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 DOKTOR 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.
Required or Recommended Resources	Perko L (2000) Differential equations and dynamical systems, Springer.
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