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Mathematics
Major: Architecture and Town Planning
Code of subject: 6.191.00.O.025
Credits: 4.00
Department: Mathematics
Lecturer: Brodyak Oksana
Semester: 2 семестр
Mode of study: денна
Завдання: 1. Compute determinants of 2nd, 3rd and higher orders.
2. Perform operations on matrices.
3. Solve systems of linear algebraic equations.
4. Expand vectors by basis, calculate the scalar product of vectors.
5. Construct equations of second-order lines and curves on a plane and lines and planes in space.
6. Find limits, derivatives of functions of one variable and conduct a complete study of the function.
7. To find partial derivatives and extremum points of a function of many variables.
8. Find integrals using different integration methods. Use
definite integral for calculating areas, volumes. Calculate nonproprietary and multiple integrals.
9. Investigate the convergence of positive number series.
The study of an academic discipline involves the formation and development of students' competencies:
general:
1. Ability to write and speak in Ukrainian and English (or other) languages.
2. The ability to learn, to perceive the acquired knowledge in the subject area.
3. The ability to be critical and self-critical to understand factors that have a positive or negative impact on communication, and the ability to identify and
to take into account these factors in specific situations, as well as the ability to manage time.
4. The ability to apply knowledge to solve qualitative and quantitative problems, as well as produce new ideas, show creativity, and the ability to think systematically.
5. The ability to search and process information from various sources and analyze it, as well as the ability to adapt and act in a new situation.
6. Orientation to safety and preservation of the natural environment, as well as entrepreneurial spirit, initiative due to the ability to effectively use in practice various theories in the management of science and in the subject area.
7. Acquisition of a flexible way of thinking, which makes it possible to understand and solve problems and tasks, while maintaining a critical attitude to established scientific concepts.
professional:
1.1 Ability to understand and skillfully use linguistic, mathematical and numerical methods in the professional field.
1.2. Ability to conduct comprehensive marketing research of the foreign market, search, selection and establishment of contacts with a foreign partner.
Learning outcomes: As a result of the study of the academic discipline, the student of education should be capable demonstrate the following learning outcomes: mastery of mathematical language and fundamental concepts, their main properties and practical skills using.
As a result of the study of the academic discipline, the student of education should be capable demonstrate the following learning outcomes:
Possession of sufficient knowledge and understanding of the main categories, concepts and scientific principles underlying the development
international relations.
Knowledge of the patterns of functioning and development on an international scale of the market system of the organization of economic life.
Use information and communication technologies to solve complex specialized tasks and professional problems
activity.
Required prior and related subjects: Elementary mathematics, probability theory and mathematical statistics, discrete mathematics
Summary of the subject: The educational discipline "Algebra and analysis" is a component of the educational and professional program training of specialists at the first level of higher education "bachelor" in the field of knowledge 03 Humanitarian of sciences in the specialty 035 Philology according to the educational program "Philology (applied linguistics)". This discipline is mandatory. It is taught in the 1st semester of the 1st year in
volume - 240 hours. (8 ECTS credits) in particular: lectures – 30 hours, practical classes – 60 hours, independent work - 150 hours The course includes 2 calculation and graphic works.
The discipline ends with an exam in the first semester.
The educational discipline "Algebra and analysis (higher mathematics)" consists of sections "Linear algebra and analytical geometry" and "Mathematical analysis". In the section "Linear algebra and analytic geometry" the following topics are considered: "Matrixes,
determinants and systems of linear equations", "Elements of vector algebra", "Basic problems of analytic geometry on the plane".
The section "Mathematical analysis" consists of the following topics: "Functions of one variable", "Functions of many variables", "Primitive and indefinite integral", "Definite integral", "Double integral", "Series".
Опис: Matrices, determinants and systems of linear equations. Elements of vector algebra. Basic problems of analytical geometry on the plane. Functions of one variable. Functions of many variables. Primitive and integral. Double integral. Series.
Assessment methods and criteria: Diagnostics of students' knowledge is carried out with the help of an oral survey on practical classes, control and independent works, individual calculations graphic works.
Критерії оцінювання результатів навчання: Calculation and graphic work - 20
Control measures - 10
Work in practical classes - 10
Written component (exam) - 60
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. Rudavskyi Y.K. etc. Linear algebra and analytic geometry. Lviv, State University "LP", 1999.
2. Monday G.V. and other. Linear algebra and analytic geometry, Lviv, 2003.
3. I.P. Kovalenko Higher Mathematics, Kyiv, Slovo, 2011.
4. Rudavskyi Y.K. etc. A collection of problems in linear algebra and analytic geometry. Lviv State University"LP", 1999.
5. Kolomiets V.O. etc. A collection of problems on mathematical analysis. Often 1, Lviv, NU "LP", 2001.
6. Rudavskyi Y.K., Kolomiets V.O. etc. A collection of problems on mathematical analysis. Part 2, Lviv, NU "LP", 2004.
Auxiliary
1. Drohomyretska H.T., Kaleniuk P.I., Klapchuk M.I., Ponedilok G.V. Mathematical analysis functions of one variable. . Lviv, Publishing House of NU "LP", 2016, 576 p.
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).