Sikorsky KPI, 2023. – 75 p. – Title from the screen.
  • Tretynyk, V. V. Linear Algebra and Analytical Geometry. Part 2 [Electronic resource] : instructional manual for students studying in specialty 113 "Applied Mathematics", specialization "Data Science and Mathematical Modelling" / V. V. Tretynyk, V. O. Liskin, V. V. Malchykov ; Igor Sikorsky KPI. – Electronic text data (1 file: 1.62 MB). – Kyiv : Igor Sikorsky KPI, 2022. – 125 p. – Title from the screen.
  • Calculating Complex Systems by the Transfer Matrix Method [Electronic resource] : instructional manual for students studying in the specialty "Applied Mathematics" / Igor Sikorsky KPI ; comp.: I. V. Orynyak. – Electronic text data (1 file: 7.31 MB). – Kyiv : Igor Sikorsky KPI, 2022. – 252 p. – Title from the screen.
  • Theory of Algorithms. Algorithmic Schemes. Recitations [Electronic resource] : instructional manual for students studying in specialty 113 "Applied Mathematics", educational programme "Data Science and Mathematical Modelling" / O. L. Temnikova ; Igor Sikorsky KPI. – Electronic text data (1 file: 1.58 MB). – Kyiv : Igor Sikorsky KPI, 2022. – 43 p. – Title from the screen.
  • Data Science Systems. Methodological Guidelines and Recommendations for Laboratory Work [Electronic resource] / Igor Sikorsky KPI ; comp. P. P. Maslianko. – Electronic text data (1 file: 1.37 MB). – Kyiv : Igor Sikorsky KPI, 2022. – 38 p. – Title from the screen.
  • Maslianko, P. P. Practice for Master's Degree Students [Electronic resource] : instructional manual for Master's degree students under the educational programme "Data Science and Mathematical Modelling" in specialty 113 Applied Mathematics / P. P. Maslianko, L. O. Kovalchuk-Khymiuk ; Igor Sikorsky KPI. – Electronic text data (1 file: 3.62 MB). – Kyiv : Igor Sikorsky KPI, 2022. – 229 p. – Title from the screen.
  • Data Science Systems. Workbook on Systems Engineering of Data Science Systems [Electronic resource] / Igor Sikorsky KPI ; comp. P. P. Maslianko. – Electronic text data (1 file: 2.3 MB). – Kyiv : Igor Sikorsky KPI, 2022. – 68 p. – Title from the screen.
  • Los, V. M. Ordinary Differential Equations [Electronic resource] : instructional manual for Bachelor's degree students in specialty 113 Applied Mathematics / V. M. Los, V. V. Malchykov ; Igor Sikorsky KPI. – Electronic text data (1 file: 573 KB). – Kyiv : Igor Sikorsky KPI, 2021. – 66 p. – Title from the screen.
  • Gromova, V. V. Programming: Recitations (Part 1) [Electronic resource] : instructional manual for students studying in specialty 113 Applied Mathematics, specialization "Data Science and Mathematical Modelling" / V. V. Gromova ; Igor Sikorsky KPI. – Electronic text data (1 file: 2.06 MB). – Kyiv : Igor Sikorsky KPI, 2021. – 175 p. – Title from the screen.