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
ELECTIVE

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ŞERIFE FAYDAOĞLU

Offered to

Mathematics Teacher Education

Course Objective

The aim of this course is to introduce the concept of complex numbers and complex plane, to give concepts of single real-valued functions for complex variable functions, to compare these concepts.

Learning Outcomes of the Course Unit

1   To be able to understand the relationship between the plane IR2 and a complex plane (Gauss's plane)
2   To be able to understand and apply the differences and similarities between concepts of single real-valued functions and complex variable functions.concepts of calculus, to apply
3   To be able to acquire the concept of complex function
4   To be able to acquire and apply the concept of complex integral
5   To be able to make generalizations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 The axiomatic structure of complex numbers
2 The complex exponential functions, trigonometric functions, hyperbolic and inverse function
3 Logarithm function, inverse trigonometric and inverse hyperbolic functions
4 Limit and continuity of complex functions
5 Derivative of complex functions
6 The concept of analytic function
7 Conform transformations
8 Course overview, evaluation and midterm examination
9 Definition of complex curved integral, its properties, Cauchy's theorem
10 Cauchy's integral formula and its results
11 Introduction to series of complex numbers sequences and series of functions
12 Exact functions
13 Analytical continuation
14 Algebraic functions
15 Final exam

Recomended or Required Reading

Balcı, M. (1997). Matematik analiz: Cilt 1. Balcı yayınları.
Halilov, H., Hasanoğlu, A., & Can, M. (2008). Yüksek matematik: Tek değişkenli fonksiyonlar analizi (cilt II). Istanbul: Literatür.
Edwards, C. H., Penney, D. E., & Akın, Ö. (2001). Matematik analiz ve analitik geometri. Palme Yayıncılık.

Planned Learning Activities and Teaching Methods

Lecture, Question-answer, Group working

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

serife.faydaoglu@deu.edu.tr
Hasan Ali Yücel Building Office: 420
Phone: 3012340

Office Hours

Wednesday: 11.15-12.15

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 18 18
Preparation for final exam 1 18 18
Preparing assignments 1 6 6
Preparing presentations 1 2 2
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.1551111111111211111
LO.2551111111111211111
LO.3551111111111211111
LO.4551111111111211111
LO.5551111111111211111

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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