COURSE UNIT TITLE

: COMPLEZ ANALYSIS I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 3013 COMPLEZ ANALYSIS I COMPULSORY 4 0 0 5

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ADEM ÇELIK

Offered to

Mathematics Teacher Education

Course Objective

To introduce the concept of complex numbers and complex plane, the to give single real variable functions concepts of calculus for complex variable functions, to compare these concepts

Learning Outcomes of the Course Unit

1   Understanding of the relationship between the plane IR2 and a complex plane (Gauss's plane)
2   To be able to understand of differences and similarities between single real variable functions concepts of calculus and complex variable functions concepts of calculus, to apply
3   Acquire the concept of complex function
4   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 number of axioms for complex numbers
2 Analytic geometry in complex numbers
3 The complex exponential functions, trigonometric functions, Hyperstatic function
4 Logarithm function, inverse trigonometric and inverse Hyperstatic functions
5 The complex exponent, complex term sequences
6 Limit of complex functions
7 Continuity of complex functions
8 Midterm exam
9 Derivative in complex functions
10 The concept of analytic function
11 Integral definition of complex curved, properties, Cauchy's theorem
12 Cauchy's integral formula and the results
13 Introduction to series of complex numbers, sequences and series of functions
14 Taylor expansion, Laurent expansion, classification of single punctuation, Residue theorem and its application
15 Final exam

Recomended or Required Reading

Matematik Analiz, Cilt II, Mustafa Balcı; Yüksek Matematik 2. Cilt, H. Halilov, A. Hsanoğlu, M. Can; Matematik Analiz ve Analitik Geometri, Cilt II Çeviri Editörü: Ömer Akın

Planned Learning Activities and Teaching Methods

lecture based instruction, question-answer, group working

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 STT TERM WORK (SEMESTER)
3 FINS FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + STT * 0.10 + FINS * 0.60
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

adem.celik@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 15 15
Preparation for final exam 1 20 20
Preparing assignments 1 6 6
Preparing presentations 1 2 2
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 125

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.1552
LO.2552
LO.3552
LO.4552
LO.5552