Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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  • Graduate School of Sciences
  • Department of Mathematics
  • Master of Science (MS) Degree
  • Course Structure Diagram with Credits
  • Numerical Solutions of Ordinary Differential Equations
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title MAT548 - Numerical Solutions of Ordinary Differential Equations
Course Type Elective Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 7.5
Course Instructor(s) DOÇENT DOKTOR BAHAR KARAMAN
Mode of Delivery The mode of delivery of this course is only Face to face
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended None.
Required or Recommended Resources Numerical solutions of ordinary differential equations, M.K. Jain
Recommended Reading List NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS, Kendall Atkinson, Weimin Han, David Stewart, John Wiley & Sons, Inc. All.
Assessment methods and criteria A midterm and a final exam
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Basic Concepts, Definition ordinary differential equations
Week - 2 definition of initial boundary conditions adn bacis concepts
Week - 3 difference equations
Week - 4 single step methods
Week - 5 Taylor series method, Euler method, Runge Kutta methods
Week - 6 consistency analysis, stability analysis
Week - 7 implicit runge kutta methods
Week - 8 Obrechkoff mehods
Week - 9 multi step methods
Week - 10 explicit multi step methods
Week - 11 implicit multistep methods
Week - 12 general linear multistep methods
Week - 13 consistency analysis of multistep methods
Week - 14 stability analysis of multistep methods

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Question & Answer
  • Observation
  • Team/Group Work
  • Drill - Practise
  • Case Study
  • Problem Solving
  • Brain Storming
  • Competences
  • Productive
  • True to core values
  • Rational
  • Questoning
  • Entrepreneur
  • Creative
  • Follow ethical and moral rules
  • Effective use of Turkish
  • Effective use of a foreign language
  • Problem solving
  • Information Management
  • To work autonomously
  • Elementary computing skills

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 40
Final Exam 1 60
Toplam (%) 100
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