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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS	MAT4421		0 + 0	3.0	6.0

Prerequisites

None

Language of Instruction	English
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	The theory of partial differential equations has many applications in applied mathematics, physical sciences and engineering. This lecture deals with the solutions of first-order linear, semi linear, nonlinear partial differential equations and second order partial differential equations with constant variables. Also, higher order linear partial differential equations are presented.
Course Content	Classification of partial differential equations and constraction of partial differential equations, first-order linear and semilinear partial differential equations, Cauchy problem for first-order linear and semilinear partial differential equations, surfaces which are orthogonal to a given surface, first-order semilinear partial differential equations with n independent variables, first-order nonlinear partial differential equations, compatible systems and Charpit's method, Cauchy problem for general first-order partial differential equations, higher-order linear partial differential equations, second order linear partial differential equations with constant coefficients.
Learning Outcomes	1) Explains the constraction of partial differential equations and classifies these partial differential equations. . 2) Solves first-order linear and semi linear partial differential equations and knows Lagrange's method 3) Solves Cauchy problem for first-order linear and semi linear partial differential equations and finds the surfaces which are orthogonal to a given surface 4) Gives information about first-order nonlinear partial differential equations 5) Explains the compatible systems and applies Charpit's method 6) Knows first-order special type equations and partial differential equations transformed to special type equations and also their solutions 7) Gives information about higher order linear partial differential equations and solves second order partial differential equations with constant coefficients.