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.

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Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
CHE 306: Engineering Analysis II
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.

Course Chapters

1
Introduction

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

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2
Laplace Transforms (1)

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

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3
Laplace Transforms (2)

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

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4
Laplace Transforms (3)

Some elementary Laplace transforms.

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5
Inverse Laplace Transforms

Definition and evaluation of inverse Laplace transforms.

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6
Applications of Laplace Transforms

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

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7
Mellin Transforms

Definition and existence of Mellin transforms and their inverses.

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8
Hankel Transforms

Definition and existence of Hankel transforms and their inverses.

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9
Fourier Transforms (1)

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

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10
Fourier Transforms (2)

General properties of Fourier transforms.

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