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
MAT517	VARIATION CALCULUS AND PREFACE OF AUTOMATIC CONTR0L	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To teach the basic topics of variational calculus.

Name of Lecturer(s)

Prof. Dr. Mammad MUSTAFAYEV

Learning Outcomes

1	To define given concepts
2	To explain the basic examples of given concepts.
3	To explain the usage areas of given concepts.
4	The canonical form of the Euler equations and related topics.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Variation calculation methods, Euler equation, Variation calculation of some functionals, I. and II. Variation, Basic lemma of variation calculation, Isoperimetric problem, Sufficient condition for minimum

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Elements of the theory
2	Further Generalizations
3	Further Generalizations
4	Further Generalizations
5	The general variation of a functional
6	The general variation of a functional
7	The general variation of a functional
8	midterm examination
9	The general variation of a functional
10	The general variation of a functional
11	The canonical form of the Euler equations and related topics
12	The canonical form of the Euler equations and related topics
13	The canonical form of the Euler equations and related topics
14	The canonical form of the Euler equations and related topics
15	The canonical form of the Euler equations and related topics
16	final examination

Recommended or Required Reading

Calculus of Variation, I.M. Gelfand, S. V. Fomin, Prentice-Hall, inc., New Jersey, 1963.

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)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Individual Study for Homework Problems	14	3	42
Individual Study for Mid term Examination	14	3	42
Individual Study for Final Examination	14	2	28
Homework	7	2	14
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

LO4

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