Get updates on Eligibility, Admission, Placements Fees Structure
Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The intention behind learning the Advanced Partial Differential Equations program is to understand the physical phenomenon occurring in nature. In this course, candidates will explore the basic ideas, inner workings, and characteristics of first-order equations. They will then progress to three fundamental second-order equations.
As mentioned before, the Advanced Partial Differential Equations certification syllabus will begin with the study of first-order equations such as the Burgers equation, entropy solutions, Reinmann problem, etc. After that, the course will explore the Laplace equation, Wave equation, and Heat equation in detail.
This course is an AICTE approved faculty development program. Individuals participating in the Advanced Partial Differential Equations Certification will go through a twelve-week process where they will learn through online lectures and weekly assignments under the guidance of Professor Kaushik Bal from IIT Kanpur. Participants of the course will be eligible to achieve a certificate by scoring well in assignments as well as a final offline exam.
The Highlights
- Postgraduate core course in mathematics
- List of books to refer
- Certification offered on completing the course successfully
- Online course
- 12 assignments
- In-person exam in designated centers
- Multiple centers to choose from
- An educator from IIT Kanpur
- 12-week course
- AICTE approved Faculty development program (FDP) course
Programme Offerings
- 12 week course
- 12 weekly assignments
- Certification offered after completing the course successfully
- AICTE approved Faculty development programme (FDP) course
- Multiple exam centres to choose from
- Online Course
- Educator from IIT Kanpur
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Kanpur |
- Participants who want to become eligible for a certificate for Advanced Partial Differential Equations training need to pay a fee of Rs. 1000. There is no other enrollment fee.
Advanced Partial Differential Equations program fee structure
Course Name | Fee |
Advanced Partial Differential Equations (Exam fee) | Rs. 1,000 |
Eligibility Criteria
Individuals who know several variable calculus can join the Advanced Partial Differential Equations program.
Individuals must achieve a minimum of 10 out of 25 points in assignments and 30 out of 75 in the final exam to earn a certificate.
What you will learn
Participants who go through the complete course of the Advanced Partial Differential Equations program will be fluent in the following topics:
- Wave equation
- Heat equation
- Laplace equation
- First-order equations
Who it is for
While Advanced Partial Differential Equations would be useful for anyone who wants to learn more about the subject, it is intended for individuals holding an MSc degree or equivalent or advanced undergraduates.
Admission Details
To gain admission into the Advanced Partial Differential Equations by Swayam by following these guidelines.
- Candidates need to log in with their credentials onto the Swayam website. they can be found on the top right corner of the web page: https://onlinecourses.nptel.ac.in/noc21_ma33/preview.
- If they are a first-time user, they can sign in by choosing their username and password or using their Microsoft, Facebook, or Google account.
- They also need to fill an online form and the examination fee if required.
- Once the online form has been submitted and the payment confirmed, candidates can join the Advanced Partial Differential Equations online course.
Application Details
Advanced Partial Differential Equations program fills an online application form after signing into the Swayam website. To sign in, individuals need to choose a unique username and password or use any one of their Google, Facebook, or Microsoft accounts.
The Syllabus
Module 1: First order Equations
- Method of characteristics
- Entropy solutions
- Lax-Oleinik formula
- Riemann problem
- Transport equation
- Burgers equation
Module 2: Laplace Equation
- Harnack inequality
- Maximum principle
- Liouville theorem
- Rotational invariance and fundamental solution
- Green’s function
- Mean value theorem
Module 3: Heat Equation
- Energy Method
- Duhamel’s Principle
- Self-Similarity and Fundamental solution
- Maximum Principle
Module 4: Wave equation
- The finite speed of Propagation
- Kirchoff Techniques via reflections
- D’Alembert’s formula
Evaluation process
Advanced Partial Differential Equations training requires submission of all assignments and passing a final examination.
The average assignment score will carry a 25% weightage, and the final exam will have a 75% weightage in the final score. The final score will be the summation of the average assignment score and the final exam score.
However, if the participants score an average assignment score of less than 10/25 or a final exam score of less than 30/75, they will not get a certificate. The final score must be greater than or equal to 40 out of 100.
Instructors
IIT Kanpur Frequently Asked Questions (FAQ's)
No. The examination will be held in person. Candidates can select any one of the designated exam centers in their city to give the exam.
No. Access to the course material and the lectures are free. Participants only need to pay the fee if they want to become eligible for a certificate.
No. 25% weightage is given for the assignments. If candidates score less than or equal to 10/25 on the assignments, they will not be awarded the certificate irrespective of their final exam score.
Yes. This is an AICTE approved FDP course.
Candidates can prepare for this course by learning the basics of variable calculus.