Advanced Mathematics, Part 2

Major: Geodesy and Land Management
Code of subject: 6.193.00.O.010
Credits: 5.00
Department: Cartography and Geospatial Modelling
Lecturer: Ph.D., Associate Professor Brydun Andrii
Semester: 2 семестр
Mode of study: денна
Мета вивчення дисципліни: To present the basics of the theories of linear and vector algebra, analytical geometry, the theory of mathematical analysis, the basics of the theory of ordinary differential equations in the volume necessary for studying the following sections of mathematics and mastering the disciplines of the specialty.
Завдання: The study of an educational discipline involves the formation of competencies in students of education: general competences: • Ability to solve complex specialized tasks and practical problems of geodesy and land management using modern technologies, theoretical provisions and methods of researching the physical surface of the Earth, its shape, dimensions and gravitational field, carrying out measurements on the earth's surface to display it on plans and maps, for solving various scientific and practical tasks. • Ability to learn and master modern knowledge. • Ability to apply knowledge in practical situations. • Ability to work autonomously. professional competences: • The ability to apply fundamental knowledge for the analysis of phenomena of natural and man-made origin when performing professional tasks in the field of geodesy and land management. • Ability to apply theories, principles, methods of physical and mathematical, natural, social and economic, engineering sciences when performing tasks of geodesy and land management.
Learning outcomes: • Convey information, ideas, problems, solutions, own experience and arguments to specialists and non-specialists. • Apply conceptual knowledge of natural and socio-economic sciences when performing tasks of geodesy and land management. • Collect, evaluate, interpret and use geospatial data, metadata about objects of natural and man-made origin, apply statistical methods of their analysis to solve specialized problems in the field of geodesy and land management. • Develop and make effective decisions regarding professional activity in the field of geodesy and land management, including under conditions of uncertainty.
Required prior and related subjects: • Geodesy and topography • Informatics and programming of geotasks • Mathematical processing and analysis of geodata
Summary of the subject: The educational discipline "Higher Mathematics" includes and provides for the study of the basic principles and tools of the mathematical apparatus of such basic sections of mathematics as linear algebra and analytical geometry, differential and integral calculus of functions of one and several variables, the theory of numerical and functional series, the basics of the theory of ordinary differential equations, used in the field of architecture and construction.
Опис: Indefinite and definite integrals Topic 1. Indefinite integral. Topic 2. The definite integral. Improper integrals. Rows Topic 3. Improper integrals of the first and second kind. Topic 4. Rows.
Assessment methods and criteria: Oral, individual, combined and face-to-face examination in practical classes; checking of intermediate written works; assessment of activity, submitted proposals, original decisions, clarifications and definitions; homework protection; final test check.
Критерії оцінювання результатів навчання: • Work in practical classes, oral, combined and face-to-face examination, control papers (30%). • Final control (exam): written and oral form (70%).
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. Юрків М.І., Бридун А.М., Фис М.М. Вища математика. Частина 2: Теорія та практика для студентів геодезичних спеціальностей. навч. посіб. / М.І. Юрків, А.М. Бридун, М.М. Фис – Львів: Видавництво Львівської політехніки, 2019. – 120c. 2. Бридун А.М., Юрків М.І., Фис М.М. Вища математика: курс лекцій для студентів спеціальностей 193 «Геодезія та землеустрій», 103 «Науки про Землю». Частина 2 / А.М. Бридун, М.І. Юрків, М.М. Фис – Львів: Видавництво Львівської політехніки, 2017. – 84c. 3. Лінійна алгебра та аналітична геометрія: метод. вказівки і завдання до розрахунково-графічної роботи з дисципліни “Вища математика” для студентів базового напряму 80101 “Геодезія, картографія та землеустрій“ / уклад.: М.І. Юрків, М.М. Фис, А.М. Бридун, М.В. Прохоренко. – Львів: Видавництво Львівської політехніки, 2014. – 48c. 4. Лінійна алгебра та аналітична геометрія / Ю. К. Рудавський, П. П. Костробій, Ф. П. Луник, Д. В. Уханська – Л.: Бескид Біт, 2002. - 262с. 5. Шкіль М.І. Вища математика / М.І. Шкіль, Т.В. Колесник. – К. Вища школа, 1986.
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