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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

Modelling is imperative for understanding a large-scale process’s dynamics. Undertaking the process’s model equations-based virtual experiments, one can optimise operating conditions or/and design the systems efficiently. In most of these practical procedures, model equations deal with numerous parameters, ultimately resulting in partial differential equations (PDEs). The Partial Differential Equations (PDE) For Engineers programme helps candidates obtain holistic knowledge about this.

This four-week course in Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables by Swayam is an elective programme. Here, students will learn about the various solutions undertaken by process engineers to solve PDEs, including the separation of variables, which is this training’s primary focus. Falling under the ‘Mathematics’ category, this is a PG/UG-tier curriculum.

This training aims to establish solution technique skills among students, helping them become fluent in solving PDEs for various engineering applications. The curriculum also includes an optional Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables certificate. Interested applicants can obtain this by submitting all their assignments and clearing the course-end test.

The Highlights

FDP curriculum
Online lectures and offline evaluations
In-course assessments
AICTE-approved
Postgraduate/Undergraduate-level
‘Mathematics’ domain
Four-week duration
IIT Kharagpur’s short-term programme
Well-experienced instructor
Digitally-verifiable certificates
No-cost admission
IIT Kharagpur and NPTEL’s accreditation

Programme Offerings

IIT Kharagpur’s educator and syllabus
Virtual lessons
Sample YouTube video
E-certificates
Evaluations
assessments
Short modules
AICTE-approved curriculum

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Kharagpur

This course is free.
The Partial Differential Equations (PDE) For Engineers certificate exam registration requires an Rs. 1,000 fee, which is only for students seeking certification.

Partial Differential Equations (PDE) For Engineers course fee structure

Programme option	Payable fees
Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables - course only	NA
Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables - certification test registration	Rs. 1,000

Eligibility Criteria

Students with Mathematics’ introductory knowledge are eligible for the Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables programme.

Certification qualifying details

The Partial Differential Equations (PDE) For Engineers, certification depends on specific criteria. Students must participate in Swayam’s proctored test (offline) and complete all the in-course assessments. These will determine the candidate’s final programme score.

75% of his/her offline examination score upon 100 will be considered for the final marks. Here, a 30/75 marking or more is compulsory.

25% of his/her top-scoring three assignments (amongst the four) will be evaluated for the student’s final score. Here, at least 10/25 is mandatory.

By fulfilling these markings, the candidate will obtain a final score of 40/100 or higher, granting them the Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables certificate. However, if they acquire 40 or more without fulfilling the specified criteria, Swayam will not provide the e-certificate.

What you will learn

Mathematical skill

The Partial Differential Equations (PDE) For Engineers certification syllabus helps students understand and further apply the relevant concepts in their professions:

PDE types
Boundary conditions and their classifications
Applying PDE’s linear superposition
Separation variables methods for solving PDEs
Solving parabolic PDEs through separation variables methods
Solving higher-dimensional PDEs
Solving hyperbolic and elliptic PDEs through separation variables methods
Spherical and cylindrical coordinates PDEs

Who it is for

This elective Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables certification course is ideal for PhD/BE/MS/ME/MSc/BSc students who are either at their PG or UG-level of study.

Admission Details

https://onlinecourses.nptel.ac.in/noc23_ma23/preview - You can go here to preview the Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables training.
‘Sign-in/Register’ - Once you’re done reading about the programme information, use this option to register or log in. You must provide your required details for the former, and for the latter, your existing Swayam account credentials will suffice.
If you’re creating your account, use the ‘send verification code’ button after filling in your details to verify your ID.
The code will reach your registered email. Enter it and conclude activation by choosing the ‘create’ tab.
Your Swayam learning ID will activate. Once the course starts, you can use it to access the curriculum content.

Application Details

The Partial Differential Equations (PDE) For Engineers online course has no admission form. All you need to do for enrolling is creating your Swayam account through your email. Select your password and username, verify the details, and your profile will be ready for learning the programme.

The Syllabus

Introduction
Definition & Type of PDE
Classification of various boundary condition & PDEs
Application of principle of linear superposition for PDE
Introduction of separations variables methods for solution of PDE

Solution of parabolic PDE using separation variables methods
Solution of higher dimensional PDEs

Solution of Elliptic & Hyperbolic PDE using separation variables methods

PDE in cylindrical and Spherical coordinate

Evaluation process

Swayam mandates aspirants to register for the Partial Differential Equations (PDE) For Engineers: Solution by Separation of Variables certification exam. This will be done through the registration URL, where candidates can fill up their online form and pay the required costs for applying for this test.

This offline proctored examination will commence across nation-wide test centres through two sessions - morning and afternoon. To know more about the timings, allotted centres, sessions, dates, etc., learners can go through the registration form when Swayam releases it online on their portal.