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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 353COMPLEX ANALYSIS - I3 + 05th Semester5,5

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
1Distinguish the relations between the complex an reel numbers.
2Applies the differentiable rules to the limit in complex functions.
3Interprets the analytic concept.
4Distinguish the relation between the harmonic and analytic functions.
5Applies the properties of the fundemental functions.
6Comments the circumference integral.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001 2    3 4 
LO 002  3   35  
LO 003 43    44 
LO 004 3    54  
LO 005  4   4 5 
LO 006 44   355 
Sub Total 1314   181818 
Contribution0220003330

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Mid-terms14646
Final examination15555
Total Work Load

ECTS Credit of the Course






143

5,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2019-2020 Fall1ÖZLEM GİRGİN ATLIHAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 353 COMPLEX ANALYSIS - I 3 + 0 1 Turkish 2019-2020 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ÖZLEM GİRGİN ATLIHAN oatlihan@pau.edu.tr FEN A0311 %
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 Introdictionto the Complex Analysis, Roots Quadratic Equations Complex Numbers and Its Algebraic Propeties
2 Modul and Conjugates, Triange Inequality, Polar Coordinates and Euler’s Formulas
3 Products and Quotients in Exponential Form, Roots of Complex Numbers
4 Regions in the Complex Plane
5 Fonctions of Complex Variable, Mapings
6 Limits, Teorems on Limits
7 Continuity, Derivatives
8 CauchyRiemann Equations, Sufficient Conditions for Differentiably
9 Midterm Exam
10 Polar Cordinates, Analytic Functions, Harmonic Functions
11 The Exponential Functions, Trigonometric Functions
12 Hyperbolic Functions, TheLogaritmic Functions and its branches
13 Complex Exponents, Inversetrigonometric and Hyperbolik Functions
14 Integral of Complex-Valued Functions, Contours, Contourİntegrals, Antiderivatives
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