Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Serdal PAMUK
Associate Prof. Dr. Mine Aylin BAYRAK

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Explain the advanced selected topics in PDE's
2) Explain the mathematical models in PDE's
3) Apply the solution methods for the models in PDE's
4) Make the applications of divergence theorem
5) Explain the Harnack inequalities

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7
Learning Outcomes
	1	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	2	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	3	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	4	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	5	No relation	No relation	No relation	No relation	No relation	No relation	No relation

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Candidates are provided with in-depth knowledge on basic topics, Cauchy-Kowalewsky theorem, classification of second order PDE's, canonical forms, Hyperbolic PDE's, Cauchy problem, Riemann method, Goursat problem, method of successive approximations, Green formula in R^n, self-adjoint operators, divergence theorem, elliptic PDE's and boundary-value problems, Harnack inequalities.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

60%

		Number	Percentage
Semester Studies	Midterm Examination	1	70%
Semester Studies	Quiz	1	30%

Contribution of Final Examination to Course Grade

40%

Total

100%

Language of Instruction

Turkish

Work Placement(s)