Akademik Dersler - Tanıtım


Code - Course Title	MAT430 - Linear Differential Equations
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	PROFESÖR TANER BÜYÜKKÖROĞLU
Mode of Delivery	The mode of delivery of this course is Face to face.
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Differentiel Equations I, Differentiel Equations II, Linear Algebra I, Linear Algebra II, Matrix Analysis.
Recommended Reading List	Tenenbaum M., Pollard H. (1985) Ordinary Differential Equations, Dover.
Assessment methods and criteria	Written exam.
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Matrices, eigenvalues and eigenvectors.
Week - 2	Diagonalization, canonical forms.
Week - 3	Matrix exponentials.
Week - 4	Discrete and continuous linear systems.
Week - 5	General solutions of linear differential equations. Initial value problems.
Week - 6	Applications of second order linear differential equations.
Week - 7	Basic theory of linear differential equations.
Week - 8	Linear systems in R^2. Phase plane, trajectories.
Week - 9	Jordan forms.
Week - 10	Theory of stability, basic concepts.
Week - 11	Hurwitz and Schur stability of matrices.
Week - 12	Stability of solutions of differential equations.
Week - 13	Asimptotic stability, stability theorems.
Week - 14	Non-homogenous linear systems.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
2.Midterm Exam	1	25
Final Exam	1	50
Toplam (%)		100