# Mathematics 3

Објавено: October 12, 2018
 1.    Course Title Mathematics 3 2.    Code 3ФЕИТ08З011 3.    Study program EAOIE, EES, EEUM, KHIE, KSIAR, KTI, TKII 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 II/3 7.    Number of ECTS credits 6.00 8.    Lecturer Dr Aneta Buchkovska, Dr Biljana Jolevska-Tuneska, Dr Biljana Nachevska-Nastovska, Dr Katerina Hadji-Velkova Saneva, Dr Sanja Atanasova, Dr Sonja Gegovska-Zajkova, Dr Vesna  Andova 9.    Course Prerequisites Passed: Mathematics 1 Taken course: Mathematics 2 10.    Course Goals (acquired competencies):  To adopt the basic notions of differential and integral calculus of multi-variable functions, linear and surface integrals and ordinary differential equations. Development of analytical thinking, critical abilities, learning ability. 11.    Course Syllabus: Definition of a function of several variables. Limits and continuity. Partial derivatives. Differentiability. Chain rule. Directional derivatives and Gradient. Tangent plane. Extrema of Multivariable functions. Integral calculus of multivariable functions. Line and surface integrals. Differential equations 12.    Learning methods:  Lectures, presentations and auditory exercises 13.    Total number of course hours 3 + 3 + 0 + 0 14.    Distribution of course hours 210 15.    Forms of teaching 15.1. Lectures-theoretical teaching 45 15.2. Exercises (laboratory, practice classes), seminars, teamwork 45 16.    Other course activities 16.1. Projects, seminar papers 0 16.2. Individual tasks 60 16.3. Homework and self-learning 60 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 49 points 5 (five) (F) from 50 to 59 points 6 (six) (E) from 60 to 69 points 7 (seven) (D) from 70 to 79 points 8 (eight) (C) from 80 to 89 points 9 (nine) (B) from 90 to 100 points 10 (ten) (A) 19.    Conditions for acquiring teacher’s signature and for taking final exam Presence of lectures and exercises 20.   Forms of assessment During the semester, two partial written exams are provided (in the 8th and 15th week of the semester, lasting a maximum of 90 minutes), and tests can be conducted during the classes. In the planned exam sessions, a written exam is taken (duration up to 135 minutes). For students who have passed the partial exams, ie the written exam, a final oral exam can be conducted (duration up to 60 minutes). The final grade includes the points from the partial exams, ie the written exam, as well as the points from the tests and the final oral exam. 21.    Language Macedonian and English 22.    Method of monitoring of teaching quality Internal evaluation and surveys 23.    Literature 23.1. Required Literature No. Author Title Publisher Year 1 Douglas J. Faires, Barbara T. Faires Calculus Random House, New York 1988