• HOME
• ABOUT US
  • Name Address
  • General Description
  • Governance
  • Academic Calendar
  • Degree Programmes
  • List of Programmes in English
  • General Admission and Registration Procedures
  • Credit Mobility and Recognition of Prior Learning
  • ECTS Credit Allocation
  • Academic Guidance
  • Contacts
• Degree Programmes
  • Third Cycle Programmes (Doctorate Degree)
  • Second Cycle Programmes (Master's Degree)
  • First Cycle Programmes (Bachelor's Degree)
  • Short Cycle Programmes (Associate's Degree)
• GENERAL INFORMATION FOR STUDENTS
  • Cost of Living
  • Accommodation
  • Meals
  • Medical Facilities
  • Facilities for Disabled Students
  • Insurance
  • Financial Supports
  • Student Affairs Office
  • Practical Information for International Students
  • Language Courses
  • Work Placement Possibilities
  • Sports, Social and Cultural Facilities
  • Student Associations and Clubs
  • About İzmir - Turkey
• INTERNATIONAL RELATIONS
  • International Relations Office
  • Registration Procedures
  • Agreements
  • Coordinators
  • Documents
  • List of Programmes in English
  • ECTS / DS Labels

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS EED 2007 COMPLEX ANALYSIS COMPULSORY 3 0 0 5

Offered By

Electrical and Electronics Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASISTANT PROFESSOR HATICE DOĞAN

Offered to

Electrical and Electronics Engineering

Course Objective

To teach the fundamentals and main methods and techniques of compex analysis.

Learning Outcomes of the Course Unit

1   To be able to express the fundamental concepts of compex analysis. 2   To be able to show understanding the analytic functions concept. 3   To be able to use exponential functions, trigonometric and hyperbolic functions, logarithm and their properties. 4   To be able to understand and use the poles, essential singularities of functions. 5   To be able to use the power and Laurent series techniques. 6   To be able to use residue Integration method. 7   To be able to understand and use the calculation improper integrals arising in electrodynamics

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Properties, Addition, Subtraction, Multiplication, Conjugate operations, Complex plane, Modulus and argument of a complex number, triangular inequality, Powers and roots, Set of points in complex plane 2 Real and Imaginary parts, Complex Exponential Function, Complex trigonometric and hyperbolic functions 3 Parametric curves in Complex plane, Limits, Continuity 4 Differentiability, Analyticity, Entire Functions 5 Conditions for analyticity, Cauchy-Riemann Equations, Conditions for non-analyticity 6 Sufficient conditions for analyticity and differentiability, Harmonic Functions 7 Visa I, Line integrals in complex plane 8 Cauchy and Morera Integral Theorems, Cauchy Integral Formula 9 Derivatives of analytic functions, Power Series, Radius of Convergence, Taylor Series, Integration of Power series 10 Laurent Series, Singularities and Zeros 11 Residue 12 Visa II, Residue Integration Method 13 Evaluation of Real Integrals using the residue theorem 14 Residue integration of real integrals

Recomended or Required Reading

Textbook: Denis G. Zill, Patric D. Sahanahan, A first course in complex analysis with applications, Jones & Barlett Publications, 2003 Recommended Readings: Erwin Kreyszig, Advanced Engineering Mathematics, 8th Ed.,John Wiley & Sons Inc., 2001 James Ward Brown and Ruel V. Churchill, Complex variables and applications, McGraw-Hill, 2004 References: Other course materials: PDF files of lecture notes

Planned Learning Activities and Teaching Methods

Lectures Homeworks Examinations

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Examinations

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 3 42 Preparations before/after weekly lectures 14 3 42 Preparation for midterm exam 2 6 12 Preparation for final exam 1 20 20 Midterm 2 2 4 Final 1 3 3 TOTAL WORKLOAD (hours) 123

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 LO.1 5 5 4 4 LO.2 5 5 4 4 LO.3 5 5 4 4 LO.4 5 5 4 4 LO.5 5 5 4 4 LO.6 5 5 4 4 LO.7 5 5 4 4