Complex analysis

Објавено: October 23, 2019
  1.    Course Title Complex analysis
  2.    Code 3ФЕИТ08Л008
  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/4   7.    Number of ECTS credits 3.00
  8.    Lecturer Dr Biljana Jolevska-Tuneska
  9.    Course Prerequisites Passed: Mathematics 1

10.    Course Goals (acquired competencies):  To adopt the basic concepts of complex analysis with particular reference to complex algebra and functions, analytic function, Cauchy theorem, residues, Taylor and Laurent series and their application.

11.    Course Syllabus: Complex numbers. Algebra of complex number. Sets in a complex plane. Functions of a complex variable. Analytic functions.  Cauchy-Riemann equations. Application in oscillating systems. Line integral of a complex function.  Taylor and Laurent series, zeros and singularities.  Residues. Application on solving real integrals.

12.    Learning methods:  Lectures, exercises and independent work
13.    Total number of course hours 2 + 1 + 0 + 0
14.    Distribution of course hours 45
15.    Forms of teaching 15.1. Lectures-theoretical teaching 30
15.2. Exercises (laboratory, practice classes), seminars, teamwork 15
16.    Other course activities 16.1. Projects, seminar papers 0
16.2. Individual tasks 15
16.3. Homework and self-learning 30
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 51 to 60 points     6 (six) (E)
from 61 to 70 points     7 (seven) (D)
from 71 to 80 points     8 (eight) (C)
from 81 to 90 points     9 (nine) (B)
from 91 to 100 points   10 (ten) (A)
19.    Conditions for acquiring teacher’s signature and for taking final exam none
20.    Forms of assessment During the semester, two partial written exams are provided (in the 8th and 15th week of the semester, duration up to 90 minutes), and tests can be conducted during the classes. In the scheduled exam sessions, a written exam is taken (duration up to 135 minutes).
For students who have passed the partial exams, i.e. 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, i.e. the written exam, the points from the individual student work (homeworks), the points from the tests and the final oral exam
21.    Language Macedonian and English
22.    Method of monitoring of teaching quality evaluation and questionnaires
23.    Literature
23.1. Required Literature
No. Author Title Publisher Year
1 James Brown and Ruel Churchil Complex analysis with application McGraw-Hill 2004
2 E.B.Saff, A.D.Snider Fundamentals of complex analysis with application to engineering and science Prentice Hall 14