# Mathematics 1

Последна измена: November 22, 2022
 1. Course Title Mathematics 1 2. Code 4ФЕИТ08З007 3. Study program ТКИИ,КХИЕ,КТИ,ЕЕС,ЕЕПМ,ЕАОИЕ,КСИАР 4. Organizer of the study program (unit, institute, department) Faculty of Electrical Engineering and Information Technologies 5. Degree (first, second, third cycle) First cycle 6. Academic year/semester I/1 7. Number of ECTS credits 8 8. Lecturer D-r Aneta Buchkovska, D-r  Sonja Gegovska – Zajkova, D-r Katerina Hadji – Velkova, D-r Biljana Nachevska- Nastovska 9. Course Prerequisites 10. Course Goals (acquired competencies): Upon completion of the course, the student is able to: calculate limit values, derivatives and integrals; interpret the meaning of a limit value, derivative, differential and definite integral; examine the properties of functions and sketch their graph; draw conclusions about the functions based on their graph; interpret the meaning of continuity, differentiability and integrability of a function; apply differentiation and integration in modeling and solving geometric and physical problems; analyze and solve problems in electrical engineering by combining the basic concepts and principles of differential and integral calculus of a single variable real function; reinforce logical thinking; express precisely and clearly in presenting solutions; follow the advanced mathematical and engineering courses. 11. Course Syllabus: Sequences of real numbers, limit of a sequence, properties and operations with convergent sequences, some special sequences. Single variable real functions, properties, limit of a function, some special limits. Derivative of a single variable real function and its geometric interpretation, a tangent and normal line of a plane curve, basic rules of differentiation, first differential, derivatives and differentials of a higher order, basic theorems of differential calculus, application of derivatives, L’Hospital’s rule, Taylor’s theorem, sketching a graph of a function. Indefinite integrals and integration methods, definite integrals, basic theorems of integral calculus, Newton-Leibnitz’s theorem, improper integrals, application of the integrals to geometry. 12. Learning methods: Blended teaching method: lecturing, tutorials supported by presentations and visualization of concepts, active participation of students through tests and assignments, all supported by learning management system. 13. Total number of course hours 4 + 3 + 0 + 0 14. Distribution of course hours 240 15. Forms of teaching 15.1. Lectures-theoretical teaching 60 15.2. Exercises (laboratory, practice classes), seminars, teamwork 45 16. Other course activities 16.1. Projects, seminar papers 0 16.2. Individual tasks 35 16.3. Homework and self-learning 100 17. Grading 17.1. Exams 30 17.2. Seminar work/project (presentation: written and oral) 0 17.3. Activity and participation 0 17.4. Final exam 70 18. Grading criteria (points) up to 50 points 5 (five) (F) from 51to 60 points 6 (six) (E) from 61to 70 points 7 (seven) (D) from 71to 80 points 8 (eight) (C) from 81to 90 points 9 (nine) (B) from 91to 100 points 10 (ten) (A) 19. Conditions for acquiring teacher’s signature and for taking final exam Аttend classes regularly and take tests. 20. Forms of assessment During the semester, two partial written exams are provided (in the 8th and 15th week of the semester, lasting 90 minutes) and tests that are conducted during the classes. In the exam sessions, a student can take a written exam i (duration 135 minutes). For students who have passed the partial exams/written exam, a final oral exam can be conducted (duration 60 minutes). The points from the partial exams/written exam, as well as the points from the tests and the final oral exam are included in the final grade. 21. Language Macedonian and English 22. Method of monitoring of teaching quality Self-evaluation and surveys 23. Literature 23.1. Required Literature No. Author Title Publisher Year 1 S. Gegovska-Zajkova, K. Hadzi-Velkova Saneva Differential and Integral Calculus (in macedonian) FEIT/UKIM 2015 2 N. Tuneski, B. Jolevska-Tuneska Differential Calculus UKIM 2009 3 N. Tuneski, B. Jolevska-Tuneska Integral Calculus UKIM 2011