Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT549	LİNEER OLMAYAN DİFERANSİYEL DENKLEMLER I	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To introduce nonlinear differential equations

Name of Lecturer(s)

Doç.Dr.Yusuf PANDIR

Learning Outcomes

1	To learn nonlinear differential equations
2	To apply nonlinear differential equations

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Kudryashov method, Generalized Kudryashov method, Adomian decomposition method ,Variational iteration method, Homotopy analysis method,homotopy perturbation method, Lagrange characteristic method, finite difference method , finite element method, Differential transformation method ,Fractional subequation method,first integral method , (𝐺󸀠/𝐺)-expansion method ,Fractional complex transform method,modified simple equation method,Jacobi elliptic function expansion method Nonlinear operators, Definition of nonlinear differential equations, Differential equations that can be linearized: Bernoulli differential equation, Riccati differential equation, Differential equations with multiple degrees, Singular solutions: Clairut equation, d’Alembert equation, Variable replacement

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Kudryashov method
2	Generalized Kudryashov method
3	Adomian decomposition method
4	Variational iteration method
5	Homotopy analysis method
6	homotopy perturbation method
7	Lagrange characteristic method
8	finite difference method
9	finite element method
10	Differential transformation method
11	Fractional subequation method
12	first integral method
13	(𝐺󸀠/𝐺)-expansion method
14	Extended (𝐺󸀠/𝐺)-expansion method

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	100	100
Final Examination	1	50	50
Makeup Examination	1	30	30
TOTAL WORKLOAD (hours)			180

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High