Integral Transforms and Their Applications
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![[OAU, Ife] CHE 306: Engineering Analysis II](https://media.unidrills.com/LearningTracks/nyz7VmyrnU/avatar.JPEG)
[OAU, Ife] CHE 306: Engineering Analysis IIAdvanced 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
1Introduction
Welcome and course outline. Review of elementary integral concepts. Motivation for integral transforms.
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2Laplace Transforms (1)
Definition and existence of Laplace transforms of real-valued or complex-valued functions.
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3Laplace Transforms (2)
General properties of Laplace transforms, including Laplace transforms of derivatives, integrals and convolutions.
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4Laplace Transforms (3)
Some elementary Laplace transforms.
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5Inverse Laplace Transforms
Definition and evaluation of inverse Laplace transforms.
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6Applications of Laplace Transforms
Applications of Laplace transforms to the solutions of ordinary differential equations.
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7Mellin Transforms
Definition and existence of Mellin transforms and their inverses.
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8Hankel Transforms
Definition and existence of Hankel transforms and their inverses.
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9Fourier Transforms (1)
An introduction to Fourier series. Definition and existence of Fourier transforms and their inverses.
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10Fourier Transforms (2)
General properties of Fourier transforms.
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