Advanced Mathematics, Part 1

Major: Professional Education (Digital Technologies)
Code of subject: 6.015.39.O.002
Credits: 4.00
Department: Mathematics
Lecturer: Pyrch Nazar Mykhailovich
Semester: 1 семестр
Mode of study: денна
Мета вивчення дисципліни: The main goal of studying the academic discipline is the formation of students of basic mathematical knowledge for solving problems in professional activities, analytical thinking skills and mathematical formulation of technical problems.
Завдання: The study of an educational discipline involves the formation of competencies in students of education: • general competencies: 1) the ability to learn; 2) ability to think analytically; 3) ability to apply knowledge in practical situations; 4) ability to make informed decisions; • professional competences: 1) basic knowledge of scientific concepts, theories and methods necessary for understanding the principles operation of environmentally safe technologies; 2) the ability to argue the choice of methods for solving specialized problems is critical evaluate the obtained results and justify the decisions made; 3) the ability to apply professional knowledge and practical skills to solve typical problems of the specialty and justify the choice of methods for solving them, critically evaluate the obtained results and defend the decisions made.
Learning outcomes: КУ1. Use basic software and ready-made application packages for fast preparation of documents in office work. Possession of skills of use of modern methods of development of information systems. ПН1. Formation of students' basic mathematical knowledge for solving problems in professional activities, skills of analytical thinking and mathematical formulation of technical problems.
Required prior and related subjects: Details: Physics Informatics Co-requisites: Discrete mathematic
Summary of the subject: The academic discipline "Higher Mathematics, part 1" is a component of the educational and professional program training of specialists at the first level of higher education "bachelor" in the specialty "Professional Education (Digital Technologies)". This discipline is mandatory, the task of which is to master the mathematical language and fundamental concepts of certain sections of mathematics.
Опис: Matrices, operations on matrices, determinants. Systems of linear equations. Elements of vector algebra. Scalar, vector and mixed products. Coordinate systems. The main problems of analytical geometry on the plane and in space. Lines and surfaces of the first order. Second order curves. Functions of one variable. Complex numbers. Limits and continuity. Derivative and its application Functions of many variables. Boundary and continuity. Partial derivatives and their application.
Assessment methods and criteria: Student knowledge testing is carried out by means of oral questioning in practical classes, control and independent work in the virtual of learning environment, the terminologicals of dictations, individual calculation and graphic works.
Критерії оцінювання результатів навчання: Current control (30%): written reports on practical work Final control (70%): differentiated test - written form
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) is awarded for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literary sources, the ability to analyze the phenomena being studied in their interrelationship and development, clearly, succinctly, logically, consistently answer the questions, the ability to apply theoretical provisions when solving practical problems; 87–71 points – (“good”) is awarded for a generally correct understanding of the educational material of the component, including calculations, reasoned answers to the questions posed, which, however, contain certain (insignificant) shortcomings, for the ability to apply theoretical provisions when solving practical tasks; 70 – 50 points – (“satisfactory”) awarded for weak knowledge of the component’s educational material, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for weak application of theoretical provisions when solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions when solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the main fundamental provisions.
Recommended books: 1.Коломієць В.О. та ін. Збірник задач з математичного аналізу. Част. 1, Львів, НУ “ЛП”, 2001. 2. Овчинников П.П. Вища математика: підручник. У 2 кн./ Овчинников П.П., Яремчук Ф.П., Михайленко В.М. .– К.: Техніка, 2003. 3. Вища математика: підручник. У 2 кн./ Призва Г.Й., Плахотник В.В., Гординський Л.Д. та ін.; за ред. Кулініча Г.Л.– К.: Либідь, 2003. 4. Шкіль В.П. Курс математичного аналізу. – К.: Наук. думка, 1995. 5. .Математичний аналіз: Навчальний посібник / Ю.К.Рудавський, Г.В.Понеділок, І.О.Бобик, О.З.Ватаманюк, Х.Т.Дрогомирецька, О.М.Рибицька, О.З.Слюсарчук.– Львів: Видавництво Національного університету “Львівська політехніка”, 2002.–308 с. 6. Кудрявцев В.А., Демидович Б.П. Краткий курс высшей математики. – М,, 1985. 7.Рудавський Ю.К., Костробій П.П., Луник Ф.П., Уханська Д.В. Лінійна алгебра та аналітична геометрія. Навчальний посібник. Львів, Вид-во ДУ «Львівська політехніка», 1999. 8.Коломієць В.О,, Кісілевич В.В. Конспект лекцій з лінійної алгебри та аналітичної геометрії. - Львів, Вид-во ДУ «Львівська політехніка», 2000.
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