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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
Probabilistic Methods in PDE by Swayam is designed by IISER Pune and verified by NPTEL. Professor Anindya Goswami instructs this ongoing elective program that spans 12 weeks. The course falls under the purview of Mathematics and is based on two books, namely: Semigroup Theory and Stochastic Calculus. Candidates seeking certificates can also acquire them by paying and registering for the proctored evaluation.
The Probabilistic Methods in PDE certification syllabus introduces you to a potent research tool related to the differential equations theory. The curriculum aims to offer expertise on probability theory and PDE, considering the absence of extensive learning material on this topic. Young researchers who have to undergo time-consuming research with scattered references have easy access to the course’s compiled information, offering in-depth insights.
The Probabilistic Methods in PDE program is an advanced curriculum but is also ideal for mathematical finance, probability theory, PDE, or mathematical physics aspirants. The instructor will explain several complex theorems from the books mentioned above during the course lectures to facilitate a comprehensive approach towards the subject.
The Highlights
- Postgraduate-level training
- Elective course
- Conducted online
- Mathematics category
- FDP program (AICTE-approved)
- Complete within 12 weeks
- Communication in English
- Weekly assessments
- Study and reference material
- External exam
- By IIT IISER Pune
- E-certificate after meeting eligibility criteria
Programme Offerings
- free course
- Gradely weekly assessments
- Final proctored examination
- Course through online mode
- Course in English
- elective course
- digital course-end certificate
- credit transfer
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IISER Pune |
- Interested applicants aren’t required to provide Probabilistic Methods in PDE fees as it’s free. Although, the ones wishing to receive the e-certificate during the course-end have to pay Rs 1000/- for the external exam.
Probabilistic Methods in PDE fee structure
Course Title | Total fee |
Probabilistic Methods in PDE (enrolment only) | Free |
Probabilistic Methods in PDE (with a digital certificate) | Rs. 1000/- |
Eligibility Criteria
Candidates must have an M.Sc. degree in pure mathematics, specializing in the probability or/and analysis theory. Some courses considered a prerequisite for the Probabilistic Methods in PDE training are functional analysis, stochastic processes, measure theory, and probability theory.
Certificate Qualifying Details
Moreover, an average score of 10 on 25 in the assessments and at least 30 upon 75 for the external examination is mandatory to obtain certification.
You have to submit 12 weekly assessments, and the best eight from them will be chosen. Assignments score must be 25% or above, and the examination score must be 75% or above to gain the Probabilistic Methods in PDE course certificate.
What you will learn
With accurate comprehension of the Probabilistic Methods in PDE certification, you will have advanced knowledge about:
- Mathematical formulation, differential equations, and a review of L2 theory related to stochastic processes and integration
- Probabilistic method and Dirichlet problem
- Heat equation with a probabilistic method
- Feynman Kac formula and semigroup theory abstraction
- PDE with general elliptic operators
- Linear and semilinear evolution problems with mild solutions
Who it is for
The Probabilistic Methods in PDE online course is used for research problems in applied or pure mathematics such as mathematical physics or finance. Hence, researchers or doctoral students with areas under stochastic processes or partial differential equations, looking to understand PDE’s probabilistic techniques for solving research problems in applied or pure mathematics, are ideal.
Admission Details
Step 1) Start learning with Probabilistic Methods in PDE training by checking out the official Swayam website https://swayam.gov.in/.
Step 2) On the menu bar, tap ‘Sign-in/Register’ to open an account.
Step 3) Write the necessary information and tap ‘send verification code.
Step 4) Use the code sent to the registered emails and tap ‘Verify Code’.
Step 5) Finally, tap ‘Create’ to begin with the course.
Application Details
Registering in the Probabilistic Methods in PDE certification course is straightforward and does not involve application form-filling. Visit Swayam’s website and open your account by mentioning the username, email address, and password. Use the verification code sent to your email and start with the course. Alternatively, you can sign in with your Facebook/Google/Microsoft/current Swayam ID information.
The Syllabus
Instructors
IISER Pune Frequently Asked Questions (FAQ's)
You will have to answer 12 weekly assignments throughout the course. Out of these, the top eight are considered for the final score.
The required courses are stochastic processes, measure theory, probability theory, and functional analysis.
Swayam has appointed NPTEL to verify the program. Also, this an FDP course approved by AICTE.
No. You will only acquire an e-certificate via the email address mentioned during registration.