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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
DIFFERENTIAL EQUATIONS	MTH0211	3. Semester	3 + 0	3.0	5.0

Prerequisites

None

Language of Instruction	English
Course Level	Bachelor's Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors	Gizem SEYHAN ÖZTEPE
Assistants
Goals	The aim of this lecture is to give the students the knowledge on the solution methods of differential equations, modelling and solving real life problems.
Course Content	Classification and construction differential equations, initial and boundary value problems, first order equations, homogeneous differential equations, exact differential equations, integrating factor, linear differential equations, Bernoulli and Riccati equations, applications of first order differential equations, linear homogeneous equations with constant coefficients, operator method, the method of undetermined coefficients, the method of variation of parameters, Euler differential equations
Learning Outcomes	1) Classifies differential equations. Solves homogen differential equations and exact differential equations. 2) Defines differential equation 3) Differential equations are defined and classified. 4) First-order equations are solved. 5) Determines the degree and order of differential equations 6) Knows the linear equations, Bernoulli and Riccati equations. 7) Classifies differential equations and gives the solution methodsof differential equations 8) Finds general solutions of higher order linear homogeneous equations with constant coefficients. 9) Shows the existence and uniqueness of solutions of initial value problems. 10) Some nature problems are modeling and solutions of them are interpreted. 11) Second and higher order, linear equations with constant coefficients are solved. 12) Solves seperable, homogeneous, exact differential equations, evaluates the integrating factor. 13) Calculates particular solutions by using undetermined coefficient method, operator method and variation of parameters method. 14) Evaluates the analytical solutions of given differential equations 15) Explains physical and chemical facts using the solutions of differential equations 16) Solves linear, Bernoulli, Riccati differential equations. 17) Calculates general solutions of higher order linear differential equations with variable coefficients and general solutions of nonlinear equations. 18) Solves linear, Bernoulli, Riccati differential equations. 19) Spring-mass systems are modeling and solved. 20) Laplace transforms are defined. 21) Has the knowledge on the applications of first order differential equations. 22) Solves systems of differential equations and equations by applying Laplace transformations. 23) Has the knowledge on the applications of first order differential equations. 24) Solves the higher order, constant coefficient linear homogeneous differential equation 25) Linear differential equations are solved with the help of Laplace transforms. 26) Knows operator method, the method of undetermined coefficients and the method of variation of parameters 27) Solves higer order, constant coefficient linear non-homogeneous differential equations 28) Solves Euler differential equations