Home/ Majors directory/Thermal Power Engineering/Advanced Mathematics, Part 2
Advanced Mathematics, Part 2
Major: Thermal Power Engineering
Code of subject: 6.144.00.O.009
Credits: 5.00
Department: Mathematics
Lecturer: Liubov Koliasa
Semester: 2 семестр
Mode of study: денна
Завдання: The study of an educational discipline involves the formation of competencies in students of education:
•integral:
1)IC1: The ability to solve complex general and specialized tasks, as well
as practical problems in the field of thermal power engineering or during
the learning process, which involves the application of theories and
methods of electrical engineering and is characterized by complexity
and uncertainty of conditions.
• general competencies:
1) GC3: The ability to learn and acquire modern knowledge.
2) GC9: The ability to make informed decisions.
• professional competences:
PC1: The ability to apply appropriate quantitative mathematical
methods, methods of natural and technical sciences, and computer
software to solve engineering tasks in the field of thermal power
engineering.
Learning outcomes: As a result of studying the academic discipline, the learner should be able to demonstrate the following learning outcomes: proficiency in mathematical language and fundamental concepts, their main properties, and practical skills in their application.
As a result of studying the academic discipline, the learner should be able to demonstrate the following program learning outcomes:
PR1:
Know and understand mathematics, physics, and chemistry at a level
necessary to achieve the outcomes of the educational program.
PR5:
Select and apply suitable standard analytical, computational, and
experimental methods; correctly interpret the results of such studies.
Required prior and related subjects: Mathematics, Part 1 (Linear Algebra and Analytical Geometry);
Physics, Part 1
Physics, Part 2
Fundamentals of Programming and Software for Engineering Calculations
Technical Mechanics
Summary of the subject: The discipline is mandatory, the task of which is to master the mathematical language and fundamental concepts of certain sections of mathematics.
Опис: The following topics are covered in the academic discipline Mathematics, Part 2:
- Numerical and functional series
- Differential calculus of functions of several variables
- Multiple integrals
- Line integrals
- Surface integrals
- Elements of field theory
Assessment methods and criteria: Student knowledge assessment is conducted through oral questioning during practical sessions, control and independent work, terminology dictations, and individual calculation and graphic assignments.
Forms of Assessment:
Ongoing assessment during practical sessions is conducted to determine students' readiness for classes in the following forms:
Selective oral questioning at the beginning of the session.
Comprehensive review of homework assignments.
Calling individual students to the board for independent problem-solving.
Evaluating student activity during the session, including suggestions, original solutions, clarifications, definitions, and additions to previous answers.
Examination assessment is conducted to determine the level of knowledge acquisition by students in written form, with a duration of 90 minutes.
Критерії оцінювання результатів навчання: Current control - 30 points;
Examination Control - 70 points;
Total for discipline - 100 points.
Procedure and Criteria for Grading and Scoring:
ONGOING ASSESSMENT:
Work during practical sessions, including:
Oral questioning, testing, and solving individual practical tasks. For each correctly solved individual task, the maximum score is 1 point.
Calculation and graphic work consisting of 20 tasks. For each correctly solved task, the maximum score is 0.5 points.
FINAL ASSESSMENT (Exam):
The exam is conducted in written form as a written examination task.
The exam ticket contains 8 questions—8 practical tasks. The grade depends on the completeness of the answer, the student's preparation, and the demonstration of their knowledge, with a maximum of 70 points.
Порядок та критерії виставляння балів та оцінок: 100-88 points - certified with an “excellent” grade - High level: the student demonstrates an in-depth mastery of the conceptual and categorical apparatus of the discipline, systematic knowledge, skills and abilities of their practical application. The mastered knowledge, skills and abilities provide the ability to independently formulate goals and organize learning activities, search and find solutions in non-standard, atypical educational and professional situations. The applicant demonstrates the ability to make generalizations based on critical analysis of factual material, ideas, theories and concepts, to formulate conclusions based on them. His/her activity is based on interest and motivation for self-development, continuous professional development, independent research activities, implemented with the support and guidance of the teacher. 87-71 points - certified with a grade of “good” - Sufficient level: involves mastery of the conceptual and categorical apparatus of the discipline at an advanced level, conscious use of knowledge, skills and abilities to reveal the essence of the issue. Possession of a partially structured set of knowledge provides the ability to apply it in familiar educational and professional situations. Aware of the specifics of tasks and learning situations, the student demonstrates the ability to search for and choose their solution according to the given sample, to argue for the use of a particular method of solving the problem. Their activities are based on interest and motivation for self-development and continuous professional development. 70-50 points - certified with a grade of “satisfactory” - Satisfactory level: outlines the mastery of the conceptual and categorical apparatus of the discipline at the average level, partial awareness of educational and professional tasks, problems and situations, knowledge of ways to solve typical problems and tasks. The applicant demonstrates an average level of skills and abilities to apply knowledge in practice, and solving problems requires assistance, support from a model. The basis of learning activities is situational and heuristic, dominated by motives of duty, unconscious use of opportunities for self-development. 49-00 points - certified with a grade of “unsatisfactory” - Unsatisfactory level: indicates an elementary mastery of the conceptual and categorical apparatus of the discipline, a general understanding of the content of the educational material, partial use of knowledge, skills and abilities. The basis of learning activities is situational and pragmatic interest.
Recommended books: 1. Zaytseva L.L., Netreba A.V. Analitychna geometriya v prykladakh i zadachakh. – K.: VPTs “Kyivskyi universytet”, 2008.
2. Yakovets V.P., Borovik V.N., Vavrikovich L.V. Analitychna geometriya. Navch. posibn. – Sumi: Universytetska knyha, 2004.
3. Kolomiiets V.O. ta in. Zbirnyk zadach z matematychnoho analizu. Chast. 1. – Lviv: NU “LP”, 2001.
4. Rudavskyi Yu.K., Kolomiiets V.O. ta in. Zbirnyk zadach z matematychnoho analizu. Chast. 2. – Lviv: NU “LP”, 2004.
5. Ovchynnykov P.P. Vyshcha matematika: pidruchnyk. U 2 kn. / Ovchynnykov P.P., Yaremchuk F.P., Mykhailenko V.M. – K.: Tekhnika, 2003.
6. Vyshcha matematika: pidruchnyk. U 2 kn. / Pryzva G.Y., Plakhotnyk V.V., Hordynskyi L.D. ta in.; za red. Kulinicha G.L. – K.: Lybid, 2003.
7. Rudavskyi Yu.K., Kostrobii P.P., Lunyk H.P., Uhanska D.V. Liniina alhebra ta analytichna heometriya. – Lviv, 2002.
8. Ponedilok G.V. ta in. Liniina alhebra ta analytichna heometriya. – Lviv, 2003.
9. Rudavskyi Yu.K. ta in. Matematychnyi analiz. – Lviv: Vyd-vo Nats. un-tu “Lvivska politekhnika”, 2002.
10. Rudavskyi Yu.K. ta in. Zbirnyk zadach z liniinoi alhebry ta analytichnoi heometrii. – Lviv: DU “LP”, 1999.
11. Shkil V.P. Kurs matematychnoho analizu. – K.: Nauk. dumka, 1995.
12. Matematychnyi analiz: Navchalnyi posibnyk. – Ch. 1. – / pid red. Yu.K. Rudavskoho. – Lviv: Vyd-vo Natsionalnoho universytetu “Lvivska politekhnika”, 2003. – 404 s.
13. Matematychnyi analiz: Navchalnyi posibnyk / Yu.K. Rudavskyi, G.V. Ponedilok, I.O. Bobyk, O.Z. Vatamaniuk, H.T. Drohomyretska, O.M. Rybitska, O.Z. Sliusarchuk. – Lviv: Vyd-vo Natsionalnoho universytetu “Lvivska politekhnika”, 2002. – 308 s.
14. Herasymchuk V.S., Vasilchenko H.S., Kravtsov V.I. Vyshcha matematika. Povnyi kurs u prykladakh i zadachakh: navch. posib. Ch. 2. Nevynyzachenyi, vyznachenyi ta nevlasnyi integraly. Zvychaini dyferentsialni rivniannia. Prykladni zadachi. – K.: Knyhy Ukrainy LTD, 2010.
15. Dubovyk V.P., Yuryk I.I. Vyshcha matematika: navch. posib. – K.: A.S.K., 2006.
16. Liniina alhebra ta analytichna heometriya. Zavdannia do rozrakhunkovo-hrafichnoi roboty dlia studentiv inzhenerno-tekhnichnykh spetsialnostei / Ukl. P.P. Kostrobii, D.V. Uhanska, T.M. Salo, N.B. Hissovska, O.M. Dudnyk, M.I. Sorokatii. – Lviv: Vyd-vo Natsionalnoho universytetu “Lvivska politekhnika”, 2005. – 40 s.
17. Vstup do matematychnoho analizu. Metodychni vkazivky ta zavdannia do samostiinoi roboty z kursu “Matematychnyi analiz” dlia studentiv inzhenerno-tekhnichnykh spetsialnostei / Ukl. Yu.K. Rudavskyi, V.M. Kolisnyk, I.M. Zashkilniak, M.A. Sukhorolskyi, I.O. Bobyk, O.M. Rybitska, M.I. Kopych. – Lviv: Vyd-vo DULP, 1998. – 67 s.
18. Integralne chyslennia. Metodychni vkazivky ta indyvidualni zavdannia do rozrakhunkovo-hrafichnoi roboty dlia studentiv inzhenerno-tekhnichnykh spetsialnostei / Ukl. M.I. Vovk, H.T. Drohomyretska, R.I. Kvit, N.V. Pabirivska, O.M. Rybitska, T.M. Salo, U.V. Zhydyk, M.I. Klapchuk. – Lviv: Vyd-vo Lvivskoi politekhniky, 2012. – 48 s.
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