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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

The Online certification course on the Measure Theory by Swayam will be covering the key concepts and principles that are involved in integration and measure. The course will begin the training by introducing the candidates to the applications of- integration theory and the abstract measures along with their applications. In the next half of the online course, the trainers will be dealing with the theories that pertain to- the Lebesgue measure and its real-world applications.

The course will also provide the students with a detailed study of Borel measures on locally compact Hausdorff spaces. The Measure Theory certification syllabus will also comprehensively elaborate on the principles of- Lp spaces and product measures along with Fubini’s theorem. In the period of twelve weeks, the applicants will also be provided with the assignments on several classical results such as- the Ries representation theorem, the  Radon-Nikodym theorem, and the Lebesgue differentiation theorem.

The Highlights

  • Certificate by NPTEL and IISc Bangalore
  • 12 weeks programme
  • Course provided in association with IISc Bangalore and NPTEL 
  • AICTE approved FDP course
  • Course provided by Swayam

Programme Offerings

  • video lectures
  • Reading Material
  • test
  • videos
  • Quiz
  • case study
  • Self-assessments
  • online learning
  • audio lectures
  • Online discussion forum

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIISc Bangalore
  • The registration fee for the Measure Theory certification is free. 
  • The Measure Theory fees for examination is Rs.1,000/- The candidates are required to pay this amount in order to get the certificate of completion.

Measure Theory fees details 

Particulars

Amount

Registration fee

Free

Examination fee

Rs.1,000/-


Eligibility Criteria

Education

Before applying to the Measure Theory certification course, the students need to have knowledge in the field of real analysis and topology.

Certification Qualification Details

The students who want to get the Measure Theory online course certification, have to apply for the final exam after the end of the programme, from the given center. Upon completing the Measure Theory certification exam successfully, candidates must achieve 75% marks out of 100. Also, they should achieve a 25% average in 8 out of 12 assignments. 

What you will learn

Mathematical skill

Upon completing the Measure Theory programme the students will develop skills on-

  • The functions of the differential theorems will be covered.
  • Lecturer classes will be conducted on Lp- spaces and its application will also be discussed.
  • Students will be covering the topics that pertain to product measuring ways.
  • The abstract method of measuring quantities will also be elaborated in the course.
  • In the Measure Theory certification syllabus candidates will be studying Borel measuring methods.
  • The use of the random-nikodym theorem in industrial applications will also be discussed.
  • Candidates will be covering the locally compact spaces in an elaborate way.
  • About the resize theorem the students will be taught.
  • They will also discuss the Lebesgue measuring ways.
  • The properties that pertain to space will be covered in the course module.

Who it is for

The Measure Theory training is for the provided students-

  • Candidates who have done training in “topology” can register for this online certification.
  • First year MSc students in mathematics can also apply for this programme.

Application Details

To procure the application form in the Measure Theory online course please follow the provided steps-

Step 1: To generate the application form and apply for the course please visit the URL-https://onlinecourses.nptel.ac.in/noc21_me69/preview.

Note-   The course for the Measure Theory programme is currently running. The enrollment is closed at the moment. The participants can apply once it opens.

The Syllabus

Instructors

IISc Bangalore Frequently Asked Questions (FAQ's)

1: What should be the education requirement to apply in this programme?

In order to apply for this online certification course, the student needs to be first-year students from the stream of mathematics in the course of M.Sc.

2: For the online course is scholarship provided?

No, for this Measure Theory certification course there will be no provision for a scholarship or any financial aid.

3: How much time will it take to complete the programme?

The Measure Theory training will be held for the time period of twelve weeks.

4: Who will take the classes in the programme?

The faculty from the IISc Bangalore will be conducting the classes for the Measure Theory programme.

5: What is the eligibility criteria for this course?

All students who have a degree in “topology” and have knowledge about the subject of “real analysis” can apply for this online programme.

6: Who will issue the certificate?

The certificate for this programme will be issued by IISc Bangalore and NPTEL.

7: Where is the course syllabus detail provided?

The syllabus has been provided on the website of the Swayam institute.

8: How to avail the course materials?

The students will be provided the course materials and guides for free. Everything will be provided to them after the registration.

9: When will the new session start?

The students will be notified with the details of the new session for the Measure Theory certification course.

10: Where can I apply for the online course?

For applying in the Measure Theory certification benefits the students can access the details of it from the website.

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