Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT42820121310MATHEMATİCAL MODELLİNG-IIElective485
Level of Course Unit
First Cycle
Objectives of the Course
The establishment and solving of mathematical models of real world problems.
Name of Lecturer(s)
Dr. Canan Çiftçi
Learning Outcomes
1Students will develop the right thinking and the ability to comment and students will gain basic knowledge about modelling
2
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Models gotten to One-Dimensional Boundary Value Problems, Non-Linear Models, Nonlinear Boundary Value Problems, Monotone Operators and Their Potential, Gateaux Derivative and Its Applications. Variational Solutions of Nonlinear Problems, Variational Inequalities, Procedure of linearize, Approximate Solution, Convex Principle of Convergence as a sufficient condition. Discrete models, the relationship between discrete problem and continuous problem, Convergence, restlessness.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Models gotten to One-Dimensional Boundary Value Problems
2Non-Linear Models
3Nonlinear Boundary Value Problems
4Monotone Operators and Their Potential
5Gateaux Derivative and Its Applications
6Gateaux Derivative and Its Applications
7Variational Solutions of Nonlinear Problems
8Midterm exam
9Variational Inequalities
10Procedure of linearize
11Approximate Solution
12Convex Principle of Convergence as a sufficient condition
13Convex Principle of Convergence as a sufficient condition
14Discrete models
15The relationship between discrete problem and continuous problem, Convergence, restlessness.
16Final exam
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
Yarıyıl (Yıl) İçi Etkinlikleri40
Yarıyıl (Yıl) Sonu Etkinlikleri60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination166
Final Examination166
Quiz31236
Individual Study for Homework Problems31236
Individual Study for Mid term Examination31236
Individual Study for Final Examination31236
TOTAL WORKLOAD (hours)156
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
LO13344444
LO23344444
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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