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Further Mathematics, Part 1 (Linear Algebra and Analytic Geometry, Mathematical Analysis)
Major: Robotics and Industrial Engineering
Code of subject: 6.131.07.O.002
Credits: 9.00
Department: Mathematics
Lecturer: Musii R.
Semester: 1 семестр
Mode of study: денна
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: Execute actions on matrices and vectors; find solutions to systems of linear algebraic equations; recognize the types of lines and be able to depict them in the Cartesian coordinate system; to study elementary functions; find bounds of functions, derivatives of functions, defined, uncertain and multiple integrals; to investigate the convergence of numerical series; to solve the studied mathematical problems with the solution of the solution to a satisfactory result.
Understand and skillfully use linguistic, mathematical and numerical methods in the professional field.
Be able to work independently and in a group, be able to get the result within a limited time with the emphasis on professional integrity and the impossibility of plagiarism.
Required prior and related subjects: Elementary Mathematics, Discrete Mathematics, Mathematical Analysis, Part 1, Mathematical Analysis, Part 2, Linear Algebra, Analytic Geometry.
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: Matrices and determinants; systems of linear equations; elements of vector algebra; analytic geometry on a plane; set theory; numerical sequences, functions, boundary theory, continuity of functions.
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 points;
Examination Control - 70 points;
Total for discipline - 100 points.
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.Рудавський Ю.К. та ін. Лінійна алгебра та аналітична геометрія. Львів, ДУ “ЛП”,1999.
2. Понеділок Г.В. та інші. Лінійна алгебра та аналітична геометрія Львів, 2003.
3. Коваленко І.П. Вища математика, Київ, ”Слово” , 2011.
4. Рудавський Ю.К. та ін. Збірник задач з лінійної алгебри та аналітичної геометрії. ЛьвівДУ “ЛП”, 1999.
5. Коломієць В.О. та ін. Збірник задач з математичного аналізу. Част. 1, Львів, НУ “ЛП”, 2001.
Уніфікований додаток: Lviv Polytechnic National University ensures the realization of the right of persons with disabilities to obtain higher education. Inclusive educational services are provided by the Service of accessibility to learning opportunities "Without restrictions", the purpose of which is to provide permanent individual support for the educational process of students with disabilities and chronic diseases. An important tool for the implementation of the inclusive educational policy at the University is the Program for improving the qualifications of scientific and pedagogical workers and educational and support staff in the field of social inclusion and inclusive education. Contact at:
St. Karpinsky, 2/4, 1st floor, room 112
E-mail: nolimits@lpnu.ua
Websites: https://lpnu.ua/nolimits https://lpnu.ua/integration
Академічна доброчесність: The policy regarding the academic integrity of the participants of the educational process is formed on the basis of compliance with the principles of academic integrity, taking into account the norms "Regulations on academic integrity at the Lviv Polytechnic National University" (approved by the academic council of the university on June 20, 2017, protocol No. 35).