COURSE UNIT TITLE

: COMPLEX ANALYSIS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 2004 COMPLEX ANALYSIS COMPULSORY 2 0 0 3

Offered By

Faculty of Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR MUSTAFA ÖZEL

Offered to

Geophysical Engineering

Course Objective

Algebraic and geometrical characterizations of complex analysis and its applications were aimed to be understood by students.

Learning Outcomes of the Course Unit

1   To understand the axiomatic structure of complex numbers
2   To define some basic complex functions in the complex plane
3   To correlate the limit, continuity, differentiability, and analyticity concepts
4   To explain the complex integral and the Cauchy theorems
5   To describe the properties of the analytic functions and conform transformations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Complex numbers and Complex plane
2 Limits and continuity of a complex function
3 Derivatives of a complex function and analytic functions
4 Cauchy Riemann equations and complex operators
5 The properties of the analytic functions and a line integral
6 Cauchy s Integral Theorems and Cauchy s Integral Formulas
7 Some consequences of Cauchy s Theorems
8 Power series, Taylor Maclaurin series and uniform continuity
9 The complex series, and the convergence tests
10 Laurent series and classification of singularities
11 The residue theorems
12 The evaluation of definite integrals with residues
13 Conformal mapping
14 Analytic continuation and its properties

Recomended or Required Reading

Textbook(s):
Complex Analysis: A First course complex analysis with Applications , Dennis G. Zill, Jones and Bartlett Publishers, Inc, 2009.
Supplementary Book(s):
The theory of complex functions, Turgut Başkan Uludag University Press, 2010.
The theory of complex variables of functions, Mithat Idemen Literatur Press, 2009.
Complex Variables, Murray Spiegel Publishing, Schaums Outline Series, 2010.

Planned Learning Activities and Teaching Methods

Course will be given in lecture hall. Taking notes by students are essential. Students will follow the course from lecture notes and relevant books.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 + ASG * 0.20 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Percentage of mid-term exam is 30% to the course grade. L1-2-3 will be examined
Project Assignment is 20%. L1-2-3-4
Percentage of final exam is 50% to the course grade. All learning targets (L1-2-3-4-5) will be examined

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Assoc.Prof.Dr. Mustafa ÖZEL (mustafa.ozel@deu.edu.tr)

Office Hours

13.00-14.45 Monday

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 2 6 12
Preparation for final exam 1 2 2
Midterm 1 2 2
Project Assignment 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 74

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.152
LO.252
LO.342
LO.442
LO.552

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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