Course abstract
This course covers measure and integration. We start with abstract measures and their integration theory. Next, we construct the Lebesgue measure and follow it with a detailed study of Borel measures on locally compact Hausdorff spaces. Lp spaces and product measures along with Fubini?¢â‚¬â„¢s theorem is taken up next. We finish with several classical reasul, Radon-Nikodym theorem, Ries representation theorem and Lebesgue differentiation theorem.
Course Instructor
Prof. E. K. Narayanan
I am a professor at the Department of Mathematics, Indian Institute of Science, Bangalore. My primary research area is harmonic analysis.More info
Teaching Assistant(s)
No teaching assistant data available for this course yetCourse Duration : Jan-Apr 2021
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Syllabus
Enrollment : 18-Nov-2020 to 25-Jan-2021
Exam registration : 15-Jan-2021 to 12-Mar-2021
Exam Date : 24-Apr-2021
Enrolled
683
Registered
17
Certificate Eligible
10
Certified Category Count
Gold
1
Silver
1
Elite
2
Successfully completed
6
Participation
2
Success
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Category : Successfully Completed
Elite
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Category : Elite
Silver
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Category : Silver
Gold
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Category : Gold
Legend
AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75 AND FINAL SCORE >=40BASED ON THE FINAL SCORE, Certificate criteria will be as below:
>=90 - Elite + Gold
75-89 -Elite + Silver
>=60 - Elite
40-59 - Successfully Completed
Final Score Calculation Logic
- Assignment Score = Average of best 8 out of 12 assignments.
- Final Score(Score on Certificate)= 75% of Exam Score + 25% of Assignment Score
We have taken best assignment score from both Jan 2020 and Jan2021 course
Measure Theory - Toppers list
Enrollment Statistics
Total Enrollment: 683
Registration Statistics
Total Registration : 17
Assignment Statistics
Assignment
Exam score
Final score
Exam score
Final score