Integral Transforms and Their Applications

Integral transforms (Laplace, Fourier, Mellin, Hankel and other transforms ), their inverses and applications to the solutions of ordinary differential equations.

2

Payment required for enrolment
Enrolment valid for 12 months
This course is also part of the following learning tracks. You may join a track to gain comprehensive knowledge across related courses.
[OAU, Ife] CHE 306: Engineering Analysis II
[OAU, Ife] CHE 306: Engineering Analysis II
Advanced engineering mathematics covering numerical and analytical methods of engineering analysis. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

Advanced engineering mathematics covering numerical and analytical methods of engineering analysis. Curated for third-year students of engineering at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.

[EKSU, Ado-Ekiti] ENG 282: Engineering Mathematics II
[EKSU, Ado-Ekiti] ENG 282: Engineering Mathematics II
Comprehensive treatise of advanced mathematics, covering complex numbers, partial differentiation, Laplace transforms, and Fourier series. Curated for second-year students of engineering and physical sciences at Ekiti State University, Ado-Ekiti, Nigeria. Other students and professionals with similar learning goals will also find this useful.

Comprehensive treatise of advanced mathematics, covering complex numbers, partial differentiation, Laplace transforms, and Fourier series. Curated for second-year students of engineering and physical sciences at Ekiti State University, Ado-Ekiti, Nigeria. Other students and professionals with similar learning goals will also find this useful.

Course Chapters

1
Introduction

Welcome and course outline. Review of elementary integral concepts. Motivation for integral transforms.

No lesson yet.

2
Laplace Transforms (1)

Definition and existence of Laplace transforms of real-valued or complex-valued functions.

No lesson yet.

3
Laplace Transforms (2)

General properties of Laplace transforms, including Laplace transforms of derivatives, integrals and convolutions.

No lesson yet.

4
Laplace Transforms (3)

Some elementary Laplace transforms.

No lesson yet.

5
Inverse Laplace Transforms

Definition and evaluation of inverse Laplace transforms.

No lesson yet.

6
Applications of Laplace Transforms

Applications of Laplace transforms to the solutions of ordinary differential equations.

No lesson yet.

7
Mellin Transforms

Definition and existence of Mellin transforms and their inverses.

No lesson yet.

8
Hankel Transforms

Definition and existence of Hankel transforms and their inverses.

No lesson yet.

9
Fourier Transforms (1)

An introduction to Fourier series. Definition and existence of Fourier transforms and their inverses.

No lesson yet.

10
Fourier Transforms (2)

General properties of Fourier transforms.

No lesson yet.