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
An introduction to Smooth Manifolds course by SWAYAM is spread over 12-weeks and falls under Mathematics. This elective course introduces learners to the fundamental concepts of the smooth manifold theory. It is a Faculty Development Programme (FDP) approved by the AICTE.
In addition to online video lectures, this course also includes books and references. Moreover, An Introduction to Smooth Manifold's certification syllabus is curated by the Indian Institute of Science, Bangalore. The curriculum comprehensively touches upon Stokes theory, orientation, submanifolds, topology, Frobenius theory, and much more. It splits into 12 learning modules, scheduled for every week.
Professor. Harish Seshadri from IISc Bangalore instructs the An Introduction to Smooth Manifold's online course. Students can choose to verify the skills acquired in this course with a certificate. For that, they need to pay the necessary certification fee. Ph.D. and Masters's students in Information theory, Robotics, Mathematics, Physics, Control theory, or Climate Sciences can enrol in this certification course.
The Highlights
- 12-week program
- Online program
- An e-certificate
- Proctored exam
- Learning modules
- Assignments
- Final assessment
Programme Offerings
- assignments
- E-certificate
- proctored exam
- Expert-driven curriculum
- Book references
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IISc Bangalore |
- An Introduction to Smooth Manifold's certification course is accessible for free.
- Candidates must pay Rs.1000 to attempt the certification exam towards the course end.
An Introduction to Smooth Manifolds fee structure
Course | Fee |
An Introduction to Smooth Manifolds (Audit only) | FREE |
An Introduction to Smooth Manifolds (with certificate) | Rs. 1000 |
Eligibility Criteria
Candidates need to know mathematical concepts relating to linear algebra, real analysis, multivariable calculus, and topology to pursue the Introduction to Smooth Manifolds program.
Moreover, SWAYAM will award the Introduction to Smooth Manifolds certification to candidates who secure the following marks: average assignment score >/= 10/25 and exam score >/= 30/75.
What you will learn
An Introduction to Smooth Manifold's certification course touches upon the following concepts:
- Smooth manifold theory
- Frobenius theory
- Stokes theorem
- Submanifolds
- Topology
- Lie algebras, brackets, and groups
- Exterior derivative
- Integrating manifolds
Who it is for
An Introduction to Smooth Manifolds training is intended for candidates pursuing a master's or Ph.D. in Robotics, Mathematics, Physics, and Climate Sciences.
Admission Details
Step 1: Access the Introduction to Smooth Manifolds course’s official webpage using the weblink: An Introduction to smooth Manifolds - Course (nptel.ac.in)
Step 2: Click on the register option available on the top.
Step 3: Use a social account such as Microsoft, Google, or Facebook to register with SWAYAM. If not, enter a username, password, and email address of your choice.
Step 4: Create a learner’s account. Visit your learning dashboard and add the course.
Application Details
For the Introduction to Smooth Manifold's online course, candidates only need to fill a registration form by providing their contact and qualification details. Students need not fill a physical application for the admission process.
The Syllabus
Instructors
IISc Bangalore Frequently Asked Questions (FAQ's)
Candidates can refer to books like Loring Tu’s An Introduction to Manifolds, Kumaresan’s A course in differential geometry and Lie groups, and John Lee’s Introduction to Smooth Manifolds.
No, candidates only receive an e-certificate verifiable on NPTEL’s website.
Yes. If candidates want the course certificate, they must attempt the proctored exam, along with the 12 in-course assignments.
Yes. For the certification, 75% of the marks obtained in the final exam are considered for the final score.
If you wish to only audit the course, you do not need to pay the certification fee. You can access the course material by simply creating a learning account with SWAYAM.