Integral Transforms and Their Application

Објавено: February 28, 2019

Course: Integral Transforms and Their Application

Code: 3ФЕИТ08006

ECTS points: 6 ЕКТС

Number of classes per week: 3+0+0+3

Lecturers: Prof. Dr. Katerina Hadji – Velkova Saneva, Asst. Prof. Dr. Sanja Atanasova

Course Goals (acquired competencies): After completing the course, the student will gain advanced mathematical knowledge of different integral transforms, their properties and inverse formulas. The student will be able to apply appropriate integral transformation as a mathematical tool for solving various problems in applied mathematics and engineering.

Course Syllabus: Importance of the integral transforms for engineering. Basic concepts and definitions. Transforms and their properties: Fourier transform, Laplace transform, z-transform, short-time Fourier transform, wavelet transform, Stockwell transform. Asymptotic properties of integral transforms. Application of integral transforms in solving differential and integral equations, theory of series, integral calculus, mathematical statistics and electrical engineering.

Literature:

Required Literature

No.

Author

Title

Publisher

Year

1

L. Debnath, D. Bhatta Integral Transforms and Their Applications Chapman&Hall/CRC, second edition 2006

2

K. Grochening Foundations of Time-Frequency Analysis Birkhauser, Boston 2001

Additional Literature

No.

Author

Title

Publisher

Year

1

B. Davies Integral Transforms and Their Applications Springer 2010

2

J. W. Miles Integral Transforms in Applied Mathematics Cambridge University Press 2008