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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 354COMPLEX ANALYSIS - II3 + 06th Semester6

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The purpose of this course is to introduce the concepts of functions of complex variable which have great importance in applications to the students in science and engineering.
Course Content Cauchy’s Theorems and Related Results, Convergence of Sequences and Series, Taylor Series, Laurent Series, Residue Theorem and Applications, Conformal Mapping.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Classifies the curves.
2Computes the integral on complex plane.
3Comments the results of the Cauchy-Integral theorem.
4Computes the series expansions around the points that is the function is analytic or not.
5Classifies the singular points.
6Computes the complex integral by applying the Rezidue theorem.
7Computes some real integrals by applying the complex methods.
8Identifies the argument principal.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001 34  3344 
LO 002     34   
LO 003 43    55 
LO 004 4   43 4 
LO 005 34    55 
LO 006     44 4 
LO 007 43  53   
LO 008 4   4 5  
Sub Total 2214  23171922 
Contribution0320032230

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14342
Mid-terms13636
Final examination13636
Total Work Load

ECTS Credit of the Course






156

6
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1İSMAİL YASLAN
Details 2022-2023 Spring1CANAN HAZAR GÜLEÇ
Details 2021-2022 Spring1CANAN HAZAR GÜLEÇ
Details 2020-2021 Summer1ÖZLEM GİRGİN ATLIHAN
Details 2020-2021 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2019-2020 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2018-2019 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2017-2018 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2016-2017 Spring1ÖZLEM GİRGİN ATLIHAN
Details 2015-2016 Spring1SADULLA JAFAROV
Details 2014-2015 Spring1SADULLA JAFAROV
Details 2013-2014 Spring1SADULLA JAFAROV
Details 2012-2013 Spring1SADULLA JAFAROV
Details 2011-2012 Spring1SADULLA JAFAROV
Details 2010-2011 Spring1SADULLA JAFAROV


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 354 COMPLEX ANALYSIS - II 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. İSMAİL YASLAN iyaslan@pau.edu.tr FEN A0313 %
Goals The purpose of this course is to introduce the concepts of functions of complex variable which have great importance in applications to the students in science and engineering.
Content Cauchy’s Theorems and Related Results, Convergence of Sequences and Series, Taylor Series, Laurent Series, Residue Theorem and Applications, Conformal Mapping.
Topics
WeeksTopics
1 Cauchy –Goursat theorem, simple and multiply connected domains ,
2 Cauchy integral formula, derivatives of analtyic functions,
3 Liouville s theorem and the fundamental theorem of algebra, maximum modul of functions ,convergence of sequences and series,
4 Taylor series
5 Laurent series
6 Absolute and uniform convergence of pover series ,
7 Absolute and uniform convergence of pover series
8 Integration and differentiation of pover series,unıqueness of series representations
9 Midterm
10 Zeros of the analytic functions ,residues, residue theorems
11 Three types of isolated singular points ,residues at poles ,zeros and poles of m th order
12 Evaluation of improper integrals
13 Improper integrals involving sines and cosines ,definite integrals involving sines and cosines
14 Evaluation of sum of some series with residues, logarithmic residues argument principle and Rouches theorem,Conformal mapping.
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes