1. THIRD CYCLE - DOCTORATE DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1781 Mathematics PhD
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 611ANALYTICAL METHODS IN APPLIED MATHEMATICS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Compulsory
Course Objective To teach analytical solution techniques of mathematical models encountered in most engineering problems.
Course Content Fourier analysis, Sturn-Liouville theory, Definition and classification of partial differential equations, The method of separation of variables, Integral transform methods.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learn Fourier analysis.
2Learn Sturn-Liouville theory.
3Defines and classifies partial differential equations.
4Solves partial differential equations by the method of separation of variables.
5Learn integral transform methods.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09
LO 001         
LO 002         
LO 003         
LO 004         
LO 005         
Sub Total         
Contribution000000000

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)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course





195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2020-2021 Fall1AYŞEGÜL DAŞCIOĞLU


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 611 ANALYTICAL METHODS IN APPLIED MATHEMATICS 3 + 0 1 Turkish 2020-2021 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. AYŞEGÜL DAŞCIOĞLU aakyuz@pau.edu.tr FEN A0310 %70
Goals To teach analytical solution techniques of mathematical models encountered in most engineering problems.
Content Fourier analysis, Sturn-Liouville theory, Definition and classification of partial differential equations, The method of separation of variables, Integral transform methods.
Topics
WeeksTopics
1 Properties of Laplace Trasforms
2 Application of Laplace Transforms to Ordinary Differential Equations
3 Application of Laplace Transforms to integral and integrodifferential Equations
4 Introduction to Partial differential equations. Solution of the Partial Differential Equations by Laplace Transforms
5 Fourier Series
6 Fourier Integrals
7 Problem of Sturm-Liouville. The method of seperable variables.
8 Exam
9 The solution of heat and wave equations by the method of separable of variables
10 Solution of Laplace equations by the separable of variables method. The formula of Poisson integral.
11 Fourier Transforms
12 Fourier Transforms
13 Applications of Fourier Transforms
14 Applications of Fourier Transforms
Materials
Materials are not specified.
Resources
ResourcesResources Language
İrfan Baki Yaşar, uygulamalı matematik ve integral dönüşümler adlı kitaplar.Türkçe
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