Print Content

Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
DIFFERENTIAL EQUATIONS II	MAT3316		0 + 0	3.0	4.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	The goal of this course is to find particular solutions, to teach solving methods of linear and nonlinear differential equations, to introduce Laplace transformation, to study boundary value problems and to find solutions by using series.
Course Content	Short methods, Variation of parameters, Euler equation, Second order linear differential equations with variable coefficients, Higher order nonlinear differential equations, Laplace transforms and properties, The unit step function, Laplace transforms of derivatives, Inverse Laplace transforms, Applications of Laplace transform, Linear boundary value problems, Green function, Sturm-Liouville problems, Power series solutions about an ordinary point, Frobenius method
Learning Outcomes	1) Finds the general solution of linear differential equations with variable coefficients. 2) Calculates the solution of higher order nonlinear differential equations 3) Recognizes the Laplace transforms 4) Solves differential equations and differential systems with continuous and piecewise continuous forced terms by using Laplace transformations. 5) Queries existence and uniqueness of solutions of boundary value problems. 6) Sets the Green function. 7) Examines the properties of Sturm-Liouville problems. 8) Using the method of power series, finds the series solutions about ordinary point. 9) Applies Frobenius method about singular point.