Ordu 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
FMA627	DIFFERENTIAL EQUATIONS I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

The aim of the course is • to give the basic concepts of differential equations.

Name of Lecturer(s)

Doç. Dr. Selahattin MADEN

Learning Outcomes

1	will develop the right thinking and the ability to interpret and will gain basic knowledge about mathematics.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Week 1 Differential equation and ıts basic concepts Week 2 Variables separable equations Week 3 Homogeneous equations Week 4 Fully differential equations Week 5 Bernoulli differential equations Week 6 Riccati differential equations Week 7 Vertical and inclined orbits Week 8 Midterm exam Week 9 First order and higher-order differential equations Week 10 Lagrange and Clairaut equations Week 11 Contrary to the solutions, envelopes Week 12 n-order constant coefficients linear equations Week 13 Undetermined coefficients method, short methods Week 14 Variation of parameters method Week 15 Euler's equation Week 16 Final exam

Course Contents

• Differential equation and ıt’s basic concepts. • Variables separable, • Homogeneous, • Fully differential, linear, Bernoulli and Riccati differential equations. • Vertical and inclined orbits. • First order and higher-order differential equations, • Lagrange and Clairaut equations, • Contrary to the solutions, envelopes. • n-order constant coefficients linear equations, • Undetermined coefficients method, short methods, • Variation of parameters method. • Euler's equation.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Differential equation and ıts basic concepts
2	Variables separable equations
3	Homogeneous equations
4	Fully differential equations
5	Bernoulli differential equations
6	Riccati differential equations
7	Vertical and inclined orbits
8	Midterm exam
9	First order and higher-order differential equations
10	Lagrange and Clairaut equations
11	Contrary to the solutions, envelopes
12	n-order constant coefficients linear equations
13	Undetermined coefficients method, short methods
14	Variation of parameters method
15	Euler's equation
16	Final exam

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Quiz	14	2	28
Attending Lectures	14	3	42
Self Study	14	3	42
Individual Study for Homework Problems	14	3	42
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	20	20
TOTAL WORKLOAD (hours)			198

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	5

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