Ders Planı

ISTANBUL AYDIN UNIVERSITY

CLASS 1

CLASS 4

Lesson plan / COMPLEX VARIABLES AND APPLICATIONS

Lesson Information

Course Credit	3.0
Course ECTS Credit	5.0
Teaching Language of Instruction	İngilizce
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course	Compulsory
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	Z
Course Coordinator
Instructor (s)	Assist. Prof. Dr. MOHAMMED ALKRUNZ
Course Assistant

Purpose and Content

The aim of the course	To teach the basic topics of Complex Analysis. To teach the basic methods of proof and to develop the ability to solve theoretical problems.
Course Content	The Complex Number System: The Extended Plane, Metric Spaces and the Topology of Complex Number System, Elementary Properties and Examples of Analytic Functions, Complex Integration, Singularities: Residues, The Argument Principle, The Maximum Modulus Theorem, Compactness and Convergence in the Space of Analytic Functions: The Riemann Mapping Theorem.

Learning Outcomes

Mathematics , Science and sufficient knowledge in electrical engineering issues; theoretical and practical knowledge in the field of Electrical and Electronics Engineering the ability to apply for modeling and problem solving.
Ability to identify, define, formulate and solve complex engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to work effectively in interdisciplinary and multidisciplinary teams; ability to work individually .
Act according to ethical , professional and ethical responsibility about the standards used in electrical and electronic engineering applications
The ability to design to meet specific needs;complex system , process, device or product under realistic constraints and conditions , the ability to apply modern design methods for this purpose .
Awareness of the necessity of lifelong learning ; Access to knowledge, science and developments in technology and continuous self -improvement.
Awareness of universal and social dimensions of health electrical engineering applications , contemporary issues and their impact on the environment and safety ; awareness of the legal consequences of engineering solutions .
Ability to communicate effectively in Turkish, both oral and written, with at least one foreign language knowledge, ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, giving clear and concise instructions and receiving skills.
Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.
Analyzing and solving using modern techniques and tools for complex problems encountered in the electrical and electronics application development , selection and use of skills , skills to use ICT effectively
Designing experiments for the study of electrical engineering problems , conduct experiments, collect data , analyze and interpret the results .
Awareness about occupational health and safety
Development and scientific publications of conciousness can be followed in the electrical and electronics engineering. Developed will be able to access the resources that it can meet the education requirements for the new system awareness.

Weekly Course Subjects

1	Complex numbers and its properties
2	Moduli and Conjugates
3	Polar coordinates and Euler's formula
4	Products and quotients in exponential form
5	Roots of complex numbers
6	Regions in the complex plane and functions of complex variable
7	Limits, Continuity and Derivatives
8	Midterm
9	Cauchy-Riemann equations
10	Analytic functions
11	The exponential functions and Logarithmic functions
12	Complex exponents
13	Integration, differentiation, multiplication and dividing of power series
14	Residues

Resources

1-J. W. Brown and R. V. Churchill, “Complex Variables & Applications”, 8th Edition

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