COURSE UNIT TITLE

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR BAŞAK KARPUZ

Offered to

Mathematics
Mathematics

Course Objective

The aim of this course is to introduce fundamental concepts of applied mathematics and build relations between other theoretical fields of mathematics.

Learning Outcomes of the Course Unit

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Recomended or Required Reading

Textbooks:
Györi, I.; Ladas, G.Oscillation Theory of Delay Differential Equations with Applications. The Clarendon Press, Oxford University Press, New York, 1991.

Supplementary Books:
Agarwal, Ravi P.; Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander. Nonoscillation Theory of Functional Differential Equations with Applications.Springer, New York, 2012.
Agarwal, Ravi P.; Bohner, Martin; Grace, Said R.; O'Regan, Donal. Discrete Oscillation Theory. Hindawi Publishing Corporation, New York, 2005.
Agarwal, Ravi P.; Bohner, Martin; Li, Wan-Tong. Nonoscillation and Oscillation: Theory for Functional Differential Equations.Monographs and Textbooks in Pure and Applied Mathematics, 267. Marcel Dekker, Inc., New York, 2004.
Agarwal, Ravi P.; Grace, Said R.; O'Regan, Donal. Oscillation Theory for Difference and Functional Differential Equations.Kluwer Academic Publishers, Dordrecht, 2000.
Erbe, L. H.; Kong, Qingkai; Zhang, B. G. Oscillation Theory for Functional-Differential Equations.Monographs and Textbooks in Pure and Applied Mathematics, 190. Marcel Dekker, Inc., New York, 1995.
Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G. Oscillation Theory of Differential Equations with Deviating Arguments.Monographs and Textbooks in Pure and Applied Mathematics, 110. Marcel Dekker, Inc., New York, 1987
Swanson, C. A. Comparison and Oscillation Theory of Linear Differential Equations. Mathematics in Science and Engineering, Vol. 48. Academic Press, New York-London, 1968.

Planned Learning Activities and Teaching Methods

Lecture Notes, Presentations, Problem Solving

Assessment Methods

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student.
It is necessary that attendance to the lecture and homework delivery must be on time.
Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy.
You can find the graduate policy at http://web.fbe.deu.edu.tr

Contact Details for the Lecturer(s)

e-mail: basak.karpuz@deu.edu.tr
Office: 0 (232) 301 85 76

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Contribution of Learning Outcomes to Programme Outcomes