1. SECOND CYCLE - MASTER'S 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 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
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 2023-2024 Fall1UĞUR YÜCEL


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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 2023-2024 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. UĞUR YÜCEL uyucel@pau.edu.tr FEN A0316 %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 Fourier Analysis
2 Fourier Analysis
3 Sturm-Liouville Theory
4 Sturm-Liouville Theory
5 Definition and Classification of Partial Differential Equations
6 Definition and Classification of Partial Differential Equations
7 The Method of Seperation of Variables
8 The Method of Seperation of Variables
9 The Method of Seperation of Variables
10 Integral Trasform Methods: Laplace Transform
11 Integral Trasform Methods: Laplace Transform
12 Integral Trasform Methods: Fourier Transform
13 Integral Trasform Methods: Fourier Transform
14 Integral Trasform Methods: Henkel and Mellin Transforms
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