Language of Instruction

English

Level of Course Unit

First Cycle

Department / Program

MATHEMATICS

Mode of Delivery

Face to Face

Type of Course Unit

Elective

Objectives of the Course

This course is designed to develop the intuitive understanding, theory, and computational skills necessary for the concept of generalized functions. Upon completion of the course, students will have a working knowledge of the fundamental definitions and theorems of generalized functions.

Course Content

Definition of test functions and generalized functions, Types of generalized functions, Operations on generalized functions, Weak solutions of PDE's, Fourier transform, Schwartz class, Tempered distributions, Order of a distribution, Bump functions, Smooth partition of unity, Support of a distribution, Compactly supported distributions, Convergence of sequence of distributions.

Course Methods and Techniques


Prerequisites and corequisities

None

Course Coordinator

None

Name of Lecturers

Dr.Öğr.Üyesi Ahmet Batal

Assistants

None

Work Placement(s)

No

Recommended or Required Reading
Resources

Robert Strichartz, A Guide to Distribution Theory and Fourier Transform









