1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
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 638SELECTED TOPICS IN NUMERICAL ANALYSIS3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to teach numerical methods to obtain approximate solutions of problems encountered in science and engineering and to analyze the stability of these methods.
Course Content General approach to initial value problems theory, Euler method, high order Taylor method, Runge-Kutta methods, Error checking and Runge-Kutta-Fehlberg method, Multistep methods, Extrapolation methods, High order equations and differential equation methods, Stability analysis.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Expresses initial value problems.
2Defines the concepts of multi-step methods and extrapolation methods.
3Expresses the concepts of stability analysis.
4Makes stability analysis.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001        
LO 002        
LO 003        
LO 004        
Sub Total        
Contribution00000000

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 Fall1MUKADDES ÖKTEN TURACI


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 638 SELECTED TOPICS IN NUMERICAL ANALYSIS 3 + 0 1 Turkish 2023-2024 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. MUKADDES ÖKTEN TURACI moktenturaci@pau.edu.tr FEN A0313 %70
Goals The aim of this course is to teach numerical methods to obtain approximate solutions of problems encountered in science and engineering and to analyze the stability of these methods.
Content General approach to initial value problems theory, Euler method, high order Taylor method, Runge-Kutta methods, Error checking and Runge-Kutta-Fehlberg method, Multistep methods, Extrapolation methods, High order equations and differential equation methods, Stability analysis.
Topics
WeeksTopics
1 An Overview of the Theory of Initial–Value Problems
2 Euler Method, Higher Order Taylor Method
3 Euler Method, Higher Order Taylor Method
4 Runge-Kutta Methods
5 Runge-Kutta Methods
6 Error Control and Runge-Kutta-Fehlberg Method, Multi-Step Methods
7 Error Control and Runge-Kutta-Fehlberg Method, Multi-Step Methods
8 Extrapolation Methods
9 Extrapolation Methods
10 Higher Order Equations and Systems of Differential Equation
11 Higher Order Equations and Systems of Differential Equation
12 Higher Order Equations and Systems of Differential Equation
13 Stability Analysis
14 Stability Analysis
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