Integral Transforms and their Applications
Explore transforms concepts and theories with Integral Transforms And Their Applications certification by NPTEL.
Online
12 WeeksQuick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The duration of the Integral Transforms And Their Applications certification course is 12 weeks. The course provides an introduction to the theory and applications of integral transforms to problems in Linear Differential Equations. The students will also get to learn the new applications in Applied Mathematics, Physics, Chemistry, Biology, and Engineering.
The students must know Ordinary Differential Equations (ODEs) and if they also know Complex variables will be an added advantage but not a compulsion. The Integral Transforms And Their Applications certification by NPTEL provides a comprehensive curriculum that includes basic concepts of integral transforms, applications of Fourier Transforms to solutions of ODEs.
Also Read: Online Mathematics Courses & Certifications
The Highlights
- 12 Weeks Duration
- Completion Certification
- Undergraduate Level Course
Programme Offerings
- Books
- Transcripts
- Video course
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Delhi |
Eligibility Criteria
Academic Qualifications
To join the Integral Transforms And Their Applications online course the students must know Ordinary Differential Equations (ODEs) and complex variables (optional).
Certification Qualifying Details
To receive a certificate after completing the Integral Transforms And Their Applications online course, the students must pass the examination with minimum marks in assignments and written examinations.
What you will learn
The course will provide students with a comprehensive understanding of integral transform theory and practical applications in the real world. After completing the Integral Transforms And Their Applications certification syllabus, the students will obtain in-depth knowledge of new applications in various fields and applications of joint Fourier-Laplace transform, Definite integrals, and Summation.
The students will be equipped with the required knowledge to apply the learned concepts in real-world applications. They will also explore fractional calculus and its application. Upon the completion of the Integral Transforms And Their Applications training, students will gain hands-on experience with the support of the industry experts of IIT Delhi.
Who it is for
This certification course is designed for undergraduate students to develop their skills and knowledge. This certification course is also beneficial for:
Admission Details
To join the Integral Transforms And Their Applications classes, follow the steps mentioned below:
Step 1: Browse the link mentioned below:
https://nptel.ac.in/courses/111102129
Step 2: Log in with a Google account or create a new one and log in.
Step 3: Fill out the form with the required information, submit it, and start the course.
The Syllabus
- Basic concepts of integral transforms. Fourier transforms: Introduction
- Basic properties
- Applications to solutions of Ordinary Differential Equations (ODE)
- Partial Differential Equations
- Applications of Fourier Transforms to solutions of ODEs, PDEs and Integral Equations
- Evaluation of definite integrals. theorems
- Watson’s Lemma, solutions to ODE
- PDE including Initial Value Problems Laplace transforms
- Introduction, Existence criteria
- Laplace (IVP) and Boundary Value Problems (BVP). transforms
- Convolution, differentiation, integration, inverse transform, Tauberian
- Applications of joint Fourier-Laplace transform
- Definite integrals
- Summation
- Hankel Transforms: Introduction, properties and applications to PDE
- Mellin transforms: Introduction
- Properties, Applications; Generalized Mellin transforms.
Hilbert Transforms
Stieltjes Transform
Z - Transforms
- Radon transform
Fractional Calculus and its Application
- Integral transforms in the fractional equation
- Wavelet Transform: Discussion on continuous and discrete
- Haar, Shannon, and Daubechie Wavelets
Instructors
IIT Delhi Frequently Asked Questions (FAQ's)
The duration of this certification course is 12 weeks. The course focuses on providing an introduction to the theory and applications of integral transforms and other aspects related to it.
The certification course curriculum includes basic concepts of integral transforms, Fourier transforms, Wavelet transforms, Integral transforms, Radon transforms, Z-Transforms and Hilbert and Stieltjes transforms.
The prerequisite to join this certification course is that the students must have done a basic Calculus and Linear Algebra course.
The industries that support this certification course are industries in the areas of Signal Processing and Communications, Data Science, Computational Fluid Dynamics, and Software Development.
This certification course can be applied by M.Tech, PhD students, and final-year advanced undergraduate and honors students.