Akademik Dersler - Tanıtım


Code - Course Title	MAT215 - Differential Equations I
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	2+2
ECTS	5.0
Course Instructor(s)	PROFESÖR NİHAL EGE, PROFESÖR BÜNYAMİN DEMİR
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	Calculus I, Calculus II.
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	Differential equation notion. Classification of the ordinary differential equations. Solution concept. General solution. Integral curve.
Week - 2	Seperable differential equations. Linear differential equations.
Week - 3	Change of variable, homogeneous differential equations, Bernoulli differential equations
Week - 4	Exact differential equations, integrating factor.
Week - 5	Geometrical interpretetations of first order differential equations. Slope fields.
Week - 6	Orthogonal and oblique trajectories.
Week - 7	Problems in mechanics. Problems in population.
Week - 8	Mixture problems. Autonomous equations.
Week - 9	Higher order linear differential equations.
Week - 10	Non-homogeneous linear differential equations. Reduction of order.
Week - 11	The method of Undetermined coefficients.
Week - 12	The Method of variation of parameters.
Week - 13	Cauchy-Euler differential equations.
Week - 14	Some applications of second order differential equations.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	30
2.Midterm Exam	1	30
Final Exam	1	40
Toplam (%)		100